TSTP Solution File: ALG107+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : ALG107+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n017.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 18:29:25 EDT 2022
% Result : Theorem 49.12s 49.37s
% Output : Proof 49.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG107+1 : TPTP v8.1.0. Released v2.7.0.
% 0.03/0.12 % Command : run_zenon %s %d
% 0.12/0.33 % Computer : n017.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 : Thu Jun 9 02:22:04 EDT 2022
% 0.12/0.33 % CPUTime :
% 49.12/49.37 (* PROOF-FOUND *)
% 49.12/49.37 % SZS status Theorem
% 49.12/49.37 (* BEGIN-PROOF *)
% 49.12/49.37 % SZS output start Proof
% 49.12/49.37 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))))))))))))))))))))))))))).
% 49.12/49.37 Proof.
% 49.12/49.37 assert (zenon_L1_ : (~((h3 (e10)) = (e20))) -> ((h3 (e10)) = (op2 (e22) (e22))) -> ((e20) = (op2 (e22) (e22))) -> False).
% 49.12/49.37 do 0 intro. intros zenon_H12 zenon_H13 zenon_H14.
% 49.12/49.37 cut (((h3 (e10)) = (op2 (e22) (e22))) = ((h3 (e10)) = (e20))).
% 49.12/49.37 intro zenon_D_pnotp.
% 49.12/49.37 apply zenon_H12.
% 49.12/49.37 rewrite <- zenon_D_pnotp.
% 49.12/49.37 exact zenon_H13.
% 49.12/49.37 cut (((op2 (e22) (e22)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H15].
% 49.12/49.37 cut (((h3 (e10)) = (h3 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H16].
% 49.12/49.37 congruence.
% 49.12/49.37 apply zenon_H16. apply refl_equal.
% 49.12/49.37 apply zenon_H15. apply sym_equal. exact zenon_H14.
% 49.12/49.37 (* end of lemma zenon_L1_ *)
% 49.12/49.37 assert (zenon_L2_ : ((op1 (e10) (e11)) = (e10)) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> False).
% 49.12/49.37 do 0 intro. intros zenon_H17 zenon_H18 zenon_H19.
% 49.12/49.37 elim (classic ((op1 (e10) (e11)) = (op1 (e10) (e11)))); [ zenon_intro zenon_H1a | zenon_intro zenon_H1b ].
% 49.12/49.37 cut (((op1 (e10) (e11)) = (op1 (e10) (e11))) = ((op1 (e10) (e10)) = (op1 (e10) (e11)))).
% 49.12/49.37 intro zenon_D_pnotp.
% 49.12/49.37 apply zenon_H19.
% 49.12/49.37 rewrite <- zenon_D_pnotp.
% 49.12/49.37 exact zenon_H1a.
% 49.12/49.37 cut (((op1 (e10) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H1b].
% 49.12/49.37 cut (((op1 (e10) (e11)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1c].
% 49.12/49.37 congruence.
% 49.12/49.37 cut (((op1 (e10) (e11)) = (e10)) = ((op1 (e10) (e11)) = (op1 (e10) (e10)))).
% 49.12/49.37 intro zenon_D_pnotp.
% 49.12/49.37 apply zenon_H1c.
% 49.12/49.37 rewrite <- zenon_D_pnotp.
% 49.12/49.37 exact zenon_H17.
% 49.12/49.37 cut (((e10) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1d].
% 49.12/49.37 cut (((op1 (e10) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H1b].
% 49.12/49.37 congruence.
% 49.12/49.37 apply zenon_H1b. apply refl_equal.
% 49.12/49.37 apply zenon_H1d. apply sym_equal. exact zenon_H18.
% 49.12/49.37 apply zenon_H1b. apply refl_equal.
% 49.12/49.37 apply zenon_H1b. apply refl_equal.
% 49.12/49.37 (* end of lemma zenon_L2_ *)
% 49.12/49.37 assert (zenon_L3_ : (~((op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12))) = (op1 (e11) (e10)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> False).
% 49.12/49.37 do 0 intro. intros zenon_H1e zenon_H1f zenon_H20.
% 49.12/49.37 cut (((op1 (e12) (e12)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H21].
% 49.12/49.37 cut (((op1 (e12) (op1 (e12) (e12))) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H22].
% 49.12/49.37 congruence.
% 49.12/49.37 apply zenon_H22. apply sym_equal. exact zenon_H20.
% 49.12/49.37 apply zenon_H21. apply sym_equal. exact zenon_H1f.
% 49.12/49.37 (* end of lemma zenon_L3_ *)
% 49.12/49.37 assert (zenon_L4_ : (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e10) (e10)) = (e13)) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> False).
% 49.12/49.37 do 0 intro. intros zenon_H23 zenon_H24 zenon_H25 zenon_H1f zenon_H20.
% 49.12/49.37 cut (((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) = ((op1 (e10) (e10)) = (op1 (e11) (e10)))).
% 49.12/49.37 intro zenon_D_pnotp.
% 49.12/49.37 apply zenon_H23.
% 49.12/49.37 rewrite <- zenon_D_pnotp.
% 49.12/49.37 exact zenon_H24.
% 49.12/49.37 cut (((op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12))) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1e].
% 49.12/49.37 cut (((e13) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H26].
% 49.12/49.37 congruence.
% 49.12/49.37 elim (classic ((op1 (e10) (e10)) = (op1 (e10) (e10)))); [ zenon_intro zenon_H27 | zenon_intro zenon_H28 ].
% 49.12/49.37 cut (((op1 (e10) (e10)) = (op1 (e10) (e10))) = ((e13) = (op1 (e10) (e10)))).
% 49.12/49.37 intro zenon_D_pnotp.
% 49.12/49.37 apply zenon_H26.
% 49.12/49.37 rewrite <- zenon_D_pnotp.
% 49.12/49.37 exact zenon_H27.
% 49.12/49.37 cut (((op1 (e10) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H28].
% 49.12/49.37 cut (((op1 (e10) (e10)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H29].
% 49.12/49.37 congruence.
% 49.12/49.37 exact (zenon_H29 zenon_H25).
% 49.12/49.37 apply zenon_H28. apply refl_equal.
% 49.12/49.37 apply zenon_H28. apply refl_equal.
% 49.12/49.37 apply (zenon_L3_); trivial.
% 49.12/49.37 (* end of lemma zenon_L4_ *)
% 49.12/49.37 assert (zenon_L5_ : (~((e10) = (e10))) -> False).
% 49.12/49.37 do 0 intro. intros zenon_H2a.
% 49.12/49.37 apply zenon_H2a. apply refl_equal.
% 49.12/49.37 (* end of lemma zenon_L5_ *)
% 49.12/49.37 assert (zenon_L6_ : ((op1 (e11) (e10)) = (e10)) -> ((op1 (e11) (e10)) = (e13)) -> (~((e10) = (e13))) -> False).
% 49.12/49.37 do 0 intro. intros zenon_H2b zenon_H2c zenon_H2d.
% 49.12/49.37 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H2e | zenon_intro zenon_H2f ].
% 49.12/49.37 cut (((e13) = (e13)) = ((e10) = (e13))).
% 49.12/49.37 intro zenon_D_pnotp.
% 49.12/49.37 apply zenon_H2d.
% 49.12/49.37 rewrite <- zenon_D_pnotp.
% 49.12/49.37 exact zenon_H2e.
% 49.12/49.37 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2f].
% 49.12/49.37 cut (((e13) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H30].
% 49.12/49.37 congruence.
% 49.12/49.37 cut (((op1 (e11) (e10)) = (e10)) = ((e13) = (e10))).
% 49.12/49.37 intro zenon_D_pnotp.
% 49.12/49.37 apply zenon_H30.
% 49.12/49.37 rewrite <- zenon_D_pnotp.
% 49.12/49.37 exact zenon_H2b.
% 49.12/49.37 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H2a].
% 49.12/49.37 cut (((op1 (e11) (e10)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H31].
% 49.12/49.37 congruence.
% 49.12/49.37 exact (zenon_H31 zenon_H2c).
% 49.12/49.37 apply zenon_H2a. apply refl_equal.
% 49.12/49.37 apply zenon_H2f. apply refl_equal.
% 49.12/49.37 apply zenon_H2f. apply refl_equal.
% 49.12/49.37 (* end of lemma zenon_L6_ *)
% 49.12/49.37 assert (zenon_L7_ : ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e12) (e10)) = (e13)) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> False).
% 49.12/49.37 do 0 intro. intros zenon_H24 zenon_H32 zenon_H1f zenon_H20 zenon_H33.
% 49.12/49.37 elim (classic ((op1 (e12) (e10)) = (op1 (e12) (e10)))); [ zenon_intro zenon_H34 | zenon_intro zenon_H35 ].
% 49.12/49.37 cut (((op1 (e12) (e10)) = (op1 (e12) (e10))) = ((op1 (e11) (e10)) = (op1 (e12) (e10)))).
% 49.12/49.37 intro zenon_D_pnotp.
% 49.12/49.37 apply zenon_H33.
% 49.12/49.37 rewrite <- zenon_D_pnotp.
% 49.12/49.37 exact zenon_H34.
% 49.12/49.37 cut (((op1 (e12) (e10)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H35].
% 49.12/49.37 cut (((op1 (e12) (e10)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H36].
% 49.12/49.37 congruence.
% 49.12/49.37 cut (((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) = ((op1 (e12) (e10)) = (op1 (e11) (e10)))).
% 49.12/49.37 intro zenon_D_pnotp.
% 49.12/49.37 apply zenon_H36.
% 49.12/49.37 rewrite <- zenon_D_pnotp.
% 49.12/49.37 exact zenon_H24.
% 49.12/49.37 cut (((op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12))) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1e].
% 49.12/49.37 cut (((e13) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H37].
% 49.12/49.37 congruence.
% 49.12/49.37 elim (classic ((op1 (e12) (e10)) = (op1 (e12) (e10)))); [ zenon_intro zenon_H34 | zenon_intro zenon_H35 ].
% 49.12/49.37 cut (((op1 (e12) (e10)) = (op1 (e12) (e10))) = ((e13) = (op1 (e12) (e10)))).
% 49.12/49.37 intro zenon_D_pnotp.
% 49.12/49.37 apply zenon_H37.
% 49.12/49.37 rewrite <- zenon_D_pnotp.
% 49.12/49.37 exact zenon_H34.
% 49.12/49.37 cut (((op1 (e12) (e10)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H35].
% 49.12/49.37 cut (((op1 (e12) (e10)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H38].
% 49.12/49.37 congruence.
% 49.12/49.37 exact (zenon_H38 zenon_H32).
% 49.12/49.37 apply zenon_H35. apply refl_equal.
% 49.12/49.37 apply zenon_H35. apply refl_equal.
% 49.12/49.37 apply (zenon_L3_); trivial.
% 49.12/49.37 apply zenon_H35. apply refl_equal.
% 49.12/49.37 apply zenon_H35. apply refl_equal.
% 49.12/49.37 (* end of lemma zenon_L7_ *)
% 49.12/49.37 assert (zenon_L8_ : ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e13) (e10)) = (e13)) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False).
% 49.12/49.37 do 0 intro. intros zenon_H24 zenon_H39 zenon_H1f zenon_H20 zenon_H3a.
% 49.12/49.37 elim (classic ((op1 (e13) (e10)) = (op1 (e13) (e10)))); [ zenon_intro zenon_H3b | zenon_intro zenon_H3c ].
% 49.12/49.37 cut (((op1 (e13) (e10)) = (op1 (e13) (e10))) = ((op1 (e11) (e10)) = (op1 (e13) (e10)))).
% 49.12/49.37 intro zenon_D_pnotp.
% 49.12/49.37 apply zenon_H3a.
% 49.12/49.37 rewrite <- zenon_D_pnotp.
% 49.12/49.37 exact zenon_H3b.
% 49.12/49.37 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H3c].
% 49.12/49.37 cut (((op1 (e13) (e10)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H3d].
% 49.12/49.37 congruence.
% 49.12/49.37 cut (((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) = ((op1 (e13) (e10)) = (op1 (e11) (e10)))).
% 49.12/49.37 intro zenon_D_pnotp.
% 49.12/49.37 apply zenon_H3d.
% 49.12/49.37 rewrite <- zenon_D_pnotp.
% 49.12/49.37 exact zenon_H24.
% 49.12/49.37 cut (((op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12))) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1e].
% 49.12/49.37 cut (((e13) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H3e].
% 49.12/49.37 congruence.
% 49.12/49.37 elim (classic ((op1 (e13) (e10)) = (op1 (e13) (e10)))); [ zenon_intro zenon_H3b | zenon_intro zenon_H3c ].
% 49.12/49.37 cut (((op1 (e13) (e10)) = (op1 (e13) (e10))) = ((e13) = (op1 (e13) (e10)))).
% 49.12/49.37 intro zenon_D_pnotp.
% 49.12/49.37 apply zenon_H3e.
% 49.12/49.37 rewrite <- zenon_D_pnotp.
% 49.12/49.37 exact zenon_H3b.
% 49.12/49.37 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H3c].
% 49.12/49.37 cut (((op1 (e13) (e10)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H3f].
% 49.12/49.37 congruence.
% 49.12/49.37 exact (zenon_H3f zenon_H39).
% 49.12/49.37 apply zenon_H3c. apply refl_equal.
% 49.12/49.37 apply zenon_H3c. apply refl_equal.
% 49.12/49.37 apply (zenon_L3_); trivial.
% 49.12/49.37 apply zenon_H3c. apply refl_equal.
% 49.12/49.37 apply zenon_H3c. apply refl_equal.
% 49.12/49.37 (* end of lemma zenon_L8_ *)
% 49.12/49.37 assert (zenon_L9_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((e10) = (e13))) -> ((op1 (e11) (e10)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False).
% 49.12/49.37 do 0 intro. intros zenon_H40 zenon_H23 zenon_H2d zenon_H2b zenon_H33 zenon_H24 zenon_H1f zenon_H20 zenon_H3a.
% 49.12/49.37 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H25 | zenon_intro zenon_H41 ].
% 49.12/49.37 apply (zenon_L4_); trivial.
% 49.12/49.37 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H2c | zenon_intro zenon_H42 ].
% 49.12/49.37 apply (zenon_L6_); trivial.
% 49.12/49.37 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H39 ].
% 49.12/49.37 apply (zenon_L7_); trivial.
% 49.12/49.37 apply (zenon_L8_); trivial.
% 49.12/49.37 (* end of lemma zenon_L9_ *)
% 49.12/49.37 assert (zenon_L10_ : (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e10)) = (e10)) -> False).
% 49.12/49.37 do 0 intro. intros zenon_H43 zenon_H1f zenon_H44.
% 49.12/49.37 cut (((e10) = (op1 (e12) (e12))) = ((op1 (e12) (e10)) = (op1 (e12) (e12)))).
% 49.12/49.37 intro zenon_D_pnotp.
% 49.12/49.37 apply zenon_H43.
% 49.12/49.37 rewrite <- zenon_D_pnotp.
% 49.12/49.37 exact zenon_H1f.
% 49.12/49.37 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 49.12/49.37 cut (((e10) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H46].
% 49.12/49.37 congruence.
% 49.12/49.37 elim (classic ((op1 (e12) (e10)) = (op1 (e12) (e10)))); [ zenon_intro zenon_H34 | zenon_intro zenon_H35 ].
% 49.12/49.37 cut (((op1 (e12) (e10)) = (op1 (e12) (e10))) = ((e10) = (op1 (e12) (e10)))).
% 49.12/49.37 intro zenon_D_pnotp.
% 49.12/49.37 apply zenon_H46.
% 49.12/49.37 rewrite <- zenon_D_pnotp.
% 49.12/49.37 exact zenon_H34.
% 49.12/49.37 cut (((op1 (e12) (e10)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H35].
% 49.12/49.37 cut (((op1 (e12) (e10)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H47].
% 49.12/49.37 congruence.
% 49.12/49.37 exact (zenon_H47 zenon_H44).
% 49.12/49.37 apply zenon_H35. apply refl_equal.
% 49.12/49.37 apply zenon_H35. apply refl_equal.
% 49.12/49.37 apply zenon_H45. apply refl_equal.
% 49.12/49.37 (* end of lemma zenon_L10_ *)
% 49.12/49.37 assert (zenon_L11_ : (~((e12) = (e12))) -> False).
% 49.12/49.37 do 0 intro. intros zenon_H48.
% 49.12/49.37 apply zenon_H48. apply refl_equal.
% 49.12/49.37 (* end of lemma zenon_L11_ *)
% 49.12/49.37 assert (zenon_L12_ : (~((op1 (e12) (op1 (e12) (e12))) = (op1 (e12) (e10)))) -> ((e10) = (op1 (e12) (e12))) -> False).
% 49.12/49.37 do 0 intro. intros zenon_H49 zenon_H1f.
% 49.12/49.37 cut (((op1 (e12) (e12)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H21].
% 49.12/49.37 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H48].
% 49.12/49.37 congruence.
% 49.12/49.37 apply zenon_H48. apply refl_equal.
% 49.12/49.37 apply zenon_H21. apply sym_equal. exact zenon_H1f.
% 49.12/49.37 (* end of lemma zenon_L12_ *)
% 49.12/49.37 assert (zenon_L13_ : (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((op1 (e10) (e10)) = (e11)) -> ((e10) = (op1 (e12) (e12))) -> False).
% 49.12/49.37 do 0 intro. intros zenon_H4a zenon_H20 zenon_H4b zenon_H1f.
% 49.12/49.37 cut (((e11) = (op1 (e12) (op1 (e12) (e12)))) = ((op1 (e10) (e10)) = (op1 (e12) (e10)))).
% 49.12/49.37 intro zenon_D_pnotp.
% 49.12/49.37 apply zenon_H4a.
% 49.12/49.37 rewrite <- zenon_D_pnotp.
% 49.12/49.37 exact zenon_H20.
% 49.12/49.37 cut (((op1 (e12) (op1 (e12) (e12))) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H49].
% 49.12/49.37 cut (((e11) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H4c].
% 49.12/49.37 congruence.
% 49.12/49.37 elim (classic ((op1 (e10) (e10)) = (op1 (e10) (e10)))); [ zenon_intro zenon_H27 | zenon_intro zenon_H28 ].
% 49.12/49.37 cut (((op1 (e10) (e10)) = (op1 (e10) (e10))) = ((e11) = (op1 (e10) (e10)))).
% 49.12/49.37 intro zenon_D_pnotp.
% 49.12/49.37 apply zenon_H4c.
% 49.12/49.37 rewrite <- zenon_D_pnotp.
% 49.12/49.37 exact zenon_H27.
% 49.12/49.37 cut (((op1 (e10) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H28].
% 49.12/49.37 cut (((op1 (e10) (e10)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H4d].
% 49.12/49.37 congruence.
% 49.12/49.37 exact (zenon_H4d zenon_H4b).
% 49.12/49.37 apply zenon_H28. apply refl_equal.
% 49.12/49.37 apply zenon_H28. apply refl_equal.
% 49.12/49.37 apply (zenon_L12_); trivial.
% 49.12/49.37 (* end of lemma zenon_L13_ *)
% 49.12/49.37 assert (zenon_L14_ : ((op1 (e10) (e11)) = (e10)) -> ((op1 (e10) (e11)) = (e11)) -> (~((e10) = (e11))) -> False).
% 49.12/49.37 do 0 intro. intros zenon_H17 zenon_H4e zenon_H4f.
% 49.12/49.37 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H50 | zenon_intro zenon_H51 ].
% 49.12/49.37 cut (((e11) = (e11)) = ((e10) = (e11))).
% 49.12/49.37 intro zenon_D_pnotp.
% 49.12/49.37 apply zenon_H4f.
% 49.12/49.37 rewrite <- zenon_D_pnotp.
% 49.12/49.37 exact zenon_H50.
% 49.12/49.37 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H51].
% 49.12/49.37 cut (((e11) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H52].
% 49.12/49.37 congruence.
% 49.12/49.37 cut (((op1 (e10) (e11)) = (e10)) = ((e11) = (e10))).
% 49.12/49.37 intro zenon_D_pnotp.
% 49.12/49.37 apply zenon_H52.
% 49.12/49.37 rewrite <- zenon_D_pnotp.
% 49.12/49.37 exact zenon_H17.
% 49.12/49.37 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H2a].
% 49.12/49.37 cut (((op1 (e10) (e11)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H53].
% 49.12/49.37 congruence.
% 49.12/49.37 exact (zenon_H53 zenon_H4e).
% 49.12/49.37 apply zenon_H2a. apply refl_equal.
% 49.12/49.37 apply zenon_H51. apply refl_equal.
% 49.12/49.37 apply zenon_H51. apply refl_equal.
% 49.12/49.37 (* end of lemma zenon_L14_ *)
% 49.12/49.37 assert (zenon_L15_ : ((op1 (e10) (e11)) = (e10)) -> ((op1 (e10) (e11)) = (e13)) -> (~((e10) = (e13))) -> False).
% 49.12/49.37 do 0 intro. intros zenon_H17 zenon_H54 zenon_H2d.
% 49.12/49.37 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H2e | zenon_intro zenon_H2f ].
% 49.12/49.37 cut (((e13) = (e13)) = ((e10) = (e13))).
% 49.12/49.37 intro zenon_D_pnotp.
% 49.12/49.37 apply zenon_H2d.
% 49.12/49.37 rewrite <- zenon_D_pnotp.
% 49.12/49.37 exact zenon_H2e.
% 49.12/49.37 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2f].
% 49.12/49.37 cut (((e13) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H30].
% 49.12/49.37 congruence.
% 49.12/49.37 cut (((op1 (e10) (e11)) = (e10)) = ((e13) = (e10))).
% 49.12/49.37 intro zenon_D_pnotp.
% 49.12/49.37 apply zenon_H30.
% 49.12/49.37 rewrite <- zenon_D_pnotp.
% 49.12/49.37 exact zenon_H17.
% 49.12/49.37 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H2a].
% 49.12/49.37 cut (((op1 (e10) (e11)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H55].
% 49.12/49.37 congruence.
% 49.12/49.37 exact (zenon_H55 zenon_H54).
% 49.12/49.37 apply zenon_H2a. apply refl_equal.
% 49.12/49.37 apply zenon_H2f. apply refl_equal.
% 49.12/49.37 apply zenon_H2f. apply refl_equal.
% 49.12/49.37 (* end of lemma zenon_L15_ *)
% 49.12/49.37 assert (zenon_L16_ : (~((e11) = (e11))) -> False).
% 49.12/49.37 do 0 intro. intros zenon_H51.
% 49.12/49.37 apply zenon_H51. apply refl_equal.
% 49.12/49.37 (* end of lemma zenon_L16_ *)
% 49.12/49.37 assert (zenon_L17_ : ((op1 (e10) (e12)) = (e11)) -> ((op1 (e10) (e12)) = (e13)) -> (~((e11) = (e13))) -> False).
% 49.12/49.37 do 0 intro. intros zenon_H56 zenon_H57 zenon_H58.
% 49.12/49.37 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H2e | zenon_intro zenon_H2f ].
% 49.12/49.37 cut (((e13) = (e13)) = ((e11) = (e13))).
% 49.12/49.37 intro zenon_D_pnotp.
% 49.12/49.37 apply zenon_H58.
% 49.12/49.37 rewrite <- zenon_D_pnotp.
% 49.12/49.37 exact zenon_H2e.
% 49.12/49.37 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2f].
% 49.12/49.37 cut (((e13) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H59].
% 49.12/49.37 congruence.
% 49.12/49.37 cut (((op1 (e10) (e12)) = (e11)) = ((e13) = (e11))).
% 49.12/49.37 intro zenon_D_pnotp.
% 49.12/49.37 apply zenon_H59.
% 49.12/49.37 rewrite <- zenon_D_pnotp.
% 49.12/49.37 exact zenon_H56.
% 49.12/49.37 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H51].
% 49.12/49.37 cut (((op1 (e10) (e12)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H5a].
% 49.12/49.37 congruence.
% 49.12/49.37 exact (zenon_H5a zenon_H57).
% 49.12/49.37 apply zenon_H51. apply refl_equal.
% 49.12/49.37 apply zenon_H2f. apply refl_equal.
% 49.12/49.37 apply zenon_H2f. apply refl_equal.
% 49.12/49.37 (* end of lemma zenon_L17_ *)
% 49.12/49.37 assert (zenon_L18_ : (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((op1 (e11) (e10)) = (e11)) -> ((e10) = (op1 (e12) (e12))) -> False).
% 49.12/49.37 do 0 intro. intros zenon_H33 zenon_H20 zenon_H5b zenon_H1f.
% 49.12/49.37 cut (((e11) = (op1 (e12) (op1 (e12) (e12)))) = ((op1 (e11) (e10)) = (op1 (e12) (e10)))).
% 49.12/49.37 intro zenon_D_pnotp.
% 49.12/49.37 apply zenon_H33.
% 49.12/49.37 rewrite <- zenon_D_pnotp.
% 49.12/49.37 exact zenon_H20.
% 49.12/49.37 cut (((op1 (e12) (op1 (e12) (e12))) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H49].
% 49.12/49.37 cut (((e11) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H5c].
% 49.12/49.37 congruence.
% 49.12/49.37 elim (classic ((op1 (e11) (e10)) = (op1 (e11) (e10)))); [ zenon_intro zenon_H5d | zenon_intro zenon_H5e ].
% 49.12/49.37 cut (((op1 (e11) (e10)) = (op1 (e11) (e10))) = ((e11) = (op1 (e11) (e10)))).
% 49.12/49.37 intro zenon_D_pnotp.
% 49.12/49.37 apply zenon_H5c.
% 49.12/49.37 rewrite <- zenon_D_pnotp.
% 49.12/49.37 exact zenon_H5d.
% 49.12/49.37 cut (((op1 (e11) (e10)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H5e].
% 49.12/49.37 cut (((op1 (e11) (e10)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H5f].
% 49.12/49.37 congruence.
% 49.12/49.37 exact (zenon_H5f zenon_H5b).
% 49.12/49.37 apply zenon_H5e. apply refl_equal.
% 49.12/49.37 apply zenon_H5e. apply refl_equal.
% 49.12/49.37 apply (zenon_L12_); trivial.
% 49.12/49.37 (* end of lemma zenon_L18_ *)
% 49.12/49.37 assert (zenon_L19_ : ((op1 (e11) (e11)) = (e10)) -> ((op1 (e11) (e11)) = (e11)) -> (~((e10) = (e11))) -> False).
% 49.12/49.37 do 0 intro. intros zenon_H60 zenon_H61 zenon_H4f.
% 49.12/49.37 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H50 | zenon_intro zenon_H51 ].
% 49.12/49.37 cut (((e11) = (e11)) = ((e10) = (e11))).
% 49.12/49.37 intro zenon_D_pnotp.
% 49.12/49.37 apply zenon_H4f.
% 49.12/49.37 rewrite <- zenon_D_pnotp.
% 49.12/49.37 exact zenon_H50.
% 49.12/49.37 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H51].
% 49.12/49.37 cut (((e11) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H52].
% 49.12/49.37 congruence.
% 49.12/49.37 cut (((op1 (e11) (e11)) = (e10)) = ((e11) = (e10))).
% 49.12/49.37 intro zenon_D_pnotp.
% 49.12/49.37 apply zenon_H52.
% 49.12/49.37 rewrite <- zenon_D_pnotp.
% 49.12/49.37 exact zenon_H60.
% 49.12/49.37 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H2a].
% 49.12/49.37 cut (((op1 (e11) (e11)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H62].
% 49.12/49.37 congruence.
% 49.12/49.37 exact (zenon_H62 zenon_H61).
% 49.12/49.37 apply zenon_H2a. apply refl_equal.
% 49.12/49.37 apply zenon_H51. apply refl_equal.
% 49.12/49.37 apply zenon_H51. apply refl_equal.
% 49.12/49.37 (* end of lemma zenon_L19_ *)
% 49.12/49.37 assert (zenon_L20_ : (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (e11) (e12)) = (e11)) -> False).
% 49.12/49.37 do 0 intro. intros zenon_H63 zenon_H56 zenon_H64.
% 49.12/49.37 cut (((op1 (e10) (e12)) = (e11)) = ((op1 (e10) (e12)) = (op1 (e11) (e12)))).
% 49.12/49.37 intro zenon_D_pnotp.
% 49.12/49.37 apply zenon_H63.
% 49.12/49.37 rewrite <- zenon_D_pnotp.
% 49.12/49.37 exact zenon_H56.
% 49.12/49.37 cut (((e11) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H65].
% 49.12/49.37 cut (((op1 (e10) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H66].
% 49.12/49.37 congruence.
% 49.12/49.37 apply zenon_H66. apply refl_equal.
% 49.12/49.37 apply zenon_H65. apply sym_equal. exact zenon_H64.
% 49.12/49.37 (* end of lemma zenon_L20_ *)
% 49.12/49.37 assert (zenon_L21_ : ((op1 (e10) (e12)) = (e11)) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> False).
% 49.12/49.37 do 0 intro. intros zenon_H56 zenon_H4e zenon_H67.
% 49.12/49.37 elim (classic ((op1 (e10) (e12)) = (op1 (e10) (e12)))); [ zenon_intro zenon_H68 | zenon_intro zenon_H66 ].
% 49.12/49.37 cut (((op1 (e10) (e12)) = (op1 (e10) (e12))) = ((op1 (e10) (e11)) = (op1 (e10) (e12)))).
% 49.12/49.37 intro zenon_D_pnotp.
% 49.12/49.37 apply zenon_H67.
% 49.12/49.37 rewrite <- zenon_D_pnotp.
% 49.12/49.37 exact zenon_H68.
% 49.12/49.37 cut (((op1 (e10) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H66].
% 49.12/49.37 cut (((op1 (e10) (e12)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H69].
% 49.12/49.37 congruence.
% 49.12/49.37 cut (((op1 (e10) (e12)) = (e11)) = ((op1 (e10) (e12)) = (op1 (e10) (e11)))).
% 49.12/49.37 intro zenon_D_pnotp.
% 49.12/49.37 apply zenon_H69.
% 49.12/49.37 rewrite <- zenon_D_pnotp.
% 49.12/49.37 exact zenon_H56.
% 49.12/49.37 cut (((e11) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H6a].
% 49.12/49.37 cut (((op1 (e10) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H66].
% 49.12/49.37 congruence.
% 49.12/49.37 apply zenon_H66. apply refl_equal.
% 49.12/49.37 apply zenon_H6a. apply sym_equal. exact zenon_H4e.
% 49.12/49.37 apply zenon_H66. apply refl_equal.
% 49.12/49.37 apply zenon_H66. apply refl_equal.
% 49.12/49.37 (* end of lemma zenon_L21_ *)
% 49.12/49.37 assert (zenon_L22_ : ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((op1 (e12) (e11)) = (e11)) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> False).
% 49.12/49.37 do 0 intro. intros zenon_H20 zenon_H6b zenon_H1f zenon_H6c.
% 49.12/49.37 elim (classic ((op1 (e12) (e11)) = (op1 (e12) (e11)))); [ zenon_intro zenon_H6d | zenon_intro zenon_H6e ].
% 49.12/49.37 cut (((op1 (e12) (e11)) = (op1 (e12) (e11))) = ((op1 (e12) (e10)) = (op1 (e12) (e11)))).
% 49.12/49.37 intro zenon_D_pnotp.
% 49.12/49.37 apply zenon_H6c.
% 49.12/49.37 rewrite <- zenon_D_pnotp.
% 49.12/49.37 exact zenon_H6d.
% 49.12/49.37 cut (((op1 (e12) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H6e].
% 49.12/49.37 cut (((op1 (e12) (e11)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H6f].
% 49.12/49.37 congruence.
% 49.12/49.37 cut (((e11) = (op1 (e12) (op1 (e12) (e12)))) = ((op1 (e12) (e11)) = (op1 (e12) (e10)))).
% 49.12/49.37 intro zenon_D_pnotp.
% 49.12/49.37 apply zenon_H6f.
% 49.12/49.37 rewrite <- zenon_D_pnotp.
% 49.12/49.37 exact zenon_H20.
% 49.12/49.37 cut (((op1 (e12) (op1 (e12) (e12))) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H49].
% 49.12/49.37 cut (((e11) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H70].
% 49.12/49.37 congruence.
% 49.12/49.37 elim (classic ((op1 (e12) (e11)) = (op1 (e12) (e11)))); [ zenon_intro zenon_H6d | zenon_intro zenon_H6e ].
% 49.12/49.37 cut (((op1 (e12) (e11)) = (op1 (e12) (e11))) = ((e11) = (op1 (e12) (e11)))).
% 49.12/49.37 intro zenon_D_pnotp.
% 49.12/49.37 apply zenon_H70.
% 49.12/49.37 rewrite <- zenon_D_pnotp.
% 49.12/49.37 exact zenon_H6d.
% 49.12/49.37 cut (((op1 (e12) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H6e].
% 49.12/49.37 cut (((op1 (e12) (e11)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H71].
% 49.12/49.37 congruence.
% 49.12/49.37 exact (zenon_H71 zenon_H6b).
% 49.12/49.37 apply zenon_H6e. apply refl_equal.
% 49.12/49.37 apply zenon_H6e. apply refl_equal.
% 49.12/49.37 apply (zenon_L12_); trivial.
% 49.12/49.37 apply zenon_H6e. apply refl_equal.
% 49.12/49.37 apply zenon_H6e. apply refl_equal.
% 49.12/49.37 (* end of lemma zenon_L22_ *)
% 49.12/49.37 assert (zenon_L23_ : (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e10) (e10)) = (e12)) -> ((op1 (e11) (e10)) = (e12)) -> False).
% 49.12/49.37 do 0 intro. intros zenon_H23 zenon_H72 zenon_H73.
% 49.12/49.37 cut (((op1 (e10) (e10)) = (e12)) = ((op1 (e10) (e10)) = (op1 (e11) (e10)))).
% 49.12/49.37 intro zenon_D_pnotp.
% 49.12/49.37 apply zenon_H23.
% 49.12/49.37 rewrite <- zenon_D_pnotp.
% 49.12/49.37 exact zenon_H72.
% 49.12/49.37 cut (((e12) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H74].
% 49.12/49.37 cut (((op1 (e10) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H28].
% 49.12/49.37 congruence.
% 49.12/49.37 apply zenon_H28. apply refl_equal.
% 49.12/49.37 apply zenon_H74. apply sym_equal. exact zenon_H73.
% 49.12/49.37 (* end of lemma zenon_L23_ *)
% 49.12/49.37 assert (zenon_L24_ : ((op1 (e11) (e11)) = (e10)) -> ((op1 (e11) (e11)) = (e12)) -> (~((e10) = (e12))) -> False).
% 49.12/49.37 do 0 intro. intros zenon_H60 zenon_H75 zenon_H76.
% 49.12/49.37 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H77 | zenon_intro zenon_H48 ].
% 49.12/49.37 cut (((e12) = (e12)) = ((e10) = (e12))).
% 49.12/49.37 intro zenon_D_pnotp.
% 49.12/49.37 apply zenon_H76.
% 49.12/49.37 rewrite <- zenon_D_pnotp.
% 49.12/49.37 exact zenon_H77.
% 49.12/49.37 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H48].
% 49.12/49.37 cut (((e12) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H78].
% 49.12/49.37 congruence.
% 49.12/49.37 cut (((op1 (e11) (e11)) = (e10)) = ((e12) = (e10))).
% 49.12/49.37 intro zenon_D_pnotp.
% 49.12/49.37 apply zenon_H78.
% 49.12/49.37 rewrite <- zenon_D_pnotp.
% 49.12/49.37 exact zenon_H60.
% 49.12/49.37 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H2a].
% 49.12/49.37 cut (((op1 (e11) (e11)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H79].
% 49.12/49.37 congruence.
% 49.12/49.37 exact (zenon_H79 zenon_H75).
% 49.12/49.37 apply zenon_H2a. apply refl_equal.
% 49.12/49.37 apply zenon_H48. apply refl_equal.
% 49.12/49.37 apply zenon_H48. apply refl_equal.
% 49.12/49.37 (* end of lemma zenon_L24_ *)
% 49.12/49.37 assert (zenon_L25_ : ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e11) (e11)) = (e13)) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> False).
% 49.12/49.37 do 0 intro. intros zenon_H24 zenon_H7a zenon_H1f zenon_H20 zenon_H7b.
% 49.12/49.37 elim (classic ((op1 (e11) (e11)) = (op1 (e11) (e11)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ].
% 49.12/49.37 cut (((op1 (e11) (e11)) = (op1 (e11) (e11))) = ((op1 (e11) (e10)) = (op1 (e11) (e11)))).
% 49.12/49.37 intro zenon_D_pnotp.
% 49.12/49.37 apply zenon_H7b.
% 49.12/49.37 rewrite <- zenon_D_pnotp.
% 49.12/49.37 exact zenon_H7c.
% 49.12/49.37 cut (((op1 (e11) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H7d].
% 49.12/49.37 cut (((op1 (e11) (e11)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H7e].
% 49.12/49.37 congruence.
% 49.12/49.37 cut (((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) = ((op1 (e11) (e11)) = (op1 (e11) (e10)))).
% 49.12/49.37 intro zenon_D_pnotp.
% 49.12/49.37 apply zenon_H7e.
% 49.12/49.37 rewrite <- zenon_D_pnotp.
% 49.12/49.37 exact zenon_H24.
% 49.12/49.37 cut (((op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12))) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1e].
% 49.12/49.37 cut (((e13) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H7f].
% 49.12/49.37 congruence.
% 49.12/49.37 elim (classic ((op1 (e11) (e11)) = (op1 (e11) (e11)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ].
% 49.12/49.37 cut (((op1 (e11) (e11)) = (op1 (e11) (e11))) = ((e13) = (op1 (e11) (e11)))).
% 49.12/49.37 intro zenon_D_pnotp.
% 49.12/49.37 apply zenon_H7f.
% 49.12/49.37 rewrite <- zenon_D_pnotp.
% 49.12/49.37 exact zenon_H7c.
% 49.12/49.37 cut (((op1 (e11) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H7d].
% 49.12/49.37 cut (((op1 (e11) (e11)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H80].
% 49.12/49.37 congruence.
% 49.12/49.37 exact (zenon_H80 zenon_H7a).
% 49.12/49.37 apply zenon_H7d. apply refl_equal.
% 49.12/49.37 apply zenon_H7d. apply refl_equal.
% 49.12/49.37 apply (zenon_L3_); trivial.
% 49.12/49.37 apply zenon_H7d. apply refl_equal.
% 49.12/49.37 apply zenon_H7d. apply refl_equal.
% 49.12/49.37 (* end of lemma zenon_L25_ *)
% 49.12/49.37 assert (zenon_L26_ : ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e11) (e12)) = (e13)) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> False).
% 49.12/49.37 do 0 intro. intros zenon_H24 zenon_H81 zenon_H1f zenon_H20 zenon_H82.
% 49.12/49.37 elim (classic ((op1 (e11) (e12)) = (op1 (e11) (e12)))); [ zenon_intro zenon_H83 | zenon_intro zenon_H84 ].
% 49.12/49.37 cut (((op1 (e11) (e12)) = (op1 (e11) (e12))) = ((op1 (e11) (e10)) = (op1 (e11) (e12)))).
% 49.12/49.37 intro zenon_D_pnotp.
% 49.12/49.37 apply zenon_H82.
% 49.12/49.37 rewrite <- zenon_D_pnotp.
% 49.12/49.37 exact zenon_H83.
% 49.12/49.37 cut (((op1 (e11) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H84].
% 49.12/49.37 cut (((op1 (e11) (e12)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H85].
% 49.12/49.37 congruence.
% 49.12/49.37 cut (((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) = ((op1 (e11) (e12)) = (op1 (e11) (e10)))).
% 49.12/49.37 intro zenon_D_pnotp.
% 49.12/49.37 apply zenon_H85.
% 49.12/49.37 rewrite <- zenon_D_pnotp.
% 49.12/49.37 exact zenon_H24.
% 49.12/49.37 cut (((op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12))) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1e].
% 49.12/49.37 cut (((e13) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H86].
% 49.12/49.37 congruence.
% 49.12/49.37 elim (classic ((op1 (e11) (e12)) = (op1 (e11) (e12)))); [ zenon_intro zenon_H83 | zenon_intro zenon_H84 ].
% 49.12/49.37 cut (((op1 (e11) (e12)) = (op1 (e11) (e12))) = ((e13) = (op1 (e11) (e12)))).
% 49.12/49.37 intro zenon_D_pnotp.
% 49.12/49.37 apply zenon_H86.
% 49.12/49.37 rewrite <- zenon_D_pnotp.
% 49.12/49.37 exact zenon_H83.
% 49.12/49.37 cut (((op1 (e11) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H84].
% 49.12/49.37 cut (((op1 (e11) (e12)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H87].
% 49.12/49.37 congruence.
% 49.12/49.37 exact (zenon_H87 zenon_H81).
% 49.12/49.37 apply zenon_H84. apply refl_equal.
% 49.12/49.37 apply zenon_H84. apply refl_equal.
% 49.12/49.37 apply (zenon_L3_); trivial.
% 49.12/49.37 apply zenon_H84. apply refl_equal.
% 49.12/49.37 apply zenon_H84. apply refl_equal.
% 49.12/49.37 (* end of lemma zenon_L26_ *)
% 49.12/49.37 assert (zenon_L27_ : (~((op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12))) = (op1 (e11) (e13)))) -> ((op1 (e12) (e12)) = (e13)) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> False).
% 49.12/49.37 do 0 intro. intros zenon_H88 zenon_H89 zenon_H20.
% 49.12/49.37 cut (((op1 (e12) (e12)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H8a].
% 49.12/49.37 cut (((op1 (e12) (op1 (e12) (e12))) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H22].
% 49.12/49.37 congruence.
% 49.12/49.37 apply zenon_H22. apply sym_equal. exact zenon_H20.
% 49.12/49.37 exact (zenon_H8a zenon_H89).
% 49.12/49.37 (* end of lemma zenon_L27_ *)
% 49.12/49.37 assert (zenon_L28_ : (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e10) (e13)) = (e13)) -> ((op1 (e12) (e12)) = (e13)) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> False).
% 49.12/49.37 do 0 intro. intros zenon_H8b zenon_H24 zenon_H8c zenon_H89 zenon_H20.
% 49.12/49.37 cut (((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) = ((op1 (e10) (e13)) = (op1 (e11) (e13)))).
% 49.12/49.37 intro zenon_D_pnotp.
% 49.12/49.37 apply zenon_H8b.
% 49.12/49.37 rewrite <- zenon_D_pnotp.
% 49.12/49.37 exact zenon_H24.
% 49.12/49.37 cut (((op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12))) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H88].
% 49.12/49.37 cut (((e13) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H8d].
% 49.12/49.37 congruence.
% 49.12/49.37 elim (classic ((op1 (e10) (e13)) = (op1 (e10) (e13)))); [ zenon_intro zenon_H8e | zenon_intro zenon_H8f ].
% 49.12/49.37 cut (((op1 (e10) (e13)) = (op1 (e10) (e13))) = ((e13) = (op1 (e10) (e13)))).
% 49.12/49.37 intro zenon_D_pnotp.
% 49.12/49.37 apply zenon_H8d.
% 49.12/49.37 rewrite <- zenon_D_pnotp.
% 49.12/49.37 exact zenon_H8e.
% 49.12/49.37 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H8f].
% 49.12/49.37 cut (((op1 (e10) (e13)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H90].
% 49.12/49.37 congruence.
% 49.12/49.37 exact (zenon_H90 zenon_H8c).
% 49.12/49.37 apply zenon_H8f. apply refl_equal.
% 49.12/49.37 apply zenon_H8f. apply refl_equal.
% 49.12/49.37 apply (zenon_L27_); trivial.
% 49.12/49.37 (* end of lemma zenon_L28_ *)
% 49.12/49.37 assert (zenon_L29_ : ((op1 (e13) (e10)) = (e10)) -> ((op1 (e13) (e10)) = (e12)) -> (~((e10) = (e12))) -> False).
% 49.12/49.37 do 0 intro. intros zenon_H91 zenon_H92 zenon_H76.
% 49.12/49.37 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H77 | zenon_intro zenon_H48 ].
% 49.12/49.37 cut (((e12) = (e12)) = ((e10) = (e12))).
% 49.12/49.37 intro zenon_D_pnotp.
% 49.12/49.37 apply zenon_H76.
% 49.12/49.37 rewrite <- zenon_D_pnotp.
% 49.12/49.37 exact zenon_H77.
% 49.12/49.37 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H48].
% 49.12/49.37 cut (((e12) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H78].
% 49.12/49.37 congruence.
% 49.12/49.37 cut (((op1 (e13) (e10)) = (e10)) = ((e12) = (e10))).
% 49.12/49.37 intro zenon_D_pnotp.
% 49.12/49.37 apply zenon_H78.
% 49.12/49.37 rewrite <- zenon_D_pnotp.
% 49.12/49.37 exact zenon_H91.
% 49.12/49.37 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H2a].
% 49.12/49.37 cut (((op1 (e13) (e10)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H93].
% 49.12/49.37 congruence.
% 49.12/49.37 exact (zenon_H93 zenon_H92).
% 49.12/49.37 apply zenon_H2a. apply refl_equal.
% 49.12/49.37 apply zenon_H48. apply refl_equal.
% 49.12/49.37 apply zenon_H48. apply refl_equal.
% 49.12/49.37 (* end of lemma zenon_L29_ *)
% 49.12/49.37 assert (zenon_L30_ : ((op1 (e13) (e11)) = (e11)) -> ((op1 (e13) (e11)) = (e12)) -> (~((e11) = (e12))) -> False).
% 49.12/49.37 do 0 intro. intros zenon_H94 zenon_H95 zenon_H96.
% 49.12/49.37 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H77 | zenon_intro zenon_H48 ].
% 49.12/49.37 cut (((e12) = (e12)) = ((e11) = (e12))).
% 49.12/49.37 intro zenon_D_pnotp.
% 49.12/49.37 apply zenon_H96.
% 49.12/49.37 rewrite <- zenon_D_pnotp.
% 49.12/49.37 exact zenon_H77.
% 49.12/49.37 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H48].
% 49.12/49.37 cut (((e12) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H97].
% 49.12/49.37 congruence.
% 49.12/49.37 cut (((op1 (e13) (e11)) = (e11)) = ((e12) = (e11))).
% 49.12/49.37 intro zenon_D_pnotp.
% 49.12/49.37 apply zenon_H97.
% 49.12/49.37 rewrite <- zenon_D_pnotp.
% 49.12/49.37 exact zenon_H94.
% 49.12/49.37 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H51].
% 49.12/49.37 cut (((op1 (e13) (e11)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H98].
% 49.12/49.37 congruence.
% 49.12/49.37 exact (zenon_H98 zenon_H95).
% 49.12/49.37 apply zenon_H51. apply refl_equal.
% 49.12/49.37 apply zenon_H48. apply refl_equal.
% 49.12/49.37 apply zenon_H48. apply refl_equal.
% 49.12/49.37 (* end of lemma zenon_L30_ *)
% 49.12/49.37 assert (zenon_L31_ : (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> ((op1 (e13) (e12)) = (e12)) -> False).
% 49.12/49.37 do 0 intro. intros zenon_H99 zenon_H9a zenon_H9b.
% 49.12/49.37 cut (((op1 (e11) (e12)) = (e12)) = ((op1 (e11) (e12)) = (op1 (e13) (e12)))).
% 49.12/49.37 intro zenon_D_pnotp.
% 49.12/49.37 apply zenon_H99.
% 49.12/49.37 rewrite <- zenon_D_pnotp.
% 49.12/49.37 exact zenon_H9a.
% 49.12/49.37 cut (((e12) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H9c].
% 49.12/49.37 cut (((op1 (e11) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H84].
% 49.12/49.37 congruence.
% 49.12/49.37 apply zenon_H84. apply refl_equal.
% 49.12/49.37 apply zenon_H9c. apply sym_equal. exact zenon_H9b.
% 49.12/49.37 (* end of lemma zenon_L31_ *)
% 49.12/49.37 assert (zenon_L32_ : (~((e13) = (e13))) -> False).
% 49.12/49.37 do 0 intro. intros zenon_H2f.
% 49.12/49.37 apply zenon_H2f. apply refl_equal.
% 49.12/49.37 (* end of lemma zenon_L32_ *)
% 49.12/49.37 assert (zenon_L33_ : (((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e11) (op1 (e10) (e11))) = (e11))/\(((op1 (e12) (op1 (e10) (e12))) = (e12))/\((op1 (e13) (op1 (e10) (e13))) = (e13))))) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 49.12/49.37 do 0 intro. intros zenon_H9d zenon_H8c zenon_H9e.
% 49.12/49.37 apply (zenon_and_s _ _ zenon_H9d). zenon_intro zenon_Ha0. zenon_intro zenon_H9f.
% 49.12/49.37 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_Ha2. zenon_intro zenon_Ha1.
% 49.12/49.37 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_Ha4. zenon_intro zenon_Ha3.
% 49.12/49.37 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_Ha5 | zenon_intro zenon_Ha6 ].
% 49.12/49.37 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((op1 (e10) (e13)) = (op1 (e13) (e13)))).
% 49.12/49.37 intro zenon_D_pnotp.
% 49.12/49.37 apply zenon_H9e.
% 49.12/49.37 rewrite <- zenon_D_pnotp.
% 49.12/49.37 exact zenon_Ha5.
% 49.12/49.37 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Ha6].
% 49.12/49.37 cut (((op1 (e13) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Ha7].
% 49.12/49.37 congruence.
% 49.12/49.37 cut (((op1 (e13) (op1 (e10) (e13))) = (e13)) = ((op1 (e13) (e13)) = (op1 (e10) (e13)))).
% 49.12/49.37 intro zenon_D_pnotp.
% 49.12/49.37 apply zenon_Ha7.
% 49.12/49.37 rewrite <- zenon_D_pnotp.
% 49.12/49.37 exact zenon_Ha3.
% 49.12/49.37 cut (((e13) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H8d].
% 49.12/49.37 cut (((op1 (e13) (op1 (e10) (e13))) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Ha8].
% 49.12/49.37 congruence.
% 49.12/49.37 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_Ha5 | zenon_intro zenon_Ha6 ].
% 49.12/49.37 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((op1 (e13) (op1 (e10) (e13))) = (op1 (e13) (e13)))).
% 49.12/49.37 intro zenon_D_pnotp.
% 49.12/49.37 apply zenon_Ha8.
% 49.12/49.37 rewrite <- zenon_D_pnotp.
% 49.12/49.37 exact zenon_Ha5.
% 49.12/49.37 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Ha6].
% 49.12/49.37 cut (((op1 (e13) (e13)) = (op1 (e13) (op1 (e10) (e13))))); [idtac | apply NNPP; zenon_intro zenon_Ha9].
% 49.12/49.37 congruence.
% 49.12/49.37 cut (((e13) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H8d].
% 49.12/49.37 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2f].
% 49.12/49.37 congruence.
% 49.12/49.37 apply zenon_H2f. apply refl_equal.
% 49.12/49.37 apply zenon_H8d. apply sym_equal. exact zenon_H8c.
% 49.12/49.37 apply zenon_Ha6. apply refl_equal.
% 49.12/49.37 apply zenon_Ha6. apply refl_equal.
% 49.12/49.37 apply zenon_H8d. apply sym_equal. exact zenon_H8c.
% 49.12/49.37 apply zenon_Ha6. apply refl_equal.
% 49.12/49.37 apply zenon_Ha6. apply refl_equal.
% 49.12/49.37 (* end of lemma zenon_L33_ *)
% 49.12/49.37 assert (zenon_L34_ : (~((op1 (e13) (e11)) = (op1 (e13) (op1 (e11) (e13))))) -> ((op1 (e11) (e13)) = (e11)) -> False).
% 49.12/49.37 do 0 intro. intros zenon_Haa zenon_Hab.
% 49.12/49.37 cut (((e11) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hac].
% 49.12/49.37 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2f].
% 49.12/49.37 congruence.
% 49.12/49.37 apply zenon_H2f. apply refl_equal.
% 49.12/49.37 apply zenon_Hac. apply sym_equal. exact zenon_Hab.
% 49.12/49.37 (* end of lemma zenon_L34_ *)
% 49.12/49.37 assert (zenon_L35_ : (((op1 (e10) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e12) (op1 (e11) (e12))) = (e12))/\((op1 (e13) (op1 (e11) (e13))) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e13)) = (e11)) -> ((op1 (e13) (e12)) = (e13)) -> False).
% 49.12/49.37 do 0 intro. intros zenon_Had zenon_Hae zenon_Hab zenon_Haf.
% 49.12/49.37 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hb1. zenon_intro zenon_Hb0.
% 49.12/49.37 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Hb3. zenon_intro zenon_Hb2.
% 49.12/49.37 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_Hb5. zenon_intro zenon_Hb4.
% 49.12/49.37 cut (((op1 (e13) (op1 (e11) (e13))) = (e13)) = ((op1 (e13) (e11)) = (op1 (e13) (e12)))).
% 49.12/49.37 intro zenon_D_pnotp.
% 49.12/49.37 apply zenon_Hae.
% 49.12/49.37 rewrite <- zenon_D_pnotp.
% 49.12/49.37 exact zenon_Hb4.
% 49.12/49.37 cut (((e13) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_Hb6].
% 49.12/49.37 cut (((op1 (e13) (op1 (e11) (e13))) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_Hb7].
% 49.12/49.37 congruence.
% 49.12/49.37 elim (classic ((op1 (e13) (e11)) = (op1 (e13) (e11)))); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hb9 ].
% 49.12/49.37 cut (((op1 (e13) (e11)) = (op1 (e13) (e11))) = ((op1 (e13) (op1 (e11) (e13))) = (op1 (e13) (e11)))).
% 49.12/49.37 intro zenon_D_pnotp.
% 49.12/49.37 apply zenon_Hb7.
% 49.12/49.37 rewrite <- zenon_D_pnotp.
% 49.12/49.37 exact zenon_Hb8.
% 49.12/49.37 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_Hb9].
% 49.12/49.37 cut (((op1 (e13) (e11)) = (op1 (e13) (op1 (e11) (e13))))); [idtac | apply NNPP; zenon_intro zenon_Haa].
% 49.12/49.37 congruence.
% 49.12/49.37 apply (zenon_L34_); trivial.
% 49.12/49.37 apply zenon_Hb9. apply refl_equal.
% 49.12/49.37 apply zenon_Hb9. apply refl_equal.
% 49.12/49.37 apply zenon_Hb6. apply sym_equal. exact zenon_Haf.
% 49.12/49.37 (* end of lemma zenon_L35_ *)
% 49.12/49.37 assert (zenon_L36_ : (~((op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12))) = (op1 (e12) (e10)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (op1 (e12) (e12))) = (e12)) -> False).
% 49.12/49.37 do 0 intro. intros zenon_Hba zenon_H1f zenon_Hbb.
% 49.12/49.37 cut (((op1 (e12) (e12)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H21].
% 49.12/49.37 cut (((op1 (e12) (op1 (e12) (e12))) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Hbc].
% 49.12/49.37 congruence.
% 49.12/49.37 exact (zenon_Hbc zenon_Hbb).
% 49.12/49.37 apply zenon_H21. apply sym_equal. exact zenon_H1f.
% 49.12/49.37 (* end of lemma zenon_L36_ *)
% 49.12/49.37 assert (zenon_L37_ : (((op1 (e10) (op1 (e12) (e10))) = (e10))/\(((op1 (e11) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\((op1 (e13) (op1 (e12) (e13))) = (e13))))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e12) (e11)) = (e13)) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> False).
% 49.12/49.37 do 0 intro. intros zenon_Hbd zenon_H24 zenon_Hbe zenon_H1f zenon_H6c.
% 49.12/49.37 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Hc0. zenon_intro zenon_Hbf.
% 49.12/49.37 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_Hc2. zenon_intro zenon_Hc1.
% 49.12/49.37 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hbb. zenon_intro zenon_Hc3.
% 49.12/49.37 elim (classic ((op1 (e12) (e11)) = (op1 (e12) (e11)))); [ zenon_intro zenon_H6d | zenon_intro zenon_H6e ].
% 49.12/49.37 cut (((op1 (e12) (e11)) = (op1 (e12) (e11))) = ((op1 (e12) (e10)) = (op1 (e12) (e11)))).
% 49.12/49.37 intro zenon_D_pnotp.
% 49.12/49.37 apply zenon_H6c.
% 49.12/49.37 rewrite <- zenon_D_pnotp.
% 49.12/49.37 exact zenon_H6d.
% 49.12/49.37 cut (((op1 (e12) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H6e].
% 49.12/49.37 cut (((op1 (e12) (e11)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H6f].
% 49.12/49.37 congruence.
% 49.12/49.37 cut (((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) = ((op1 (e12) (e11)) = (op1 (e12) (e10)))).
% 49.12/49.37 intro zenon_D_pnotp.
% 49.12/49.37 apply zenon_H6f.
% 49.12/49.37 rewrite <- zenon_D_pnotp.
% 49.12/49.37 exact zenon_H24.
% 49.12/49.37 cut (((op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12))) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_Hba].
% 49.12/49.37 cut (((e13) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_Hc4].
% 49.12/49.37 congruence.
% 49.12/49.37 elim (classic ((op1 (e12) (e11)) = (op1 (e12) (e11)))); [ zenon_intro zenon_H6d | zenon_intro zenon_H6e ].
% 49.12/49.37 cut (((op1 (e12) (e11)) = (op1 (e12) (e11))) = ((e13) = (op1 (e12) (e11)))).
% 49.12/49.37 intro zenon_D_pnotp.
% 49.12/49.37 apply zenon_Hc4.
% 49.12/49.37 rewrite <- zenon_D_pnotp.
% 49.12/49.37 exact zenon_H6d.
% 49.12/49.37 cut (((op1 (e12) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H6e].
% 49.12/49.37 cut (((op1 (e12) (e11)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_Hc5].
% 49.12/49.37 congruence.
% 49.12/49.37 exact (zenon_Hc5 zenon_Hbe).
% 49.12/49.37 apply zenon_H6e. apply refl_equal.
% 49.12/49.37 apply zenon_H6e. apply refl_equal.
% 49.12/49.37 apply (zenon_L36_); trivial.
% 49.12/49.37 apply zenon_H6e. apply refl_equal.
% 49.12/49.37 apply zenon_H6e. apply refl_equal.
% 49.12/49.37 (* end of lemma zenon_L37_ *)
% 49.12/49.37 assert (zenon_L38_ : (((op1 (e10) (op1 (e13) (e10))) = (e10))/\(((op1 (e11) (op1 (e13) (e11))) = (e11))/\(((op1 (e12) (op1 (e13) (e12))) = (e12))/\((op1 (e13) (op1 (e13) (e13))) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e12)) = (e13)) -> ((op1 (e13) (e13)) = (e12)) -> False).
% 49.12/49.37 do 0 intro. intros zenon_Hc6 zenon_Hc7 zenon_Haf zenon_Hc8.
% 49.12/49.37 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hca. zenon_intro zenon_Hc9.
% 49.12/49.37 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hcc. zenon_intro zenon_Hcb.
% 49.12/49.37 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hce. zenon_intro zenon_Hcd.
% 49.12/49.37 cut (((op1 (e12) (op1 (e13) (e12))) = (e12)) = ((op1 (e12) (e13)) = (op1 (e13) (e13)))).
% 49.12/49.37 intro zenon_D_pnotp.
% 49.12/49.37 apply zenon_Hc7.
% 49.12/49.37 rewrite <- zenon_D_pnotp.
% 49.12/49.37 exact zenon_Hce.
% 49.12/49.37 cut (((e12) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hcf].
% 49.12/49.37 cut (((op1 (e12) (op1 (e13) (e12))) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hd0].
% 49.12/49.37 congruence.
% 49.12/49.37 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_Hd1 | zenon_intro zenon_Hd2 ].
% 49.12/49.37 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((op1 (e12) (op1 (e13) (e12))) = (op1 (e12) (e13)))).
% 49.12/49.37 intro zenon_D_pnotp.
% 49.12/49.37 apply zenon_Hd0.
% 49.12/49.37 rewrite <- zenon_D_pnotp.
% 49.12/49.37 exact zenon_Hd1.
% 49.12/49.37 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hd2].
% 49.12/49.37 cut (((op1 (e12) (e13)) = (op1 (e12) (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_Hd3].
% 49.12/49.37 congruence.
% 49.12/49.37 cut (((e13) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_Hb6].
% 49.12/49.37 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H48].
% 49.12/49.37 congruence.
% 49.12/49.37 apply zenon_H48. apply refl_equal.
% 49.12/49.37 apply zenon_Hb6. apply sym_equal. exact zenon_Haf.
% 49.12/49.37 apply zenon_Hd2. apply refl_equal.
% 49.12/49.37 apply zenon_Hd2. apply refl_equal.
% 49.12/49.37 apply zenon_Hcf. apply sym_equal. exact zenon_Hc8.
% 49.12/49.37 (* end of lemma zenon_L38_ *)
% 49.12/49.37 assert (zenon_L39_ : (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> ((op1 (e11) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e12)) = (e13)) -> ((op1 (e13) (e13)) = (e12)) -> False).
% 49.12/49.37 do 0 intro. intros zenon_H9e zenon_H8c zenon_Hab zenon_Hae zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_Hc7 zenon_Haf zenon_Hc8.
% 49.12/49.37 apply (zenon_or_s _ _ ax10); [ zenon_intro zenon_H9d | zenon_intro zenon_Hd4 ].
% 49.12/49.37 apply (zenon_L33_); trivial.
% 49.12/49.37 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Had | zenon_intro zenon_Hd5 ].
% 49.12/49.37 apply (zenon_L35_); trivial.
% 49.12/49.37 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hc6 ].
% 49.12/49.37 apply (zenon_L37_); trivial.
% 49.12/49.37 apply (zenon_L38_); trivial.
% 49.12/49.37 (* end of lemma zenon_L39_ *)
% 49.12/49.37 assert (zenon_L40_ : (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> ((op1 (e13) (e10)) = (e10)) -> (~((e11) = (e12))) -> ((op1 (e13) (e11)) = (e11)) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> ((op1 (e11) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e12)) = (e13)) -> False).
% 49.12/49.37 do 0 intro. intros zenon_Hd6 zenon_H76 zenon_H91 zenon_H96 zenon_H94 zenon_H9a zenon_H99 zenon_H9e zenon_H8c zenon_Hab zenon_Hae zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_Hc7 zenon_Haf.
% 49.12/49.37 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H92 | zenon_intro zenon_Hd7 ].
% 49.12/49.37 apply (zenon_L29_); trivial.
% 49.12/49.37 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H95 | zenon_intro zenon_Hd8 ].
% 49.12/49.37 apply (zenon_L30_); trivial.
% 49.12/49.37 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hc8 ].
% 49.12/49.37 apply (zenon_L31_); trivial.
% 49.12/49.37 apply (zenon_L39_); trivial.
% 49.12/49.37 (* end of lemma zenon_L40_ *)
% 49.12/49.37 assert (zenon_L41_ : (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((e11) = (e13))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> ((op1 (e13) (e10)) = (e10)) -> (~((e11) = (e12))) -> ((op1 (e13) (e11)) = (e11)) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> ((op1 (e11) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> False).
% 49.12/49.37 do 0 intro. intros zenon_Hd9 zenon_H58 zenon_H56 zenon_H82 zenon_H20 zenon_H8b zenon_Hd6 zenon_H76 zenon_H91 zenon_H96 zenon_H94 zenon_H9a zenon_H99 zenon_H9e zenon_H8c zenon_Hab zenon_Hae zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_Hc7.
% 49.12/49.37 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H57 | zenon_intro zenon_Hda ].
% 49.12/49.37 apply (zenon_L17_); trivial.
% 49.12/49.37 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H81 | zenon_intro zenon_Hdb ].
% 49.12/49.37 apply (zenon_L26_); trivial.
% 49.12/49.37 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H89 | zenon_intro zenon_Haf ].
% 49.12/49.37 apply (zenon_L28_); trivial.
% 49.12/49.37 apply (zenon_L40_); trivial.
% 49.12/49.37 (* end of lemma zenon_L41_ *)
% 49.12/49.37 assert (zenon_L42_ : ((op1 (e13) (e11)) = (e11)) -> ((op1 (e13) (e11)) = (e13)) -> (~((e11) = (e13))) -> False).
% 49.12/49.37 do 0 intro. intros zenon_H94 zenon_Hdc zenon_H58.
% 49.12/49.37 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H2e | zenon_intro zenon_H2f ].
% 49.12/49.37 cut (((e13) = (e13)) = ((e11) = (e13))).
% 49.12/49.37 intro zenon_D_pnotp.
% 49.12/49.37 apply zenon_H58.
% 49.12/49.37 rewrite <- zenon_D_pnotp.
% 49.12/49.37 exact zenon_H2e.
% 49.12/49.37 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2f].
% 49.12/49.37 cut (((e13) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H59].
% 49.12/49.37 congruence.
% 49.12/49.37 cut (((op1 (e13) (e11)) = (e11)) = ((e13) = (e11))).
% 49.12/49.37 intro zenon_D_pnotp.
% 49.12/49.37 apply zenon_H59.
% 49.12/49.37 rewrite <- zenon_D_pnotp.
% 49.12/49.37 exact zenon_H94.
% 49.12/49.37 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H51].
% 49.12/49.37 cut (((op1 (e13) (e11)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_Hdd].
% 49.12/49.37 congruence.
% 49.12/49.37 exact (zenon_Hdd zenon_Hdc).
% 49.12/49.37 apply zenon_H51. apply refl_equal.
% 49.12/49.37 apply zenon_H2f. apply refl_equal.
% 49.12/49.37 apply zenon_H2f. apply refl_equal.
% 49.12/49.37 (* end of lemma zenon_L42_ *)
% 49.12/49.37 assert (zenon_L43_ : ((op1 (e11) (e13)) = (e11)) -> ((op1 (e11) (e13)) = (e12)) -> (~((e11) = (e12))) -> False).
% 49.12/49.37 do 0 intro. intros zenon_Hab zenon_Hde zenon_H96.
% 49.12/49.37 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H77 | zenon_intro zenon_H48 ].
% 49.12/49.37 cut (((e12) = (e12)) = ((e11) = (e12))).
% 49.12/49.37 intro zenon_D_pnotp.
% 49.12/49.37 apply zenon_H96.
% 49.12/49.37 rewrite <- zenon_D_pnotp.
% 49.12/49.37 exact zenon_H77.
% 49.12/49.37 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H48].
% 49.12/49.37 cut (((e12) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H97].
% 49.12/49.37 congruence.
% 49.12/49.37 cut (((op1 (e11) (e13)) = (e11)) = ((e12) = (e11))).
% 49.12/49.37 intro zenon_D_pnotp.
% 49.12/49.37 apply zenon_H97.
% 49.12/49.37 rewrite <- zenon_D_pnotp.
% 49.12/49.37 exact zenon_Hab.
% 49.12/49.37 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H51].
% 49.12/49.37 cut (((op1 (e11) (e13)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Hdf].
% 49.12/49.37 congruence.
% 49.12/49.37 exact (zenon_Hdf zenon_Hde).
% 49.12/49.37 apply zenon_H51. apply refl_equal.
% 49.12/49.37 apply zenon_H48. apply refl_equal.
% 49.12/49.37 apply zenon_H48. apply refl_equal.
% 49.12/49.37 (* end of lemma zenon_L43_ *)
% 49.12/49.37 assert (zenon_L44_ : (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e11) (e12)) = (e10)) -> False).
% 49.12/49.37 do 0 intro. intros zenon_He0 zenon_H1f zenon_He1.
% 49.12/49.37 cut (((e10) = (op1 (e12) (e12))) = ((op1 (e11) (e12)) = (op1 (e12) (e12)))).
% 49.12/49.37 intro zenon_D_pnotp.
% 49.12/49.37 apply zenon_He0.
% 49.12/49.37 rewrite <- zenon_D_pnotp.
% 49.12/49.37 exact zenon_H1f.
% 49.12/49.37 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 49.12/49.37 cut (((e10) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_He2].
% 49.12/49.37 congruence.
% 49.12/49.37 elim (classic ((op1 (e11) (e12)) = (op1 (e11) (e12)))); [ zenon_intro zenon_H83 | zenon_intro zenon_H84 ].
% 49.12/49.37 cut (((op1 (e11) (e12)) = (op1 (e11) (e12))) = ((e10) = (op1 (e11) (e12)))).
% 49.12/49.37 intro zenon_D_pnotp.
% 49.12/49.37 apply zenon_He2.
% 49.12/49.37 rewrite <- zenon_D_pnotp.
% 49.12/49.37 exact zenon_H83.
% 49.12/49.37 cut (((op1 (e11) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H84].
% 49.12/49.37 cut (((op1 (e11) (e12)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_He3].
% 49.12/49.37 congruence.
% 49.12/49.37 exact (zenon_He3 zenon_He1).
% 49.12/49.37 apply zenon_H84. apply refl_equal.
% 49.12/49.37 apply zenon_H84. apply refl_equal.
% 49.12/49.37 apply zenon_H45. apply refl_equal.
% 49.12/49.37 (* end of lemma zenon_L44_ *)
% 49.12/49.37 assert (zenon_L45_ : ((op1 (e10) (e12)) = (e11)) -> ((op1 (e10) (e12)) = (e12)) -> (~((e11) = (e12))) -> False).
% 49.12/49.37 do 0 intro. intros zenon_H56 zenon_He4 zenon_H96.
% 49.12/49.37 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H77 | zenon_intro zenon_H48 ].
% 49.12/49.37 cut (((e12) = (e12)) = ((e11) = (e12))).
% 49.12/49.37 intro zenon_D_pnotp.
% 49.12/49.37 apply zenon_H96.
% 49.12/49.37 rewrite <- zenon_D_pnotp.
% 49.12/49.37 exact zenon_H77.
% 49.12/49.37 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H48].
% 49.12/49.37 cut (((e12) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H97].
% 49.12/49.37 congruence.
% 49.12/49.37 cut (((op1 (e10) (e12)) = (e11)) = ((e12) = (e11))).
% 49.12/49.37 intro zenon_D_pnotp.
% 49.12/49.37 apply zenon_H97.
% 49.12/49.37 rewrite <- zenon_D_pnotp.
% 49.12/49.37 exact zenon_H56.
% 49.12/49.37 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H51].
% 49.12/49.37 cut (((op1 (e10) (e12)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_He5].
% 49.12/49.37 congruence.
% 49.12/49.37 exact (zenon_He5 zenon_He4).
% 49.12/49.37 apply zenon_H51. apply refl_equal.
% 49.12/49.37 apply zenon_H48. apply refl_equal.
% 49.12/49.37 apply zenon_H48. apply refl_equal.
% 49.12/49.37 (* end of lemma zenon_L45_ *)
% 49.12/49.37 assert (zenon_L46_ : ((op1 (e10) (e13)) = (e11)) -> ((op1 (e10) (e13)) = (e13)) -> (~((e11) = (e13))) -> False).
% 49.12/49.37 do 0 intro. intros zenon_He6 zenon_H8c zenon_H58.
% 49.12/49.37 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H2e | zenon_intro zenon_H2f ].
% 49.12/49.37 cut (((e13) = (e13)) = ((e11) = (e13))).
% 49.12/49.37 intro zenon_D_pnotp.
% 49.12/49.37 apply zenon_H58.
% 49.12/49.37 rewrite <- zenon_D_pnotp.
% 49.12/49.37 exact zenon_H2e.
% 49.12/49.37 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2f].
% 49.12/49.37 cut (((e13) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H59].
% 49.12/49.37 congruence.
% 49.12/49.37 cut (((op1 (e10) (e13)) = (e11)) = ((e13) = (e11))).
% 49.12/49.37 intro zenon_D_pnotp.
% 49.12/49.37 apply zenon_H59.
% 49.12/49.37 rewrite <- zenon_D_pnotp.
% 49.12/49.37 exact zenon_He6.
% 49.12/49.37 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H51].
% 49.12/49.37 cut (((op1 (e10) (e13)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H90].
% 49.12/49.37 congruence.
% 49.12/49.37 exact (zenon_H90 zenon_H8c).
% 49.12/49.37 apply zenon_H51. apply refl_equal.
% 49.12/49.37 apply zenon_H2f. apply refl_equal.
% 49.12/49.37 apply zenon_H2f. apply refl_equal.
% 49.12/49.37 (* end of lemma zenon_L46_ *)
% 49.12/49.37 assert (zenon_L47_ : ((op1 (e11) (e13)) = (e10)) -> ((op1 (e11) (e13)) = (e11)) -> (~((e10) = (e11))) -> False).
% 49.12/49.37 do 0 intro. intros zenon_He7 zenon_Hab zenon_H4f.
% 49.12/49.37 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H50 | zenon_intro zenon_H51 ].
% 49.12/49.37 cut (((e11) = (e11)) = ((e10) = (e11))).
% 49.12/49.37 intro zenon_D_pnotp.
% 49.12/49.37 apply zenon_H4f.
% 49.12/49.37 rewrite <- zenon_D_pnotp.
% 49.12/49.37 exact zenon_H50.
% 49.12/49.37 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H51].
% 49.12/49.37 cut (((e11) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H52].
% 49.12/49.37 congruence.
% 49.12/49.37 cut (((op1 (e11) (e13)) = (e10)) = ((e11) = (e10))).
% 49.12/49.37 intro zenon_D_pnotp.
% 49.12/49.37 apply zenon_H52.
% 49.12/49.37 rewrite <- zenon_D_pnotp.
% 49.12/49.37 exact zenon_He7.
% 49.12/49.37 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H2a].
% 49.12/49.37 cut (((op1 (e11) (e13)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_He8].
% 49.12/49.37 congruence.
% 49.12/49.37 exact (zenon_He8 zenon_Hab).
% 49.12/49.37 apply zenon_H2a. apply refl_equal.
% 49.12/49.37 apply zenon_H51. apply refl_equal.
% 49.12/49.37 apply zenon_H51. apply refl_equal.
% 49.12/49.37 (* end of lemma zenon_L47_ *)
% 49.12/49.37 assert (zenon_L48_ : ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((op1 (e12) (e13)) = (e11)) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> False).
% 49.12/49.37 do 0 intro. intros zenon_H20 zenon_He9 zenon_H1f zenon_Hea.
% 49.12/49.37 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_Hd1 | zenon_intro zenon_Hd2 ].
% 49.12/49.37 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((op1 (e12) (e10)) = (op1 (e12) (e13)))).
% 49.12/49.37 intro zenon_D_pnotp.
% 49.12/49.37 apply zenon_Hea.
% 49.12/49.37 rewrite <- zenon_D_pnotp.
% 49.12/49.37 exact zenon_Hd1.
% 49.12/49.37 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hd2].
% 49.12/49.37 cut (((op1 (e12) (e13)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_Heb].
% 49.12/49.37 congruence.
% 49.12/49.37 cut (((e11) = (op1 (e12) (op1 (e12) (e12)))) = ((op1 (e12) (e13)) = (op1 (e12) (e10)))).
% 49.12/49.37 intro zenon_D_pnotp.
% 49.12/49.37 apply zenon_Heb.
% 49.12/49.37 rewrite <- zenon_D_pnotp.
% 49.12/49.37 exact zenon_H20.
% 49.12/49.37 cut (((op1 (e12) (op1 (e12) (e12))) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H49].
% 49.12/49.37 cut (((e11) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hec].
% 49.12/49.37 congruence.
% 49.12/49.37 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_Hd1 | zenon_intro zenon_Hd2 ].
% 49.12/49.37 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((e11) = (op1 (e12) (e13)))).
% 49.12/49.37 intro zenon_D_pnotp.
% 49.12/49.37 apply zenon_Hec.
% 49.12/49.37 rewrite <- zenon_D_pnotp.
% 49.12/49.37 exact zenon_Hd1.
% 49.12/49.37 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hd2].
% 49.12/49.37 cut (((op1 (e12) (e13)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_Hed].
% 49.12/49.37 congruence.
% 49.12/49.37 exact (zenon_Hed zenon_He9).
% 49.12/49.37 apply zenon_Hd2. apply refl_equal.
% 49.12/49.37 apply zenon_Hd2. apply refl_equal.
% 49.12/49.37 apply (zenon_L12_); trivial.
% 49.12/49.37 apply zenon_Hd2. apply refl_equal.
% 49.12/49.37 apply zenon_Hd2. apply refl_equal.
% 49.12/49.37 (* end of lemma zenon_L48_ *)
% 49.12/49.37 assert (zenon_L49_ : (((op1 (e10) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e12) (op1 (e11) (e12))) = (e12))/\((op1 (e13) (op1 (e11) (e13))) = (e13))))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> False).
% 49.12/49.37 do 0 intro. intros zenon_Had zenon_H9a zenon_He0.
% 49.12/49.37 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hb1. zenon_intro zenon_Hb0.
% 49.12/49.37 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Hb3. zenon_intro zenon_Hb2.
% 49.12/49.37 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_Hb5. zenon_intro zenon_Hb4.
% 49.12/49.37 elim (classic ((op1 (e12) (e12)) = (op1 (e12) (e12)))); [ zenon_intro zenon_Hee | zenon_intro zenon_H45 ].
% 49.12/49.37 cut (((op1 (e12) (e12)) = (op1 (e12) (e12))) = ((op1 (e11) (e12)) = (op1 (e12) (e12)))).
% 49.12/49.37 intro zenon_D_pnotp.
% 49.12/49.37 apply zenon_He0.
% 49.12/49.37 rewrite <- zenon_D_pnotp.
% 49.12/49.37 exact zenon_Hee.
% 49.12/49.37 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 49.12/49.37 cut (((op1 (e12) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_Hef].
% 49.12/49.37 congruence.
% 49.12/49.37 cut (((op1 (e12) (op1 (e11) (e12))) = (e12)) = ((op1 (e12) (e12)) = (op1 (e11) (e12)))).
% 49.12/49.37 intro zenon_D_pnotp.
% 49.12/49.37 apply zenon_Hef.
% 49.12/49.37 rewrite <- zenon_D_pnotp.
% 49.12/49.37 exact zenon_Hb5.
% 49.12/49.37 cut (((e12) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_Hf0].
% 49.12/49.37 cut (((op1 (e12) (op1 (e11) (e12))) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_Hf1].
% 49.12/49.37 congruence.
% 49.12/49.37 elim (classic ((op1 (e12) (e12)) = (op1 (e12) (e12)))); [ zenon_intro zenon_Hee | zenon_intro zenon_H45 ].
% 49.12/49.37 cut (((op1 (e12) (e12)) = (op1 (e12) (e12))) = ((op1 (e12) (op1 (e11) (e12))) = (op1 (e12) (e12)))).
% 49.12/49.37 intro zenon_D_pnotp.
% 49.12/49.37 apply zenon_Hf1.
% 49.12/49.37 rewrite <- zenon_D_pnotp.
% 49.12/49.37 exact zenon_Hee.
% 49.12/49.37 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 49.12/49.37 cut (((op1 (e12) (e12)) = (op1 (e12) (op1 (e11) (e12))))); [idtac | apply NNPP; zenon_intro zenon_Hf2].
% 49.12/49.37 congruence.
% 49.12/49.37 cut (((e12) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_Hf0].
% 49.12/49.37 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H48].
% 49.12/49.37 congruence.
% 49.12/49.37 apply zenon_H48. apply refl_equal.
% 49.12/49.37 apply zenon_Hf0. apply sym_equal. exact zenon_H9a.
% 49.12/49.37 apply zenon_H45. apply refl_equal.
% 49.12/49.37 apply zenon_H45. apply refl_equal.
% 49.12/49.37 apply zenon_Hf0. apply sym_equal. exact zenon_H9a.
% 49.12/49.37 apply zenon_H45. apply refl_equal.
% 49.12/49.37 apply zenon_H45. apply refl_equal.
% 49.12/49.37 (* end of lemma zenon_L49_ *)
% 49.12/49.37 assert (zenon_L50_ : (((op1 (e10) (op1 (e13) (e10))) = (e10))/\(((op1 (e11) (op1 (e13) (e11))) = (e11))/\(((op1 (e12) (op1 (e13) (e12))) = (e12))/\((op1 (e13) (op1 (e13) (e13))) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e13)) = (e11)) -> ((op1 (e13) (e12)) = (e13)) -> False).
% 49.12/49.37 do 0 intro. intros zenon_Hc6 zenon_Hae zenon_Hf3 zenon_Haf.
% 49.12/49.37 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hca. zenon_intro zenon_Hc9.
% 49.12/49.37 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hcc. zenon_intro zenon_Hcb.
% 49.12/49.37 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hce. zenon_intro zenon_Hcd.
% 49.12/49.37 cut (((op1 (e13) (op1 (e13) (e13))) = (e13)) = ((op1 (e13) (e11)) = (op1 (e13) (e12)))).
% 49.12/49.37 intro zenon_D_pnotp.
% 49.12/49.37 apply zenon_Hae.
% 49.12/49.37 rewrite <- zenon_D_pnotp.
% 49.12/49.37 exact zenon_Hcd.
% 49.12/49.37 cut (((e13) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_Hb6].
% 49.12/49.37 cut (((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_Hf4].
% 49.12/49.37 congruence.
% 49.12/49.37 elim (classic ((op1 (e13) (e11)) = (op1 (e13) (e11)))); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hb9 ].
% 49.12/49.37 cut (((op1 (e13) (e11)) = (op1 (e13) (e11))) = ((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e11)))).
% 49.12/49.37 intro zenon_D_pnotp.
% 49.12/49.37 apply zenon_Hf4.
% 49.12/49.37 rewrite <- zenon_D_pnotp.
% 49.12/49.37 exact zenon_Hb8.
% 49.12/49.37 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_Hb9].
% 49.12/49.37 cut (((op1 (e13) (e11)) = (op1 (e13) (op1 (e13) (e13))))); [idtac | apply NNPP; zenon_intro zenon_Hf5].
% 49.12/49.37 congruence.
% 49.12/49.37 cut (((e11) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hf6].
% 49.12/49.37 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2f].
% 49.12/49.37 congruence.
% 49.12/49.37 apply zenon_H2f. apply refl_equal.
% 49.12/49.37 apply zenon_Hf6. apply sym_equal. exact zenon_Hf3.
% 49.12/49.37 apply zenon_Hb9. apply refl_equal.
% 49.12/49.37 apply zenon_Hb9. apply refl_equal.
% 49.12/49.37 apply zenon_Hb6. apply sym_equal. exact zenon_Haf.
% 49.12/49.37 (* end of lemma zenon_L50_ *)
% 49.12/49.37 assert (zenon_L51_ : (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e13)) = (e11)) -> ((op1 (e13) (e12)) = (e13)) -> False).
% 49.12/49.37 do 0 intro. intros zenon_H9e zenon_H8c zenon_He0 zenon_H9a zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_Hae zenon_Hf3 zenon_Haf.
% 49.12/49.37 apply (zenon_or_s _ _ ax10); [ zenon_intro zenon_H9d | zenon_intro zenon_Hd4 ].
% 49.12/49.37 apply (zenon_L33_); trivial.
% 49.12/49.37 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Had | zenon_intro zenon_Hd5 ].
% 49.12/49.37 apply (zenon_L49_); trivial.
% 49.12/49.37 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hc6 ].
% 49.12/49.37 apply (zenon_L37_); trivial.
% 49.12/49.37 apply (zenon_L50_); trivial.
% 49.12/49.37 (* end of lemma zenon_L51_ *)
% 49.12/49.37 assert (zenon_L52_ : (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e11) = (e13))) -> (~((e10) = (e11))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e13)) -> False).
% 49.12/49.37 do 0 intro. intros zenon_Hf7 zenon_H58 zenon_H4f zenon_He7 zenon_Hea zenon_H20 zenon_H9e zenon_H8c zenon_He0 zenon_H9a zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_Hae zenon_Haf.
% 49.12/49.37 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He6 | zenon_intro zenon_Hf8 ].
% 49.12/49.37 apply (zenon_L46_); trivial.
% 49.12/49.37 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Hab | zenon_intro zenon_Hf9 ].
% 49.12/49.37 apply (zenon_L47_); trivial.
% 49.12/49.37 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_He9 | zenon_intro zenon_Hf3 ].
% 49.12/49.37 apply (zenon_L48_); trivial.
% 49.12/49.37 apply (zenon_L51_); trivial.
% 49.12/49.37 (* end of lemma zenon_L52_ *)
% 49.12/49.37 assert (zenon_L53_ : (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e11) = (e13))) -> (~((e10) = (e11))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False).
% 49.12/49.37 do 0 intro. intros zenon_Hd9 zenon_H56 zenon_H82 zenon_H8b zenon_Hf7 zenon_H58 zenon_H4f zenon_He7 zenon_Hea zenon_H20 zenon_H9e zenon_H8c zenon_He0 zenon_H9a zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_Hae.
% 49.12/49.37 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H57 | zenon_intro zenon_Hda ].
% 49.12/49.37 apply (zenon_L17_); trivial.
% 49.12/49.37 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H81 | zenon_intro zenon_Hdb ].
% 49.12/49.37 apply (zenon_L26_); trivial.
% 49.12/49.37 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H89 | zenon_intro zenon_Haf ].
% 49.12/49.37 apply (zenon_L28_); trivial.
% 49.12/49.38 apply (zenon_L52_); trivial.
% 49.12/49.38 (* end of lemma zenon_L53_ *)
% 49.12/49.38 assert (zenon_L54_ : (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> ((op1 (e12) (e13)) = (e13)) -> False).
% 49.12/49.38 do 0 intro. intros zenon_Hfa zenon_H8c zenon_Hfb.
% 49.12/49.38 cut (((op1 (e10) (e13)) = (e13)) = ((op1 (e10) (e13)) = (op1 (e12) (e13)))).
% 49.12/49.38 intro zenon_D_pnotp.
% 49.12/49.38 apply zenon_Hfa.
% 49.12/49.38 rewrite <- zenon_D_pnotp.
% 49.12/49.38 exact zenon_H8c.
% 49.12/49.38 cut (((e13) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hfc].
% 49.12/49.38 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H8f].
% 49.12/49.38 congruence.
% 49.12/49.38 apply zenon_H8f. apply refl_equal.
% 49.12/49.38 apply zenon_Hfc. apply sym_equal. exact zenon_Hfb.
% 49.12/49.38 (* end of lemma zenon_L54_ *)
% 49.12/49.38 assert (zenon_L55_ : (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((e10) = (e11))) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> False).
% 49.12/49.38 do 0 intro. intros zenon_Hfd zenon_H33 zenon_Hae zenon_H1f zenon_H6c zenon_H9a zenon_He0 zenon_H9e zenon_Hea zenon_He7 zenon_H4f zenon_H58 zenon_Hf7 zenon_H82 zenon_H56 zenon_Hd9 zenon_H20 zenon_H24 zenon_H8b zenon_Hfa zenon_H8c.
% 49.12/49.38 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hfe ].
% 49.12/49.38 apply (zenon_L7_); trivial.
% 49.12/49.38 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hff ].
% 49.12/49.38 apply (zenon_L53_); trivial.
% 49.12/49.38 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H89 | zenon_intro zenon_Hfb ].
% 49.12/49.38 apply (zenon_L28_); trivial.
% 49.12/49.38 apply (zenon_L54_); trivial.
% 49.12/49.38 (* end of lemma zenon_L55_ *)
% 49.12/49.38 assert (zenon_L56_ : (~((op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12))) = (op1 (e11) (e12)))) -> ((op1 (e12) (e12)) = (e12)) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> False).
% 49.12/49.38 do 0 intro. intros zenon_H100 zenon_H101 zenon_H20.
% 49.12/49.38 cut (((op1 (e12) (e12)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H102].
% 49.12/49.38 cut (((op1 (e12) (op1 (e12) (e12))) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H22].
% 49.12/49.38 congruence.
% 49.12/49.38 apply zenon_H22. apply sym_equal. exact zenon_H20.
% 49.12/49.38 exact (zenon_H102 zenon_H101).
% 49.12/49.38 (* end of lemma zenon_L56_ *)
% 49.12/49.38 assert (zenon_L57_ : (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> ((op1 (e12) (e12)) = (e12)) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> False).
% 49.12/49.38 do 0 intro. intros zenon_H63 zenon_H24 zenon_H57 zenon_H101 zenon_H20.
% 49.12/49.38 cut (((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) = ((op1 (e10) (e12)) = (op1 (e11) (e12)))).
% 49.12/49.38 intro zenon_D_pnotp.
% 49.12/49.38 apply zenon_H63.
% 49.12/49.38 rewrite <- zenon_D_pnotp.
% 49.12/49.38 exact zenon_H24.
% 49.12/49.38 cut (((op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12))) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H100].
% 49.12/49.38 cut (((e13) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H103].
% 49.12/49.38 congruence.
% 49.12/49.38 elim (classic ((op1 (e10) (e12)) = (op1 (e10) (e12)))); [ zenon_intro zenon_H68 | zenon_intro zenon_H66 ].
% 49.12/49.38 cut (((op1 (e10) (e12)) = (op1 (e10) (e12))) = ((e13) = (op1 (e10) (e12)))).
% 49.12/49.38 intro zenon_D_pnotp.
% 49.12/49.38 apply zenon_H103.
% 49.12/49.38 rewrite <- zenon_D_pnotp.
% 49.12/49.38 exact zenon_H68.
% 49.12/49.38 cut (((op1 (e10) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H66].
% 49.12/49.38 cut (((op1 (e10) (e12)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H5a].
% 49.12/49.38 congruence.
% 49.12/49.38 exact (zenon_H5a zenon_H57).
% 49.12/49.38 apply zenon_H66. apply refl_equal.
% 49.12/49.38 apply zenon_H66. apply refl_equal.
% 49.12/49.38 apply (zenon_L56_); trivial.
% 49.12/49.38 (* end of lemma zenon_L57_ *)
% 49.12/49.38 assert (zenon_L58_ : ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e13) (e12)) = (e13)) -> ((op1 (e12) (e12)) = (e12)) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> False).
% 49.12/49.38 do 0 intro. intros zenon_H24 zenon_Haf zenon_H101 zenon_H20 zenon_H99.
% 49.12/49.38 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H104 | zenon_intro zenon_H105 ].
% 49.12/49.38 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((op1 (e11) (e12)) = (op1 (e13) (e12)))).
% 49.12/49.38 intro zenon_D_pnotp.
% 49.12/49.38 apply zenon_H99.
% 49.12/49.38 rewrite <- zenon_D_pnotp.
% 49.12/49.38 exact zenon_H104.
% 49.12/49.38 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H105].
% 49.12/49.38 cut (((op1 (e13) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H106].
% 49.12/49.38 congruence.
% 49.12/49.38 cut (((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) = ((op1 (e13) (e12)) = (op1 (e11) (e12)))).
% 49.12/49.38 intro zenon_D_pnotp.
% 49.12/49.38 apply zenon_H106.
% 49.12/49.38 rewrite <- zenon_D_pnotp.
% 49.12/49.38 exact zenon_H24.
% 49.12/49.38 cut (((op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12))) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H100].
% 49.12/49.38 cut (((e13) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_Hb6].
% 49.12/49.38 congruence.
% 49.12/49.38 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H104 | zenon_intro zenon_H105 ].
% 49.12/49.38 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((e13) = (op1 (e13) (e12)))).
% 49.12/49.38 intro zenon_D_pnotp.
% 49.12/49.38 apply zenon_Hb6.
% 49.12/49.38 rewrite <- zenon_D_pnotp.
% 49.12/49.38 exact zenon_H104.
% 49.12/49.38 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H105].
% 49.12/49.38 cut (((op1 (e13) (e12)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H107].
% 49.12/49.38 congruence.
% 49.12/49.38 exact (zenon_H107 zenon_Haf).
% 49.12/49.38 apply zenon_H105. apply refl_equal.
% 49.12/49.38 apply zenon_H105. apply refl_equal.
% 49.12/49.38 apply (zenon_L56_); trivial.
% 49.12/49.38 apply zenon_H105. apply refl_equal.
% 49.12/49.38 apply zenon_H105. apply refl_equal.
% 49.12/49.38 (* end of lemma zenon_L58_ *)
% 49.12/49.38 assert (zenon_L59_ : (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e12) (e12)) = (e12)) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> False).
% 49.12/49.38 do 0 intro. intros zenon_Hd9 zenon_H63 zenon_H82 zenon_H1f zenon_H8c zenon_H8b zenon_H24 zenon_H101 zenon_H20 zenon_H99.
% 49.12/49.38 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H57 | zenon_intro zenon_Hda ].
% 49.12/49.38 apply (zenon_L57_); trivial.
% 49.12/49.38 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H81 | zenon_intro zenon_Hdb ].
% 49.12/49.38 apply (zenon_L26_); trivial.
% 49.12/49.38 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H89 | zenon_intro zenon_Haf ].
% 49.12/49.38 apply (zenon_L28_); trivial.
% 49.12/49.38 apply (zenon_L58_); trivial.
% 49.12/49.38 (* end of lemma zenon_L59_ *)
% 49.12/49.38 assert (zenon_L60_ : (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e13) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> False).
% 49.12/49.38 do 0 intro. intros zenon_H108 zenon_He0 zenon_H56 zenon_H63 zenon_H9b zenon_H99 zenon_H24 zenon_H1f zenon_H20 zenon_H82.
% 49.12/49.38 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_He1 | zenon_intro zenon_H109 ].
% 49.12/49.38 apply (zenon_L44_); trivial.
% 49.12/49.38 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H64 | zenon_intro zenon_H10a ].
% 49.12/49.38 apply (zenon_L20_); trivial.
% 49.12/49.38 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_H9a | zenon_intro zenon_H81 ].
% 49.12/49.38 apply (zenon_L31_); trivial.
% 49.12/49.38 apply (zenon_L26_); trivial.
% 49.12/49.38 (* end of lemma zenon_L60_ *)
% 49.12/49.38 assert (zenon_L61_ : (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e11) = (e13))) -> (~((e10) = (e11))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (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)) = (e13)) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> False).
% 49.12/49.38 do 0 intro. intros zenon_H10b zenon_H96 zenon_Hfa zenon_Hf7 zenon_H58 zenon_H4f zenon_He7 zenon_Hea zenon_H9e zenon_H6c zenon_Hae zenon_H33 zenon_Hfd zenon_H8b zenon_H8c zenon_Hd9 zenon_H108 zenon_He0 zenon_H56 zenon_H63 zenon_H99 zenon_H24 zenon_H1f zenon_H20 zenon_H82.
% 49.12/49.38 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_He4 | zenon_intro zenon_H10c ].
% 49.12/49.38 apply (zenon_L45_); trivial.
% 49.12/49.38 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H9a | zenon_intro zenon_H10d ].
% 49.12/49.38 apply (zenon_L55_); trivial.
% 49.12/49.38 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H101 | zenon_intro zenon_H9b ].
% 49.12/49.38 apply (zenon_L59_); trivial.
% 49.12/49.38 apply (zenon_L60_); trivial.
% 49.12/49.38 (* end of lemma zenon_L61_ *)
% 49.12/49.38 assert (zenon_L62_ : ((op1 (e10) (e11)) = (e10)) -> ((op1 (e10) (e11)) = (e12)) -> (~((e10) = (e12))) -> False).
% 49.12/49.38 do 0 intro. intros zenon_H17 zenon_H10e zenon_H76.
% 49.12/49.38 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H77 | zenon_intro zenon_H48 ].
% 49.12/49.38 cut (((e12) = (e12)) = ((e10) = (e12))).
% 49.12/49.38 intro zenon_D_pnotp.
% 49.12/49.38 apply zenon_H76.
% 49.12/49.38 rewrite <- zenon_D_pnotp.
% 49.12/49.38 exact zenon_H77.
% 49.12/49.38 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H48].
% 49.12/49.38 cut (((e12) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H78].
% 49.12/49.38 congruence.
% 49.12/49.38 cut (((op1 (e10) (e11)) = (e10)) = ((e12) = (e10))).
% 49.12/49.38 intro zenon_D_pnotp.
% 49.12/49.38 apply zenon_H78.
% 49.12/49.38 rewrite <- zenon_D_pnotp.
% 49.12/49.38 exact zenon_H17.
% 49.12/49.38 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H2a].
% 49.12/49.38 cut (((op1 (e10) (e11)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H10f].
% 49.12/49.38 congruence.
% 49.12/49.38 exact (zenon_H10f zenon_H10e).
% 49.12/49.38 apply zenon_H2a. apply refl_equal.
% 49.12/49.38 apply zenon_H48. apply refl_equal.
% 49.12/49.38 apply zenon_H48. apply refl_equal.
% 49.12/49.38 (* end of lemma zenon_L62_ *)
% 49.12/49.38 assert (zenon_L63_ : ((op1 (e10) (e13)) = (e12)) -> ((op1 (e10) (e13)) = (e13)) -> (~((e12) = (e13))) -> False).
% 49.12/49.38 do 0 intro. intros zenon_H110 zenon_H8c zenon_H111.
% 49.12/49.38 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H2e | zenon_intro zenon_H2f ].
% 49.12/49.38 cut (((e13) = (e13)) = ((e12) = (e13))).
% 49.12/49.38 intro zenon_D_pnotp.
% 49.12/49.38 apply zenon_H111.
% 49.12/49.38 rewrite <- zenon_D_pnotp.
% 49.12/49.38 exact zenon_H2e.
% 49.12/49.38 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2f].
% 49.12/49.38 cut (((e13) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H112].
% 49.12/49.38 congruence.
% 49.12/49.38 cut (((op1 (e10) (e13)) = (e12)) = ((e13) = (e12))).
% 49.12/49.38 intro zenon_D_pnotp.
% 49.12/49.38 apply zenon_H112.
% 49.12/49.38 rewrite <- zenon_D_pnotp.
% 49.12/49.38 exact zenon_H110.
% 49.12/49.38 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H48].
% 49.12/49.38 cut (((op1 (e10) (e13)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H90].
% 49.12/49.38 congruence.
% 49.12/49.38 exact (zenon_H90 zenon_H8c).
% 49.12/49.38 apply zenon_H48. apply refl_equal.
% 49.12/49.38 apply zenon_H2f. apply refl_equal.
% 49.12/49.38 apply zenon_H2f. apply refl_equal.
% 49.12/49.38 (* end of lemma zenon_L63_ *)
% 49.12/49.38 assert (zenon_L64_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((e10) = (e13))) -> ((op1 (e10) (e11)) = (e10)) -> (~((e11) = (e13))) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (e10) (e13)) = (e12)) -> (~((e12) = (e13))) -> False).
% 49.12/49.38 do 0 intro. intros zenon_H113 zenon_H20 zenon_H1f zenon_H24 zenon_H23 zenon_H2d zenon_H17 zenon_H58 zenon_H56 zenon_H110 zenon_H111.
% 49.12/49.38 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H25 | zenon_intro zenon_H114 ].
% 49.12/49.38 apply (zenon_L4_); trivial.
% 49.12/49.38 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H54 | zenon_intro zenon_H115 ].
% 49.12/49.38 apply (zenon_L15_); trivial.
% 49.12/49.38 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H57 | zenon_intro zenon_H8c ].
% 49.12/49.38 apply (zenon_L17_); trivial.
% 49.12/49.38 apply (zenon_L63_); trivial.
% 49.12/49.38 (* end of lemma zenon_L64_ *)
% 49.12/49.38 assert (zenon_L65_ : ((e10) = (op1 (e12) (e12))) -> ((op1 (e13) (e12)) = (e10)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> False).
% 49.12/49.38 do 0 intro. intros zenon_H1f zenon_H116 zenon_H117.
% 49.12/49.38 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H104 | zenon_intro zenon_H105 ].
% 49.12/49.38 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((op1 (e12) (e12)) = (op1 (e13) (e12)))).
% 49.12/49.38 intro zenon_D_pnotp.
% 49.12/49.38 apply zenon_H117.
% 49.12/49.38 rewrite <- zenon_D_pnotp.
% 49.12/49.38 exact zenon_H104.
% 49.12/49.38 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H105].
% 49.12/49.38 cut (((op1 (e13) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H118].
% 49.12/49.38 congruence.
% 49.12/49.38 cut (((e10) = (op1 (e12) (e12))) = ((op1 (e13) (e12)) = (op1 (e12) (e12)))).
% 49.12/49.38 intro zenon_D_pnotp.
% 49.12/49.38 apply zenon_H118.
% 49.12/49.38 rewrite <- zenon_D_pnotp.
% 49.12/49.38 exact zenon_H1f.
% 49.12/49.38 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 49.12/49.38 cut (((e10) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H119].
% 49.12/49.38 congruence.
% 49.12/49.38 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H104 | zenon_intro zenon_H105 ].
% 49.12/49.38 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((e10) = (op1 (e13) (e12)))).
% 49.12/49.38 intro zenon_D_pnotp.
% 49.12/49.38 apply zenon_H119.
% 49.12/49.38 rewrite <- zenon_D_pnotp.
% 49.12/49.38 exact zenon_H104.
% 49.12/49.38 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H105].
% 49.12/49.38 cut (((op1 (e13) (e12)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H11a].
% 49.12/49.38 congruence.
% 49.12/49.38 exact (zenon_H11a zenon_H116).
% 49.12/49.38 apply zenon_H105. apply refl_equal.
% 49.12/49.38 apply zenon_H105. apply refl_equal.
% 49.12/49.38 apply zenon_H45. apply refl_equal.
% 49.12/49.38 apply zenon_H105. apply refl_equal.
% 49.12/49.38 apply zenon_H105. apply refl_equal.
% 49.12/49.38 (* end of lemma zenon_L65_ *)
% 49.12/49.38 assert (zenon_L66_ : (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e11)) -> ((op1 (e13) (e12)) = (e11)) -> False).
% 49.12/49.38 do 0 intro. intros zenon_H99 zenon_H64 zenon_H11b.
% 49.12/49.38 cut (((op1 (e11) (e12)) = (e11)) = ((op1 (e11) (e12)) = (op1 (e13) (e12)))).
% 49.12/49.38 intro zenon_D_pnotp.
% 49.12/49.38 apply zenon_H99.
% 49.12/49.38 rewrite <- zenon_D_pnotp.
% 49.12/49.38 exact zenon_H64.
% 49.12/49.38 cut (((e11) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H11c].
% 49.12/49.38 cut (((op1 (e11) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H84].
% 49.12/49.38 congruence.
% 49.12/49.38 apply zenon_H84. apply refl_equal.
% 49.12/49.38 apply zenon_H11c. apply sym_equal. exact zenon_H11b.
% 49.12/49.38 (* end of lemma zenon_L66_ *)
% 49.12/49.38 assert (zenon_L67_ : (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> ((op1 (e13) (e12)) = (e13)) -> False).
% 49.12/49.38 do 0 intro. intros zenon_H11d zenon_H57 zenon_Haf.
% 49.12/49.38 cut (((op1 (e10) (e12)) = (e13)) = ((op1 (e10) (e12)) = (op1 (e13) (e12)))).
% 49.12/49.38 intro zenon_D_pnotp.
% 49.12/49.38 apply zenon_H11d.
% 49.12/49.38 rewrite <- zenon_D_pnotp.
% 49.12/49.38 exact zenon_H57.
% 49.12/49.38 cut (((e13) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_Hb6].
% 49.12/49.38 cut (((op1 (e10) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H66].
% 49.12/49.38 congruence.
% 49.12/49.38 apply zenon_H66. apply refl_equal.
% 49.12/49.38 apply zenon_Hb6. apply sym_equal. exact zenon_Haf.
% 49.12/49.38 (* end of lemma zenon_L67_ *)
% 49.12/49.38 assert (zenon_L68_ : (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e11) (e12)) = (e11)) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> False).
% 49.12/49.38 do 0 intro. intros zenon_H11e zenon_H117 zenon_H1f zenon_H64 zenon_H9a zenon_H99 zenon_H11d zenon_H57.
% 49.12/49.38 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H116 | zenon_intro zenon_H11f ].
% 49.12/49.38 apply (zenon_L65_); trivial.
% 49.12/49.38 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H11b | zenon_intro zenon_H120 ].
% 49.12/49.38 apply (zenon_L66_); trivial.
% 49.12/49.38 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_H9b | zenon_intro zenon_Haf ].
% 49.12/49.38 apply (zenon_L31_); trivial.
% 49.12/49.38 apply (zenon_L67_); trivial.
% 49.12/49.38 (* end of lemma zenon_L68_ *)
% 49.12/49.38 assert (zenon_L69_ : ((op1 (e10) (e12)) = (e12)) -> ((op1 (e10) (e12)) = (e13)) -> (~((e12) = (e13))) -> False).
% 49.12/49.38 do 0 intro. intros zenon_He4 zenon_H57 zenon_H111.
% 49.12/49.38 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H2e | zenon_intro zenon_H2f ].
% 49.12/49.38 cut (((e13) = (e13)) = ((e12) = (e13))).
% 49.12/49.38 intro zenon_D_pnotp.
% 49.12/49.38 apply zenon_H111.
% 49.12/49.38 rewrite <- zenon_D_pnotp.
% 49.12/49.38 exact zenon_H2e.
% 49.12/49.38 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2f].
% 49.12/49.38 cut (((e13) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H112].
% 49.12/49.38 congruence.
% 49.12/49.38 cut (((op1 (e10) (e12)) = (e12)) = ((e13) = (e12))).
% 49.12/49.38 intro zenon_D_pnotp.
% 49.12/49.38 apply zenon_H112.
% 49.12/49.38 rewrite <- zenon_D_pnotp.
% 49.12/49.38 exact zenon_He4.
% 49.12/49.38 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H48].
% 49.12/49.38 cut (((op1 (e10) (e12)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H5a].
% 49.12/49.38 congruence.
% 49.12/49.38 exact (zenon_H5a zenon_H57).
% 49.12/49.38 apply zenon_H48. apply refl_equal.
% 49.12/49.38 apply zenon_H2f. apply refl_equal.
% 49.12/49.38 apply zenon_H2f. apply refl_equal.
% 49.12/49.38 (* end of lemma zenon_L69_ *)
% 49.12/49.38 assert (zenon_L70_ : ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((op1 (e13) (e10)) = (e11)) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> False).
% 49.12/49.38 do 0 intro. intros zenon_H20 zenon_H121 zenon_H1f zenon_H122.
% 49.12/49.38 elim (classic ((op1 (e13) (e10)) = (op1 (e13) (e10)))); [ zenon_intro zenon_H3b | zenon_intro zenon_H3c ].
% 49.12/49.38 cut (((op1 (e13) (e10)) = (op1 (e13) (e10))) = ((op1 (e12) (e10)) = (op1 (e13) (e10)))).
% 49.12/49.38 intro zenon_D_pnotp.
% 49.12/49.38 apply zenon_H122.
% 49.12/49.38 rewrite <- zenon_D_pnotp.
% 49.12/49.38 exact zenon_H3b.
% 49.12/49.38 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H3c].
% 49.12/49.38 cut (((op1 (e13) (e10)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H123].
% 49.12/49.38 congruence.
% 49.12/49.38 cut (((e11) = (op1 (e12) (op1 (e12) (e12)))) = ((op1 (e13) (e10)) = (op1 (e12) (e10)))).
% 49.12/49.38 intro zenon_D_pnotp.
% 49.12/49.38 apply zenon_H123.
% 49.12/49.38 rewrite <- zenon_D_pnotp.
% 49.12/49.38 exact zenon_H20.
% 49.12/49.38 cut (((op1 (e12) (op1 (e12) (e12))) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H49].
% 49.12/49.38 cut (((e11) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H124].
% 49.12/49.38 congruence.
% 49.12/49.38 elim (classic ((op1 (e13) (e10)) = (op1 (e13) (e10)))); [ zenon_intro zenon_H3b | zenon_intro zenon_H3c ].
% 49.12/49.38 cut (((op1 (e13) (e10)) = (op1 (e13) (e10))) = ((e11) = (op1 (e13) (e10)))).
% 49.12/49.38 intro zenon_D_pnotp.
% 49.12/49.38 apply zenon_H124.
% 49.12/49.38 rewrite <- zenon_D_pnotp.
% 49.12/49.38 exact zenon_H3b.
% 49.12/49.38 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H3c].
% 49.12/49.38 cut (((op1 (e13) (e10)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H125].
% 49.12/49.38 congruence.
% 49.12/49.38 exact (zenon_H125 zenon_H121).
% 49.12/49.38 apply zenon_H3c. apply refl_equal.
% 49.12/49.38 apply zenon_H3c. apply refl_equal.
% 49.12/49.38 apply (zenon_L12_); trivial.
% 49.12/49.38 apply zenon_H3c. apply refl_equal.
% 49.12/49.38 apply zenon_H3c. apply refl_equal.
% 49.12/49.38 (* end of lemma zenon_L70_ *)
% 49.12/49.38 assert (zenon_L71_ : (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e11)) -> ((op1 (e13) (e13)) = (e11)) -> False).
% 49.12/49.38 do 0 intro. intros zenon_H9e zenon_He6 zenon_Hf3.
% 49.12/49.38 cut (((op1 (e10) (e13)) = (e11)) = ((op1 (e10) (e13)) = (op1 (e13) (e13)))).
% 49.12/49.38 intro zenon_D_pnotp.
% 49.12/49.38 apply zenon_H9e.
% 49.12/49.38 rewrite <- zenon_D_pnotp.
% 49.12/49.38 exact zenon_He6.
% 49.12/49.38 cut (((e11) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hf6].
% 49.12/49.38 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H8f].
% 49.12/49.38 congruence.
% 49.12/49.38 apply zenon_H8f. apply refl_equal.
% 49.12/49.38 apply zenon_Hf6. apply sym_equal. exact zenon_Hf3.
% 49.12/49.38 (* end of lemma zenon_L71_ *)
% 49.12/49.38 assert (zenon_L72_ : (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> ((op1 (e13) (e11)) = (e13)) -> ((op1 (e11) (e12)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e11)) -> False).
% 49.12/49.38 do 0 intro. intros zenon_H126 zenon_H122 zenon_H1f zenon_H20 zenon_H58 zenon_Hdc zenon_H64 zenon_H99 zenon_H9e zenon_He6.
% 49.12/49.38 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H121 | zenon_intro zenon_H127 ].
% 49.12/49.38 apply (zenon_L70_); trivial.
% 49.12/49.38 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H94 | zenon_intro zenon_H128 ].
% 49.12/49.38 apply (zenon_L42_); trivial.
% 49.12/49.38 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H11b | zenon_intro zenon_Hf3 ].
% 49.12/49.38 apply (zenon_L66_); trivial.
% 49.12/49.38 apply (zenon_L71_); trivial.
% 49.12/49.38 (* end of lemma zenon_L72_ *)
% 49.12/49.38 assert (zenon_L73_ : (~((op1 (e13) (e11)) = (op1 (e13) (op1 (e10) (e13))))) -> ((op1 (e10) (e13)) = (e11)) -> False).
% 49.12/49.38 do 0 intro. intros zenon_H129 zenon_He6.
% 49.12/49.38 cut (((e11) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H12a].
% 49.12/49.38 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2f].
% 49.12/49.38 congruence.
% 49.12/49.38 apply zenon_H2f. apply refl_equal.
% 49.12/49.38 apply zenon_H12a. apply sym_equal. exact zenon_He6.
% 49.12/49.38 (* end of lemma zenon_L73_ *)
% 49.12/49.38 assert (zenon_L74_ : (((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e11) (op1 (e10) (e11))) = (e11))/\(((op1 (e12) (op1 (e10) (e12))) = (e12))/\((op1 (e13) (op1 (e10) (e13))) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e11)) -> ((op1 (e13) (e13)) = (e13)) -> False).
% 49.12/49.38 do 0 intro. intros zenon_H9d zenon_H12b zenon_He6 zenon_H12c.
% 49.12/49.38 apply (zenon_and_s _ _ zenon_H9d). zenon_intro zenon_Ha0. zenon_intro zenon_H9f.
% 49.12/49.38 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_Ha2. zenon_intro zenon_Ha1.
% 49.12/49.38 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_Ha4. zenon_intro zenon_Ha3.
% 49.12/49.38 cut (((op1 (e13) (op1 (e10) (e13))) = (e13)) = ((op1 (e13) (e11)) = (op1 (e13) (e13)))).
% 49.12/49.38 intro zenon_D_pnotp.
% 49.12/49.38 apply zenon_H12b.
% 49.12/49.38 rewrite <- zenon_D_pnotp.
% 49.12/49.38 exact zenon_Ha3.
% 49.12/49.38 cut (((e13) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H12d].
% 49.12/49.38 cut (((op1 (e13) (op1 (e10) (e13))) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H12e].
% 49.12/49.38 congruence.
% 49.12/49.38 elim (classic ((op1 (e13) (e11)) = (op1 (e13) (e11)))); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hb9 ].
% 49.12/49.38 cut (((op1 (e13) (e11)) = (op1 (e13) (e11))) = ((op1 (e13) (op1 (e10) (e13))) = (op1 (e13) (e11)))).
% 49.12/49.38 intro zenon_D_pnotp.
% 49.12/49.38 apply zenon_H12e.
% 49.12/49.38 rewrite <- zenon_D_pnotp.
% 49.12/49.38 exact zenon_Hb8.
% 49.12/49.38 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_Hb9].
% 49.12/49.38 cut (((op1 (e13) (e11)) = (op1 (e13) (op1 (e10) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H129].
% 49.12/49.38 congruence.
% 49.12/49.38 apply (zenon_L73_); trivial.
% 49.12/49.38 apply zenon_Hb9. apply refl_equal.
% 49.12/49.38 apply zenon_Hb9. apply refl_equal.
% 49.12/49.38 apply zenon_H12d. apply sym_equal. exact zenon_H12c.
% 49.12/49.38 (* end of lemma zenon_L74_ *)
% 49.12/49.38 assert (zenon_L75_ : (((op1 (e10) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e12) (op1 (e11) (e12))) = (e12))/\((op1 (e13) (op1 (e11) (e13))) = (e13))))) -> ((op1 (e11) (e13)) = (e12)) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> False).
% 49.12/49.38 do 0 intro. intros zenon_Had zenon_Hde zenon_H57 zenon_H11d.
% 49.12/49.38 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hb1. zenon_intro zenon_Hb0.
% 49.12/49.38 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Hb3. zenon_intro zenon_Hb2.
% 49.12/49.38 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_Hb5. zenon_intro zenon_Hb4.
% 49.12/49.38 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H104 | zenon_intro zenon_H105 ].
% 49.12/49.38 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((op1 (e10) (e12)) = (op1 (e13) (e12)))).
% 49.12/49.38 intro zenon_D_pnotp.
% 49.12/49.38 apply zenon_H11d.
% 49.12/49.38 rewrite <- zenon_D_pnotp.
% 49.12/49.38 exact zenon_H104.
% 49.12/49.38 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H105].
% 49.12/49.38 cut (((op1 (e13) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H12f].
% 49.12/49.38 congruence.
% 49.12/49.38 cut (((op1 (e13) (op1 (e11) (e13))) = (e13)) = ((op1 (e13) (e12)) = (op1 (e10) (e12)))).
% 49.12/49.38 intro zenon_D_pnotp.
% 49.12/49.38 apply zenon_H12f.
% 49.12/49.38 rewrite <- zenon_D_pnotp.
% 49.12/49.38 exact zenon_Hb4.
% 49.12/49.38 cut (((e13) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H103].
% 49.12/49.38 cut (((op1 (e13) (op1 (e11) (e13))) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H130].
% 49.12/49.38 congruence.
% 49.12/49.38 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H104 | zenon_intro zenon_H105 ].
% 49.12/49.38 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((op1 (e13) (op1 (e11) (e13))) = (op1 (e13) (e12)))).
% 49.12/49.38 intro zenon_D_pnotp.
% 49.12/49.38 apply zenon_H130.
% 49.12/49.38 rewrite <- zenon_D_pnotp.
% 49.12/49.38 exact zenon_H104.
% 49.12/49.38 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H105].
% 49.12/49.38 cut (((op1 (e13) (e12)) = (op1 (e13) (op1 (e11) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H131].
% 49.12/49.38 congruence.
% 49.12/49.38 cut (((e12) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H132].
% 49.12/49.38 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2f].
% 49.12/49.38 congruence.
% 49.12/49.38 apply zenon_H2f. apply refl_equal.
% 49.12/49.38 apply zenon_H132. apply sym_equal. exact zenon_Hde.
% 49.12/49.38 apply zenon_H105. apply refl_equal.
% 49.12/49.38 apply zenon_H105. apply refl_equal.
% 49.12/49.38 apply zenon_H103. apply sym_equal. exact zenon_H57.
% 49.12/49.38 apply zenon_H105. apply refl_equal.
% 49.12/49.38 apply zenon_H105. apply refl_equal.
% 49.12/49.38 (* end of lemma zenon_L75_ *)
% 49.12/49.38 assert (zenon_L76_ : (((op1 (e10) (op1 (e13) (e10))) = (e10))/\(((op1 (e11) (op1 (e13) (e11))) = (e11))/\(((op1 (e12) (op1 (e13) (e12))) = (e12))/\((op1 (e13) (op1 (e13) (e13))) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e12)) -> False).
% 49.12/49.38 do 0 intro. intros zenon_Hc6 zenon_H117 zenon_H9b.
% 49.12/49.38 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hca. zenon_intro zenon_Hc9.
% 49.12/49.38 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hcc. zenon_intro zenon_Hcb.
% 49.12/49.38 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hce. zenon_intro zenon_Hcd.
% 49.12/49.38 cut (((op1 (e12) (op1 (e13) (e12))) = (e12)) = ((op1 (e12) (e12)) = (op1 (e13) (e12)))).
% 49.12/49.38 intro zenon_D_pnotp.
% 49.12/49.38 apply zenon_H117.
% 49.12/49.38 rewrite <- zenon_D_pnotp.
% 49.12/49.38 exact zenon_Hce.
% 49.12/49.38 cut (((e12) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H9c].
% 49.12/49.38 cut (((op1 (e12) (op1 (e13) (e12))) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H133].
% 49.12/49.38 congruence.
% 49.12/49.38 elim (classic ((op1 (e12) (e12)) = (op1 (e12) (e12)))); [ zenon_intro zenon_Hee | zenon_intro zenon_H45 ].
% 49.12/49.38 cut (((op1 (e12) (e12)) = (op1 (e12) (e12))) = ((op1 (e12) (op1 (e13) (e12))) = (op1 (e12) (e12)))).
% 49.12/49.38 intro zenon_D_pnotp.
% 49.12/49.38 apply zenon_H133.
% 49.12/49.38 rewrite <- zenon_D_pnotp.
% 49.12/49.38 exact zenon_Hee.
% 49.12/49.38 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 49.12/49.38 cut (((op1 (e12) (e12)) = (op1 (e12) (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H134].
% 49.12/49.38 congruence.
% 49.12/49.38 cut (((e12) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H9c].
% 49.12/49.38 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H48].
% 49.12/49.38 congruence.
% 49.12/49.38 apply zenon_H48. apply refl_equal.
% 49.12/49.38 apply zenon_H9c. apply sym_equal. exact zenon_H9b.
% 49.12/49.38 apply zenon_H45. apply refl_equal.
% 49.12/49.38 apply zenon_H45. apply refl_equal.
% 49.12/49.38 apply zenon_H9c. apply sym_equal. exact zenon_H9b.
% 49.12/49.38 (* end of lemma zenon_L76_ *)
% 49.12/49.38 assert (zenon_L77_ : ((op1 (e13) (e13)) = (e13)) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e12)) -> False).
% 49.12/49.38 do 0 intro. intros zenon_H12c zenon_He6 zenon_H12b zenon_H11d zenon_H57 zenon_Hde zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_H117 zenon_H9b.
% 49.12/49.38 apply (zenon_or_s _ _ ax10); [ zenon_intro zenon_H9d | zenon_intro zenon_Hd4 ].
% 49.12/49.38 apply (zenon_L74_); trivial.
% 49.12/49.38 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Had | zenon_intro zenon_Hd5 ].
% 49.12/49.38 apply (zenon_L75_); trivial.
% 49.12/49.38 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hc6 ].
% 49.12/49.38 apply (zenon_L37_); trivial.
% 49.12/49.38 apply (zenon_L76_); trivial.
% 49.12/49.38 (* end of lemma zenon_L77_ *)
% 49.12/49.38 assert (zenon_L78_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e11)) -> (~((e11) = (e13))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e12)) -> False).
% 49.12/49.38 do 0 intro. intros zenon_H135 zenon_H3a zenon_H9e zenon_H99 zenon_H64 zenon_H58 zenon_H20 zenon_H122 zenon_H126 zenon_He6 zenon_H12b zenon_H11d zenon_H57 zenon_Hde zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_H117 zenon_H9b.
% 49.12/49.38 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H39 | zenon_intro zenon_H136 ].
% 49.12/49.38 apply (zenon_L8_); trivial.
% 49.12/49.38 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hdc | zenon_intro zenon_H137 ].
% 49.12/49.38 apply (zenon_L72_); trivial.
% 49.12/49.38 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Haf | zenon_intro zenon_H12c ].
% 49.12/49.38 apply (zenon_L67_); trivial.
% 49.12/49.38 apply (zenon_L77_); trivial.
% 49.12/49.38 (* end of lemma zenon_L78_ *)
% 49.12/49.38 assert (zenon_L79_ : (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((e12) = (e13))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e11)) -> (~((e11) = (e13))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> False).
% 49.12/49.38 do 0 intro. intros zenon_H10b zenon_H111 zenon_H11e zenon_H63 zenon_H135 zenon_H3a zenon_H9e zenon_H99 zenon_H64 zenon_H58 zenon_H20 zenon_H122 zenon_H126 zenon_He6 zenon_H12b zenon_H11d zenon_H57 zenon_Hde zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_H117.
% 49.12/49.38 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_He4 | zenon_intro zenon_H10c ].
% 49.12/49.38 apply (zenon_L69_); trivial.
% 49.12/49.38 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H9a | zenon_intro zenon_H10d ].
% 49.12/49.38 apply (zenon_L68_); trivial.
% 49.12/49.38 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H101 | zenon_intro zenon_H9b ].
% 49.12/49.38 apply (zenon_L57_); trivial.
% 49.12/49.38 apply (zenon_L78_); trivial.
% 49.12/49.38 (* end of lemma zenon_L79_ *)
% 49.12/49.38 assert (zenon_L80_ : (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e13)) = (e11)) -> ((op1 (e11) (e13)) = (e11)) -> False).
% 49.12/49.38 do 0 intro. intros zenon_H8b zenon_He6 zenon_Hab.
% 49.12/49.38 cut (((op1 (e10) (e13)) = (e11)) = ((op1 (e10) (e13)) = (op1 (e11) (e13)))).
% 49.12/49.38 intro zenon_D_pnotp.
% 49.12/49.38 apply zenon_H8b.
% 49.12/49.38 rewrite <- zenon_D_pnotp.
% 49.12/49.38 exact zenon_He6.
% 49.12/49.38 cut (((e11) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hac].
% 49.12/49.38 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H8f].
% 49.12/49.38 congruence.
% 49.12/49.38 apply zenon_H8f. apply refl_equal.
% 49.12/49.38 apply zenon_Hac. apply sym_equal. exact zenon_Hab.
% 49.12/49.38 (* end of lemma zenon_L80_ *)
% 49.12/49.38 assert (zenon_L81_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((e10) = (e13))) -> ((op1 (e10) (e11)) = (e10)) -> (~((e12) = (e13))) -> ((op1 (e10) (e12)) = (e12)) -> ((op1 (e10) (e13)) = (e11)) -> (~((e11) = (e13))) -> False).
% 49.12/49.38 do 0 intro. intros zenon_H113 zenon_H20 zenon_H1f zenon_H24 zenon_H23 zenon_H2d zenon_H17 zenon_H111 zenon_He4 zenon_He6 zenon_H58.
% 49.12/49.38 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H25 | zenon_intro zenon_H114 ].
% 49.12/49.38 apply (zenon_L4_); trivial.
% 49.12/49.38 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H54 | zenon_intro zenon_H115 ].
% 49.12/49.38 apply (zenon_L15_); trivial.
% 49.12/49.38 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H57 | zenon_intro zenon_H8c ].
% 49.12/49.38 apply (zenon_L69_); trivial.
% 49.12/49.38 apply (zenon_L46_); trivial.
% 49.12/49.38 (* end of lemma zenon_L81_ *)
% 49.12/49.38 assert (zenon_L82_ : (~((op1 (e13) (e10)) = (op1 (e13) (op1 (e11) (e13))))) -> ((op1 (e11) (e13)) = (e10)) -> False).
% 49.12/49.38 do 0 intro. intros zenon_H138 zenon_He7.
% 49.12/49.38 cut (((e10) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H139].
% 49.12/49.38 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2f].
% 49.12/49.38 congruence.
% 49.12/49.38 apply zenon_H2f. apply refl_equal.
% 49.12/49.38 apply zenon_H139. apply sym_equal. exact zenon_He7.
% 49.12/49.38 (* end of lemma zenon_L82_ *)
% 49.12/49.38 assert (zenon_L83_ : (((op1 (e10) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e12) (op1 (e11) (e12))) = (e12))/\((op1 (e13) (op1 (e11) (e13))) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> ((op1 (e13) (e13)) = (e13)) -> False).
% 49.12/49.38 do 0 intro. intros zenon_Had zenon_H13a zenon_He7 zenon_H12c.
% 49.12/49.38 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hb1. zenon_intro zenon_Hb0.
% 49.12/49.38 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Hb3. zenon_intro zenon_Hb2.
% 49.12/49.38 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_Hb5. zenon_intro zenon_Hb4.
% 49.12/49.38 cut (((op1 (e13) (op1 (e11) (e13))) = (e13)) = ((op1 (e13) (e10)) = (op1 (e13) (e13)))).
% 49.12/49.38 intro zenon_D_pnotp.
% 49.12/49.38 apply zenon_H13a.
% 49.12/49.38 rewrite <- zenon_D_pnotp.
% 49.12/49.38 exact zenon_Hb4.
% 49.12/49.38 cut (((e13) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H12d].
% 49.12/49.38 cut (((op1 (e13) (op1 (e11) (e13))) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H13b].
% 49.12/49.38 congruence.
% 49.12/49.38 elim (classic ((op1 (e13) (e10)) = (op1 (e13) (e10)))); [ zenon_intro zenon_H3b | zenon_intro zenon_H3c ].
% 49.12/49.38 cut (((op1 (e13) (e10)) = (op1 (e13) (e10))) = ((op1 (e13) (op1 (e11) (e13))) = (op1 (e13) (e10)))).
% 49.12/49.38 intro zenon_D_pnotp.
% 49.12/49.38 apply zenon_H13b.
% 49.12/49.38 rewrite <- zenon_D_pnotp.
% 49.12/49.38 exact zenon_H3b.
% 49.12/49.38 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H3c].
% 49.12/49.38 cut (((op1 (e13) (e10)) = (op1 (e13) (op1 (e11) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H138].
% 49.12/49.38 congruence.
% 49.12/49.38 apply (zenon_L82_); trivial.
% 49.12/49.38 apply zenon_H3c. apply refl_equal.
% 49.12/49.38 apply zenon_H3c. apply refl_equal.
% 49.12/49.38 apply zenon_H12d. apply sym_equal. exact zenon_H12c.
% 49.12/49.38 (* end of lemma zenon_L83_ *)
% 49.12/49.38 assert (zenon_L84_ : ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e13)) = (e13)) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e12)) -> False).
% 49.12/49.38 do 0 intro. intros zenon_He6 zenon_H12b zenon_H12c zenon_He7 zenon_H13a zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_H117 zenon_H9b.
% 49.12/49.38 apply (zenon_or_s _ _ ax10); [ zenon_intro zenon_H9d | zenon_intro zenon_Hd4 ].
% 49.12/49.38 apply (zenon_L74_); trivial.
% 49.12/49.38 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Had | zenon_intro zenon_Hd5 ].
% 49.12/49.38 apply (zenon_L83_); trivial.
% 49.12/49.38 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hc6 ].
% 49.12/49.38 apply (zenon_L37_); trivial.
% 49.12/49.38 apply (zenon_L76_); trivial.
% 49.12/49.38 (* end of lemma zenon_L84_ *)
% 49.12/49.38 assert (zenon_L85_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> ((op1 (e13) (e11)) = (e11)) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e12)) -> False).
% 49.12/49.38 do 0 intro. intros zenon_H135 zenon_H3a zenon_H20 zenon_H58 zenon_H94 zenon_H57 zenon_H11d zenon_He6 zenon_H12b zenon_He7 zenon_H13a zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_H117 zenon_H9b.
% 49.12/49.38 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H39 | zenon_intro zenon_H136 ].
% 49.12/49.38 apply (zenon_L8_); trivial.
% 49.12/49.38 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hdc | zenon_intro zenon_H137 ].
% 49.12/49.38 apply (zenon_L42_); trivial.
% 49.12/49.38 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Haf | zenon_intro zenon_H12c ].
% 49.12/49.38 apply (zenon_L67_); trivial.
% 49.12/49.38 apply (zenon_L84_); trivial.
% 49.12/49.38 (* end of lemma zenon_L85_ *)
% 49.12/49.38 assert (zenon_L86_ : (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((e12) = (e13))) -> ((op1 (e10) (e11)) = (e10)) -> (~((e10) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e12) (e11)) = (e13)) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> (~((e11) = (e13))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e11) (e12)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e11)) -> False).
% 49.12/49.38 do 0 intro. intros zenon_H10b zenon_H111 zenon_H17 zenon_H2d zenon_H23 zenon_H113 zenon_H11e zenon_H63 zenon_H126 zenon_H122 zenon_H117 zenon_H24 zenon_Hbe zenon_H1f zenon_H6c zenon_H13a zenon_He7 zenon_H12b zenon_H11d zenon_H57 zenon_H58 zenon_H20 zenon_H3a zenon_H135 zenon_H64 zenon_H99 zenon_H9e zenon_He6.
% 49.12/49.38 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_He4 | zenon_intro zenon_H10c ].
% 49.12/49.38 apply (zenon_L81_); trivial.
% 49.12/49.38 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H9a | zenon_intro zenon_H10d ].
% 49.12/49.38 apply (zenon_L68_); trivial.
% 49.12/49.38 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H101 | zenon_intro zenon_H9b ].
% 49.12/49.38 apply (zenon_L57_); trivial.
% 49.12/49.38 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H121 | zenon_intro zenon_H127 ].
% 49.12/49.38 apply (zenon_L70_); trivial.
% 49.12/49.38 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H94 | zenon_intro zenon_H128 ].
% 49.12/49.38 apply (zenon_L85_); trivial.
% 49.12/49.38 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H11b | zenon_intro zenon_Hf3 ].
% 49.12/49.38 apply (zenon_L66_); trivial.
% 49.12/49.38 apply (zenon_L71_); trivial.
% 49.12/49.38 (* end of lemma zenon_L86_ *)
% 49.12/49.38 assert (zenon_L87_ : (~((op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12))) = (op1 (e11) (e11)))) -> ((op1 (e12) (e12)) = (e11)) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> False).
% 49.12/49.38 do 0 intro. intros zenon_H13c zenon_H13d zenon_H20.
% 49.12/49.38 cut (((op1 (e12) (e12)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H13e].
% 49.12/49.38 cut (((op1 (e12) (op1 (e12) (e12))) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H22].
% 49.12/49.38 congruence.
% 49.12/49.38 apply zenon_H22. apply sym_equal. exact zenon_H20.
% 49.12/49.38 exact (zenon_H13e zenon_H13d).
% 49.12/49.38 (* end of lemma zenon_L87_ *)
% 49.12/49.38 assert (zenon_L88_ : ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e12) (e11)) = (e13)) -> ((op1 (e12) (e12)) = (e11)) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> False).
% 49.12/49.38 do 0 intro. intros zenon_H24 zenon_Hbe zenon_H13d zenon_H20 zenon_H13f.
% 49.12/49.38 elim (classic ((op1 (e12) (e11)) = (op1 (e12) (e11)))); [ zenon_intro zenon_H6d | zenon_intro zenon_H6e ].
% 49.12/49.38 cut (((op1 (e12) (e11)) = (op1 (e12) (e11))) = ((op1 (e11) (e11)) = (op1 (e12) (e11)))).
% 49.12/49.38 intro zenon_D_pnotp.
% 49.12/49.38 apply zenon_H13f.
% 49.12/49.38 rewrite <- zenon_D_pnotp.
% 49.12/49.38 exact zenon_H6d.
% 49.12/49.38 cut (((op1 (e12) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H6e].
% 49.12/49.38 cut (((op1 (e12) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H140].
% 49.12/49.38 congruence.
% 49.12/49.38 cut (((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) = ((op1 (e12) (e11)) = (op1 (e11) (e11)))).
% 49.12/49.38 intro zenon_D_pnotp.
% 49.12/49.38 apply zenon_H140.
% 49.12/49.38 rewrite <- zenon_D_pnotp.
% 49.12/49.38 exact zenon_H24.
% 49.12/49.38 cut (((op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12))) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H13c].
% 49.12/49.38 cut (((e13) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_Hc4].
% 49.12/49.38 congruence.
% 49.12/49.38 elim (classic ((op1 (e12) (e11)) = (op1 (e12) (e11)))); [ zenon_intro zenon_H6d | zenon_intro zenon_H6e ].
% 49.12/49.38 cut (((op1 (e12) (e11)) = (op1 (e12) (e11))) = ((e13) = (op1 (e12) (e11)))).
% 49.12/49.38 intro zenon_D_pnotp.
% 49.12/49.38 apply zenon_Hc4.
% 49.12/49.38 rewrite <- zenon_D_pnotp.
% 49.12/49.38 exact zenon_H6d.
% 49.12/49.38 cut (((op1 (e12) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H6e].
% 49.12/49.38 cut (((op1 (e12) (e11)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_Hc5].
% 49.12/49.38 congruence.
% 49.12/49.38 exact (zenon_Hc5 zenon_Hbe).
% 49.12/49.38 apply zenon_H6e. apply refl_equal.
% 49.12/49.38 apply zenon_H6e. apply refl_equal.
% 49.12/49.38 apply (zenon_L87_); trivial.
% 49.12/49.38 apply zenon_H6e. apply refl_equal.
% 49.12/49.38 apply zenon_H6e. apply refl_equal.
% 49.12/49.38 (* end of lemma zenon_L88_ *)
% 49.12/49.38 assert (zenon_L89_ : ((op1 (e13) (e11)) = (e12)) -> ((op1 (e13) (e11)) = (e13)) -> (~((e12) = (e13))) -> False).
% 49.12/49.38 do 0 intro. intros zenon_H95 zenon_Hdc zenon_H111.
% 49.12/49.38 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H2e | zenon_intro zenon_H2f ].
% 49.12/49.38 cut (((e13) = (e13)) = ((e12) = (e13))).
% 49.12/49.38 intro zenon_D_pnotp.
% 49.12/49.38 apply zenon_H111.
% 49.12/49.38 rewrite <- zenon_D_pnotp.
% 49.12/49.38 exact zenon_H2e.
% 49.12/49.38 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2f].
% 49.12/49.38 cut (((e13) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H112].
% 49.12/49.38 congruence.
% 49.12/49.38 cut (((op1 (e13) (e11)) = (e12)) = ((e13) = (e12))).
% 49.12/49.38 intro zenon_D_pnotp.
% 49.12/49.38 apply zenon_H112.
% 49.12/49.38 rewrite <- zenon_D_pnotp.
% 49.12/49.38 exact zenon_H95.
% 49.12/49.38 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H48].
% 49.12/49.38 cut (((op1 (e13) (e11)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_Hdd].
% 49.12/49.38 congruence.
% 49.12/49.38 exact (zenon_Hdd zenon_Hdc).
% 49.12/49.38 apply zenon_H48. apply refl_equal.
% 49.12/49.38 apply zenon_H2f. apply refl_equal.
% 49.12/49.38 apply zenon_H2f. apply refl_equal.
% 49.12/49.38 (* end of lemma zenon_L89_ *)
% 49.12/49.38 assert (zenon_L90_ : (~((op1 (e12) (e11)) = (op1 (e12) (op1 (e13) (e12))))) -> ((op1 (e13) (e12)) = (e11)) -> False).
% 49.12/49.38 do 0 intro. intros zenon_H141 zenon_H11b.
% 49.12/49.38 cut (((e11) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H11c].
% 49.12/49.38 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H48].
% 49.12/49.38 congruence.
% 49.12/49.38 apply zenon_H48. apply refl_equal.
% 49.12/49.38 apply zenon_H11c. apply sym_equal. exact zenon_H11b.
% 49.12/49.38 (* end of lemma zenon_L90_ *)
% 49.12/49.38 assert (zenon_L91_ : (((op1 (e10) (op1 (e13) (e10))) = (e10))/\(((op1 (e11) (op1 (e13) (e11))) = (e11))/\(((op1 (e12) (op1 (e13) (e12))) = (e12))/\((op1 (e13) (op1 (e13) (e13))) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e12)) = (e11)) -> ((op1 (e13) (e11)) = (e12)) -> False).
% 49.12/49.38 do 0 intro. intros zenon_Hc6 zenon_H142 zenon_H11b zenon_H95.
% 49.12/49.38 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hca. zenon_intro zenon_Hc9.
% 49.12/49.38 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hcc. zenon_intro zenon_Hcb.
% 49.12/49.38 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hce. zenon_intro zenon_Hcd.
% 49.12/49.38 cut (((op1 (e12) (op1 (e13) (e12))) = (e12)) = ((op1 (e12) (e11)) = (op1 (e13) (e11)))).
% 49.12/49.38 intro zenon_D_pnotp.
% 49.12/49.38 apply zenon_H142.
% 49.12/49.38 rewrite <- zenon_D_pnotp.
% 49.12/49.38 exact zenon_Hce.
% 49.12/49.38 cut (((e12) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H143].
% 49.12/49.38 cut (((op1 (e12) (op1 (e13) (e12))) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H144].
% 49.12/49.38 congruence.
% 49.12/49.38 elim (classic ((op1 (e12) (e11)) = (op1 (e12) (e11)))); [ zenon_intro zenon_H6d | zenon_intro zenon_H6e ].
% 49.12/49.38 cut (((op1 (e12) (e11)) = (op1 (e12) (e11))) = ((op1 (e12) (op1 (e13) (e12))) = (op1 (e12) (e11)))).
% 49.12/49.38 intro zenon_D_pnotp.
% 49.12/49.38 apply zenon_H144.
% 49.12/49.38 rewrite <- zenon_D_pnotp.
% 49.12/49.38 exact zenon_H6d.
% 49.12/49.38 cut (((op1 (e12) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H6e].
% 49.12/49.38 cut (((op1 (e12) (e11)) = (op1 (e12) (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H141].
% 49.12/49.38 congruence.
% 49.12/49.38 apply (zenon_L90_); trivial.
% 49.12/49.38 apply zenon_H6e. apply refl_equal.
% 49.12/49.38 apply zenon_H6e. apply refl_equal.
% 49.12/49.38 apply zenon_H143. apply sym_equal. exact zenon_H95.
% 49.12/49.38 (* end of lemma zenon_L91_ *)
% 49.12/49.38 assert (zenon_L92_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((e12) = (e13))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e12)) = (e11)) -> ((op1 (e13) (e11)) = (e12)) -> False).
% 49.12/49.38 do 0 intro. intros zenon_H135 zenon_H3a zenon_H20 zenon_H111 zenon_H57 zenon_H11d zenon_He6 zenon_H12b zenon_He7 zenon_H13a zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_H142 zenon_H11b zenon_H95.
% 49.12/49.38 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H39 | zenon_intro zenon_H136 ].
% 49.12/49.38 apply (zenon_L8_); trivial.
% 49.12/49.38 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hdc | zenon_intro zenon_H137 ].
% 49.12/49.38 apply (zenon_L89_); trivial.
% 49.12/49.38 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Haf | zenon_intro zenon_H12c ].
% 49.12/49.38 apply (zenon_L67_); trivial.
% 49.12/49.38 apply (zenon_or_s _ _ ax10); [ zenon_intro zenon_H9d | zenon_intro zenon_Hd4 ].
% 49.12/49.38 apply (zenon_L74_); trivial.
% 49.12/49.38 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Had | zenon_intro zenon_Hd5 ].
% 49.12/49.38 apply (zenon_L83_); trivial.
% 49.12/49.38 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hc6 ].
% 49.12/49.38 apply (zenon_L37_); trivial.
% 49.12/49.38 apply (zenon_L91_); trivial.
% 49.12/49.38 (* end of lemma zenon_L92_ *)
% 49.12/49.38 assert (zenon_L93_ : ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e11) (e13)) = (e13)) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> False).
% 49.12/49.38 do 0 intro. intros zenon_H24 zenon_H145 zenon_H1f zenon_H20 zenon_H146.
% 49.12/49.38 elim (classic ((op1 (e11) (e13)) = (op1 (e11) (e13)))); [ zenon_intro zenon_H147 | zenon_intro zenon_H148 ].
% 49.12/49.38 cut (((op1 (e11) (e13)) = (op1 (e11) (e13))) = ((op1 (e11) (e10)) = (op1 (e11) (e13)))).
% 49.12/49.38 intro zenon_D_pnotp.
% 49.12/49.38 apply zenon_H146.
% 49.12/49.38 rewrite <- zenon_D_pnotp.
% 49.12/49.38 exact zenon_H147.
% 49.12/49.38 cut (((op1 (e11) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H148].
% 49.12/49.38 cut (((op1 (e11) (e13)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H149].
% 49.12/49.38 congruence.
% 49.12/49.38 cut (((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) = ((op1 (e11) (e13)) = (op1 (e11) (e10)))).
% 49.12/49.38 intro zenon_D_pnotp.
% 49.12/49.38 apply zenon_H149.
% 49.12/49.38 rewrite <- zenon_D_pnotp.
% 49.12/49.38 exact zenon_H24.
% 49.12/49.38 cut (((op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12))) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1e].
% 49.12/49.38 cut (((e13) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H14a].
% 49.12/49.38 congruence.
% 49.12/49.38 elim (classic ((op1 (e11) (e13)) = (op1 (e11) (e13)))); [ zenon_intro zenon_H147 | zenon_intro zenon_H148 ].
% 49.12/49.38 cut (((op1 (e11) (e13)) = (op1 (e11) (e13))) = ((e13) = (op1 (e11) (e13)))).
% 49.12/49.38 intro zenon_D_pnotp.
% 49.12/49.38 apply zenon_H14a.
% 49.12/49.38 rewrite <- zenon_D_pnotp.
% 49.12/49.38 exact zenon_H147.
% 49.12/49.38 cut (((op1 (e11) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H148].
% 49.12/49.38 cut (((op1 (e11) (e13)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H14b].
% 49.12/49.38 congruence.
% 49.12/49.38 exact (zenon_H14b zenon_H145).
% 49.12/49.38 apply zenon_H148. apply refl_equal.
% 49.12/49.38 apply zenon_H148. apply refl_equal.
% 49.12/49.38 apply (zenon_L3_); trivial.
% 49.12/49.38 apply zenon_H148. apply refl_equal.
% 49.12/49.38 apply zenon_H148. apply refl_equal.
% 49.12/49.38 (* end of lemma zenon_L93_ *)
% 49.12/49.38 assert (zenon_L94_ : (((op1 (e10) (op1 (e12) (e10))) = (e10))/\(((op1 (e11) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\((op1 (e13) (op1 (e12) (e13))) = (e13))))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e12) (e13)) = (e13)) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> False).
% 49.12/49.38 do 0 intro. intros zenon_Hbd zenon_H24 zenon_Hfb zenon_H1f zenon_Hea.
% 49.12/49.38 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Hc0. zenon_intro zenon_Hbf.
% 49.12/49.38 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_Hc2. zenon_intro zenon_Hc1.
% 49.12/49.38 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hbb. zenon_intro zenon_Hc3.
% 49.12/49.38 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_Hd1 | zenon_intro zenon_Hd2 ].
% 49.12/49.38 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((op1 (e12) (e10)) = (op1 (e12) (e13)))).
% 49.12/49.38 intro zenon_D_pnotp.
% 49.12/49.38 apply zenon_Hea.
% 49.12/49.38 rewrite <- zenon_D_pnotp.
% 49.12/49.38 exact zenon_Hd1.
% 49.12/49.38 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hd2].
% 49.12/49.38 cut (((op1 (e12) (e13)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_Heb].
% 49.12/49.38 congruence.
% 49.12/49.38 cut (((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) = ((op1 (e12) (e13)) = (op1 (e12) (e10)))).
% 49.12/49.38 intro zenon_D_pnotp.
% 49.12/49.38 apply zenon_Heb.
% 49.12/49.38 rewrite <- zenon_D_pnotp.
% 49.12/49.38 exact zenon_H24.
% 49.12/49.38 cut (((op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12))) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_Hba].
% 49.12/49.38 cut (((e13) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hfc].
% 49.12/49.38 congruence.
% 49.12/49.38 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_Hd1 | zenon_intro zenon_Hd2 ].
% 49.12/49.38 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((e13) = (op1 (e12) (e13)))).
% 49.12/49.38 intro zenon_D_pnotp.
% 49.12/49.38 apply zenon_Hfc.
% 49.12/49.38 rewrite <- zenon_D_pnotp.
% 49.12/49.38 exact zenon_Hd1.
% 49.12/49.38 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hd2].
% 49.12/49.38 cut (((op1 (e12) (e13)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H14c].
% 49.12/49.38 congruence.
% 49.12/49.38 exact (zenon_H14c zenon_Hfb).
% 49.12/49.38 apply zenon_Hd2. apply refl_equal.
% 49.12/49.38 apply zenon_Hd2. apply refl_equal.
% 49.12/49.38 apply (zenon_L36_); trivial.
% 49.12/49.38 apply zenon_Hd2. apply refl_equal.
% 49.12/49.38 apply zenon_Hd2. apply refl_equal.
% 49.12/49.38 (* end of lemma zenon_L94_ *)
% 49.12/49.38 assert (zenon_L95_ : (((op1 (e10) (op1 (e13) (e10))) = (e10))/\(((op1 (e11) (op1 (e13) (e11))) = (e11))/\(((op1 (e12) (op1 (e13) (e12))) = (e12))/\((op1 (e13) (op1 (e13) (e13))) = (e13))))) -> ((op1 (e13) (e13)) = (e12)) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> False).
% 49.12/49.38 do 0 intro. intros zenon_Hc6 zenon_Hc8 zenon_H57 zenon_H11d.
% 49.12/49.38 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hca. zenon_intro zenon_Hc9.
% 49.12/49.38 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hcc. zenon_intro zenon_Hcb.
% 49.12/49.38 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hce. zenon_intro zenon_Hcd.
% 49.12/49.38 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H104 | zenon_intro zenon_H105 ].
% 49.12/49.38 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((op1 (e10) (e12)) = (op1 (e13) (e12)))).
% 49.12/49.38 intro zenon_D_pnotp.
% 49.12/49.38 apply zenon_H11d.
% 49.12/49.38 rewrite <- zenon_D_pnotp.
% 49.12/49.38 exact zenon_H104.
% 49.12/49.38 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H105].
% 49.12/49.38 cut (((op1 (e13) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H12f].
% 49.12/49.38 congruence.
% 49.12/49.38 cut (((op1 (e13) (op1 (e13) (e13))) = (e13)) = ((op1 (e13) (e12)) = (op1 (e10) (e12)))).
% 49.12/49.38 intro zenon_D_pnotp.
% 49.12/49.38 apply zenon_H12f.
% 49.12/49.38 rewrite <- zenon_D_pnotp.
% 49.12/49.38 exact zenon_Hcd.
% 49.12/49.38 cut (((e13) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H103].
% 49.12/49.38 cut (((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H14d].
% 49.12/49.38 congruence.
% 49.12/49.38 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H104 | zenon_intro zenon_H105 ].
% 49.12/49.38 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e12)))).
% 49.12/49.38 intro zenon_D_pnotp.
% 49.12/49.38 apply zenon_H14d.
% 49.12/49.38 rewrite <- zenon_D_pnotp.
% 49.12/49.38 exact zenon_H104.
% 49.12/49.38 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H105].
% 49.12/49.38 cut (((op1 (e13) (e12)) = (op1 (e13) (op1 (e13) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H14e].
% 49.12/49.38 congruence.
% 49.12/49.38 cut (((e12) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hcf].
% 49.12/49.38 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2f].
% 49.12/49.38 congruence.
% 49.12/49.38 apply zenon_H2f. apply refl_equal.
% 49.12/49.38 apply zenon_Hcf. apply sym_equal. exact zenon_Hc8.
% 49.12/49.38 apply zenon_H105. apply refl_equal.
% 49.12/49.38 apply zenon_H105. apply refl_equal.
% 49.12/49.38 apply zenon_H103. apply sym_equal. exact zenon_H57.
% 49.12/49.38 apply zenon_H105. apply refl_equal.
% 49.12/49.38 apply zenon_H105. apply refl_equal.
% 49.12/49.38 (* end of lemma zenon_L95_ *)
% 49.12/49.38 assert (zenon_L96_ : (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e13)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e13) (e13)) = (e12)) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> False).
% 49.12/49.38 do 0 intro. intros zenon_Hc7 zenon_He0 zenon_H9a zenon_Hea zenon_H1f zenon_Hfb zenon_H24 zenon_Hc8 zenon_H57 zenon_H11d.
% 49.12/49.38 apply (zenon_or_s _ _ ax10); [ zenon_intro zenon_H9d | zenon_intro zenon_Hd4 ].
% 49.12/49.38 apply (zenon_and_s _ _ zenon_H9d). zenon_intro zenon_Ha0. zenon_intro zenon_H9f.
% 49.12/49.38 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_Ha2. zenon_intro zenon_Ha1.
% 49.12/49.38 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_Ha4. zenon_intro zenon_Ha3.
% 49.12/49.38 cut (((op1 (e12) (op1 (e10) (e12))) = (e12)) = ((op1 (e12) (e13)) = (op1 (e13) (e13)))).
% 49.12/49.38 intro zenon_D_pnotp.
% 49.12/49.38 apply zenon_Hc7.
% 49.12/49.38 rewrite <- zenon_D_pnotp.
% 49.12/49.38 exact zenon_Ha4.
% 49.12/49.38 cut (((e12) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hcf].
% 49.12/49.38 cut (((op1 (e12) (op1 (e10) (e12))) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H14f].
% 49.12/49.38 congruence.
% 49.12/49.38 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_Hd1 | zenon_intro zenon_Hd2 ].
% 49.12/49.38 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((op1 (e12) (op1 (e10) (e12))) = (op1 (e12) (e13)))).
% 49.12/49.38 intro zenon_D_pnotp.
% 49.12/49.38 apply zenon_H14f.
% 49.12/49.38 rewrite <- zenon_D_pnotp.
% 49.12/49.38 exact zenon_Hd1.
% 49.12/49.38 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hd2].
% 49.12/49.38 cut (((op1 (e12) (e13)) = (op1 (e12) (op1 (e10) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H150].
% 49.12/49.38 congruence.
% 49.12/49.38 cut (((e13) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H103].
% 49.12/49.38 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H48].
% 49.12/49.38 congruence.
% 49.12/49.38 apply zenon_H48. apply refl_equal.
% 49.12/49.38 apply zenon_H103. apply sym_equal. exact zenon_H57.
% 49.12/49.38 apply zenon_Hd2. apply refl_equal.
% 49.12/49.38 apply zenon_Hd2. apply refl_equal.
% 49.12/49.38 apply zenon_Hcf. apply sym_equal. exact zenon_Hc8.
% 49.12/49.38 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Had | zenon_intro zenon_Hd5 ].
% 49.12/49.38 apply (zenon_L49_); trivial.
% 49.12/49.38 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hc6 ].
% 49.12/49.38 apply (zenon_L94_); trivial.
% 49.12/49.38 apply (zenon_L95_); trivial.
% 49.12/49.38 (* end of lemma zenon_L96_ *)
% 49.12/49.38 assert (zenon_L97_ : (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> ((op1 (e13) (e10)) = (e10)) -> (~((e12) = (e13))) -> ((op1 (e13) (e11)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e13)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> False).
% 49.12/49.38 do 0 intro. intros zenon_Hd6 zenon_H76 zenon_H91 zenon_H111 zenon_Hdc zenon_H99 zenon_Hc7 zenon_He0 zenon_H9a zenon_Hea zenon_H1f zenon_Hfb zenon_H24 zenon_H57 zenon_H11d.
% 49.12/49.38 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H92 | zenon_intro zenon_Hd7 ].
% 49.12/49.38 apply (zenon_L29_); trivial.
% 49.12/49.38 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H95 | zenon_intro zenon_Hd8 ].
% 49.12/49.38 apply (zenon_L89_); trivial.
% 49.12/49.38 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hc8 ].
% 49.12/49.38 apply (zenon_L31_); trivial.
% 49.12/49.38 apply (zenon_L96_); trivial.
% 49.12/49.38 (* end of lemma zenon_L97_ *)
% 49.12/49.38 assert (zenon_L98_ : ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e13)) = (e13)) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e13) (e13)) = (e12)) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> False).
% 49.12/49.38 do 0 intro. intros zenon_He6 zenon_H12b zenon_H12c zenon_He7 zenon_H13a zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_Hc8 zenon_H57 zenon_H11d.
% 49.12/49.38 apply (zenon_or_s _ _ ax10); [ zenon_intro zenon_H9d | zenon_intro zenon_Hd4 ].
% 49.12/49.38 apply (zenon_L74_); trivial.
% 49.12/49.38 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Had | zenon_intro zenon_Hd5 ].
% 49.12/49.38 apply (zenon_L83_); trivial.
% 49.12/49.38 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hc6 ].
% 49.12/49.38 apply (zenon_L37_); trivial.
% 49.12/49.38 apply (zenon_L95_); trivial.
% 49.12/49.38 (* end of lemma zenon_L98_ *)
% 49.12/49.38 assert (zenon_L99_ : (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e11)) = (e13)) -> (~((e12) = (e13))) -> ((op1 (e13) (e10)) = (e10)) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e13) (e13)) = (e12)) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> False).
% 49.12/49.38 do 0 intro. intros zenon_H151 zenon_H58 zenon_H146 zenon_H20 zenon_Hea zenon_H9a zenon_He0 zenon_Hc7 zenon_H99 zenon_Hdc zenon_H111 zenon_H91 zenon_H76 zenon_Hd6 zenon_He6 zenon_H12b zenon_He7 zenon_H13a zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_Hc8 zenon_H57 zenon_H11d.
% 49.12/49.38 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H8c | zenon_intro zenon_H152 ].
% 49.12/49.38 apply (zenon_L46_); trivial.
% 49.12/49.38 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H145 | zenon_intro zenon_H153 ].
% 49.12/49.38 apply (zenon_L93_); trivial.
% 49.12/49.38 apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_Hfb | zenon_intro zenon_H12c ].
% 49.12/49.38 apply (zenon_L97_); trivial.
% 49.12/49.38 apply (zenon_L98_); trivial.
% 49.12/49.38 (* end of lemma zenon_L99_ *)
% 49.12/49.38 assert (zenon_L100_ : ((op1 (e13) (e12)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> ((op1 (e13) (e10)) = (e10)) -> (~((e12) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> False).
% 49.12/49.38 do 0 intro. intros zenon_H11b zenon_H142 zenon_H135 zenon_H3a zenon_Hd6 zenon_H76 zenon_H91 zenon_H111 zenon_H99 zenon_Hc7 zenon_He0 zenon_H9a zenon_Hea zenon_H20 zenon_H146 zenon_H58 zenon_H151 zenon_He6 zenon_H12b zenon_He7 zenon_H13a zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_H57 zenon_H11d.
% 49.12/49.38 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H92 | zenon_intro zenon_Hd7 ].
% 49.12/49.38 apply (zenon_L29_); trivial.
% 49.12/49.38 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H95 | zenon_intro zenon_Hd8 ].
% 49.12/49.38 apply (zenon_L92_); trivial.
% 49.12/49.38 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hc8 ].
% 49.12/49.38 apply (zenon_L31_); trivial.
% 49.12/49.38 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H39 | zenon_intro zenon_H136 ].
% 49.12/49.38 apply (zenon_L8_); trivial.
% 49.12/49.38 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hdc | zenon_intro zenon_H137 ].
% 49.12/49.38 apply (zenon_L99_); trivial.
% 49.12/49.38 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Haf | zenon_intro zenon_H12c ].
% 49.12/49.38 apply (zenon_L67_); trivial.
% 49.12/49.38 apply (zenon_L98_); trivial.
% 49.12/49.38 (* end of lemma zenon_L100_ *)
% 49.12/49.38 assert (zenon_L101_ : (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((op1 (e13) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> ((op1 (e12) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e11)) = (e13)) -> (~((e12) = (e13))) -> ((op1 (e13) (e10)) = (e10)) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> False).
% 49.22/49.38 do 0 intro. intros zenon_H108 zenon_H11b zenon_H11d zenon_H57 zenon_Hfb zenon_Hea zenon_He0 zenon_Hc7 zenon_H99 zenon_Hdc zenon_H111 zenon_H91 zenon_H76 zenon_Hd6 zenon_H24 zenon_H1f zenon_H20 zenon_H82.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_He1 | zenon_intro zenon_H109 ].
% 49.22/49.38 apply (zenon_L44_); trivial.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H64 | zenon_intro zenon_H10a ].
% 49.22/49.38 apply (zenon_L66_); trivial.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_H9a | zenon_intro zenon_H81 ].
% 49.22/49.38 apply (zenon_L97_); trivial.
% 49.22/49.38 apply (zenon_L26_); trivial.
% 49.22/49.38 (* end of lemma zenon_L101_ *)
% 49.22/49.38 assert (zenon_L102_ : (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> ((op1 (e13) (e10)) = (e10)) -> (~((e12) = (e13))) -> ((op1 (e13) (e11)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e11)) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e12)) -> False).
% 49.22/49.38 do 0 intro. intros zenon_H151 zenon_H58 zenon_H146 zenon_H82 zenon_H20 zenon_Hd6 zenon_H76 zenon_H91 zenon_H111 zenon_Hdc zenon_H99 zenon_Hc7 zenon_He0 zenon_Hea zenon_H57 zenon_H11d zenon_H11b zenon_H108 zenon_He6 zenon_H12b zenon_He7 zenon_H13a zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_H117 zenon_H9b.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H8c | zenon_intro zenon_H152 ].
% 49.22/49.38 apply (zenon_L46_); trivial.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H145 | zenon_intro zenon_H153 ].
% 49.22/49.38 apply (zenon_L93_); trivial.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_Hfb | zenon_intro zenon_H12c ].
% 49.22/49.38 apply (zenon_L101_); trivial.
% 49.22/49.38 apply (zenon_L84_); trivial.
% 49.22/49.38 (* end of lemma zenon_L102_ *)
% 49.22/49.38 assert (zenon_L103_ : (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> ((op1 (e10) (e11)) = (e10)) -> (~((e10) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> ((op1 (e13) (e11)) = (e12)) -> (~((e12) = (e13))) -> False).
% 49.22/49.38 do 0 intro. intros zenon_H154 zenon_H7b zenon_H142 zenon_H24 zenon_H1f zenon_H6c zenon_H13a zenon_He7 zenon_H12b zenon_He6 zenon_H11d zenon_H57 zenon_H20 zenon_H3a zenon_H135 zenon_H13f zenon_H10b zenon_H17 zenon_H2d zenon_H23 zenon_H113 zenon_H11e zenon_H63 zenon_H126 zenon_H122 zenon_H117 zenon_H58 zenon_H99 zenon_H9e zenon_H155 zenon_H95 zenon_H111.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ].
% 49.22/49.38 apply (zenon_L15_); trivial.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ].
% 49.22/49.38 apply (zenon_L25_); trivial.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ].
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H56 | zenon_intro zenon_H158 ].
% 49.22/49.38 apply (zenon_L17_); trivial.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H64 | zenon_intro zenon_H159 ].
% 49.22/49.38 apply (zenon_L86_); trivial.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H13d | zenon_intro zenon_H11b ].
% 49.22/49.38 apply (zenon_L88_); trivial.
% 49.22/49.38 apply (zenon_L92_); trivial.
% 49.22/49.38 apply (zenon_L89_); trivial.
% 49.22/49.38 (* end of lemma zenon_L103_ *)
% 49.22/49.38 assert (zenon_L104_ : ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e13) (e13)) = (e13)) -> ((op1 (e12) (e12)) = (e13)) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> False).
% 49.22/49.38 do 0 intro. intros zenon_H24 zenon_H12c zenon_H89 zenon_H20 zenon_H15a.
% 49.22/49.38 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_Ha5 | zenon_intro zenon_Ha6 ].
% 49.22/49.38 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((op1 (e11) (e13)) = (op1 (e13) (e13)))).
% 49.22/49.38 intro zenon_D_pnotp.
% 49.22/49.38 apply zenon_H15a.
% 49.22/49.38 rewrite <- zenon_D_pnotp.
% 49.22/49.38 exact zenon_Ha5.
% 49.22/49.38 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Ha6].
% 49.22/49.38 cut (((op1 (e13) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H15b].
% 49.22/49.38 congruence.
% 49.22/49.38 cut (((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) = ((op1 (e13) (e13)) = (op1 (e11) (e13)))).
% 49.22/49.38 intro zenon_D_pnotp.
% 49.22/49.38 apply zenon_H15b.
% 49.22/49.38 rewrite <- zenon_D_pnotp.
% 49.22/49.38 exact zenon_H24.
% 49.22/49.38 cut (((op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12))) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H88].
% 49.22/49.38 cut (((e13) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H12d].
% 49.22/49.38 congruence.
% 49.22/49.38 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_Ha5 | zenon_intro zenon_Ha6 ].
% 49.22/49.38 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((e13) = (op1 (e13) (e13)))).
% 49.22/49.38 intro zenon_D_pnotp.
% 49.22/49.38 apply zenon_H12d.
% 49.22/49.38 rewrite <- zenon_D_pnotp.
% 49.22/49.38 exact zenon_Ha5.
% 49.22/49.38 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Ha6].
% 49.22/49.38 cut (((op1 (e13) (e13)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H15c].
% 49.22/49.38 congruence.
% 49.22/49.38 exact (zenon_H15c zenon_H12c).
% 49.22/49.38 apply zenon_Ha6. apply refl_equal.
% 49.22/49.38 apply zenon_Ha6. apply refl_equal.
% 49.22/49.38 apply (zenon_L27_); trivial.
% 49.22/49.38 apply zenon_Ha6. apply refl_equal.
% 49.22/49.38 apply zenon_Ha6. apply refl_equal.
% 49.22/49.38 (* end of lemma zenon_L104_ *)
% 49.22/49.38 assert (zenon_L105_ : (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e11) = (e13))) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> ((op1 (e13) (e13)) = (e12)) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e12) (e12)) = (e13)) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> False).
% 49.22/49.38 do 0 intro. intros zenon_H151 zenon_H58 zenon_He6 zenon_H146 zenon_H11d zenon_H57 zenon_Hc8 zenon_H1f zenon_Hea zenon_H9a zenon_He0 zenon_Hc7 zenon_H24 zenon_H89 zenon_H20 zenon_H15a.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H8c | zenon_intro zenon_H152 ].
% 49.22/49.38 apply (zenon_L46_); trivial.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H145 | zenon_intro zenon_H153 ].
% 49.22/49.38 apply (zenon_L93_); trivial.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_Hfb | zenon_intro zenon_H12c ].
% 49.22/49.38 apply (zenon_L96_); trivial.
% 49.22/49.38 apply (zenon_L104_); trivial.
% 49.22/49.38 (* end of lemma zenon_L105_ *)
% 49.22/49.38 assert (zenon_L106_ : (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e13)) = (e11)) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> ((op1 (e10) (e11)) = (e10)) -> (~((e10) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> ((op1 (e13) (e10)) = (e10)) -> (~((e12) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> False).
% 49.22/49.38 do 0 intro. intros zenon_Hfd zenon_H33 zenon_H15a zenon_H20 zenon_H146 zenon_He6 zenon_H58 zenon_H151 zenon_H154 zenon_H7b zenon_H142 zenon_H6c zenon_H13a zenon_He7 zenon_H12b zenon_H3a zenon_H135 zenon_H13f zenon_H10b zenon_H17 zenon_H2d zenon_H23 zenon_H113 zenon_H11e zenon_H63 zenon_H126 zenon_H122 zenon_H117 zenon_H9e zenon_H155 zenon_Hd6 zenon_H76 zenon_H91 zenon_H111 zenon_H99 zenon_Hc7 zenon_He0 zenon_H9a zenon_Hea zenon_H1f zenon_H24 zenon_H57 zenon_H11d.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ].
% 49.22/49.38 apply (zenon_L15_); trivial.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ].
% 49.22/49.38 apply (zenon_L25_); trivial.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ].
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H56 | zenon_intro zenon_H158 ].
% 49.22/49.38 apply (zenon_L17_); trivial.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H64 | zenon_intro zenon_H159 ].
% 49.22/49.38 apply (zenon_L86_); trivial.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H13d | zenon_intro zenon_H11b ].
% 49.22/49.38 apply (zenon_L88_); trivial.
% 49.22/49.38 apply (zenon_L100_); trivial.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hfe ].
% 49.22/49.38 apply (zenon_L7_); trivial.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hff ].
% 49.22/49.38 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H92 | zenon_intro zenon_Hd7 ].
% 49.22/49.38 apply (zenon_L29_); trivial.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H95 | zenon_intro zenon_Hd8 ].
% 49.22/49.38 apply (zenon_L89_); trivial.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hc8 ].
% 49.22/49.38 apply (zenon_L31_); trivial.
% 49.22/49.38 apply (zenon_L99_); trivial.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H89 | zenon_intro zenon_Hfb ].
% 49.22/49.38 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H92 | zenon_intro zenon_Hd7 ].
% 49.22/49.38 apply (zenon_L29_); trivial.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H95 | zenon_intro zenon_Hd8 ].
% 49.22/49.38 apply (zenon_L103_); trivial.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hc8 ].
% 49.22/49.38 apply (zenon_L31_); trivial.
% 49.22/49.38 apply (zenon_L105_); trivial.
% 49.22/49.38 apply (zenon_L97_); trivial.
% 49.22/49.38 (* end of lemma zenon_L106_ *)
% 49.22/49.38 assert (zenon_L107_ : (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((e10) = (e13))) -> ((op1 (e10) (e11)) = (e10)) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e13)) = (e11)) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((op1 (e13) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e11)) = (e13)) -> (~((e12) = (e13))) -> ((op1 (e13) (e10)) = (e10)) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> False).
% 49.22/49.38 do 0 intro. intros zenon_H155 zenon_H9e zenon_H122 zenon_H126 zenon_H11e zenon_H113 zenon_H23 zenon_H2d zenon_H17 zenon_H10b zenon_H13f zenon_H135 zenon_H3a zenon_H142 zenon_H7b zenon_H154 zenon_H63 zenon_Hfd zenon_H33 zenon_H117 zenon_H6c zenon_H13a zenon_He7 zenon_H12b zenon_H15a zenon_H146 zenon_He6 zenon_H58 zenon_H151 zenon_H108 zenon_H11b zenon_H11d zenon_H57 zenon_Hea zenon_He0 zenon_Hc7 zenon_H99 zenon_Hdc zenon_H111 zenon_H91 zenon_H76 zenon_Hd6 zenon_H24 zenon_H1f zenon_H20 zenon_H82.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_He4 | zenon_intro zenon_H10c ].
% 49.22/49.38 apply (zenon_L69_); trivial.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H9a | zenon_intro zenon_H10d ].
% 49.22/49.38 apply (zenon_L106_); trivial.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H101 | zenon_intro zenon_H9b ].
% 49.22/49.38 apply (zenon_L57_); trivial.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hfe ].
% 49.22/49.38 apply (zenon_L7_); trivial.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hff ].
% 49.22/49.38 apply (zenon_L102_); trivial.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H89 | zenon_intro zenon_Hfb ].
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H8c | zenon_intro zenon_H152 ].
% 49.22/49.38 apply (zenon_L46_); trivial.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H145 | zenon_intro zenon_H153 ].
% 49.22/49.38 apply (zenon_L93_); trivial.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_Hfb | zenon_intro zenon_H12c ].
% 49.22/49.38 apply (zenon_L101_); trivial.
% 49.22/49.38 apply (zenon_L104_); trivial.
% 49.22/49.38 apply (zenon_L101_); trivial.
% 49.22/49.38 (* end of lemma zenon_L107_ *)
% 49.22/49.38 assert (zenon_L108_ : ((op1 (e10) (e13)) = (e11)) -> ((op1 (e10) (e13)) = (e12)) -> (~((e11) = (e12))) -> False).
% 49.22/49.38 do 0 intro. intros zenon_He6 zenon_H110 zenon_H96.
% 49.22/49.38 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H77 | zenon_intro zenon_H48 ].
% 49.22/49.38 cut (((e12) = (e12)) = ((e11) = (e12))).
% 49.22/49.38 intro zenon_D_pnotp.
% 49.22/49.38 apply zenon_H96.
% 49.22/49.38 rewrite <- zenon_D_pnotp.
% 49.22/49.38 exact zenon_H77.
% 49.22/49.38 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H48].
% 49.22/49.38 cut (((e12) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H97].
% 49.22/49.38 congruence.
% 49.22/49.38 cut (((op1 (e10) (e13)) = (e11)) = ((e12) = (e11))).
% 49.22/49.38 intro zenon_D_pnotp.
% 49.22/49.38 apply zenon_H97.
% 49.22/49.38 rewrite <- zenon_D_pnotp.
% 49.22/49.38 exact zenon_He6.
% 49.22/49.38 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H51].
% 49.22/49.38 cut (((op1 (e10) (e13)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H15d].
% 49.22/49.38 congruence.
% 49.22/49.38 exact (zenon_H15d zenon_H110).
% 49.22/49.38 apply zenon_H51. apply refl_equal.
% 49.22/49.38 apply zenon_H48. apply refl_equal.
% 49.22/49.38 apply zenon_H48. apply refl_equal.
% 49.22/49.38 (* end of lemma zenon_L108_ *)
% 49.22/49.38 assert (zenon_L109_ : (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (e10)) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((e10) = (e12))) -> (~((e11) = (e13))) -> (~((e12) = (e13))) -> ((op1 (e10) (e11)) = (e10)) -> (~((e10) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e10) (e13)) = (e11)) -> (~((e11) = (e12))) -> False).
% 49.22/49.38 do 0 intro. intros zenon_H15e zenon_H40 zenon_H9e zenon_H155 zenon_H122 zenon_H126 zenon_H11e zenon_H10b zenon_H13f zenon_H135 zenon_H142 zenon_H7b zenon_H154 zenon_H63 zenon_Hfd zenon_H117 zenon_H6c zenon_H13a zenon_H12b zenon_H15a zenon_H146 zenon_H151 zenon_H108 zenon_H11d zenon_Hea zenon_He0 zenon_Hc7 zenon_H99 zenon_H91 zenon_Hd6 zenon_H82 zenon_H15f zenon_H4f zenon_H160 zenon_H8b zenon_H161 zenon_H33 zenon_H3a zenon_H76 zenon_H58 zenon_H111 zenon_H17 zenon_H2d zenon_H23 zenon_H24 zenon_H1f zenon_H20 zenon_H113 zenon_He6 zenon_H96.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H72 | zenon_intro zenon_H162 ].
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H25 | zenon_intro zenon_H114 ].
% 49.22/49.38 apply (zenon_L4_); trivial.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H54 | zenon_intro zenon_H115 ].
% 49.22/49.38 apply (zenon_L15_); trivial.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H57 | zenon_intro zenon_H8c ].
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H25 | zenon_intro zenon_H41 ].
% 49.22/49.38 apply (zenon_L4_); trivial.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H2c | zenon_intro zenon_H42 ].
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H2b | zenon_intro zenon_H163 ].
% 49.22/49.38 apply (zenon_L6_); trivial.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H60 | zenon_intro zenon_H164 ].
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H5b | zenon_intro zenon_H165 ].
% 49.22/49.38 apply (zenon_L18_); trivial.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H61 | zenon_intro zenon_H166 ].
% 49.22/49.38 apply (zenon_L19_); trivial.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H64 | zenon_intro zenon_Hab ].
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H73 | zenon_intro zenon_H167 ].
% 49.22/49.38 apply (zenon_L23_); trivial.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H75 | zenon_intro zenon_H168 ].
% 49.22/49.38 apply (zenon_L24_); trivial.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H9a | zenon_intro zenon_Hde ].
% 49.22/49.38 apply (zenon_L68_); trivial.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ].
% 49.22/49.38 apply (zenon_L15_); trivial.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ].
% 49.22/49.38 apply (zenon_L25_); trivial.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ].
% 49.22/49.38 apply (zenon_L79_); trivial.
% 49.22/49.38 apply (zenon_L72_); trivial.
% 49.22/49.38 apply (zenon_L80_); trivial.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_He1 | zenon_intro zenon_He7 ].
% 49.22/49.38 apply (zenon_L44_); trivial.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ].
% 49.22/49.38 apply (zenon_L15_); trivial.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ].
% 49.22/49.38 apply (zenon_L25_); trivial.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ].
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H56 | zenon_intro zenon_H158 ].
% 49.22/49.38 apply (zenon_L17_); trivial.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H64 | zenon_intro zenon_H159 ].
% 49.22/49.38 apply (zenon_L86_); trivial.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H13d | zenon_intro zenon_H11b ].
% 49.22/49.38 apply (zenon_L88_); trivial.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_He4 | zenon_intro zenon_H10c ].
% 49.22/49.38 apply (zenon_L81_); trivial.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H9a | zenon_intro zenon_H10d ].
% 49.22/49.38 apply (zenon_L100_); trivial.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H101 | zenon_intro zenon_H9b ].
% 49.22/49.38 apply (zenon_L57_); trivial.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H39 | zenon_intro zenon_H136 ].
% 49.22/49.38 apply (zenon_L8_); trivial.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hdc | zenon_intro zenon_H137 ].
% 49.22/49.38 apply (zenon_L102_); trivial.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Haf | zenon_intro zenon_H12c ].
% 49.22/49.38 apply (zenon_L67_); trivial.
% 49.22/49.38 apply (zenon_L84_); trivial.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H121 | zenon_intro zenon_H127 ].
% 49.22/49.38 apply (zenon_L70_); trivial.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H94 | zenon_intro zenon_H128 ].
% 49.22/49.38 apply (zenon_L42_); trivial.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H11b | zenon_intro zenon_Hf3 ].
% 49.22/49.38 apply (zenon_L107_); trivial.
% 49.22/49.38 apply (zenon_L71_); trivial.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H39 ].
% 49.22/49.38 apply (zenon_L7_); trivial.
% 49.22/49.38 apply (zenon_L8_); trivial.
% 49.22/49.38 apply (zenon_L46_); trivial.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H10e | zenon_intro zenon_H169 ].
% 49.22/49.38 apply (zenon_L62_); trivial.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_He4 | zenon_intro zenon_H110 ].
% 49.22/49.38 apply (zenon_L81_); trivial.
% 49.22/49.38 apply (zenon_L108_); trivial.
% 49.22/49.38 (* end of lemma zenon_L109_ *)
% 49.22/49.38 assert (zenon_L110_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((e10) = (e12))) -> (~((e11) = (e13))) -> (~((e12) = (e13))) -> ((op1 (e10) (e11)) = (e10)) -> (~((e10) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e11) = (e12))) -> False).
% 49.22/49.38 do 0 intro. intros zenon_H16a zenon_H19 zenon_H43 zenon_H16b zenon_H4a zenon_Hd9 zenon_Hae zenon_Hf7 zenon_Hfa zenon_H16c zenon_H67 zenon_H15e zenon_H40 zenon_H9e zenon_H155 zenon_H122 zenon_H126 zenon_H11e zenon_H10b zenon_H13f zenon_H135 zenon_H142 zenon_H7b zenon_H154 zenon_H63 zenon_Hfd zenon_H117 zenon_H6c zenon_H13a zenon_H12b zenon_H15a zenon_H146 zenon_H151 zenon_H108 zenon_H11d zenon_Hea zenon_He0 zenon_Hc7 zenon_H99 zenon_Hd6 zenon_H82 zenon_H15f zenon_H4f zenon_H160 zenon_H8b zenon_H161 zenon_H33 zenon_H3a zenon_H76 zenon_H58 zenon_H111 zenon_H17 zenon_H2d zenon_H23 zenon_H24 zenon_H1f zenon_H20 zenon_H113 zenon_H96.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H18 | zenon_intro zenon_H16d ].
% 49.22/49.38 apply (zenon_L2_); trivial.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H2b | zenon_intro zenon_H16e ].
% 49.22/49.38 apply (zenon_L9_); trivial.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H44 | zenon_intro zenon_H91 ].
% 49.22/49.38 apply (zenon_L10_); trivial.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H4b | zenon_intro zenon_H16f ].
% 49.22/49.38 apply (zenon_L13_); trivial.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H4e | zenon_intro zenon_H170 ].
% 49.22/49.38 apply (zenon_L14_); trivial.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H56 | zenon_intro zenon_He6 ].
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H72 | zenon_intro zenon_H162 ].
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H25 | zenon_intro zenon_H114 ].
% 49.22/49.38 apply (zenon_L4_); trivial.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H54 | zenon_intro zenon_H115 ].
% 49.22/49.38 apply (zenon_L15_); trivial.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H57 | zenon_intro zenon_H8c ].
% 49.22/49.38 apply (zenon_L17_); trivial.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H25 | zenon_intro zenon_H41 ].
% 49.22/49.38 apply (zenon_L4_); trivial.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H2c | zenon_intro zenon_H42 ].
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H2b | zenon_intro zenon_H163 ].
% 49.22/49.38 apply (zenon_L6_); trivial.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H60 | zenon_intro zenon_H164 ].
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H5b | zenon_intro zenon_H165 ].
% 49.22/49.38 apply (zenon_L18_); trivial.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H61 | zenon_intro zenon_H166 ].
% 49.22/49.38 apply (zenon_L19_); trivial.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H64 | zenon_intro zenon_Hab ].
% 49.22/49.38 apply (zenon_L20_); trivial.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H4e | zenon_intro zenon_H171 ].
% 49.22/49.38 apply (zenon_L21_); trivial.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H61 | zenon_intro zenon_H172 ].
% 49.22/49.38 apply (zenon_L19_); trivial.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H6b | zenon_intro zenon_H94 ].
% 49.22/49.38 apply (zenon_L22_); trivial.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H73 | zenon_intro zenon_H167 ].
% 49.22/49.38 apply (zenon_L23_); trivial.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H75 | zenon_intro zenon_H168 ].
% 49.22/49.38 apply (zenon_L24_); trivial.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H9a | zenon_intro zenon_Hde ].
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ].
% 49.22/49.38 apply (zenon_L15_); trivial.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ].
% 49.22/49.38 apply (zenon_L25_); trivial.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ].
% 49.22/49.38 apply (zenon_L41_); trivial.
% 49.22/49.38 apply (zenon_L42_); trivial.
% 49.22/49.38 apply (zenon_L43_); trivial.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_He1 | zenon_intro zenon_He7 ].
% 49.22/49.38 apply (zenon_L44_); trivial.
% 49.22/49.38 apply (zenon_L61_); trivial.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H39 ].
% 49.22/49.38 apply (zenon_L7_); trivial.
% 49.22/49.38 apply (zenon_L8_); trivial.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H10e | zenon_intro zenon_H169 ].
% 49.22/49.38 apply (zenon_L62_); trivial.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_He4 | zenon_intro zenon_H110 ].
% 49.22/49.38 apply (zenon_L45_); trivial.
% 49.22/49.38 apply (zenon_L64_); trivial.
% 49.22/49.38 apply (zenon_L109_); trivial.
% 49.22/49.38 (* end of lemma zenon_L110_ *)
% 49.22/49.38 assert (zenon_L111_ : (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e10) (e12)) = (e10)) -> False).
% 49.22/49.38 do 0 intro. intros zenon_H173 zenon_H1f zenon_H174.
% 49.22/49.38 cut (((e10) = (op1 (e12) (e12))) = ((op1 (e10) (e12)) = (op1 (e12) (e12)))).
% 49.22/49.38 intro zenon_D_pnotp.
% 49.22/49.38 apply zenon_H173.
% 49.22/49.38 rewrite <- zenon_D_pnotp.
% 49.22/49.38 exact zenon_H1f.
% 49.22/49.38 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 49.22/49.38 cut (((e10) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H175].
% 49.22/49.38 congruence.
% 49.22/49.38 elim (classic ((op1 (e10) (e12)) = (op1 (e10) (e12)))); [ zenon_intro zenon_H68 | zenon_intro zenon_H66 ].
% 49.22/49.38 cut (((op1 (e10) (e12)) = (op1 (e10) (e12))) = ((e10) = (op1 (e10) (e12)))).
% 49.22/49.38 intro zenon_D_pnotp.
% 49.22/49.38 apply zenon_H175.
% 49.22/49.38 rewrite <- zenon_D_pnotp.
% 49.22/49.38 exact zenon_H68.
% 49.22/49.38 cut (((op1 (e10) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H66].
% 49.22/49.38 cut (((op1 (e10) (e12)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H176].
% 49.22/49.38 congruence.
% 49.22/49.38 exact (zenon_H176 zenon_H174).
% 49.22/49.38 apply zenon_H66. apply refl_equal.
% 49.22/49.38 apply zenon_H66. apply refl_equal.
% 49.22/49.38 apply zenon_H45. apply refl_equal.
% 49.22/49.38 (* end of lemma zenon_L111_ *)
% 49.22/49.38 assert (zenon_L112_ : ((op1 (e10) (e13)) = (e10)) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> False).
% 49.22/49.38 do 0 intro. intros zenon_H177 zenon_H18 zenon_H178.
% 49.22/49.38 elim (classic ((op1 (e10) (e13)) = (op1 (e10) (e13)))); [ zenon_intro zenon_H8e | zenon_intro zenon_H8f ].
% 49.22/49.38 cut (((op1 (e10) (e13)) = (op1 (e10) (e13))) = ((op1 (e10) (e10)) = (op1 (e10) (e13)))).
% 49.22/49.38 intro zenon_D_pnotp.
% 49.22/49.38 apply zenon_H178.
% 49.22/49.38 rewrite <- zenon_D_pnotp.
% 49.22/49.38 exact zenon_H8e.
% 49.22/49.38 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H8f].
% 49.22/49.38 cut (((op1 (e10) (e13)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H179].
% 49.22/49.38 congruence.
% 49.22/49.38 cut (((op1 (e10) (e13)) = (e10)) = ((op1 (e10) (e13)) = (op1 (e10) (e10)))).
% 49.22/49.38 intro zenon_D_pnotp.
% 49.22/49.38 apply zenon_H179.
% 49.22/49.38 rewrite <- zenon_D_pnotp.
% 49.22/49.38 exact zenon_H177.
% 49.22/49.38 cut (((e10) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1d].
% 49.22/49.38 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H8f].
% 49.22/49.38 congruence.
% 49.22/49.38 apply zenon_H8f. apply refl_equal.
% 49.22/49.38 apply zenon_H1d. apply sym_equal. exact zenon_H18.
% 49.22/49.38 apply zenon_H8f. apply refl_equal.
% 49.22/49.38 apply zenon_H8f. apply refl_equal.
% 49.22/49.38 (* end of lemma zenon_L112_ *)
% 49.22/49.38 assert (zenon_L113_ : ((op1 (e10) (e11)) = (e11)) -> ((op1 (e10) (e11)) = (e13)) -> (~((e11) = (e13))) -> False).
% 49.22/49.38 do 0 intro. intros zenon_H4e zenon_H54 zenon_H58.
% 49.22/49.38 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H2e | zenon_intro zenon_H2f ].
% 49.22/49.38 cut (((e13) = (e13)) = ((e11) = (e13))).
% 49.22/49.38 intro zenon_D_pnotp.
% 49.22/49.38 apply zenon_H58.
% 49.22/49.38 rewrite <- zenon_D_pnotp.
% 49.22/49.38 exact zenon_H2e.
% 49.22/49.38 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2f].
% 49.22/49.38 cut (((e13) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H59].
% 49.22/49.38 congruence.
% 49.22/49.38 cut (((op1 (e10) (e11)) = (e11)) = ((e13) = (e11))).
% 49.22/49.38 intro zenon_D_pnotp.
% 49.22/49.38 apply zenon_H59.
% 49.22/49.38 rewrite <- zenon_D_pnotp.
% 49.22/49.38 exact zenon_H4e.
% 49.22/49.38 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H51].
% 49.22/49.38 cut (((op1 (e10) (e11)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H55].
% 49.22/49.38 congruence.
% 49.22/49.38 exact (zenon_H55 zenon_H54).
% 49.22/49.38 apply zenon_H51. apply refl_equal.
% 49.22/49.38 apply zenon_H2f. apply refl_equal.
% 49.22/49.38 apply zenon_H2f. apply refl_equal.
% 49.22/49.38 (* end of lemma zenon_L113_ *)
% 49.22/49.38 assert (zenon_L114_ : ((op1 (e10) (e13)) = (e10)) -> ((op1 (e10) (e11)) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 49.22/49.38 do 0 intro. intros zenon_H177 zenon_H17 zenon_H17a.
% 49.22/49.38 elim (classic ((op1 (e10) (e13)) = (op1 (e10) (e13)))); [ zenon_intro zenon_H8e | zenon_intro zenon_H8f ].
% 49.22/49.38 cut (((op1 (e10) (e13)) = (op1 (e10) (e13))) = ((op1 (e10) (e11)) = (op1 (e10) (e13)))).
% 49.22/49.38 intro zenon_D_pnotp.
% 49.22/49.38 apply zenon_H17a.
% 49.22/49.38 rewrite <- zenon_D_pnotp.
% 49.22/49.38 exact zenon_H8e.
% 49.22/49.38 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H8f].
% 49.22/49.38 cut (((op1 (e10) (e13)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H17b].
% 49.22/49.38 congruence.
% 49.22/49.38 cut (((op1 (e10) (e13)) = (e10)) = ((op1 (e10) (e13)) = (op1 (e10) (e11)))).
% 49.22/49.38 intro zenon_D_pnotp.
% 49.22/49.38 apply zenon_H17b.
% 49.22/49.38 rewrite <- zenon_D_pnotp.
% 49.22/49.38 exact zenon_H177.
% 49.22/49.38 cut (((e10) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H17c].
% 49.22/49.38 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H8f].
% 49.22/49.38 congruence.
% 49.22/49.38 apply zenon_H8f. apply refl_equal.
% 49.22/49.38 apply zenon_H17c. apply sym_equal. exact zenon_H17.
% 49.22/49.38 apply zenon_H8f. apply refl_equal.
% 49.22/49.38 apply zenon_H8f. apply refl_equal.
% 49.22/49.38 (* end of lemma zenon_L114_ *)
% 49.22/49.38 assert (zenon_L115_ : (~((op1 (e13) (e10)) = (op1 (e13) (op1 (e10) (e13))))) -> ((op1 (e10) (e13)) = (e10)) -> False).
% 49.22/49.38 do 0 intro. intros zenon_H17d zenon_H177.
% 49.22/49.38 cut (((e10) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H17e].
% 49.22/49.38 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2f].
% 49.22/49.38 congruence.
% 49.22/49.38 apply zenon_H2f. apply refl_equal.
% 49.22/49.38 apply zenon_H17e. apply sym_equal. exact zenon_H177.
% 49.22/49.38 (* end of lemma zenon_L115_ *)
% 49.22/49.38 assert (zenon_L116_ : (((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e11) (op1 (e10) (e11))) = (e11))/\(((op1 (e12) (op1 (e10) (e12))) = (e12))/\((op1 (e13) (op1 (e10) (e13))) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e10)) -> ((op1 (e13) (e13)) = (e13)) -> False).
% 49.22/49.38 do 0 intro. intros zenon_H9d zenon_H13a zenon_H177 zenon_H12c.
% 49.22/49.38 apply (zenon_and_s _ _ zenon_H9d). zenon_intro zenon_Ha0. zenon_intro zenon_H9f.
% 49.22/49.38 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_Ha2. zenon_intro zenon_Ha1.
% 49.22/49.38 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_Ha4. zenon_intro zenon_Ha3.
% 49.22/49.38 cut (((op1 (e13) (op1 (e10) (e13))) = (e13)) = ((op1 (e13) (e10)) = (op1 (e13) (e13)))).
% 49.22/49.38 intro zenon_D_pnotp.
% 49.22/49.38 apply zenon_H13a.
% 49.22/49.38 rewrite <- zenon_D_pnotp.
% 49.22/49.38 exact zenon_Ha3.
% 49.22/49.38 cut (((e13) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H12d].
% 49.22/49.38 cut (((op1 (e13) (op1 (e10) (e13))) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H17f].
% 49.22/49.38 congruence.
% 49.22/49.38 elim (classic ((op1 (e13) (e10)) = (op1 (e13) (e10)))); [ zenon_intro zenon_H3b | zenon_intro zenon_H3c ].
% 49.22/49.38 cut (((op1 (e13) (e10)) = (op1 (e13) (e10))) = ((op1 (e13) (op1 (e10) (e13))) = (op1 (e13) (e10)))).
% 49.22/49.38 intro zenon_D_pnotp.
% 49.22/49.38 apply zenon_H17f.
% 49.22/49.38 rewrite <- zenon_D_pnotp.
% 49.22/49.38 exact zenon_H3b.
% 49.22/49.38 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H3c].
% 49.22/49.38 cut (((op1 (e13) (e10)) = (op1 (e13) (op1 (e10) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H17d].
% 49.22/49.38 congruence.
% 49.22/49.38 apply (zenon_L115_); trivial.
% 49.22/49.38 apply zenon_H3c. apply refl_equal.
% 49.22/49.38 apply zenon_H3c. apply refl_equal.
% 49.22/49.38 apply zenon_H12d. apply sym_equal. exact zenon_H12c.
% 49.22/49.38 (* end of lemma zenon_L116_ *)
% 49.22/49.38 assert (zenon_L117_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((e12) = (e13))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e11)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e12) (e11)) = (e13)) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e10)) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> False).
% 49.22/49.38 do 0 intro. intros zenon_H135 zenon_H3a zenon_H20 zenon_H111 zenon_H11e zenon_H117 zenon_H95 zenon_H142 zenon_H24 zenon_Hbe zenon_H1f zenon_H6c zenon_He0 zenon_H13a zenon_H177 zenon_H9a zenon_H99 zenon_H11d zenon_H57.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H39 | zenon_intro zenon_H136 ].
% 49.22/49.38 apply (zenon_L8_); trivial.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hdc | zenon_intro zenon_H137 ].
% 49.22/49.38 apply (zenon_L89_); trivial.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Haf | zenon_intro zenon_H12c ].
% 49.22/49.38 apply (zenon_L67_); trivial.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H116 | zenon_intro zenon_H11f ].
% 49.22/49.38 apply (zenon_L65_); trivial.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H11b | zenon_intro zenon_H120 ].
% 49.22/49.38 apply (zenon_or_s _ _ ax10); [ zenon_intro zenon_H9d | zenon_intro zenon_Hd4 ].
% 49.22/49.38 apply (zenon_L116_); trivial.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Had | zenon_intro zenon_Hd5 ].
% 49.22/49.38 apply (zenon_L49_); trivial.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hc6 ].
% 49.22/49.38 apply (zenon_L37_); trivial.
% 49.22/49.38 apply (zenon_L91_); trivial.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_H9b | zenon_intro zenon_Haf ].
% 49.22/49.38 apply (zenon_L31_); trivial.
% 49.22/49.38 apply (zenon_L67_); trivial.
% 49.22/49.38 (* end of lemma zenon_L117_ *)
% 49.22/49.38 assert (zenon_L118_ : (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e11)) = (e12)) -> ((op1 (e13) (e12)) = (e12)) -> False).
% 49.22/49.38 do 0 intro. intros zenon_Hae zenon_H95 zenon_H9b.
% 49.22/49.38 cut (((op1 (e13) (e11)) = (e12)) = ((op1 (e13) (e11)) = (op1 (e13) (e12)))).
% 49.22/49.38 intro zenon_D_pnotp.
% 49.22/49.38 apply zenon_Hae.
% 49.22/49.38 rewrite <- zenon_D_pnotp.
% 49.22/49.38 exact zenon_H95.
% 49.22/49.38 cut (((e12) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H9c].
% 49.22/49.38 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_Hb9].
% 49.22/49.38 congruence.
% 49.22/49.38 apply zenon_Hb9. apply refl_equal.
% 49.22/49.38 apply zenon_H9c. apply sym_equal. exact zenon_H9b.
% 49.22/49.38 (* end of lemma zenon_L118_ *)
% 49.22/49.38 assert (zenon_L119_ : (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((e11) = (e13))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> ((op1 (e13) (e11)) = (e12)) -> (~((e12) = (e13))) -> False).
% 49.22/49.38 do 0 intro. intros zenon_H154 zenon_H58 zenon_H4e zenon_H7b zenon_Hae zenon_H63 zenon_H24 zenon_H57 zenon_H20 zenon_H135 zenon_H3a zenon_H11e zenon_H117 zenon_H142 zenon_H1f zenon_H6c zenon_He0 zenon_H13a zenon_H177 zenon_H99 zenon_H11d zenon_H10b zenon_H95 zenon_H111.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ].
% 49.22/49.38 apply (zenon_L113_); trivial.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ].
% 49.22/49.38 apply (zenon_L25_); trivial.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ].
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_He4 | zenon_intro zenon_H10c ].
% 49.22/49.38 apply (zenon_L69_); trivial.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H9a | zenon_intro zenon_H10d ].
% 49.22/49.38 apply (zenon_L117_); trivial.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H101 | zenon_intro zenon_H9b ].
% 49.22/49.38 apply (zenon_L57_); trivial.
% 49.22/49.38 apply (zenon_L118_); trivial.
% 49.22/49.38 apply (zenon_L89_); trivial.
% 49.22/49.38 (* end of lemma zenon_L119_ *)
% 49.22/49.38 assert (zenon_L120_ : (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e13)) = (e10)) -> ((op1 (e11) (e13)) = (e10)) -> False).
% 49.22/49.38 do 0 intro. intros zenon_H8b zenon_H177 zenon_He7.
% 49.22/49.38 cut (((op1 (e10) (e13)) = (e10)) = ((op1 (e10) (e13)) = (op1 (e11) (e13)))).
% 49.22/49.38 intro zenon_D_pnotp.
% 49.22/49.38 apply zenon_H8b.
% 49.22/49.38 rewrite <- zenon_D_pnotp.
% 49.22/49.38 exact zenon_H177.
% 49.22/49.38 cut (((e10) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H139].
% 49.22/49.38 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H8f].
% 49.22/49.38 congruence.
% 49.22/49.38 apply zenon_H8f. apply refl_equal.
% 49.22/49.38 apply zenon_H139. apply sym_equal. exact zenon_He7.
% 49.22/49.38 (* end of lemma zenon_L120_ *)
% 49.22/49.38 assert (zenon_L121_ : ((op1 (e10) (e13)) = (e10)) -> ((op1 (e10) (e13)) = (e13)) -> (~((e10) = (e13))) -> False).
% 49.22/49.38 do 0 intro. intros zenon_H177 zenon_H8c zenon_H2d.
% 49.22/49.38 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H2e | zenon_intro zenon_H2f ].
% 49.22/49.38 cut (((e13) = (e13)) = ((e10) = (e13))).
% 49.22/49.38 intro zenon_D_pnotp.
% 49.22/49.38 apply zenon_H2d.
% 49.22/49.38 rewrite <- zenon_D_pnotp.
% 49.22/49.38 exact zenon_H2e.
% 49.22/49.38 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2f].
% 49.22/49.38 cut (((e13) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H30].
% 49.22/49.38 congruence.
% 49.22/49.38 cut (((op1 (e10) (e13)) = (e10)) = ((e13) = (e10))).
% 49.22/49.38 intro zenon_D_pnotp.
% 49.22/49.38 apply zenon_H30.
% 49.22/49.38 rewrite <- zenon_D_pnotp.
% 49.22/49.38 exact zenon_H177.
% 49.22/49.38 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H2a].
% 49.22/49.38 cut (((op1 (e10) (e13)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H90].
% 49.22/49.38 congruence.
% 49.22/49.38 exact (zenon_H90 zenon_H8c).
% 49.22/49.38 apply zenon_H2a. apply refl_equal.
% 49.22/49.38 apply zenon_H2f. apply refl_equal.
% 49.22/49.38 apply zenon_H2f. apply refl_equal.
% 49.22/49.38 (* end of lemma zenon_L121_ *)
% 49.22/49.38 assert (zenon_L122_ : (((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e11) (op1 (e10) (e11))) = (e11))/\(((op1 (e12) (op1 (e10) (e12))) = (e12))/\((op1 (e13) (op1 (e10) (e13))) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e10) (e13)) = (e10)) -> ((op1 (e13) (e11)) = (e13)) -> False).
% 49.22/49.38 do 0 intro. intros zenon_H9d zenon_H180 zenon_H177 zenon_Hdc.
% 49.22/49.38 apply (zenon_and_s _ _ zenon_H9d). zenon_intro zenon_Ha0. zenon_intro zenon_H9f.
% 49.22/49.38 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_Ha2. zenon_intro zenon_Ha1.
% 49.22/49.38 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_Ha4. zenon_intro zenon_Ha3.
% 49.22/49.38 cut (((op1 (e13) (op1 (e10) (e13))) = (e13)) = ((op1 (e13) (e10)) = (op1 (e13) (e11)))).
% 49.22/49.38 intro zenon_D_pnotp.
% 49.22/49.38 apply zenon_H180.
% 49.22/49.38 rewrite <- zenon_D_pnotp.
% 49.22/49.38 exact zenon_Ha3.
% 49.22/49.38 cut (((e13) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H181].
% 49.22/49.38 cut (((op1 (e13) (op1 (e10) (e13))) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H17f].
% 49.22/49.38 congruence.
% 49.22/49.38 elim (classic ((op1 (e13) (e10)) = (op1 (e13) (e10)))); [ zenon_intro zenon_H3b | zenon_intro zenon_H3c ].
% 49.22/49.38 cut (((op1 (e13) (e10)) = (op1 (e13) (e10))) = ((op1 (e13) (op1 (e10) (e13))) = (op1 (e13) (e10)))).
% 49.22/49.38 intro zenon_D_pnotp.
% 49.22/49.38 apply zenon_H17f.
% 49.22/49.38 rewrite <- zenon_D_pnotp.
% 49.22/49.38 exact zenon_H3b.
% 49.22/49.38 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H3c].
% 49.22/49.38 cut (((op1 (e13) (e10)) = (op1 (e13) (op1 (e10) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H17d].
% 49.22/49.38 congruence.
% 49.22/49.38 apply (zenon_L115_); trivial.
% 49.22/49.38 apply zenon_H3c. apply refl_equal.
% 49.22/49.38 apply zenon_H3c. apply refl_equal.
% 49.22/49.38 apply zenon_H181. apply sym_equal. exact zenon_Hdc.
% 49.22/49.38 (* end of lemma zenon_L122_ *)
% 49.22/49.38 assert (zenon_L123_ : ((op1 (e13) (e11)) = (e13)) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e13)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e13) (e13)) = (e12)) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> False).
% 49.22/49.38 do 0 intro. intros zenon_Hdc zenon_H177 zenon_H180 zenon_He0 zenon_H9a zenon_Hea zenon_H1f zenon_Hfb zenon_H24 zenon_Hc8 zenon_H57 zenon_H11d.
% 49.22/49.38 apply (zenon_or_s _ _ ax10); [ zenon_intro zenon_H9d | zenon_intro zenon_Hd4 ].
% 49.22/49.38 apply (zenon_L122_); trivial.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Had | zenon_intro zenon_Hd5 ].
% 49.22/49.38 apply (zenon_L49_); trivial.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hc6 ].
% 49.22/49.38 apply (zenon_L94_); trivial.
% 49.22/49.38 apply (zenon_L95_); trivial.
% 49.22/49.38 (* end of lemma zenon_L123_ *)
% 49.22/49.38 assert (zenon_L124_ : (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> ((op1 (e13) (e10)) = (e10)) -> (~((e12) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e11)) = (e13)) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e13)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> False).
% 49.22/49.38 do 0 intro. intros zenon_Hd6 zenon_H76 zenon_H91 zenon_H111 zenon_H99 zenon_Hdc zenon_H177 zenon_H180 zenon_He0 zenon_H9a zenon_Hea zenon_H1f zenon_Hfb zenon_H24 zenon_H57 zenon_H11d.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H92 | zenon_intro zenon_Hd7 ].
% 49.22/49.38 apply (zenon_L29_); trivial.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H95 | zenon_intro zenon_Hd8 ].
% 49.22/49.38 apply (zenon_L89_); trivial.
% 49.22/49.38 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hc8 ].
% 49.22/49.38 apply (zenon_L31_); trivial.
% 49.22/49.38 apply (zenon_L123_); trivial.
% 49.22/49.38 (* end of lemma zenon_L124_ *)
% 49.22/49.38 assert (zenon_L125_ : (((op1 (e10) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e12) (op1 (e11) (e12))) = (e12))/\((op1 (e13) (op1 (e11) (e13))) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e11)) -> ((op1 (e13) (e13)) = (e13)) -> False).
% 49.22/49.39 do 0 intro. intros zenon_Had zenon_H12b zenon_Hab zenon_H12c.
% 49.22/49.39 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hb1. zenon_intro zenon_Hb0.
% 49.22/49.39 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Hb3. zenon_intro zenon_Hb2.
% 49.22/49.39 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_Hb5. zenon_intro zenon_Hb4.
% 49.22/49.39 cut (((op1 (e13) (op1 (e11) (e13))) = (e13)) = ((op1 (e13) (e11)) = (op1 (e13) (e13)))).
% 49.22/49.39 intro zenon_D_pnotp.
% 49.22/49.39 apply zenon_H12b.
% 49.22/49.39 rewrite <- zenon_D_pnotp.
% 49.22/49.39 exact zenon_Hb4.
% 49.22/49.39 cut (((e13) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H12d].
% 49.22/49.39 cut (((op1 (e13) (op1 (e11) (e13))) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_Hb7].
% 49.22/49.39 congruence.
% 49.22/49.39 elim (classic ((op1 (e13) (e11)) = (op1 (e13) (e11)))); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hb9 ].
% 49.22/49.39 cut (((op1 (e13) (e11)) = (op1 (e13) (e11))) = ((op1 (e13) (op1 (e11) (e13))) = (op1 (e13) (e11)))).
% 49.22/49.39 intro zenon_D_pnotp.
% 49.22/49.39 apply zenon_Hb7.
% 49.22/49.39 rewrite <- zenon_D_pnotp.
% 49.22/49.39 exact zenon_Hb8.
% 49.22/49.39 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_Hb9].
% 49.22/49.39 cut (((op1 (e13) (e11)) = (op1 (e13) (op1 (e11) (e13))))); [idtac | apply NNPP; zenon_intro zenon_Haa].
% 49.22/49.39 congruence.
% 49.22/49.39 apply (zenon_L34_); trivial.
% 49.22/49.39 apply zenon_Hb9. apply refl_equal.
% 49.22/49.39 apply zenon_Hb9. apply refl_equal.
% 49.22/49.39 apply zenon_H12d. apply sym_equal. exact zenon_H12c.
% 49.22/49.39 (* end of lemma zenon_L125_ *)
% 49.22/49.39 assert (zenon_L126_ : ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e13)) = (e13)) -> ((op1 (e11) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e13) (e13)) = (e12)) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> False).
% 49.22/49.39 do 0 intro. intros zenon_H177 zenon_H13a zenon_H12c zenon_Hab zenon_H12b zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_Hc8 zenon_H57 zenon_H11d.
% 49.22/49.39 apply (zenon_or_s _ _ ax10); [ zenon_intro zenon_H9d | zenon_intro zenon_Hd4 ].
% 49.22/49.39 apply (zenon_L116_); trivial.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Had | zenon_intro zenon_Hd5 ].
% 49.22/49.39 apply (zenon_L125_); trivial.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hc6 ].
% 49.22/49.39 apply (zenon_L37_); trivial.
% 49.22/49.39 apply (zenon_L95_); trivial.
% 49.22/49.39 (* end of lemma zenon_L126_ *)
% 49.22/49.39 assert (zenon_L127_ : (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e11)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e12) = (e13))) -> ((op1 (e13) (e10)) = (e10)) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e13) (e13)) = (e12)) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> False).
% 49.22/49.39 do 0 intro. intros zenon_H151 zenon_H2d zenon_H146 zenon_H20 zenon_Hea zenon_H9a zenon_He0 zenon_H180 zenon_Hdc zenon_H99 zenon_H111 zenon_H91 zenon_H76 zenon_Hd6 zenon_H177 zenon_H13a zenon_Hab zenon_H12b zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_Hc8 zenon_H57 zenon_H11d.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H8c | zenon_intro zenon_H152 ].
% 49.22/49.39 apply (zenon_L121_); trivial.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H145 | zenon_intro zenon_H153 ].
% 49.22/49.39 apply (zenon_L93_); trivial.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_Hfb | zenon_intro zenon_H12c ].
% 49.22/49.39 apply (zenon_L124_); trivial.
% 49.22/49.39 apply (zenon_L126_); trivial.
% 49.22/49.39 (* end of lemma zenon_L127_ *)
% 49.22/49.39 assert (zenon_L128_ : ((op1 (e13) (e13)) = (e13)) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e13) (e13)) = (e12)) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> False).
% 49.22/49.39 do 0 intro. intros zenon_H12c zenon_H177 zenon_H13a zenon_Hde zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_Hc8 zenon_H57 zenon_H11d.
% 49.22/49.39 apply (zenon_or_s _ _ ax10); [ zenon_intro zenon_H9d | zenon_intro zenon_Hd4 ].
% 49.22/49.39 apply (zenon_L116_); trivial.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Had | zenon_intro zenon_Hd5 ].
% 49.22/49.39 apply (zenon_L75_); trivial.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hc6 ].
% 49.22/49.39 apply (zenon_L37_); trivial.
% 49.22/49.39 apply (zenon_L95_); trivial.
% 49.22/49.39 (* end of lemma zenon_L128_ *)
% 49.22/49.39 assert (zenon_L129_ : (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e11)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e12) = (e13))) -> ((op1 (e13) (e10)) = (e10)) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e13) (e13)) = (e12)) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> False).
% 49.22/49.39 do 0 intro. intros zenon_H151 zenon_H2d zenon_H146 zenon_H20 zenon_Hea zenon_H9a zenon_He0 zenon_H180 zenon_Hdc zenon_H99 zenon_H111 zenon_H91 zenon_H76 zenon_Hd6 zenon_H177 zenon_H13a zenon_Hde zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_Hc8 zenon_H57 zenon_H11d.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H8c | zenon_intro zenon_H152 ].
% 49.22/49.39 apply (zenon_L121_); trivial.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H145 | zenon_intro zenon_H153 ].
% 49.22/49.39 apply (zenon_L93_); trivial.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_Hfb | zenon_intro zenon_H12c ].
% 49.22/49.39 apply (zenon_L124_); trivial.
% 49.22/49.39 apply (zenon_L128_); trivial.
% 49.22/49.39 (* end of lemma zenon_L129_ *)
% 49.22/49.39 assert (zenon_L130_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> ((op1 (e13) (e10)) = (e10)) -> (~((e12) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((e10) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e13) (e13)) = (e12)) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> False).
% 49.22/49.39 do 0 intro. intros zenon_H135 zenon_H3a zenon_Hd6 zenon_H76 zenon_H91 zenon_H111 zenon_H99 zenon_H180 zenon_He0 zenon_H9a zenon_Hea zenon_H20 zenon_H146 zenon_H2d zenon_H151 zenon_H177 zenon_H13a zenon_Hde zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_Hc8 zenon_H57 zenon_H11d.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H39 | zenon_intro zenon_H136 ].
% 49.22/49.39 apply (zenon_L8_); trivial.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hdc | zenon_intro zenon_H137 ].
% 49.22/49.39 apply (zenon_L129_); trivial.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Haf | zenon_intro zenon_H12c ].
% 49.22/49.39 apply (zenon_L67_); trivial.
% 49.22/49.39 apply (zenon_L128_); trivial.
% 49.22/49.39 (* end of lemma zenon_L130_ *)
% 49.22/49.39 assert (zenon_L131_ : (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e11)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> ((op1 (e13) (e13)) = (e12)) -> ((op1 (e12) (e11)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e10)) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e12) = (e13))) -> ((op1 (e13) (e10)) = (e10)) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> False).
% 49.22/49.39 do 0 intro. intros zenon_H182 zenon_H8b zenon_H12b zenon_Hdc zenon_H11d zenon_H57 zenon_Hc8 zenon_Hbe zenon_H6c zenon_H13a zenon_H177 zenon_H151 zenon_H2d zenon_Hea zenon_H9a zenon_He0 zenon_H180 zenon_H99 zenon_H111 zenon_H91 zenon_H76 zenon_Hd6 zenon_H3a zenon_H135 zenon_H24 zenon_H1f zenon_H20 zenon_H146.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_He7 | zenon_intro zenon_H183 ].
% 49.22/49.39 apply (zenon_L120_); trivial.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_Hab | zenon_intro zenon_H184 ].
% 49.22/49.39 apply (zenon_L127_); trivial.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hde | zenon_intro zenon_H145 ].
% 49.22/49.39 apply (zenon_L130_); trivial.
% 49.22/49.39 apply (zenon_L93_); trivial.
% 49.22/49.39 (* end of lemma zenon_L131_ *)
% 49.22/49.39 assert (zenon_L132_ : ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e12) (e13)) = (e13)) -> ((op1 (e12) (e12)) = (e13)) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> False).
% 49.22/49.39 do 0 intro. intros zenon_H24 zenon_Hfb zenon_H89 zenon_H20 zenon_H185.
% 49.22/49.39 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_Hd1 | zenon_intro zenon_Hd2 ].
% 49.22/49.39 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((op1 (e11) (e13)) = (op1 (e12) (e13)))).
% 49.22/49.39 intro zenon_D_pnotp.
% 49.22/49.39 apply zenon_H185.
% 49.22/49.39 rewrite <- zenon_D_pnotp.
% 49.22/49.39 exact zenon_Hd1.
% 49.22/49.39 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hd2].
% 49.22/49.39 cut (((op1 (e12) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H186].
% 49.22/49.39 congruence.
% 49.22/49.39 cut (((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) = ((op1 (e12) (e13)) = (op1 (e11) (e13)))).
% 49.22/49.39 intro zenon_D_pnotp.
% 49.22/49.39 apply zenon_H186.
% 49.22/49.39 rewrite <- zenon_D_pnotp.
% 49.22/49.39 exact zenon_H24.
% 49.22/49.39 cut (((op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12))) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H88].
% 49.22/49.39 cut (((e13) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hfc].
% 49.22/49.39 congruence.
% 49.22/49.39 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_Hd1 | zenon_intro zenon_Hd2 ].
% 49.22/49.39 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((e13) = (op1 (e12) (e13)))).
% 49.22/49.39 intro zenon_D_pnotp.
% 49.22/49.39 apply zenon_Hfc.
% 49.22/49.39 rewrite <- zenon_D_pnotp.
% 49.22/49.39 exact zenon_Hd1.
% 49.22/49.39 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hd2].
% 49.22/49.39 cut (((op1 (e12) (e13)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H14c].
% 49.22/49.39 congruence.
% 49.22/49.39 exact (zenon_H14c zenon_Hfb).
% 49.22/49.39 apply zenon_Hd2. apply refl_equal.
% 49.22/49.39 apply zenon_Hd2. apply refl_equal.
% 49.22/49.39 apply (zenon_L27_); trivial.
% 49.22/49.39 apply zenon_Hd2. apply refl_equal.
% 49.22/49.39 apply zenon_Hd2. apply refl_equal.
% 49.22/49.39 (* end of lemma zenon_L132_ *)
% 49.22/49.39 assert (zenon_L133_ : (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e13))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e12) (e12)) = (e13)) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> False).
% 49.22/49.39 do 0 intro. intros zenon_H151 zenon_H2d zenon_H177 zenon_H146 zenon_H1f zenon_H185 zenon_H24 zenon_H89 zenon_H20 zenon_H15a.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H8c | zenon_intro zenon_H152 ].
% 49.22/49.39 apply (zenon_L121_); trivial.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H145 | zenon_intro zenon_H153 ].
% 49.22/49.39 apply (zenon_L93_); trivial.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_Hfb | zenon_intro zenon_H12c ].
% 49.22/49.39 apply (zenon_L132_); trivial.
% 49.22/49.39 apply (zenon_L104_); trivial.
% 49.22/49.39 (* end of lemma zenon_L133_ *)
% 49.22/49.39 assert (zenon_L134_ : ((op1 (e13) (e11)) = (e13)) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e13)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e12)) -> False).
% 49.22/49.39 do 0 intro. intros zenon_Hdc zenon_H177 zenon_H180 zenon_H11d zenon_H57 zenon_Hde zenon_Hea zenon_H1f zenon_Hfb zenon_H24 zenon_H117 zenon_H9b.
% 49.22/49.39 apply (zenon_or_s _ _ ax10); [ zenon_intro zenon_H9d | zenon_intro zenon_Hd4 ].
% 49.22/49.39 apply (zenon_L122_); trivial.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Had | zenon_intro zenon_Hd5 ].
% 49.22/49.39 apply (zenon_L75_); trivial.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hc6 ].
% 49.22/49.39 apply (zenon_L94_); trivial.
% 49.22/49.39 apply (zenon_L76_); trivial.
% 49.22/49.39 (* end of lemma zenon_L134_ *)
% 49.22/49.39 assert (zenon_L135_ : ((op1 (e13) (e13)) = (e13)) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e12)) -> False).
% 49.22/49.39 do 0 intro. intros zenon_H12c zenon_H177 zenon_H13a zenon_H11d zenon_H57 zenon_Hde zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_H117 zenon_H9b.
% 49.22/49.39 apply (zenon_or_s _ _ ax10); [ zenon_intro zenon_H9d | zenon_intro zenon_Hd4 ].
% 49.22/49.39 apply (zenon_L116_); trivial.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Had | zenon_intro zenon_Hd5 ].
% 49.22/49.39 apply (zenon_L75_); trivial.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hc6 ].
% 49.22/49.39 apply (zenon_L37_); trivial.
% 49.22/49.39 apply (zenon_L76_); trivial.
% 49.22/49.39 (* end of lemma zenon_L135_ *)
% 49.22/49.39 assert (zenon_L136_ : (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e11)) = (e13)) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e12)) -> False).
% 49.22/49.39 do 0 intro. intros zenon_H151 zenon_H2d zenon_H146 zenon_H20 zenon_Hea zenon_H180 zenon_Hdc zenon_H177 zenon_H13a zenon_H11d zenon_H57 zenon_Hde zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_H117 zenon_H9b.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H8c | zenon_intro zenon_H152 ].
% 49.22/49.39 apply (zenon_L121_); trivial.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H145 | zenon_intro zenon_H153 ].
% 49.22/49.39 apply (zenon_L93_); trivial.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_Hfb | zenon_intro zenon_H12c ].
% 49.22/49.39 apply (zenon_L134_); trivial.
% 49.22/49.39 apply (zenon_L135_); trivial.
% 49.22/49.39 (* end of lemma zenon_L136_ *)
% 49.22/49.39 assert (zenon_L137_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((e10) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e12)) -> False).
% 49.22/49.39 do 0 intro. intros zenon_H135 zenon_H3a zenon_H180 zenon_Hea zenon_H20 zenon_H146 zenon_H2d zenon_H151 zenon_H177 zenon_H13a zenon_H11d zenon_H57 zenon_Hde zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_H117 zenon_H9b.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H39 | zenon_intro zenon_H136 ].
% 49.22/49.39 apply (zenon_L8_); trivial.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hdc | zenon_intro zenon_H137 ].
% 49.22/49.39 apply (zenon_L136_); trivial.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Haf | zenon_intro zenon_H12c ].
% 49.22/49.39 apply (zenon_L67_); trivial.
% 49.22/49.39 apply (zenon_L135_); trivial.
% 49.22/49.39 (* end of lemma zenon_L137_ *)
% 49.22/49.39 assert (zenon_L138_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((e11) = (e13))) -> ((op1 (e10) (e11)) = (e11)) -> (~((e12) = (e13))) -> ((op1 (e10) (e12)) = (e12)) -> ((op1 (e10) (e13)) = (e10)) -> (~((e10) = (e13))) -> False).
% 49.22/49.39 do 0 intro. intros zenon_H113 zenon_H20 zenon_H1f zenon_H24 zenon_H23 zenon_H58 zenon_H4e zenon_H111 zenon_He4 zenon_H177 zenon_H2d.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H25 | zenon_intro zenon_H114 ].
% 49.22/49.39 apply (zenon_L4_); trivial.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H54 | zenon_intro zenon_H115 ].
% 49.22/49.39 apply (zenon_L113_); trivial.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H57 | zenon_intro zenon_H8c ].
% 49.22/49.39 apply (zenon_L69_); trivial.
% 49.22/49.39 apply (zenon_L121_); trivial.
% 49.22/49.39 (* end of lemma zenon_L138_ *)
% 49.22/49.39 assert (zenon_L139_ : (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e10) (e10)) = (e12)) -> ((op1 (e11) (e11)) = (e10)) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> ((op1 (e10) (e11)) = (e11)) -> (~((e11) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e12) = (e13))) -> ((op1 (e13) (e10)) = (e10)) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((e10) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> False).
% 49.22/49.39 do 0 intro. intros zenon_H160 zenon_H72 zenon_H60 zenon_H182 zenon_H8b zenon_H12b zenon_Hae zenon_H154 zenon_H7b zenon_H10b zenon_H4e zenon_H58 zenon_H23 zenon_H113 zenon_He0 zenon_H99 zenon_H111 zenon_H91 zenon_H76 zenon_Hd6 zenon_H142 zenon_H11e zenon_H3a zenon_H135 zenon_H63 zenon_Hfd zenon_H33 zenon_H6c zenon_H13a zenon_H15a zenon_H20 zenon_H185 zenon_H146 zenon_H2d zenon_H151 zenon_H177 zenon_H180 zenon_H11d zenon_H57 zenon_Hea zenon_H1f zenon_H24 zenon_H117.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H73 | zenon_intro zenon_H167 ].
% 49.22/49.39 apply (zenon_L23_); trivial.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H75 | zenon_intro zenon_H168 ].
% 49.22/49.39 apply (zenon_L24_); trivial.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H9a | zenon_intro zenon_Hde ].
% 49.22/49.39 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ].
% 49.22/49.39 apply (zenon_L113_); trivial.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ].
% 49.22/49.39 apply (zenon_L25_); trivial.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ].
% 49.22/49.39 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H92 | zenon_intro zenon_Hd7 ].
% 49.22/49.39 apply (zenon_L29_); trivial.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H95 | zenon_intro zenon_Hd8 ].
% 49.22/49.39 apply (zenon_L119_); trivial.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hc8 ].
% 49.22/49.39 apply (zenon_L31_); trivial.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H39 | zenon_intro zenon_H136 ].
% 49.22/49.39 apply (zenon_L8_); trivial.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hdc | zenon_intro zenon_H137 ].
% 49.22/49.39 apply (zenon_L131_); trivial.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Haf | zenon_intro zenon_H12c ].
% 49.22/49.39 apply (zenon_L67_); trivial.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_He7 | zenon_intro zenon_H183 ].
% 49.22/49.39 apply (zenon_L120_); trivial.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_Hab | zenon_intro zenon_H184 ].
% 49.22/49.39 apply (zenon_L126_); trivial.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hde | zenon_intro zenon_H145 ].
% 49.22/49.39 apply (zenon_L128_); trivial.
% 49.22/49.39 apply (zenon_L93_); trivial.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hfe ].
% 49.22/49.39 apply (zenon_L7_); trivial.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hff ].
% 49.22/49.39 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H92 | zenon_intro zenon_Hd7 ].
% 49.22/49.39 apply (zenon_L29_); trivial.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H95 | zenon_intro zenon_Hd8 ].
% 49.22/49.39 apply (zenon_L117_); trivial.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hc8 ].
% 49.22/49.39 apply (zenon_L31_); trivial.
% 49.22/49.39 apply (zenon_L131_); trivial.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H89 | zenon_intro zenon_Hfb ].
% 49.22/49.39 apply (zenon_L133_); trivial.
% 49.22/49.39 apply (zenon_L124_); trivial.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ].
% 49.22/49.39 apply (zenon_L113_); trivial.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ].
% 49.22/49.39 apply (zenon_L25_); trivial.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ].
% 49.22/49.39 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_He4 | zenon_intro zenon_H10c ].
% 49.22/49.39 apply (zenon_L69_); trivial.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H9a | zenon_intro zenon_H10d ].
% 49.22/49.39 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H92 | zenon_intro zenon_Hd7 ].
% 49.22/49.39 apply (zenon_L29_); trivial.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H95 | zenon_intro zenon_Hd8 ].
% 49.22/49.39 apply (zenon_L117_); trivial.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hc8 ].
% 49.22/49.39 apply (zenon_L137_); trivial.
% 49.22/49.39 apply (zenon_L130_); trivial.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H101 | zenon_intro zenon_H9b ].
% 49.22/49.39 apply (zenon_L57_); trivial.
% 49.22/49.39 apply (zenon_L137_); trivial.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_He4 | zenon_intro zenon_H10c ].
% 49.22/49.39 apply (zenon_L138_); trivial.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H9a | zenon_intro zenon_H10d ].
% 49.22/49.39 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hfe ].
% 49.22/49.39 apply (zenon_L7_); trivial.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hff ].
% 49.22/49.39 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H92 | zenon_intro zenon_Hd7 ].
% 49.22/49.39 apply (zenon_L29_); trivial.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H95 | zenon_intro zenon_Hd8 ].
% 49.22/49.39 apply (zenon_L117_); trivial.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hc8 ].
% 49.22/49.39 apply (zenon_L31_); trivial.
% 49.22/49.39 apply (zenon_L129_); trivial.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H89 | zenon_intro zenon_Hfb ].
% 49.22/49.39 apply (zenon_L133_); trivial.
% 49.22/49.39 apply (zenon_L124_); trivial.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H101 | zenon_intro zenon_H9b ].
% 49.22/49.39 apply (zenon_L57_); trivial.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hfe ].
% 49.22/49.39 apply (zenon_L7_); trivial.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hff ].
% 49.22/49.39 apply (zenon_L136_); trivial.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H89 | zenon_intro zenon_Hfb ].
% 49.22/49.39 apply (zenon_L133_); trivial.
% 49.22/49.39 apply (zenon_L134_); trivial.
% 49.22/49.39 (* end of lemma zenon_L139_ *)
% 49.22/49.39 assert (zenon_L140_ : (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e10)) -> False).
% 49.22/49.39 do 0 intro. intros zenon_H187 zenon_H1f zenon_H188.
% 49.22/49.39 cut (((e10) = (op1 (e12) (e12))) = ((op1 (e12) (e11)) = (op1 (e12) (e12)))).
% 49.22/49.39 intro zenon_D_pnotp.
% 49.22/49.39 apply zenon_H187.
% 49.22/49.39 rewrite <- zenon_D_pnotp.
% 49.22/49.39 exact zenon_H1f.
% 49.22/49.39 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 49.22/49.39 cut (((e10) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H189].
% 49.22/49.39 congruence.
% 49.22/49.39 elim (classic ((op1 (e12) (e11)) = (op1 (e12) (e11)))); [ zenon_intro zenon_H6d | zenon_intro zenon_H6e ].
% 49.22/49.39 cut (((op1 (e12) (e11)) = (op1 (e12) (e11))) = ((e10) = (op1 (e12) (e11)))).
% 49.22/49.39 intro zenon_D_pnotp.
% 49.22/49.39 apply zenon_H189.
% 49.22/49.39 rewrite <- zenon_D_pnotp.
% 49.22/49.39 exact zenon_H6d.
% 49.22/49.39 cut (((op1 (e12) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H6e].
% 49.22/49.39 cut (((op1 (e12) (e11)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H18a].
% 49.22/49.39 congruence.
% 49.22/49.39 exact (zenon_H18a zenon_H188).
% 49.22/49.39 apply zenon_H6e. apply refl_equal.
% 49.22/49.39 apply zenon_H6e. apply refl_equal.
% 49.22/49.39 apply zenon_H45. apply refl_equal.
% 49.22/49.39 (* end of lemma zenon_L140_ *)
% 49.22/49.39 assert (zenon_L141_ : (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e10)) = (e10)) -> ((op1 (e13) (e11)) = (e10)) -> False).
% 49.22/49.39 do 0 intro. intros zenon_H180 zenon_H91 zenon_H18b.
% 49.22/49.39 cut (((op1 (e13) (e10)) = (e10)) = ((op1 (e13) (e10)) = (op1 (e13) (e11)))).
% 49.22/49.39 intro zenon_D_pnotp.
% 49.22/49.39 apply zenon_H180.
% 49.22/49.39 rewrite <- zenon_D_pnotp.
% 49.22/49.39 exact zenon_H91.
% 49.22/49.39 cut (((e10) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H18c].
% 49.22/49.39 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H3c].
% 49.22/49.39 congruence.
% 49.22/49.39 apply zenon_H3c. apply refl_equal.
% 49.22/49.39 apply zenon_H18c. apply sym_equal. exact zenon_H18b.
% 49.22/49.39 (* end of lemma zenon_L141_ *)
% 49.22/49.39 assert (zenon_L142_ : ((op1 (e10) (e11)) = (e11)) -> ((op1 (e10) (e11)) = (e12)) -> (~((e11) = (e12))) -> False).
% 49.22/49.39 do 0 intro. intros zenon_H4e zenon_H10e zenon_H96.
% 49.22/49.39 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H77 | zenon_intro zenon_H48 ].
% 49.22/49.39 cut (((e12) = (e12)) = ((e11) = (e12))).
% 49.22/49.39 intro zenon_D_pnotp.
% 49.22/49.39 apply zenon_H96.
% 49.22/49.39 rewrite <- zenon_D_pnotp.
% 49.22/49.39 exact zenon_H77.
% 49.22/49.39 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H48].
% 49.22/49.39 cut (((e12) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H97].
% 49.22/49.39 congruence.
% 49.22/49.39 cut (((op1 (e10) (e11)) = (e11)) = ((e12) = (e11))).
% 49.22/49.39 intro zenon_D_pnotp.
% 49.22/49.39 apply zenon_H97.
% 49.22/49.39 rewrite <- zenon_D_pnotp.
% 49.22/49.39 exact zenon_H4e.
% 49.22/49.39 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H51].
% 49.22/49.39 cut (((op1 (e10) (e11)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H10f].
% 49.22/49.39 congruence.
% 49.22/49.39 exact (zenon_H10f zenon_H10e).
% 49.22/49.39 apply zenon_H51. apply refl_equal.
% 49.22/49.39 apply zenon_H48. apply refl_equal.
% 49.22/49.39 apply zenon_H48. apply refl_equal.
% 49.22/49.39 (* end of lemma zenon_L142_ *)
% 49.22/49.39 assert (zenon_L143_ : ((op1 (e10) (e13)) = (e10)) -> ((op1 (e10) (e13)) = (e12)) -> (~((e10) = (e12))) -> False).
% 49.22/49.39 do 0 intro. intros zenon_H177 zenon_H110 zenon_H76.
% 49.22/49.39 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H77 | zenon_intro zenon_H48 ].
% 49.22/49.39 cut (((e12) = (e12)) = ((e10) = (e12))).
% 49.22/49.39 intro zenon_D_pnotp.
% 49.22/49.39 apply zenon_H76.
% 49.22/49.39 rewrite <- zenon_D_pnotp.
% 49.22/49.39 exact zenon_H77.
% 49.22/49.39 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H48].
% 49.22/49.39 cut (((e12) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H78].
% 49.22/49.39 congruence.
% 49.22/49.39 cut (((op1 (e10) (e13)) = (e10)) = ((e12) = (e10))).
% 49.22/49.39 intro zenon_D_pnotp.
% 49.22/49.39 apply zenon_H78.
% 49.22/49.39 rewrite <- zenon_D_pnotp.
% 49.22/49.39 exact zenon_H177.
% 49.22/49.39 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H2a].
% 49.22/49.39 cut (((op1 (e10) (e13)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H15d].
% 49.22/49.39 congruence.
% 49.22/49.39 exact (zenon_H15d zenon_H110).
% 49.22/49.39 apply zenon_H2a. apply refl_equal.
% 49.22/49.39 apply zenon_H48. apply refl_equal.
% 49.22/49.39 apply zenon_H48. apply refl_equal.
% 49.22/49.39 (* end of lemma zenon_L143_ *)
% 49.22/49.39 assert (zenon_L144_ : (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e12) (e11)) = (e13)) -> False).
% 49.22/49.39 do 0 intro. intros zenon_H18d zenon_H54 zenon_Hbe.
% 49.22/49.39 cut (((op1 (e10) (e11)) = (e13)) = ((op1 (e10) (e11)) = (op1 (e12) (e11)))).
% 49.22/49.39 intro zenon_D_pnotp.
% 49.22/49.39 apply zenon_H18d.
% 49.22/49.39 rewrite <- zenon_D_pnotp.
% 49.22/49.39 exact zenon_H54.
% 49.22/49.39 cut (((e13) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_Hc4].
% 49.22/49.39 cut (((op1 (e10) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H1b].
% 49.22/49.39 congruence.
% 49.22/49.39 apply zenon_H1b. apply refl_equal.
% 49.22/49.39 apply zenon_Hc4. apply sym_equal. exact zenon_Hbe.
% 49.22/49.39 (* end of lemma zenon_L144_ *)
% 49.22/49.39 assert (zenon_L145_ : (((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e11) (op1 (e10) (e11))) = (e11))/\(((op1 (e12) (op1 (e10) (e12))) = (e12))/\((op1 (e13) (op1 (e10) (e13))) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e13)) = (e10)) -> ((op1 (e13) (e12)) = (e13)) -> False).
% 49.22/49.39 do 0 intro. intros zenon_H9d zenon_H18e zenon_H177 zenon_Haf.
% 49.22/49.39 apply (zenon_and_s _ _ zenon_H9d). zenon_intro zenon_Ha0. zenon_intro zenon_H9f.
% 49.22/49.39 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_Ha2. zenon_intro zenon_Ha1.
% 49.22/49.39 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_Ha4. zenon_intro zenon_Ha3.
% 49.22/49.39 cut (((op1 (e13) (op1 (e10) (e13))) = (e13)) = ((op1 (e13) (e10)) = (op1 (e13) (e12)))).
% 49.22/49.39 intro zenon_D_pnotp.
% 49.22/49.39 apply zenon_H18e.
% 49.22/49.39 rewrite <- zenon_D_pnotp.
% 49.22/49.39 exact zenon_Ha3.
% 49.22/49.39 cut (((e13) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_Hb6].
% 49.22/49.39 cut (((op1 (e13) (op1 (e10) (e13))) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H17f].
% 49.22/49.39 congruence.
% 49.22/49.39 elim (classic ((op1 (e13) (e10)) = (op1 (e13) (e10)))); [ zenon_intro zenon_H3b | zenon_intro zenon_H3c ].
% 49.22/49.39 cut (((op1 (e13) (e10)) = (op1 (e13) (e10))) = ((op1 (e13) (op1 (e10) (e13))) = (op1 (e13) (e10)))).
% 49.22/49.39 intro zenon_D_pnotp.
% 49.22/49.39 apply zenon_H17f.
% 49.22/49.39 rewrite <- zenon_D_pnotp.
% 49.22/49.39 exact zenon_H3b.
% 49.22/49.39 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H3c].
% 49.22/49.39 cut (((op1 (e13) (e10)) = (op1 (e13) (op1 (e10) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H17d].
% 49.22/49.39 congruence.
% 49.22/49.39 apply (zenon_L115_); trivial.
% 49.22/49.39 apply zenon_H3c. apply refl_equal.
% 49.22/49.39 apply zenon_H3c. apply refl_equal.
% 49.22/49.39 apply zenon_Hb6. apply sym_equal. exact zenon_Haf.
% 49.22/49.39 (* end of lemma zenon_L145_ *)
% 49.22/49.39 assert (zenon_L146_ : ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e13)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e12)) = (e13)) -> ((op1 (e13) (e13)) = (e12)) -> False).
% 49.22/49.39 do 0 intro. intros zenon_H177 zenon_H18e zenon_Hab zenon_Hae zenon_Hea zenon_H1f zenon_Hfb zenon_H24 zenon_Hc7 zenon_Haf zenon_Hc8.
% 49.22/49.39 apply (zenon_or_s _ _ ax10); [ zenon_intro zenon_H9d | zenon_intro zenon_Hd4 ].
% 49.22/49.39 apply (zenon_L145_); trivial.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Had | zenon_intro zenon_Hd5 ].
% 49.22/49.39 apply (zenon_L35_); trivial.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hc6 ].
% 49.22/49.39 apply (zenon_L94_); trivial.
% 49.22/49.39 apply (zenon_L38_); trivial.
% 49.22/49.39 (* end of lemma zenon_L146_ *)
% 49.22/49.39 assert (zenon_L147_ : (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> ((op1 (e13) (e10)) = (e10)) -> (~((e11) = (e12))) -> ((op1 (e13) (e11)) = (e11)) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e13)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e12)) = (e13)) -> False).
% 49.22/49.39 do 0 intro. intros zenon_Hd6 zenon_H76 zenon_H91 zenon_H96 zenon_H94 zenon_H9a zenon_H99 zenon_H177 zenon_H18e zenon_Hab zenon_Hae zenon_Hea zenon_H1f zenon_Hfb zenon_H24 zenon_Hc7 zenon_Haf.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H92 | zenon_intro zenon_Hd7 ].
% 49.22/49.39 apply (zenon_L29_); trivial.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H95 | zenon_intro zenon_Hd8 ].
% 49.22/49.39 apply (zenon_L30_); trivial.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hc8 ].
% 49.22/49.39 apply (zenon_L31_); trivial.
% 49.22/49.39 apply (zenon_L146_); trivial.
% 49.22/49.39 (* end of lemma zenon_L147_ *)
% 49.22/49.39 assert (zenon_L148_ : (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e13) (e12)) = (e13)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e12) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e13)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e11)) = (e11)) -> (~((e11) = (e12))) -> ((op1 (e13) (e10)) = (e10)) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> False).
% 49.22/49.39 do 0 intro. intros zenon_H108 zenon_He0 zenon_H56 zenon_H63 zenon_Haf zenon_Hc7 zenon_Hfb zenon_Hea zenon_Hae zenon_Hab zenon_H18e zenon_H177 zenon_H99 zenon_H94 zenon_H96 zenon_H91 zenon_H76 zenon_Hd6 zenon_H24 zenon_H1f zenon_H20 zenon_H82.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_He1 | zenon_intro zenon_H109 ].
% 49.22/49.39 apply (zenon_L44_); trivial.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H64 | zenon_intro zenon_H10a ].
% 49.22/49.39 apply (zenon_L20_); trivial.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_H9a | zenon_intro zenon_H81 ].
% 49.22/49.39 apply (zenon_L147_); trivial.
% 49.22/49.39 apply (zenon_L26_); trivial.
% 49.22/49.39 (* end of lemma zenon_L148_ *)
% 49.22/49.39 assert (zenon_L149_ : (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e12) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e13)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e11)) = (e11)) -> (~((e11) = (e12))) -> ((op1 (e13) (e10)) = (e10)) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> False).
% 49.22/49.39 do 0 intro. intros zenon_Hd9 zenon_H58 zenon_H185 zenon_H108 zenon_He0 zenon_H56 zenon_H63 zenon_Hc7 zenon_Hfb zenon_Hea zenon_Hae zenon_Hab zenon_H18e zenon_H177 zenon_H99 zenon_H94 zenon_H96 zenon_H91 zenon_H76 zenon_Hd6 zenon_H24 zenon_H1f zenon_H20 zenon_H82.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H57 | zenon_intro zenon_Hda ].
% 49.22/49.39 apply (zenon_L17_); trivial.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H81 | zenon_intro zenon_Hdb ].
% 49.22/49.39 apply (zenon_L26_); trivial.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H89 | zenon_intro zenon_Haf ].
% 49.22/49.39 apply (zenon_L132_); trivial.
% 49.22/49.39 apply (zenon_L148_); trivial.
% 49.22/49.39 (* end of lemma zenon_L149_ *)
% 49.22/49.39 assert (zenon_L150_ : (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((e10) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e13)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e11)) = (e11)) -> (~((e11) = (e12))) -> ((op1 (e13) (e10)) = (e10)) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> False).
% 49.22/49.39 do 0 intro. intros zenon_Hfd zenon_H33 zenon_H54 zenon_H18d zenon_H15a zenon_H146 zenon_H2d zenon_H151 zenon_Hd9 zenon_H58 zenon_H185 zenon_H108 zenon_He0 zenon_H56 zenon_H63 zenon_Hc7 zenon_Hea zenon_Hae zenon_Hab zenon_H18e zenon_H177 zenon_H99 zenon_H94 zenon_H96 zenon_H91 zenon_H76 zenon_Hd6 zenon_H24 zenon_H1f zenon_H20 zenon_H82.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hfe ].
% 49.22/49.39 apply (zenon_L7_); trivial.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hff ].
% 49.22/49.39 apply (zenon_L144_); trivial.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H89 | zenon_intro zenon_Hfb ].
% 49.22/49.39 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H8c | zenon_intro zenon_H152 ].
% 49.22/49.39 apply (zenon_L121_); trivial.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H145 | zenon_intro zenon_H153 ].
% 49.22/49.39 apply (zenon_L93_); trivial.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_Hfb | zenon_intro zenon_H12c ].
% 49.22/49.39 apply (zenon_L149_); trivial.
% 49.22/49.39 apply (zenon_L104_); trivial.
% 49.22/49.39 apply (zenon_L149_); trivial.
% 49.22/49.39 (* end of lemma zenon_L150_ *)
% 49.22/49.39 assert (zenon_L151_ : (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (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 (e11) (e11)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((e10) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> ((op1 (e13) (e10)) = (e10)) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> False).
% 49.22/49.39 do 0 intro. intros zenon_H15f zenon_H16c zenon_H67 zenon_H4f zenon_H60 zenon_H6c zenon_Hfd zenon_H33 zenon_H54 zenon_H18d zenon_H15a zenon_H146 zenon_H2d zenon_H151 zenon_Hd9 zenon_H58 zenon_H185 zenon_H108 zenon_He0 zenon_H56 zenon_H63 zenon_Hc7 zenon_Hea zenon_Hae zenon_H18e zenon_H177 zenon_H99 zenon_H96 zenon_H91 zenon_H76 zenon_Hd6 zenon_H24 zenon_H1f zenon_H20 zenon_H82.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H5b | zenon_intro zenon_H165 ].
% 49.22/49.39 apply (zenon_L18_); trivial.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H61 | zenon_intro zenon_H166 ].
% 49.22/49.39 apply (zenon_L19_); trivial.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H64 | zenon_intro zenon_Hab ].
% 49.22/49.39 apply (zenon_L20_); trivial.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H4e | zenon_intro zenon_H171 ].
% 49.22/49.39 apply (zenon_L21_); trivial.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H61 | zenon_intro zenon_H172 ].
% 49.22/49.39 apply (zenon_L19_); trivial.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H6b | zenon_intro zenon_H94 ].
% 49.22/49.39 apply (zenon_L22_); trivial.
% 49.22/49.39 apply (zenon_L150_); trivial.
% 49.22/49.39 (* end of lemma zenon_L151_ *)
% 49.22/49.39 assert (zenon_L152_ : ((op1 (e10) (e13)) = (e10)) -> ((op1 (e10) (e13)) = (e11)) -> (~((e10) = (e11))) -> False).
% 49.22/49.39 do 0 intro. intros zenon_H177 zenon_He6 zenon_H4f.
% 49.22/49.39 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H50 | zenon_intro zenon_H51 ].
% 49.22/49.39 cut (((e11) = (e11)) = ((e10) = (e11))).
% 49.22/49.39 intro zenon_D_pnotp.
% 49.22/49.39 apply zenon_H4f.
% 49.22/49.39 rewrite <- zenon_D_pnotp.
% 49.22/49.39 exact zenon_H50.
% 49.22/49.39 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H51].
% 49.22/49.39 cut (((e11) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H52].
% 49.22/49.39 congruence.
% 49.22/49.39 cut (((op1 (e10) (e13)) = (e10)) = ((e11) = (e10))).
% 49.22/49.39 intro zenon_D_pnotp.
% 49.22/49.39 apply zenon_H52.
% 49.22/49.39 rewrite <- zenon_D_pnotp.
% 49.22/49.39 exact zenon_H177.
% 49.22/49.39 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H2a].
% 49.22/49.39 cut (((op1 (e10) (e13)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H18f].
% 49.22/49.39 congruence.
% 49.22/49.39 exact (zenon_H18f zenon_He6).
% 49.22/49.39 apply zenon_H2a. apply refl_equal.
% 49.22/49.39 apply zenon_H51. apply refl_equal.
% 49.22/49.39 apply zenon_H51. apply refl_equal.
% 49.22/49.39 (* end of lemma zenon_L152_ *)
% 49.22/49.39 assert (zenon_L153_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((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) (e10)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (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 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e10) (e13)) = (e10)) -> (~((e10) = (e11))) -> False).
% 49.22/49.39 do 0 intro. intros zenon_H16a zenon_H178 zenon_H40 zenon_H43 zenon_H16b zenon_H4a zenon_H111 zenon_H160 zenon_H182 zenon_H8b zenon_H12b zenon_H154 zenon_H7b zenon_H10b zenon_H142 zenon_H11e zenon_H3a zenon_H135 zenon_H13a zenon_H11d zenon_H117 zenon_H15e zenon_H2d zenon_H58 zenon_H190 zenon_H17a zenon_H82 zenon_H20 zenon_H24 zenon_Hd6 zenon_H76 zenon_H96 zenon_H99 zenon_H18e zenon_Hae zenon_Hea zenon_Hc7 zenon_H63 zenon_He0 zenon_H108 zenon_H185 zenon_Hd9 zenon_H151 zenon_H146 zenon_H15a zenon_H18d zenon_H33 zenon_Hfd zenon_H6c zenon_H67 zenon_H16c zenon_H15f zenon_H1f zenon_H187 zenon_H180 zenon_H23 zenon_H113 zenon_H177 zenon_H4f.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H18 | zenon_intro zenon_H16d ].
% 49.22/49.39 apply (zenon_L112_); trivial.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H2b | zenon_intro zenon_H16e ].
% 49.22/49.39 apply (zenon_L9_); trivial.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H44 | zenon_intro zenon_H91 ].
% 49.22/49.39 apply (zenon_L10_); trivial.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H4b | zenon_intro zenon_H16f ].
% 49.22/49.39 apply (zenon_L13_); trivial.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H4e | zenon_intro zenon_H170 ].
% 49.22/49.39 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H72 | zenon_intro zenon_H162 ].
% 49.22/49.39 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H25 | zenon_intro zenon_H114 ].
% 49.22/49.39 apply (zenon_L4_); trivial.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H54 | zenon_intro zenon_H115 ].
% 49.22/49.39 apply (zenon_L113_); trivial.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H57 | zenon_intro zenon_H8c ].
% 49.22/49.39 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H17 | zenon_intro zenon_H191 ].
% 49.22/49.39 apply (zenon_L114_); trivial.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H60 | zenon_intro zenon_H192 ].
% 49.22/49.39 apply (zenon_L139_); trivial.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H188 | zenon_intro zenon_H18b ].
% 49.22/49.39 apply (zenon_L140_); trivial.
% 49.22/49.39 apply (zenon_L141_); trivial.
% 49.22/49.39 apply (zenon_L121_); trivial.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H10e | zenon_intro zenon_H169 ].
% 49.22/49.39 apply (zenon_L142_); trivial.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_He4 | zenon_intro zenon_H110 ].
% 49.22/49.39 apply (zenon_L138_); trivial.
% 49.22/49.39 apply (zenon_L143_); trivial.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H56 | zenon_intro zenon_He6 ].
% 49.22/49.39 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H25 | zenon_intro zenon_H114 ].
% 49.22/49.39 apply (zenon_L4_); trivial.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H54 | zenon_intro zenon_H115 ].
% 49.22/49.39 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H17 | zenon_intro zenon_H191 ].
% 49.22/49.39 apply (zenon_L114_); trivial.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H60 | zenon_intro zenon_H192 ].
% 49.22/49.39 apply (zenon_L151_); trivial.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H188 | zenon_intro zenon_H18b ].
% 49.22/49.39 apply (zenon_L140_); trivial.
% 49.22/49.39 apply (zenon_L141_); trivial.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H57 | zenon_intro zenon_H8c ].
% 49.22/49.39 apply (zenon_L17_); trivial.
% 49.22/49.39 apply (zenon_L121_); trivial.
% 49.22/49.39 apply (zenon_L152_); trivial.
% 49.22/49.39 (* end of lemma zenon_L153_ *)
% 49.22/49.39 assert (zenon_L154_ : ((op2 (e20) (e21)) = (e20)) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> False).
% 49.22/49.39 do 0 intro. intros zenon_H193 zenon_H194 zenon_H195.
% 49.22/49.39 elim (classic ((op2 (e20) (e21)) = (op2 (e20) (e21)))); [ zenon_intro zenon_H196 | zenon_intro zenon_H197 ].
% 49.22/49.39 cut (((op2 (e20) (e21)) = (op2 (e20) (e21))) = ((op2 (e20) (e20)) = (op2 (e20) (e21)))).
% 49.22/49.39 intro zenon_D_pnotp.
% 49.22/49.39 apply zenon_H195.
% 49.22/49.39 rewrite <- zenon_D_pnotp.
% 49.22/49.39 exact zenon_H196.
% 49.22/49.39 cut (((op2 (e20) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H197].
% 49.22/49.39 cut (((op2 (e20) (e21)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H198].
% 49.22/49.39 congruence.
% 49.22/49.39 cut (((op2 (e20) (e21)) = (e20)) = ((op2 (e20) (e21)) = (op2 (e20) (e20)))).
% 49.22/49.39 intro zenon_D_pnotp.
% 49.22/49.39 apply zenon_H198.
% 49.22/49.39 rewrite <- zenon_D_pnotp.
% 49.22/49.39 exact zenon_H193.
% 49.22/49.39 cut (((e20) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H199].
% 49.22/49.39 cut (((op2 (e20) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H197].
% 49.22/49.39 congruence.
% 49.22/49.39 apply zenon_H197. apply refl_equal.
% 49.22/49.39 apply zenon_H199. apply sym_equal. exact zenon_H194.
% 49.22/49.39 apply zenon_H197. apply refl_equal.
% 49.22/49.39 apply zenon_H197. apply refl_equal.
% 49.22/49.39 (* end of lemma zenon_L154_ *)
% 49.22/49.39 assert (zenon_L155_ : (~((op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22))) = (op2 (e21) (e20)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> False).
% 49.22/49.39 do 0 intro. intros zenon_H19a zenon_H14 zenon_H19b.
% 49.22/49.39 cut (((op2 (e22) (e22)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H15].
% 49.22/49.39 cut (((op2 (e22) (op2 (e22) (e22))) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H19c].
% 49.22/49.39 congruence.
% 49.22/49.39 apply zenon_H19c. apply sym_equal. exact zenon_H19b.
% 49.22/49.39 apply zenon_H15. apply sym_equal. exact zenon_H14.
% 49.22/49.39 (* end of lemma zenon_L155_ *)
% 49.22/49.39 assert (zenon_L156_ : (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e20) (e20)) = (e23)) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> False).
% 49.22/49.39 do 0 intro. intros zenon_H19d zenon_H19e zenon_H19f zenon_H14 zenon_H19b.
% 49.22/49.39 cut (((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) = ((op2 (e20) (e20)) = (op2 (e21) (e20)))).
% 49.22/49.39 intro zenon_D_pnotp.
% 49.22/49.39 apply zenon_H19d.
% 49.22/49.39 rewrite <- zenon_D_pnotp.
% 49.22/49.39 exact zenon_H19e.
% 49.22/49.39 cut (((op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22))) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H19a].
% 49.22/49.39 cut (((e23) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1a0].
% 49.22/49.39 congruence.
% 49.22/49.39 elim (classic ((op2 (e20) (e20)) = (op2 (e20) (e20)))); [ zenon_intro zenon_H1a1 | zenon_intro zenon_H1a2 ].
% 49.22/49.39 cut (((op2 (e20) (e20)) = (op2 (e20) (e20))) = ((e23) = (op2 (e20) (e20)))).
% 49.22/49.39 intro zenon_D_pnotp.
% 49.22/49.39 apply zenon_H1a0.
% 49.22/49.39 rewrite <- zenon_D_pnotp.
% 49.22/49.39 exact zenon_H1a1.
% 49.22/49.39 cut (((op2 (e20) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1a2].
% 49.22/49.39 cut (((op2 (e20) (e20)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1a3].
% 49.22/49.39 congruence.
% 49.22/49.39 exact (zenon_H1a3 zenon_H19f).
% 49.22/49.39 apply zenon_H1a2. apply refl_equal.
% 49.22/49.39 apply zenon_H1a2. apply refl_equal.
% 49.22/49.39 apply (zenon_L155_); trivial.
% 49.22/49.39 (* end of lemma zenon_L156_ *)
% 49.22/49.39 assert (zenon_L157_ : (~((e20) = (e20))) -> False).
% 49.22/49.39 do 0 intro. intros zenon_H1a4.
% 49.22/49.39 apply zenon_H1a4. apply refl_equal.
% 49.22/49.39 (* end of lemma zenon_L157_ *)
% 49.22/49.39 assert (zenon_L158_ : ((op2 (e21) (e20)) = (e20)) -> ((op2 (e21) (e20)) = (e23)) -> (~((e20) = (e23))) -> False).
% 49.22/49.39 do 0 intro. intros zenon_H1a5 zenon_H1a6 zenon_H1a7.
% 49.22/49.39 elim (classic ((e23) = (e23))); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H1a9 ].
% 49.22/49.39 cut (((e23) = (e23)) = ((e20) = (e23))).
% 49.22/49.39 intro zenon_D_pnotp.
% 49.22/49.39 apply zenon_H1a7.
% 49.22/49.39 rewrite <- zenon_D_pnotp.
% 49.22/49.39 exact zenon_H1a8.
% 49.22/49.39 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1a9].
% 49.22/49.39 cut (((e23) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H1aa].
% 49.22/49.39 congruence.
% 49.22/49.39 cut (((op2 (e21) (e20)) = (e20)) = ((e23) = (e20))).
% 49.22/49.39 intro zenon_D_pnotp.
% 49.22/49.39 apply zenon_H1aa.
% 49.22/49.39 rewrite <- zenon_D_pnotp.
% 49.22/49.39 exact zenon_H1a5.
% 49.22/49.39 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H1a4].
% 49.22/49.39 cut (((op2 (e21) (e20)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1ab].
% 49.22/49.39 congruence.
% 49.22/49.39 exact (zenon_H1ab zenon_H1a6).
% 49.22/49.39 apply zenon_H1a4. apply refl_equal.
% 49.22/49.39 apply zenon_H1a9. apply refl_equal.
% 49.22/49.39 apply zenon_H1a9. apply refl_equal.
% 49.22/49.39 (* end of lemma zenon_L158_ *)
% 49.22/49.39 assert (zenon_L159_ : ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e22) (e20)) = (e23)) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> False).
% 49.22/49.39 do 0 intro. intros zenon_H19e zenon_H1ac zenon_H14 zenon_H19b zenon_H1ad.
% 49.22/49.39 elim (classic ((op2 (e22) (e20)) = (op2 (e22) (e20)))); [ zenon_intro zenon_H1ae | zenon_intro zenon_H1af ].
% 49.22/49.39 cut (((op2 (e22) (e20)) = (op2 (e22) (e20))) = ((op2 (e21) (e20)) = (op2 (e22) (e20)))).
% 49.22/49.39 intro zenon_D_pnotp.
% 49.22/49.39 apply zenon_H1ad.
% 49.22/49.39 rewrite <- zenon_D_pnotp.
% 49.22/49.39 exact zenon_H1ae.
% 49.22/49.39 cut (((op2 (e22) (e20)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1af].
% 49.22/49.39 cut (((op2 (e22) (e20)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1b0].
% 49.22/49.39 congruence.
% 49.22/49.39 cut (((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) = ((op2 (e22) (e20)) = (op2 (e21) (e20)))).
% 49.22/49.39 intro zenon_D_pnotp.
% 49.22/49.39 apply zenon_H1b0.
% 49.22/49.39 rewrite <- zenon_D_pnotp.
% 49.22/49.39 exact zenon_H19e.
% 49.22/49.39 cut (((op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22))) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H19a].
% 49.22/49.39 cut (((e23) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1b1].
% 49.22/49.39 congruence.
% 49.22/49.39 elim (classic ((op2 (e22) (e20)) = (op2 (e22) (e20)))); [ zenon_intro zenon_H1ae | zenon_intro zenon_H1af ].
% 49.22/49.39 cut (((op2 (e22) (e20)) = (op2 (e22) (e20))) = ((e23) = (op2 (e22) (e20)))).
% 49.22/49.39 intro zenon_D_pnotp.
% 49.22/49.39 apply zenon_H1b1.
% 49.22/49.39 rewrite <- zenon_D_pnotp.
% 49.22/49.39 exact zenon_H1ae.
% 49.22/49.39 cut (((op2 (e22) (e20)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1af].
% 49.22/49.39 cut (((op2 (e22) (e20)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1b2].
% 49.22/49.39 congruence.
% 49.22/49.39 exact (zenon_H1b2 zenon_H1ac).
% 49.22/49.39 apply zenon_H1af. apply refl_equal.
% 49.22/49.39 apply zenon_H1af. apply refl_equal.
% 49.22/49.39 apply (zenon_L155_); trivial.
% 49.22/49.39 apply zenon_H1af. apply refl_equal.
% 49.22/49.39 apply zenon_H1af. apply refl_equal.
% 49.22/49.39 (* end of lemma zenon_L159_ *)
% 49.22/49.39 assert (zenon_L160_ : ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e23) (e20)) = (e23)) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False).
% 49.22/49.39 do 0 intro. intros zenon_H19e zenon_H1b3 zenon_H14 zenon_H19b zenon_H1b4.
% 49.22/49.39 elim (classic ((op2 (e23) (e20)) = (op2 (e23) (e20)))); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1b6 ].
% 49.22/49.39 cut (((op2 (e23) (e20)) = (op2 (e23) (e20))) = ((op2 (e21) (e20)) = (op2 (e23) (e20)))).
% 49.22/49.39 intro zenon_D_pnotp.
% 49.22/49.39 apply zenon_H1b4.
% 49.22/49.39 rewrite <- zenon_D_pnotp.
% 49.22/49.39 exact zenon_H1b5.
% 49.22/49.39 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1b6].
% 49.22/49.39 cut (((op2 (e23) (e20)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1b7].
% 49.22/49.39 congruence.
% 49.22/49.39 cut (((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) = ((op2 (e23) (e20)) = (op2 (e21) (e20)))).
% 49.22/49.39 intro zenon_D_pnotp.
% 49.22/49.39 apply zenon_H1b7.
% 49.22/49.39 rewrite <- zenon_D_pnotp.
% 49.22/49.39 exact zenon_H19e.
% 49.22/49.39 cut (((op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22))) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H19a].
% 49.22/49.39 cut (((e23) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1b8].
% 49.22/49.39 congruence.
% 49.22/49.39 elim (classic ((op2 (e23) (e20)) = (op2 (e23) (e20)))); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1b6 ].
% 49.22/49.39 cut (((op2 (e23) (e20)) = (op2 (e23) (e20))) = ((e23) = (op2 (e23) (e20)))).
% 49.22/49.39 intro zenon_D_pnotp.
% 49.22/49.39 apply zenon_H1b8.
% 49.22/49.39 rewrite <- zenon_D_pnotp.
% 49.22/49.39 exact zenon_H1b5.
% 49.22/49.39 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1b6].
% 49.22/49.39 cut (((op2 (e23) (e20)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1b9].
% 49.22/49.39 congruence.
% 49.22/49.39 exact (zenon_H1b9 zenon_H1b3).
% 49.22/49.39 apply zenon_H1b6. apply refl_equal.
% 49.22/49.39 apply zenon_H1b6. apply refl_equal.
% 49.22/49.39 apply (zenon_L155_); trivial.
% 49.22/49.39 apply zenon_H1b6. apply refl_equal.
% 49.22/49.39 apply zenon_H1b6. apply refl_equal.
% 49.22/49.39 (* end of lemma zenon_L160_ *)
% 49.22/49.39 assert (zenon_L161_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((e20) = (e23))) -> ((op2 (e21) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False).
% 49.22/49.39 do 0 intro. intros zenon_H1ba zenon_H19d zenon_H1a7 zenon_H1a5 zenon_H1ad zenon_H19e zenon_H14 zenon_H19b zenon_H1b4.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ].
% 49.22/49.39 apply (zenon_L156_); trivial.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ].
% 49.22/49.39 apply (zenon_L158_); trivial.
% 49.22/49.39 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ].
% 49.22/49.39 apply (zenon_L159_); trivial.
% 49.22/49.39 apply (zenon_L160_); trivial.
% 49.22/49.39 (* end of lemma zenon_L161_ *)
% 49.22/49.39 assert (zenon_L162_ : (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e20)) = (e20)) -> False).
% 49.22/49.39 do 0 intro. intros zenon_H1bd zenon_H14 zenon_H1be.
% 49.22/49.39 cut (((e20) = (op2 (e22) (e22))) = ((op2 (e22) (e20)) = (op2 (e22) (e22)))).
% 49.22/49.39 intro zenon_D_pnotp.
% 49.22/49.39 apply zenon_H1bd.
% 49.22/49.39 rewrite <- zenon_D_pnotp.
% 49.22/49.39 exact zenon_H14.
% 49.22/49.39 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H1bf].
% 49.22/49.39 cut (((e20) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1c0].
% 49.22/49.39 congruence.
% 49.22/49.39 elim (classic ((op2 (e22) (e20)) = (op2 (e22) (e20)))); [ zenon_intro zenon_H1ae | zenon_intro zenon_H1af ].
% 49.22/49.39 cut (((op2 (e22) (e20)) = (op2 (e22) (e20))) = ((e20) = (op2 (e22) (e20)))).
% 49.22/49.39 intro zenon_D_pnotp.
% 49.22/49.39 apply zenon_H1c0.
% 49.22/49.39 rewrite <- zenon_D_pnotp.
% 49.22/49.39 exact zenon_H1ae.
% 49.22/49.39 cut (((op2 (e22) (e20)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1af].
% 49.22/49.39 cut (((op2 (e22) (e20)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H1c1].
% 49.22/49.39 congruence.
% 49.22/49.39 exact (zenon_H1c1 zenon_H1be).
% 49.22/49.39 apply zenon_H1af. apply refl_equal.
% 49.22/49.39 apply zenon_H1af. apply refl_equal.
% 49.22/49.39 apply zenon_H1bf. apply refl_equal.
% 49.22/49.39 (* end of lemma zenon_L162_ *)
% 49.22/49.39 assert (zenon_L163_ : (~((e22) = (e22))) -> False).
% 49.22/49.39 do 0 intro. intros zenon_H1c2.
% 49.22/49.39 apply zenon_H1c2. apply refl_equal.
% 49.22/49.39 (* end of lemma zenon_L163_ *)
% 49.22/49.39 assert (zenon_L164_ : (~((op2 (e22) (op2 (e22) (e22))) = (op2 (e22) (e20)))) -> ((e20) = (op2 (e22) (e22))) -> False).
% 49.22/49.39 do 0 intro. intros zenon_H1c3 zenon_H14.
% 49.22/49.39 cut (((op2 (e22) (e22)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H15].
% 49.22/49.39 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1c2].
% 49.22/49.39 congruence.
% 49.22/49.39 apply zenon_H1c2. apply refl_equal.
% 49.22/49.39 apply zenon_H15. apply sym_equal. exact zenon_H14.
% 49.22/49.39 (* end of lemma zenon_L164_ *)
% 49.22/49.39 assert (zenon_L165_ : (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((op2 (e20) (e20)) = (e21)) -> ((e20) = (op2 (e22) (e22))) -> False).
% 49.22/49.39 do 0 intro. intros zenon_H1c4 zenon_H19b zenon_H1c5 zenon_H14.
% 49.22/49.39 cut (((e21) = (op2 (e22) (op2 (e22) (e22)))) = ((op2 (e20) (e20)) = (op2 (e22) (e20)))).
% 49.22/49.39 intro zenon_D_pnotp.
% 49.22/49.39 apply zenon_H1c4.
% 49.22/49.39 rewrite <- zenon_D_pnotp.
% 49.22/49.39 exact zenon_H19b.
% 49.22/49.39 cut (((op2 (e22) (op2 (e22) (e22))) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1c3].
% 49.22/49.39 cut (((e21) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1c6].
% 49.22/49.39 congruence.
% 49.22/49.39 elim (classic ((op2 (e20) (e20)) = (op2 (e20) (e20)))); [ zenon_intro zenon_H1a1 | zenon_intro zenon_H1a2 ].
% 49.22/49.39 cut (((op2 (e20) (e20)) = (op2 (e20) (e20))) = ((e21) = (op2 (e20) (e20)))).
% 49.22/49.39 intro zenon_D_pnotp.
% 49.22/49.39 apply zenon_H1c6.
% 49.22/49.39 rewrite <- zenon_D_pnotp.
% 49.22/49.39 exact zenon_H1a1.
% 49.22/49.39 cut (((op2 (e20) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1a2].
% 49.22/49.39 cut (((op2 (e20) (e20)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1c7].
% 49.22/49.39 congruence.
% 49.22/49.39 exact (zenon_H1c7 zenon_H1c5).
% 49.22/49.39 apply zenon_H1a2. apply refl_equal.
% 49.22/49.39 apply zenon_H1a2. apply refl_equal.
% 49.22/49.39 apply (zenon_L164_); trivial.
% 49.22/49.39 (* end of lemma zenon_L165_ *)
% 49.22/49.39 assert (zenon_L166_ : ((op2 (e20) (e21)) = (e20)) -> ((op2 (e20) (e21)) = (e21)) -> (~((e20) = (e21))) -> False).
% 49.22/49.39 do 0 intro. intros zenon_H193 zenon_H1c8 zenon_H1c9.
% 49.22/49.39 elim (classic ((e21) = (e21))); [ zenon_intro zenon_H1ca | zenon_intro zenon_H1cb ].
% 49.22/49.39 cut (((e21) = (e21)) = ((e20) = (e21))).
% 49.22/49.39 intro zenon_D_pnotp.
% 49.22/49.39 apply zenon_H1c9.
% 49.22/49.39 rewrite <- zenon_D_pnotp.
% 49.22/49.39 exact zenon_H1ca.
% 49.22/49.39 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1cb].
% 49.22/49.39 cut (((e21) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H1cc].
% 49.22/49.39 congruence.
% 49.22/49.39 cut (((op2 (e20) (e21)) = (e20)) = ((e21) = (e20))).
% 49.22/49.39 intro zenon_D_pnotp.
% 49.22/49.39 apply zenon_H1cc.
% 49.22/49.39 rewrite <- zenon_D_pnotp.
% 49.22/49.39 exact zenon_H193.
% 49.22/49.39 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H1a4].
% 49.22/49.39 cut (((op2 (e20) (e21)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1cd].
% 49.22/49.39 congruence.
% 49.22/49.39 exact (zenon_H1cd zenon_H1c8).
% 49.22/49.39 apply zenon_H1a4. apply refl_equal.
% 49.22/49.39 apply zenon_H1cb. apply refl_equal.
% 49.22/49.39 apply zenon_H1cb. apply refl_equal.
% 49.22/49.39 (* end of lemma zenon_L166_ *)
% 49.22/49.39 assert (zenon_L167_ : ((op2 (e20) (e21)) = (e20)) -> ((op2 (e20) (e21)) = (e23)) -> (~((e20) = (e23))) -> False).
% 49.22/49.39 do 0 intro. intros zenon_H193 zenon_H1ce zenon_H1a7.
% 49.22/49.39 elim (classic ((e23) = (e23))); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H1a9 ].
% 49.22/49.39 cut (((e23) = (e23)) = ((e20) = (e23))).
% 49.22/49.39 intro zenon_D_pnotp.
% 49.22/49.39 apply zenon_H1a7.
% 49.22/49.39 rewrite <- zenon_D_pnotp.
% 49.22/49.39 exact zenon_H1a8.
% 49.22/49.39 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1a9].
% 49.22/49.39 cut (((e23) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H1aa].
% 49.22/49.39 congruence.
% 49.22/49.39 cut (((op2 (e20) (e21)) = (e20)) = ((e23) = (e20))).
% 49.22/49.39 intro zenon_D_pnotp.
% 49.22/49.39 apply zenon_H1aa.
% 49.22/49.39 rewrite <- zenon_D_pnotp.
% 49.22/49.39 exact zenon_H193.
% 49.22/49.39 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H1a4].
% 49.22/49.39 cut (((op2 (e20) (e21)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1cf].
% 49.22/49.39 congruence.
% 49.22/49.39 exact (zenon_H1cf zenon_H1ce).
% 49.22/49.39 apply zenon_H1a4. apply refl_equal.
% 49.22/49.39 apply zenon_H1a9. apply refl_equal.
% 49.22/49.39 apply zenon_H1a9. apply refl_equal.
% 49.22/49.39 (* end of lemma zenon_L167_ *)
% 49.22/49.39 assert (zenon_L168_ : (~((e21) = (e21))) -> False).
% 49.22/49.39 do 0 intro. intros zenon_H1cb.
% 49.22/49.39 apply zenon_H1cb. apply refl_equal.
% 49.22/49.39 (* end of lemma zenon_L168_ *)
% 49.22/49.39 assert (zenon_L169_ : ((op2 (e20) (e22)) = (e21)) -> ((op2 (e20) (e22)) = (e23)) -> (~((e21) = (e23))) -> False).
% 49.22/49.39 do 0 intro. intros zenon_H1d0 zenon_H1d1 zenon_H1d2.
% 49.22/49.39 elim (classic ((e23) = (e23))); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H1a9 ].
% 49.22/49.39 cut (((e23) = (e23)) = ((e21) = (e23))).
% 49.22/49.39 intro zenon_D_pnotp.
% 49.22/49.39 apply zenon_H1d2.
% 49.22/49.39 rewrite <- zenon_D_pnotp.
% 49.22/49.39 exact zenon_H1a8.
% 49.22/49.39 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1a9].
% 49.22/49.39 cut (((e23) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1d3].
% 49.22/49.39 congruence.
% 49.22/49.39 cut (((op2 (e20) (e22)) = (e21)) = ((e23) = (e21))).
% 49.22/49.39 intro zenon_D_pnotp.
% 49.22/49.39 apply zenon_H1d3.
% 49.22/49.39 rewrite <- zenon_D_pnotp.
% 49.22/49.39 exact zenon_H1d0.
% 49.22/49.39 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1cb].
% 49.22/49.39 cut (((op2 (e20) (e22)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1d4].
% 49.22/49.39 congruence.
% 49.22/49.39 exact (zenon_H1d4 zenon_H1d1).
% 49.22/49.39 apply zenon_H1cb. apply refl_equal.
% 49.22/49.39 apply zenon_H1a9. apply refl_equal.
% 49.22/49.39 apply zenon_H1a9. apply refl_equal.
% 49.22/49.39 (* end of lemma zenon_L169_ *)
% 49.22/49.39 assert (zenon_L170_ : (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((op2 (e21) (e20)) = (e21)) -> ((e20) = (op2 (e22) (e22))) -> False).
% 49.22/49.39 do 0 intro. intros zenon_H1ad zenon_H19b zenon_H1d5 zenon_H14.
% 49.22/49.39 cut (((e21) = (op2 (e22) (op2 (e22) (e22)))) = ((op2 (e21) (e20)) = (op2 (e22) (e20)))).
% 49.22/49.39 intro zenon_D_pnotp.
% 49.22/49.39 apply zenon_H1ad.
% 49.22/49.39 rewrite <- zenon_D_pnotp.
% 49.22/49.39 exact zenon_H19b.
% 49.22/49.39 cut (((op2 (e22) (op2 (e22) (e22))) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1c3].
% 49.22/49.39 cut (((e21) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1d6].
% 49.22/49.39 congruence.
% 49.22/49.39 elim (classic ((op2 (e21) (e20)) = (op2 (e21) (e20)))); [ zenon_intro zenon_H1d7 | zenon_intro zenon_H1d8 ].
% 49.22/49.39 cut (((op2 (e21) (e20)) = (op2 (e21) (e20))) = ((e21) = (op2 (e21) (e20)))).
% 49.22/49.39 intro zenon_D_pnotp.
% 49.22/49.39 apply zenon_H1d6.
% 49.22/49.39 rewrite <- zenon_D_pnotp.
% 49.22/49.39 exact zenon_H1d7.
% 49.22/49.39 cut (((op2 (e21) (e20)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1d8].
% 49.22/49.39 cut (((op2 (e21) (e20)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1d9].
% 49.22/49.39 congruence.
% 49.22/49.39 exact (zenon_H1d9 zenon_H1d5).
% 49.22/49.39 apply zenon_H1d8. apply refl_equal.
% 49.22/49.39 apply zenon_H1d8. apply refl_equal.
% 49.22/49.39 apply (zenon_L164_); trivial.
% 49.22/49.39 (* end of lemma zenon_L170_ *)
% 49.22/49.39 assert (zenon_L171_ : ((op2 (e21) (e21)) = (e20)) -> ((op2 (e21) (e21)) = (e21)) -> (~((e20) = (e21))) -> False).
% 49.22/49.39 do 0 intro. intros zenon_H1da zenon_H1db zenon_H1c9.
% 49.22/49.39 elim (classic ((e21) = (e21))); [ zenon_intro zenon_H1ca | zenon_intro zenon_H1cb ].
% 49.22/49.39 cut (((e21) = (e21)) = ((e20) = (e21))).
% 49.22/49.39 intro zenon_D_pnotp.
% 49.22/49.39 apply zenon_H1c9.
% 49.22/49.39 rewrite <- zenon_D_pnotp.
% 49.22/49.39 exact zenon_H1ca.
% 49.22/49.39 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1cb].
% 49.22/49.39 cut (((e21) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H1cc].
% 49.22/49.39 congruence.
% 49.22/49.39 cut (((op2 (e21) (e21)) = (e20)) = ((e21) = (e20))).
% 49.22/49.39 intro zenon_D_pnotp.
% 49.22/49.39 apply zenon_H1cc.
% 49.22/49.39 rewrite <- zenon_D_pnotp.
% 49.22/49.39 exact zenon_H1da.
% 49.22/49.39 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H1a4].
% 49.22/49.39 cut (((op2 (e21) (e21)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1dc].
% 49.22/49.39 congruence.
% 49.22/49.39 exact (zenon_H1dc zenon_H1db).
% 49.22/49.39 apply zenon_H1a4. apply refl_equal.
% 49.22/49.39 apply zenon_H1cb. apply refl_equal.
% 49.22/49.39 apply zenon_H1cb. apply refl_equal.
% 49.22/49.39 (* end of lemma zenon_L171_ *)
% 49.22/49.39 assert (zenon_L172_ : (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> ((op2 (e21) (e22)) = (e21)) -> False).
% 49.22/49.39 do 0 intro. intros zenon_H1dd zenon_H1d0 zenon_H1de.
% 49.22/49.39 cut (((op2 (e20) (e22)) = (e21)) = ((op2 (e20) (e22)) = (op2 (e21) (e22)))).
% 49.22/49.39 intro zenon_D_pnotp.
% 49.22/49.39 apply zenon_H1dd.
% 49.22/49.39 rewrite <- zenon_D_pnotp.
% 49.22/49.39 exact zenon_H1d0.
% 49.22/49.39 cut (((e21) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H1df].
% 49.22/49.39 cut (((op2 (e20) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H1e0].
% 49.22/49.39 congruence.
% 49.22/49.39 apply zenon_H1e0. apply refl_equal.
% 49.22/49.39 apply zenon_H1df. apply sym_equal. exact zenon_H1de.
% 49.22/49.39 (* end of lemma zenon_L172_ *)
% 49.22/49.39 assert (zenon_L173_ : ((op2 (e20) (e22)) = (e21)) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> False).
% 49.22/49.39 do 0 intro. intros zenon_H1d0 zenon_H1c8 zenon_H1e1.
% 49.22/49.39 elim (classic ((op2 (e20) (e22)) = (op2 (e20) (e22)))); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H1e0 ].
% 49.22/49.39 cut (((op2 (e20) (e22)) = (op2 (e20) (e22))) = ((op2 (e20) (e21)) = (op2 (e20) (e22)))).
% 49.22/49.39 intro zenon_D_pnotp.
% 49.22/49.39 apply zenon_H1e1.
% 49.22/49.39 rewrite <- zenon_D_pnotp.
% 49.22/49.39 exact zenon_H1e2.
% 49.22/49.39 cut (((op2 (e20) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H1e0].
% 49.22/49.39 cut (((op2 (e20) (e22)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H1e3].
% 49.22/49.39 congruence.
% 49.22/49.39 cut (((op2 (e20) (e22)) = (e21)) = ((op2 (e20) (e22)) = (op2 (e20) (e21)))).
% 49.22/49.39 intro zenon_D_pnotp.
% 49.22/49.39 apply zenon_H1e3.
% 49.22/49.39 rewrite <- zenon_D_pnotp.
% 49.22/49.39 exact zenon_H1d0.
% 49.22/49.39 cut (((e21) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H1e4].
% 49.22/49.39 cut (((op2 (e20) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H1e0].
% 49.22/49.39 congruence.
% 49.22/49.39 apply zenon_H1e0. apply refl_equal.
% 49.22/49.39 apply zenon_H1e4. apply sym_equal. exact zenon_H1c8.
% 49.22/49.39 apply zenon_H1e0. apply refl_equal.
% 49.22/49.39 apply zenon_H1e0. apply refl_equal.
% 49.22/49.39 (* end of lemma zenon_L173_ *)
% 49.22/49.39 assert (zenon_L174_ : ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((op2 (e22) (e21)) = (e21)) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> False).
% 49.22/49.39 do 0 intro. intros zenon_H19b zenon_H1e5 zenon_H14 zenon_H1e6.
% 49.22/49.39 elim (classic ((op2 (e22) (e21)) = (op2 (e22) (e21)))); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1e8 ].
% 49.22/49.39 cut (((op2 (e22) (e21)) = (op2 (e22) (e21))) = ((op2 (e22) (e20)) = (op2 (e22) (e21)))).
% 49.22/49.39 intro zenon_D_pnotp.
% 49.22/49.39 apply zenon_H1e6.
% 49.22/49.39 rewrite <- zenon_D_pnotp.
% 49.22/49.39 exact zenon_H1e7.
% 49.22/49.39 cut (((op2 (e22) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H1e8].
% 49.22/49.39 cut (((op2 (e22) (e21)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1e9].
% 49.22/49.39 congruence.
% 49.22/49.39 cut (((e21) = (op2 (e22) (op2 (e22) (e22)))) = ((op2 (e22) (e21)) = (op2 (e22) (e20)))).
% 49.22/49.39 intro zenon_D_pnotp.
% 49.22/49.39 apply zenon_H1e9.
% 49.22/49.39 rewrite <- zenon_D_pnotp.
% 49.22/49.39 exact zenon_H19b.
% 49.22/49.39 cut (((op2 (e22) (op2 (e22) (e22))) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1c3].
% 49.22/49.39 cut (((e21) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H1ea].
% 49.22/49.39 congruence.
% 49.22/49.39 elim (classic ((op2 (e22) (e21)) = (op2 (e22) (e21)))); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1e8 ].
% 49.22/49.39 cut (((op2 (e22) (e21)) = (op2 (e22) (e21))) = ((e21) = (op2 (e22) (e21)))).
% 49.22/49.39 intro zenon_D_pnotp.
% 49.22/49.39 apply zenon_H1ea.
% 49.22/49.39 rewrite <- zenon_D_pnotp.
% 49.22/49.39 exact zenon_H1e7.
% 49.22/49.39 cut (((op2 (e22) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H1e8].
% 49.22/49.39 cut (((op2 (e22) (e21)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1eb].
% 49.22/49.39 congruence.
% 49.22/49.39 exact (zenon_H1eb zenon_H1e5).
% 49.22/49.39 apply zenon_H1e8. apply refl_equal.
% 49.22/49.39 apply zenon_H1e8. apply refl_equal.
% 49.22/49.39 apply (zenon_L164_); trivial.
% 49.22/49.39 apply zenon_H1e8. apply refl_equal.
% 49.22/49.39 apply zenon_H1e8. apply refl_equal.
% 49.22/49.39 (* end of lemma zenon_L174_ *)
% 49.22/49.39 assert (zenon_L175_ : (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e20) (e20)) = (e22)) -> ((op2 (e21) (e20)) = (e22)) -> False).
% 49.22/49.39 do 0 intro. intros zenon_H19d zenon_H1ec zenon_H1ed.
% 49.22/49.39 cut (((op2 (e20) (e20)) = (e22)) = ((op2 (e20) (e20)) = (op2 (e21) (e20)))).
% 49.22/49.39 intro zenon_D_pnotp.
% 49.22/49.39 apply zenon_H19d.
% 49.22/49.39 rewrite <- zenon_D_pnotp.
% 49.22/49.39 exact zenon_H1ec.
% 49.22/49.39 cut (((e22) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1ee].
% 49.22/49.39 cut (((op2 (e20) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1a2].
% 49.22/49.39 congruence.
% 49.22/49.39 apply zenon_H1a2. apply refl_equal.
% 49.22/49.39 apply zenon_H1ee. apply sym_equal. exact zenon_H1ed.
% 49.22/49.39 (* end of lemma zenon_L175_ *)
% 49.22/49.39 assert (zenon_L176_ : ((op2 (e21) (e21)) = (e20)) -> ((op2 (e21) (e21)) = (e22)) -> (~((e20) = (e22))) -> False).
% 49.22/49.39 do 0 intro. intros zenon_H1da zenon_H1ef zenon_H1f0.
% 49.22/49.39 elim (classic ((e22) = (e22))); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H1c2 ].
% 49.22/49.39 cut (((e22) = (e22)) = ((e20) = (e22))).
% 49.22/49.39 intro zenon_D_pnotp.
% 49.22/49.39 apply zenon_H1f0.
% 49.22/49.39 rewrite <- zenon_D_pnotp.
% 49.22/49.39 exact zenon_H1f1.
% 49.22/49.39 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1c2].
% 49.22/49.39 cut (((e22) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H1f2].
% 49.22/49.39 congruence.
% 49.22/49.39 cut (((op2 (e21) (e21)) = (e20)) = ((e22) = (e20))).
% 49.22/49.39 intro zenon_D_pnotp.
% 49.22/49.39 apply zenon_H1f2.
% 49.22/49.39 rewrite <- zenon_D_pnotp.
% 49.22/49.39 exact zenon_H1da.
% 49.22/49.39 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H1a4].
% 49.22/49.39 cut (((op2 (e21) (e21)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1f3].
% 49.23/49.39 congruence.
% 49.23/49.39 exact (zenon_H1f3 zenon_H1ef).
% 49.23/49.39 apply zenon_H1a4. apply refl_equal.
% 49.23/49.39 apply zenon_H1c2. apply refl_equal.
% 49.23/49.39 apply zenon_H1c2. apply refl_equal.
% 49.23/49.39 (* end of lemma zenon_L176_ *)
% 49.23/49.39 assert (zenon_L177_ : ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e21) (e21)) = (e23)) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> False).
% 49.23/49.39 do 0 intro. intros zenon_H19e zenon_H1f4 zenon_H14 zenon_H19b zenon_H1f5.
% 49.23/49.39 elim (classic ((op2 (e21) (e21)) = (op2 (e21) (e21)))); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H1f7 ].
% 49.23/49.39 cut (((op2 (e21) (e21)) = (op2 (e21) (e21))) = ((op2 (e21) (e20)) = (op2 (e21) (e21)))).
% 49.23/49.39 intro zenon_D_pnotp.
% 49.23/49.39 apply zenon_H1f5.
% 49.23/49.39 rewrite <- zenon_D_pnotp.
% 49.23/49.39 exact zenon_H1f6.
% 49.23/49.39 cut (((op2 (e21) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H1f7].
% 49.23/49.39 cut (((op2 (e21) (e21)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1f8].
% 49.23/49.39 congruence.
% 49.23/49.39 cut (((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) = ((op2 (e21) (e21)) = (op2 (e21) (e20)))).
% 49.23/49.39 intro zenon_D_pnotp.
% 49.23/49.39 apply zenon_H1f8.
% 49.23/49.39 rewrite <- zenon_D_pnotp.
% 49.23/49.39 exact zenon_H19e.
% 49.23/49.39 cut (((op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22))) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H19a].
% 49.23/49.39 cut (((e23) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H1f9].
% 49.23/49.39 congruence.
% 49.23/49.39 elim (classic ((op2 (e21) (e21)) = (op2 (e21) (e21)))); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H1f7 ].
% 49.23/49.39 cut (((op2 (e21) (e21)) = (op2 (e21) (e21))) = ((e23) = (op2 (e21) (e21)))).
% 49.23/49.39 intro zenon_D_pnotp.
% 49.23/49.39 apply zenon_H1f9.
% 49.23/49.39 rewrite <- zenon_D_pnotp.
% 49.23/49.39 exact zenon_H1f6.
% 49.23/49.39 cut (((op2 (e21) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H1f7].
% 49.23/49.39 cut (((op2 (e21) (e21)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1fa].
% 49.23/49.39 congruence.
% 49.23/49.39 exact (zenon_H1fa zenon_H1f4).
% 49.23/49.39 apply zenon_H1f7. apply refl_equal.
% 49.23/49.39 apply zenon_H1f7. apply refl_equal.
% 49.23/49.39 apply (zenon_L155_); trivial.
% 49.23/49.39 apply zenon_H1f7. apply refl_equal.
% 49.23/49.39 apply zenon_H1f7. apply refl_equal.
% 49.23/49.39 (* end of lemma zenon_L177_ *)
% 49.23/49.39 assert (zenon_L178_ : ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e23)) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> False).
% 49.23/49.39 do 0 intro. intros zenon_H19e zenon_H1fb zenon_H14 zenon_H19b zenon_H1fc.
% 49.23/49.39 elim (classic ((op2 (e21) (e22)) = (op2 (e21) (e22)))); [ zenon_intro zenon_H1fd | zenon_intro zenon_H1fe ].
% 49.23/49.39 cut (((op2 (e21) (e22)) = (op2 (e21) (e22))) = ((op2 (e21) (e20)) = (op2 (e21) (e22)))).
% 49.23/49.39 intro zenon_D_pnotp.
% 49.23/49.39 apply zenon_H1fc.
% 49.23/49.39 rewrite <- zenon_D_pnotp.
% 49.23/49.39 exact zenon_H1fd.
% 49.23/49.39 cut (((op2 (e21) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H1fe].
% 49.23/49.39 cut (((op2 (e21) (e22)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1ff].
% 49.23/49.39 congruence.
% 49.23/49.39 cut (((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) = ((op2 (e21) (e22)) = (op2 (e21) (e20)))).
% 49.23/49.39 intro zenon_D_pnotp.
% 49.23/49.39 apply zenon_H1ff.
% 49.23/49.40 rewrite <- zenon_D_pnotp.
% 49.23/49.40 exact zenon_H19e.
% 49.23/49.40 cut (((op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22))) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H19a].
% 49.23/49.40 cut (((e23) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H200].
% 49.23/49.40 congruence.
% 49.23/49.40 elim (classic ((op2 (e21) (e22)) = (op2 (e21) (e22)))); [ zenon_intro zenon_H1fd | zenon_intro zenon_H1fe ].
% 49.23/49.40 cut (((op2 (e21) (e22)) = (op2 (e21) (e22))) = ((e23) = (op2 (e21) (e22)))).
% 49.23/49.40 intro zenon_D_pnotp.
% 49.23/49.40 apply zenon_H200.
% 49.23/49.40 rewrite <- zenon_D_pnotp.
% 49.23/49.40 exact zenon_H1fd.
% 49.23/49.40 cut (((op2 (e21) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H1fe].
% 49.23/49.40 cut (((op2 (e21) (e22)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H201].
% 49.23/49.40 congruence.
% 49.23/49.40 exact (zenon_H201 zenon_H1fb).
% 49.23/49.40 apply zenon_H1fe. apply refl_equal.
% 49.23/49.40 apply zenon_H1fe. apply refl_equal.
% 49.23/49.40 apply (zenon_L155_); trivial.
% 49.23/49.40 apply zenon_H1fe. apply refl_equal.
% 49.23/49.40 apply zenon_H1fe. apply refl_equal.
% 49.23/49.40 (* end of lemma zenon_L178_ *)
% 49.23/49.40 assert (zenon_L179_ : (~((op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22))) = (op2 (e21) (e23)))) -> ((op2 (e22) (e22)) = (e23)) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> False).
% 49.23/49.40 do 0 intro. intros zenon_H202 zenon_H203 zenon_H19b.
% 49.23/49.40 cut (((op2 (e22) (e22)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H204].
% 49.23/49.40 cut (((op2 (e22) (op2 (e22) (e22))) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H19c].
% 49.23/49.40 congruence.
% 49.23/49.40 apply zenon_H19c. apply sym_equal. exact zenon_H19b.
% 49.23/49.40 exact (zenon_H204 zenon_H203).
% 49.23/49.40 (* end of lemma zenon_L179_ *)
% 49.23/49.40 assert (zenon_L180_ : (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e20) (e23)) = (e23)) -> ((op2 (e22) (e22)) = (e23)) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> False).
% 49.23/49.40 do 0 intro. intros zenon_H205 zenon_H19e zenon_H206 zenon_H203 zenon_H19b.
% 49.23/49.40 cut (((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) = ((op2 (e20) (e23)) = (op2 (e21) (e23)))).
% 49.23/49.40 intro zenon_D_pnotp.
% 49.23/49.40 apply zenon_H205.
% 49.23/49.40 rewrite <- zenon_D_pnotp.
% 49.23/49.40 exact zenon_H19e.
% 49.23/49.40 cut (((op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22))) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H202].
% 49.23/49.40 cut (((e23) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H207].
% 49.23/49.40 congruence.
% 49.23/49.40 elim (classic ((op2 (e20) (e23)) = (op2 (e20) (e23)))); [ zenon_intro zenon_H208 | zenon_intro zenon_H209 ].
% 49.23/49.40 cut (((op2 (e20) (e23)) = (op2 (e20) (e23))) = ((e23) = (op2 (e20) (e23)))).
% 49.23/49.40 intro zenon_D_pnotp.
% 49.23/49.40 apply zenon_H207.
% 49.23/49.40 rewrite <- zenon_D_pnotp.
% 49.23/49.40 exact zenon_H208.
% 49.23/49.40 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H209].
% 49.23/49.40 cut (((op2 (e20) (e23)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H20a].
% 49.23/49.40 congruence.
% 49.23/49.40 exact (zenon_H20a zenon_H206).
% 49.23/49.40 apply zenon_H209. apply refl_equal.
% 49.23/49.40 apply zenon_H209. apply refl_equal.
% 49.23/49.40 apply (zenon_L179_); trivial.
% 49.23/49.40 (* end of lemma zenon_L180_ *)
% 49.23/49.40 assert (zenon_L181_ : ((op2 (e23) (e20)) = (e20)) -> ((op2 (e23) (e20)) = (e22)) -> (~((e20) = (e22))) -> False).
% 49.23/49.40 do 0 intro. intros zenon_H20b zenon_H20c zenon_H1f0.
% 49.23/49.40 elim (classic ((e22) = (e22))); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H1c2 ].
% 49.23/49.40 cut (((e22) = (e22)) = ((e20) = (e22))).
% 49.23/49.40 intro zenon_D_pnotp.
% 49.23/49.40 apply zenon_H1f0.
% 49.23/49.40 rewrite <- zenon_D_pnotp.
% 49.23/49.40 exact zenon_H1f1.
% 49.23/49.40 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1c2].
% 49.23/49.40 cut (((e22) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H1f2].
% 49.23/49.40 congruence.
% 49.23/49.40 cut (((op2 (e23) (e20)) = (e20)) = ((e22) = (e20))).
% 49.23/49.40 intro zenon_D_pnotp.
% 49.23/49.40 apply zenon_H1f2.
% 49.23/49.40 rewrite <- zenon_D_pnotp.
% 49.23/49.40 exact zenon_H20b.
% 49.23/49.40 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H1a4].
% 49.23/49.40 cut (((op2 (e23) (e20)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H20d].
% 49.23/49.40 congruence.
% 49.23/49.40 exact (zenon_H20d zenon_H20c).
% 49.23/49.40 apply zenon_H1a4. apply refl_equal.
% 49.23/49.40 apply zenon_H1c2. apply refl_equal.
% 49.23/49.40 apply zenon_H1c2. apply refl_equal.
% 49.23/49.40 (* end of lemma zenon_L181_ *)
% 49.23/49.40 assert (zenon_L182_ : ((op2 (e23) (e21)) = (e21)) -> ((op2 (e23) (e21)) = (e22)) -> (~((e21) = (e22))) -> False).
% 49.23/49.40 do 0 intro. intros zenon_H20e zenon_H20f zenon_H210.
% 49.23/49.40 elim (classic ((e22) = (e22))); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H1c2 ].
% 49.23/49.40 cut (((e22) = (e22)) = ((e21) = (e22))).
% 49.23/49.40 intro zenon_D_pnotp.
% 49.23/49.40 apply zenon_H210.
% 49.23/49.40 rewrite <- zenon_D_pnotp.
% 49.23/49.40 exact zenon_H1f1.
% 49.23/49.40 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1c2].
% 49.23/49.40 cut (((e22) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H211].
% 49.23/49.40 congruence.
% 49.23/49.40 cut (((op2 (e23) (e21)) = (e21)) = ((e22) = (e21))).
% 49.23/49.40 intro zenon_D_pnotp.
% 49.23/49.40 apply zenon_H211.
% 49.23/49.40 rewrite <- zenon_D_pnotp.
% 49.23/49.40 exact zenon_H20e.
% 49.23/49.40 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1cb].
% 49.23/49.40 cut (((op2 (e23) (e21)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H212].
% 49.23/49.40 congruence.
% 49.23/49.40 exact (zenon_H212 zenon_H20f).
% 49.23/49.40 apply zenon_H1cb. apply refl_equal.
% 49.23/49.40 apply zenon_H1c2. apply refl_equal.
% 49.23/49.40 apply zenon_H1c2. apply refl_equal.
% 49.23/49.40 (* end of lemma zenon_L182_ *)
% 49.23/49.40 assert (zenon_L183_ : (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> ((op2 (e23) (e22)) = (e22)) -> False).
% 49.23/49.40 do 0 intro. intros zenon_H213 zenon_H214 zenon_H215.
% 49.23/49.40 cut (((op2 (e21) (e22)) = (e22)) = ((op2 (e21) (e22)) = (op2 (e23) (e22)))).
% 49.23/49.40 intro zenon_D_pnotp.
% 49.23/49.40 apply zenon_H213.
% 49.23/49.40 rewrite <- zenon_D_pnotp.
% 49.23/49.40 exact zenon_H214.
% 49.23/49.40 cut (((e22) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H216].
% 49.23/49.40 cut (((op2 (e21) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H1fe].
% 49.23/49.40 congruence.
% 49.23/49.40 apply zenon_H1fe. apply refl_equal.
% 49.23/49.40 apply zenon_H216. apply sym_equal. exact zenon_H215.
% 49.23/49.40 (* end of lemma zenon_L183_ *)
% 49.23/49.40 assert (zenon_L184_ : (~((e23) = (e23))) -> False).
% 49.23/49.40 do 0 intro. intros zenon_H1a9.
% 49.23/49.40 apply zenon_H1a9. apply refl_equal.
% 49.23/49.40 (* end of lemma zenon_L184_ *)
% 49.23/49.40 assert (zenon_L185_ : (((op2 (e20) (op2 (e20) (e20))) = (e20))/\(((op2 (e21) (op2 (e20) (e21))) = (e21))/\(((op2 (e22) (op2 (e20) (e22))) = (e22))/\((op2 (e23) (op2 (e20) (e23))) = (e23))))) -> ((op2 (e20) (e23)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> False).
% 49.23/49.40 do 0 intro. intros zenon_H217 zenon_H206 zenon_H218.
% 49.23/49.40 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H21a. zenon_intro zenon_H219.
% 49.23/49.40 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H21c. zenon_intro zenon_H21b.
% 49.23/49.40 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H21e. zenon_intro zenon_H21d.
% 49.23/49.40 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H21f | zenon_intro zenon_H220 ].
% 49.23/49.40 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((op2 (e20) (e23)) = (op2 (e23) (e23)))).
% 49.23/49.40 intro zenon_D_pnotp.
% 49.23/49.40 apply zenon_H218.
% 49.23/49.40 rewrite <- zenon_D_pnotp.
% 49.23/49.40 exact zenon_H21f.
% 49.23/49.40 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H220].
% 49.23/49.40 cut (((op2 (e23) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H221].
% 49.23/49.40 congruence.
% 49.23/49.40 cut (((op2 (e23) (op2 (e20) (e23))) = (e23)) = ((op2 (e23) (e23)) = (op2 (e20) (e23)))).
% 49.23/49.40 intro zenon_D_pnotp.
% 49.23/49.40 apply zenon_H221.
% 49.23/49.40 rewrite <- zenon_D_pnotp.
% 49.23/49.40 exact zenon_H21d.
% 49.23/49.40 cut (((e23) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H207].
% 49.23/49.40 cut (((op2 (e23) (op2 (e20) (e23))) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H222].
% 49.23/49.40 congruence.
% 49.23/49.40 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H21f | zenon_intro zenon_H220 ].
% 49.23/49.40 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((op2 (e23) (op2 (e20) (e23))) = (op2 (e23) (e23)))).
% 49.23/49.40 intro zenon_D_pnotp.
% 49.23/49.40 apply zenon_H222.
% 49.23/49.40 rewrite <- zenon_D_pnotp.
% 49.23/49.40 exact zenon_H21f.
% 49.23/49.40 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H220].
% 49.23/49.40 cut (((op2 (e23) (e23)) = (op2 (e23) (op2 (e20) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H223].
% 49.23/49.40 congruence.
% 49.23/49.40 cut (((e23) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H207].
% 49.23/49.40 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1a9].
% 49.23/49.40 congruence.
% 49.23/49.40 apply zenon_H1a9. apply refl_equal.
% 49.23/49.40 apply zenon_H207. apply sym_equal. exact zenon_H206.
% 49.23/49.40 apply zenon_H220. apply refl_equal.
% 49.23/49.40 apply zenon_H220. apply refl_equal.
% 49.23/49.40 apply zenon_H207. apply sym_equal. exact zenon_H206.
% 49.23/49.40 apply zenon_H220. apply refl_equal.
% 49.23/49.40 apply zenon_H220. apply refl_equal.
% 49.23/49.40 (* end of lemma zenon_L185_ *)
% 49.23/49.40 assert (zenon_L186_ : (~((op2 (e23) (e21)) = (op2 (e23) (op2 (e21) (e23))))) -> ((op2 (e21) (e23)) = (e21)) -> False).
% 49.23/49.40 do 0 intro. intros zenon_H224 zenon_H225.
% 49.23/49.40 cut (((e21) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H226].
% 49.23/49.40 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1a9].
% 49.23/49.40 congruence.
% 49.23/49.40 apply zenon_H1a9. apply refl_equal.
% 49.23/49.40 apply zenon_H226. apply sym_equal. exact zenon_H225.
% 49.23/49.40 (* end of lemma zenon_L186_ *)
% 49.23/49.40 assert (zenon_L187_ : (((op2 (e20) (op2 (e21) (e20))) = (e20))/\(((op2 (e21) (op2 (e21) (e21))) = (e21))/\(((op2 (e22) (op2 (e21) (e22))) = (e22))/\((op2 (e23) (op2 (e21) (e23))) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e23)) = (e21)) -> ((op2 (e23) (e22)) = (e23)) -> False).
% 49.23/49.40 do 0 intro. intros zenon_H227 zenon_H228 zenon_H225 zenon_H229.
% 49.23/49.40 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H22b. zenon_intro zenon_H22a.
% 49.23/49.40 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H22d. zenon_intro zenon_H22c.
% 49.23/49.40 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H22f. zenon_intro zenon_H22e.
% 49.23/49.40 cut (((op2 (e23) (op2 (e21) (e23))) = (e23)) = ((op2 (e23) (e21)) = (op2 (e23) (e22)))).
% 49.23/49.40 intro zenon_D_pnotp.
% 49.23/49.40 apply zenon_H228.
% 49.23/49.40 rewrite <- zenon_D_pnotp.
% 49.23/49.40 exact zenon_H22e.
% 49.23/49.40 cut (((e23) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H230].
% 49.23/49.40 cut (((op2 (e23) (op2 (e21) (e23))) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H231].
% 49.23/49.40 congruence.
% 49.23/49.40 elim (classic ((op2 (e23) (e21)) = (op2 (e23) (e21)))); [ zenon_intro zenon_H232 | zenon_intro zenon_H233 ].
% 49.23/49.40 cut (((op2 (e23) (e21)) = (op2 (e23) (e21))) = ((op2 (e23) (op2 (e21) (e23))) = (op2 (e23) (e21)))).
% 49.23/49.40 intro zenon_D_pnotp.
% 49.23/49.40 apply zenon_H231.
% 49.23/49.40 rewrite <- zenon_D_pnotp.
% 49.23/49.40 exact zenon_H232.
% 49.23/49.40 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H233].
% 49.23/49.40 cut (((op2 (e23) (e21)) = (op2 (e23) (op2 (e21) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H224].
% 49.23/49.40 congruence.
% 49.23/49.40 apply (zenon_L186_); trivial.
% 49.23/49.40 apply zenon_H233. apply refl_equal.
% 49.23/49.40 apply zenon_H233. apply refl_equal.
% 49.23/49.40 apply zenon_H230. apply sym_equal. exact zenon_H229.
% 49.23/49.40 (* end of lemma zenon_L187_ *)
% 49.23/49.40 assert (zenon_L188_ : (~((op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22))) = (op2 (e22) (e20)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (op2 (e22) (e22))) = (e22)) -> False).
% 49.23/49.40 do 0 intro. intros zenon_H234 zenon_H14 zenon_H235.
% 49.23/49.40 cut (((op2 (e22) (e22)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H15].
% 49.23/49.40 cut (((op2 (e22) (op2 (e22) (e22))) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H236].
% 49.23/49.40 congruence.
% 49.23/49.40 exact (zenon_H236 zenon_H235).
% 49.23/49.40 apply zenon_H15. apply sym_equal. exact zenon_H14.
% 49.23/49.40 (* end of lemma zenon_L188_ *)
% 49.23/49.40 assert (zenon_L189_ : (((op2 (e20) (op2 (e22) (e20))) = (e20))/\(((op2 (e21) (op2 (e22) (e21))) = (e21))/\(((op2 (e22) (op2 (e22) (e22))) = (e22))/\((op2 (e23) (op2 (e22) (e23))) = (e23))))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e22) (e21)) = (e23)) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> False).
% 49.23/49.40 do 0 intro. intros zenon_H237 zenon_H19e zenon_H238 zenon_H14 zenon_H1e6.
% 49.23/49.40 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_H23a. zenon_intro zenon_H239.
% 49.23/49.40 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H23c. zenon_intro zenon_H23b.
% 49.23/49.40 apply (zenon_and_s _ _ zenon_H23b). zenon_intro zenon_H235. zenon_intro zenon_H23d.
% 49.23/49.40 elim (classic ((op2 (e22) (e21)) = (op2 (e22) (e21)))); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1e8 ].
% 49.23/49.40 cut (((op2 (e22) (e21)) = (op2 (e22) (e21))) = ((op2 (e22) (e20)) = (op2 (e22) (e21)))).
% 49.23/49.40 intro zenon_D_pnotp.
% 49.23/49.40 apply zenon_H1e6.
% 49.23/49.40 rewrite <- zenon_D_pnotp.
% 49.23/49.40 exact zenon_H1e7.
% 49.23/49.40 cut (((op2 (e22) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H1e8].
% 49.23/49.40 cut (((op2 (e22) (e21)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1e9].
% 49.23/49.40 congruence.
% 49.23/49.40 cut (((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) = ((op2 (e22) (e21)) = (op2 (e22) (e20)))).
% 49.23/49.40 intro zenon_D_pnotp.
% 49.23/49.40 apply zenon_H1e9.
% 49.23/49.40 rewrite <- zenon_D_pnotp.
% 49.23/49.40 exact zenon_H19e.
% 49.23/49.40 cut (((op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22))) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H234].
% 49.23/49.40 cut (((e23) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H23e].
% 49.23/49.40 congruence.
% 49.23/49.40 elim (classic ((op2 (e22) (e21)) = (op2 (e22) (e21)))); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1e8 ].
% 49.23/49.40 cut (((op2 (e22) (e21)) = (op2 (e22) (e21))) = ((e23) = (op2 (e22) (e21)))).
% 49.23/49.40 intro zenon_D_pnotp.
% 49.23/49.40 apply zenon_H23e.
% 49.23/49.40 rewrite <- zenon_D_pnotp.
% 49.23/49.40 exact zenon_H1e7.
% 49.23/49.40 cut (((op2 (e22) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H1e8].
% 49.23/49.40 cut (((op2 (e22) (e21)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H23f].
% 49.23/49.40 congruence.
% 49.23/49.40 exact (zenon_H23f zenon_H238).
% 49.23/49.40 apply zenon_H1e8. apply refl_equal.
% 49.23/49.40 apply zenon_H1e8. apply refl_equal.
% 49.23/49.40 apply (zenon_L188_); trivial.
% 49.23/49.40 apply zenon_H1e8. apply refl_equal.
% 49.23/49.40 apply zenon_H1e8. apply refl_equal.
% 49.23/49.40 (* end of lemma zenon_L189_ *)
% 49.23/49.40 assert (zenon_L190_ : (((op2 (e20) (op2 (e23) (e20))) = (e20))/\(((op2 (e21) (op2 (e23) (e21))) = (e21))/\(((op2 (e22) (op2 (e23) (e22))) = (e22))/\((op2 (e23) (op2 (e23) (e23))) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e22)) = (e23)) -> ((op2 (e23) (e23)) = (e22)) -> False).
% 49.23/49.40 do 0 intro. intros zenon_H240 zenon_H241 zenon_H229 zenon_H242.
% 49.23/49.40 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H244. zenon_intro zenon_H243.
% 49.23/49.40 apply (zenon_and_s _ _ zenon_H243). zenon_intro zenon_H246. zenon_intro zenon_H245.
% 49.23/49.40 apply (zenon_and_s _ _ zenon_H245). zenon_intro zenon_H248. zenon_intro zenon_H247.
% 49.23/49.40 cut (((op2 (e22) (op2 (e23) (e22))) = (e22)) = ((op2 (e22) (e23)) = (op2 (e23) (e23)))).
% 49.23/49.40 intro zenon_D_pnotp.
% 49.23/49.40 apply zenon_H241.
% 49.23/49.40 rewrite <- zenon_D_pnotp.
% 49.23/49.40 exact zenon_H248.
% 49.23/49.40 cut (((e22) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H249].
% 49.23/49.40 cut (((op2 (e22) (op2 (e23) (e22))) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H24a].
% 49.23/49.40 congruence.
% 49.23/49.40 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H24b | zenon_intro zenon_H24c ].
% 49.23/49.40 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((op2 (e22) (op2 (e23) (e22))) = (op2 (e22) (e23)))).
% 49.23/49.40 intro zenon_D_pnotp.
% 49.23/49.40 apply zenon_H24a.
% 49.23/49.40 rewrite <- zenon_D_pnotp.
% 49.23/49.40 exact zenon_H24b.
% 49.23/49.40 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H24c].
% 49.23/49.40 cut (((op2 (e22) (e23)) = (op2 (e22) (op2 (e23) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H24d].
% 49.23/49.40 congruence.
% 49.23/49.40 cut (((e23) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H230].
% 49.23/49.40 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1c2].
% 49.23/49.40 congruence.
% 49.23/49.40 apply zenon_H1c2. apply refl_equal.
% 49.23/49.40 apply zenon_H230. apply sym_equal. exact zenon_H229.
% 49.23/49.40 apply zenon_H24c. apply refl_equal.
% 49.23/49.40 apply zenon_H24c. apply refl_equal.
% 49.23/49.40 apply zenon_H249. apply sym_equal. exact zenon_H242.
% 49.23/49.40 (* end of lemma zenon_L190_ *)
% 49.23/49.40 assert (zenon_L191_ : (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> ((op2 (e21) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e22)) = (e23)) -> ((op2 (e23) (e23)) = (e22)) -> False).
% 49.23/49.40 do 0 intro. intros zenon_H218 zenon_H206 zenon_H225 zenon_H228 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H241 zenon_H229 zenon_H242.
% 49.23/49.40 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H217 | zenon_intro zenon_H24e ].
% 49.23/49.40 apply (zenon_L185_); trivial.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H227 | zenon_intro zenon_H24f ].
% 49.23/49.40 apply (zenon_L187_); trivial.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H237 | zenon_intro zenon_H240 ].
% 49.23/49.40 apply (zenon_L189_); trivial.
% 49.23/49.40 apply (zenon_L190_); trivial.
% 49.23/49.40 (* end of lemma zenon_L191_ *)
% 49.23/49.40 assert (zenon_L192_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> ((op2 (e23) (e20)) = (e20)) -> (~((e21) = (e22))) -> ((op2 (e23) (e21)) = (e21)) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> ((op2 (e21) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e22)) = (e23)) -> False).
% 49.23/49.40 do 0 intro. intros zenon_H250 zenon_H1f0 zenon_H20b zenon_H210 zenon_H20e zenon_H214 zenon_H213 zenon_H218 zenon_H206 zenon_H225 zenon_H228 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H241 zenon_H229.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H20c | zenon_intro zenon_H251 ].
% 49.23/49.40 apply (zenon_L181_); trivial.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H20f | zenon_intro zenon_H252 ].
% 49.23/49.40 apply (zenon_L182_); trivial.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H215 | zenon_intro zenon_H242 ].
% 49.23/49.40 apply (zenon_L183_); trivial.
% 49.23/49.40 apply (zenon_L191_); trivial.
% 49.23/49.40 (* end of lemma zenon_L192_ *)
% 49.23/49.40 assert (zenon_L193_ : (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((e21) = (e23))) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> ((op2 (e23) (e20)) = (e20)) -> (~((e21) = (e22))) -> ((op2 (e23) (e21)) = (e21)) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> ((op2 (e21) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> False).
% 49.23/49.40 do 0 intro. intros zenon_H253 zenon_H1d2 zenon_H1d0 zenon_H1fc zenon_H19b zenon_H205 zenon_H250 zenon_H1f0 zenon_H20b zenon_H210 zenon_H20e zenon_H214 zenon_H213 zenon_H218 zenon_H206 zenon_H225 zenon_H228 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H241.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H254 ].
% 49.23/49.40 apply (zenon_L169_); trivial.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1fb | zenon_intro zenon_H255 ].
% 49.23/49.40 apply (zenon_L178_); trivial.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H203 | zenon_intro zenon_H229 ].
% 49.23/49.40 apply (zenon_L180_); trivial.
% 49.23/49.40 apply (zenon_L192_); trivial.
% 49.23/49.40 (* end of lemma zenon_L193_ *)
% 49.23/49.40 assert (zenon_L194_ : ((op2 (e23) (e21)) = (e21)) -> ((op2 (e23) (e21)) = (e23)) -> (~((e21) = (e23))) -> False).
% 49.23/49.40 do 0 intro. intros zenon_H20e zenon_H256 zenon_H1d2.
% 49.23/49.40 elim (classic ((e23) = (e23))); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H1a9 ].
% 49.23/49.40 cut (((e23) = (e23)) = ((e21) = (e23))).
% 49.23/49.40 intro zenon_D_pnotp.
% 49.23/49.40 apply zenon_H1d2.
% 49.23/49.40 rewrite <- zenon_D_pnotp.
% 49.23/49.40 exact zenon_H1a8.
% 49.23/49.40 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1a9].
% 49.23/49.40 cut (((e23) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1d3].
% 49.23/49.40 congruence.
% 49.23/49.40 cut (((op2 (e23) (e21)) = (e21)) = ((e23) = (e21))).
% 49.23/49.40 intro zenon_D_pnotp.
% 49.23/49.40 apply zenon_H1d3.
% 49.23/49.40 rewrite <- zenon_D_pnotp.
% 49.23/49.40 exact zenon_H20e.
% 49.23/49.40 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1cb].
% 49.23/49.40 cut (((op2 (e23) (e21)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H257].
% 49.23/49.40 congruence.
% 49.23/49.40 exact (zenon_H257 zenon_H256).
% 49.23/49.40 apply zenon_H1cb. apply refl_equal.
% 49.23/49.40 apply zenon_H1a9. apply refl_equal.
% 49.23/49.40 apply zenon_H1a9. apply refl_equal.
% 49.23/49.40 (* end of lemma zenon_L194_ *)
% 49.23/49.40 assert (zenon_L195_ : ((op2 (e21) (e23)) = (e21)) -> ((op2 (e21) (e23)) = (e22)) -> (~((e21) = (e22))) -> False).
% 49.23/49.40 do 0 intro. intros zenon_H225 zenon_H258 zenon_H210.
% 49.23/49.40 elim (classic ((e22) = (e22))); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H1c2 ].
% 49.23/49.40 cut (((e22) = (e22)) = ((e21) = (e22))).
% 49.23/49.40 intro zenon_D_pnotp.
% 49.23/49.40 apply zenon_H210.
% 49.23/49.40 rewrite <- zenon_D_pnotp.
% 49.23/49.40 exact zenon_H1f1.
% 49.23/49.40 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1c2].
% 49.23/49.40 cut (((e22) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H211].
% 49.23/49.40 congruence.
% 49.23/49.40 cut (((op2 (e21) (e23)) = (e21)) = ((e22) = (e21))).
% 49.23/49.40 intro zenon_D_pnotp.
% 49.23/49.40 apply zenon_H211.
% 49.23/49.40 rewrite <- zenon_D_pnotp.
% 49.23/49.40 exact zenon_H225.
% 49.23/49.40 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1cb].
% 49.23/49.40 cut (((op2 (e21) (e23)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H259].
% 49.23/49.40 congruence.
% 49.23/49.40 exact (zenon_H259 zenon_H258).
% 49.23/49.40 apply zenon_H1cb. apply refl_equal.
% 49.23/49.40 apply zenon_H1c2. apply refl_equal.
% 49.23/49.40 apply zenon_H1c2. apply refl_equal.
% 49.23/49.40 (* end of lemma zenon_L195_ *)
% 49.23/49.40 assert (zenon_L196_ : (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e21) (e22)) = (e20)) -> False).
% 49.23/49.40 do 0 intro. intros zenon_H25a zenon_H14 zenon_H25b.
% 49.23/49.40 cut (((e20) = (op2 (e22) (e22))) = ((op2 (e21) (e22)) = (op2 (e22) (e22)))).
% 49.23/49.40 intro zenon_D_pnotp.
% 49.23/49.40 apply zenon_H25a.
% 49.23/49.40 rewrite <- zenon_D_pnotp.
% 49.23/49.40 exact zenon_H14.
% 49.23/49.40 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H1bf].
% 49.23/49.40 cut (((e20) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H25c].
% 49.23/49.40 congruence.
% 49.23/49.40 elim (classic ((op2 (e21) (e22)) = (op2 (e21) (e22)))); [ zenon_intro zenon_H1fd | zenon_intro zenon_H1fe ].
% 49.23/49.40 cut (((op2 (e21) (e22)) = (op2 (e21) (e22))) = ((e20) = (op2 (e21) (e22)))).
% 49.23/49.40 intro zenon_D_pnotp.
% 49.23/49.40 apply zenon_H25c.
% 49.23/49.40 rewrite <- zenon_D_pnotp.
% 49.23/49.40 exact zenon_H1fd.
% 49.23/49.40 cut (((op2 (e21) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H1fe].
% 49.23/49.40 cut (((op2 (e21) (e22)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H25d].
% 49.23/49.40 congruence.
% 49.23/49.40 exact (zenon_H25d zenon_H25b).
% 49.23/49.40 apply zenon_H1fe. apply refl_equal.
% 49.23/49.40 apply zenon_H1fe. apply refl_equal.
% 49.23/49.40 apply zenon_H1bf. apply refl_equal.
% 49.23/49.40 (* end of lemma zenon_L196_ *)
% 49.23/49.40 assert (zenon_L197_ : ((op2 (e20) (e22)) = (e21)) -> ((op2 (e20) (e22)) = (e22)) -> (~((e21) = (e22))) -> False).
% 49.23/49.40 do 0 intro. intros zenon_H1d0 zenon_H25e zenon_H210.
% 49.23/49.40 elim (classic ((e22) = (e22))); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H1c2 ].
% 49.23/49.40 cut (((e22) = (e22)) = ((e21) = (e22))).
% 49.23/49.40 intro zenon_D_pnotp.
% 49.23/49.40 apply zenon_H210.
% 49.23/49.40 rewrite <- zenon_D_pnotp.
% 49.23/49.40 exact zenon_H1f1.
% 49.23/49.40 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1c2].
% 49.23/49.40 cut (((e22) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H211].
% 49.23/49.40 congruence.
% 49.23/49.40 cut (((op2 (e20) (e22)) = (e21)) = ((e22) = (e21))).
% 49.23/49.40 intro zenon_D_pnotp.
% 49.23/49.40 apply zenon_H211.
% 49.23/49.40 rewrite <- zenon_D_pnotp.
% 49.23/49.40 exact zenon_H1d0.
% 49.23/49.40 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1cb].
% 49.23/49.40 cut (((op2 (e20) (e22)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H25f].
% 49.23/49.40 congruence.
% 49.23/49.40 exact (zenon_H25f zenon_H25e).
% 49.23/49.40 apply zenon_H1cb. apply refl_equal.
% 49.23/49.40 apply zenon_H1c2. apply refl_equal.
% 49.23/49.40 apply zenon_H1c2. apply refl_equal.
% 49.23/49.40 (* end of lemma zenon_L197_ *)
% 49.23/49.40 assert (zenon_L198_ : ((op2 (e20) (e23)) = (e21)) -> ((op2 (e20) (e23)) = (e23)) -> (~((e21) = (e23))) -> False).
% 49.23/49.40 do 0 intro. intros zenon_H260 zenon_H206 zenon_H1d2.
% 49.23/49.40 elim (classic ((e23) = (e23))); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H1a9 ].
% 49.23/49.40 cut (((e23) = (e23)) = ((e21) = (e23))).
% 49.23/49.40 intro zenon_D_pnotp.
% 49.23/49.40 apply zenon_H1d2.
% 49.23/49.40 rewrite <- zenon_D_pnotp.
% 49.23/49.40 exact zenon_H1a8.
% 49.23/49.40 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1a9].
% 49.23/49.40 cut (((e23) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1d3].
% 49.23/49.40 congruence.
% 49.23/49.40 cut (((op2 (e20) (e23)) = (e21)) = ((e23) = (e21))).
% 49.23/49.40 intro zenon_D_pnotp.
% 49.23/49.40 apply zenon_H1d3.
% 49.23/49.40 rewrite <- zenon_D_pnotp.
% 49.23/49.40 exact zenon_H260.
% 49.23/49.40 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1cb].
% 49.23/49.40 cut (((op2 (e20) (e23)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H20a].
% 49.23/49.40 congruence.
% 49.23/49.40 exact (zenon_H20a zenon_H206).
% 49.23/49.40 apply zenon_H1cb. apply refl_equal.
% 49.23/49.40 apply zenon_H1a9. apply refl_equal.
% 49.23/49.40 apply zenon_H1a9. apply refl_equal.
% 49.23/49.40 (* end of lemma zenon_L198_ *)
% 49.23/49.40 assert (zenon_L199_ : ((op2 (e21) (e23)) = (e20)) -> ((op2 (e21) (e23)) = (e21)) -> (~((e20) = (e21))) -> False).
% 49.23/49.40 do 0 intro. intros zenon_H261 zenon_H225 zenon_H1c9.
% 49.23/49.40 elim (classic ((e21) = (e21))); [ zenon_intro zenon_H1ca | zenon_intro zenon_H1cb ].
% 49.23/49.40 cut (((e21) = (e21)) = ((e20) = (e21))).
% 49.23/49.40 intro zenon_D_pnotp.
% 49.23/49.40 apply zenon_H1c9.
% 49.23/49.40 rewrite <- zenon_D_pnotp.
% 49.23/49.40 exact zenon_H1ca.
% 49.23/49.40 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1cb].
% 49.23/49.40 cut (((e21) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H1cc].
% 49.23/49.40 congruence.
% 49.23/49.40 cut (((op2 (e21) (e23)) = (e20)) = ((e21) = (e20))).
% 49.23/49.40 intro zenon_D_pnotp.
% 49.23/49.40 apply zenon_H1cc.
% 49.23/49.40 rewrite <- zenon_D_pnotp.
% 49.23/49.40 exact zenon_H261.
% 49.23/49.40 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H1a4].
% 49.23/49.40 cut (((op2 (e21) (e23)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H262].
% 49.23/49.40 congruence.
% 49.23/49.40 exact (zenon_H262 zenon_H225).
% 49.23/49.40 apply zenon_H1a4. apply refl_equal.
% 49.23/49.40 apply zenon_H1cb. apply refl_equal.
% 49.23/49.40 apply zenon_H1cb. apply refl_equal.
% 49.23/49.40 (* end of lemma zenon_L199_ *)
% 49.23/49.40 assert (zenon_L200_ : ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((op2 (e22) (e23)) = (e21)) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> False).
% 49.23/49.40 do 0 intro. intros zenon_H19b zenon_H263 zenon_H14 zenon_H264.
% 49.23/49.40 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H24b | zenon_intro zenon_H24c ].
% 49.23/49.40 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((op2 (e22) (e20)) = (op2 (e22) (e23)))).
% 49.23/49.40 intro zenon_D_pnotp.
% 49.23/49.40 apply zenon_H264.
% 49.23/49.40 rewrite <- zenon_D_pnotp.
% 49.23/49.40 exact zenon_H24b.
% 49.23/49.40 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H24c].
% 49.23/49.40 cut (((op2 (e22) (e23)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H265].
% 49.23/49.40 congruence.
% 49.23/49.40 cut (((e21) = (op2 (e22) (op2 (e22) (e22)))) = ((op2 (e22) (e23)) = (op2 (e22) (e20)))).
% 49.23/49.40 intro zenon_D_pnotp.
% 49.23/49.40 apply zenon_H265.
% 49.23/49.40 rewrite <- zenon_D_pnotp.
% 49.23/49.40 exact zenon_H19b.
% 49.23/49.40 cut (((op2 (e22) (op2 (e22) (e22))) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1c3].
% 49.23/49.40 cut (((e21) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H266].
% 49.23/49.40 congruence.
% 49.23/49.40 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H24b | zenon_intro zenon_H24c ].
% 49.23/49.40 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((e21) = (op2 (e22) (e23)))).
% 49.23/49.40 intro zenon_D_pnotp.
% 49.23/49.40 apply zenon_H266.
% 49.23/49.40 rewrite <- zenon_D_pnotp.
% 49.23/49.40 exact zenon_H24b.
% 49.23/49.40 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H24c].
% 49.23/49.40 cut (((op2 (e22) (e23)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H267].
% 49.23/49.40 congruence.
% 49.23/49.40 exact (zenon_H267 zenon_H263).
% 49.23/49.40 apply zenon_H24c. apply refl_equal.
% 49.23/49.40 apply zenon_H24c. apply refl_equal.
% 49.23/49.40 apply (zenon_L164_); trivial.
% 49.23/49.40 apply zenon_H24c. apply refl_equal.
% 49.23/49.40 apply zenon_H24c. apply refl_equal.
% 49.23/49.40 (* end of lemma zenon_L200_ *)
% 49.23/49.40 assert (zenon_L201_ : (((op2 (e20) (op2 (e21) (e20))) = (e20))/\(((op2 (e21) (op2 (e21) (e21))) = (e21))/\(((op2 (e22) (op2 (e21) (e22))) = (e22))/\((op2 (e23) (op2 (e21) (e23))) = (e23))))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> False).
% 49.23/49.40 do 0 intro. intros zenon_H227 zenon_H214 zenon_H25a.
% 49.23/49.40 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H22b. zenon_intro zenon_H22a.
% 49.23/49.40 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H22d. zenon_intro zenon_H22c.
% 49.23/49.40 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H22f. zenon_intro zenon_H22e.
% 49.23/49.40 elim (classic ((op2 (e22) (e22)) = (op2 (e22) (e22)))); [ zenon_intro zenon_H268 | zenon_intro zenon_H1bf ].
% 49.23/49.40 cut (((op2 (e22) (e22)) = (op2 (e22) (e22))) = ((op2 (e21) (e22)) = (op2 (e22) (e22)))).
% 49.23/49.40 intro zenon_D_pnotp.
% 49.23/49.40 apply zenon_H25a.
% 49.23/49.40 rewrite <- zenon_D_pnotp.
% 49.23/49.40 exact zenon_H268.
% 49.23/49.40 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H1bf].
% 49.23/49.40 cut (((op2 (e22) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H269].
% 49.23/49.40 congruence.
% 49.23/49.40 cut (((op2 (e22) (op2 (e21) (e22))) = (e22)) = ((op2 (e22) (e22)) = (op2 (e21) (e22)))).
% 49.23/49.40 intro zenon_D_pnotp.
% 49.23/49.40 apply zenon_H269.
% 49.23/49.40 rewrite <- zenon_D_pnotp.
% 49.23/49.40 exact zenon_H22f.
% 49.23/49.40 cut (((e22) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H26a].
% 49.23/49.40 cut (((op2 (e22) (op2 (e21) (e22))) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H26b].
% 49.23/49.40 congruence.
% 49.23/49.40 elim (classic ((op2 (e22) (e22)) = (op2 (e22) (e22)))); [ zenon_intro zenon_H268 | zenon_intro zenon_H1bf ].
% 49.23/49.40 cut (((op2 (e22) (e22)) = (op2 (e22) (e22))) = ((op2 (e22) (op2 (e21) (e22))) = (op2 (e22) (e22)))).
% 49.23/49.40 intro zenon_D_pnotp.
% 49.23/49.40 apply zenon_H26b.
% 49.23/49.40 rewrite <- zenon_D_pnotp.
% 49.23/49.40 exact zenon_H268.
% 49.23/49.40 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H1bf].
% 49.23/49.40 cut (((op2 (e22) (e22)) = (op2 (e22) (op2 (e21) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H26c].
% 49.23/49.40 congruence.
% 49.23/49.40 cut (((e22) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H26a].
% 49.23/49.40 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1c2].
% 49.23/49.40 congruence.
% 49.23/49.40 apply zenon_H1c2. apply refl_equal.
% 49.23/49.40 apply zenon_H26a. apply sym_equal. exact zenon_H214.
% 49.23/49.40 apply zenon_H1bf. apply refl_equal.
% 49.23/49.40 apply zenon_H1bf. apply refl_equal.
% 49.23/49.40 apply zenon_H26a. apply sym_equal. exact zenon_H214.
% 49.23/49.40 apply zenon_H1bf. apply refl_equal.
% 49.23/49.40 apply zenon_H1bf. apply refl_equal.
% 49.23/49.40 (* end of lemma zenon_L201_ *)
% 49.23/49.40 assert (zenon_L202_ : (((op2 (e20) (op2 (e23) (e20))) = (e20))/\(((op2 (e21) (op2 (e23) (e21))) = (e21))/\(((op2 (e22) (op2 (e23) (e22))) = (e22))/\((op2 (e23) (op2 (e23) (e23))) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e23)) = (e21)) -> ((op2 (e23) (e22)) = (e23)) -> False).
% 49.23/49.40 do 0 intro. intros zenon_H240 zenon_H228 zenon_H26d zenon_H229.
% 49.23/49.40 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H244. zenon_intro zenon_H243.
% 49.23/49.40 apply (zenon_and_s _ _ zenon_H243). zenon_intro zenon_H246. zenon_intro zenon_H245.
% 49.23/49.40 apply (zenon_and_s _ _ zenon_H245). zenon_intro zenon_H248. zenon_intro zenon_H247.
% 49.23/49.40 cut (((op2 (e23) (op2 (e23) (e23))) = (e23)) = ((op2 (e23) (e21)) = (op2 (e23) (e22)))).
% 49.23/49.40 intro zenon_D_pnotp.
% 49.23/49.40 apply zenon_H228.
% 49.23/49.40 rewrite <- zenon_D_pnotp.
% 49.23/49.40 exact zenon_H247.
% 49.23/49.40 cut (((e23) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H230].
% 49.23/49.40 cut (((op2 (e23) (op2 (e23) (e23))) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H26e].
% 49.23/49.40 congruence.
% 49.23/49.40 elim (classic ((op2 (e23) (e21)) = (op2 (e23) (e21)))); [ zenon_intro zenon_H232 | zenon_intro zenon_H233 ].
% 49.23/49.40 cut (((op2 (e23) (e21)) = (op2 (e23) (e21))) = ((op2 (e23) (op2 (e23) (e23))) = (op2 (e23) (e21)))).
% 49.23/49.40 intro zenon_D_pnotp.
% 49.23/49.40 apply zenon_H26e.
% 49.23/49.40 rewrite <- zenon_D_pnotp.
% 49.23/49.40 exact zenon_H232.
% 49.23/49.40 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H233].
% 49.23/49.40 cut (((op2 (e23) (e21)) = (op2 (e23) (op2 (e23) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H26f].
% 49.23/49.40 congruence.
% 49.23/49.40 cut (((e21) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H270].
% 49.23/49.40 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1a9].
% 49.23/49.40 congruence.
% 49.23/49.40 apply zenon_H1a9. apply refl_equal.
% 49.23/49.40 apply zenon_H270. apply sym_equal. exact zenon_H26d.
% 49.23/49.40 apply zenon_H233. apply refl_equal.
% 49.23/49.40 apply zenon_H233. apply refl_equal.
% 49.23/49.40 apply zenon_H230. apply sym_equal. exact zenon_H229.
% 49.23/49.40 (* end of lemma zenon_L202_ *)
% 49.23/49.40 assert (zenon_L203_ : (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e23)) = (e21)) -> ((op2 (e23) (e22)) = (e23)) -> False).
% 49.23/49.40 do 0 intro. intros zenon_H218 zenon_H206 zenon_H25a zenon_H214 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H228 zenon_H26d zenon_H229.
% 49.23/49.40 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H217 | zenon_intro zenon_H24e ].
% 49.23/49.40 apply (zenon_L185_); trivial.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H227 | zenon_intro zenon_H24f ].
% 49.23/49.40 apply (zenon_L201_); trivial.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H237 | zenon_intro zenon_H240 ].
% 49.23/49.40 apply (zenon_L189_); trivial.
% 49.23/49.40 apply (zenon_L202_); trivial.
% 49.23/49.40 (* end of lemma zenon_L203_ *)
% 49.23/49.40 assert (zenon_L204_ : (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e21) = (e23))) -> (~((e20) = (e21))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e23)) -> False).
% 49.23/49.40 do 0 intro. intros zenon_H271 zenon_H1d2 zenon_H1c9 zenon_H261 zenon_H264 zenon_H19b zenon_H218 zenon_H206 zenon_H25a zenon_H214 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H228 zenon_H229.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H260 | zenon_intro zenon_H272 ].
% 49.23/49.40 apply (zenon_L198_); trivial.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H225 | zenon_intro zenon_H273 ].
% 49.23/49.40 apply (zenon_L199_); trivial.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H263 | zenon_intro zenon_H26d ].
% 49.23/49.40 apply (zenon_L200_); trivial.
% 49.23/49.40 apply (zenon_L203_); trivial.
% 49.23/49.40 (* end of lemma zenon_L204_ *)
% 49.23/49.40 assert (zenon_L205_ : (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e21) = (e23))) -> (~((e20) = (e21))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False).
% 49.23/49.40 do 0 intro. intros zenon_H253 zenon_H1d0 zenon_H1fc zenon_H205 zenon_H271 zenon_H1d2 zenon_H1c9 zenon_H261 zenon_H264 zenon_H19b zenon_H218 zenon_H206 zenon_H25a zenon_H214 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H228.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H254 ].
% 49.23/49.40 apply (zenon_L169_); trivial.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1fb | zenon_intro zenon_H255 ].
% 49.23/49.40 apply (zenon_L178_); trivial.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H203 | zenon_intro zenon_H229 ].
% 49.23/49.40 apply (zenon_L180_); trivial.
% 49.23/49.40 apply (zenon_L204_); trivial.
% 49.23/49.40 (* end of lemma zenon_L205_ *)
% 49.23/49.40 assert (zenon_L206_ : (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> ((op2 (e22) (e23)) = (e23)) -> False).
% 49.23/49.40 do 0 intro. intros zenon_H274 zenon_H206 zenon_H275.
% 49.23/49.40 cut (((op2 (e20) (e23)) = (e23)) = ((op2 (e20) (e23)) = (op2 (e22) (e23)))).
% 49.23/49.40 intro zenon_D_pnotp.
% 49.23/49.40 apply zenon_H274.
% 49.23/49.40 rewrite <- zenon_D_pnotp.
% 49.23/49.40 exact zenon_H206.
% 49.23/49.40 cut (((e23) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H276].
% 49.23/49.40 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H209].
% 49.23/49.40 congruence.
% 49.23/49.40 apply zenon_H209. apply refl_equal.
% 49.23/49.40 apply zenon_H276. apply sym_equal. exact zenon_H275.
% 49.23/49.40 (* end of lemma zenon_L206_ *)
% 49.23/49.40 assert (zenon_L207_ : (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((e20) = (e21))) -> (~((e21) = (e23))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> False).
% 49.23/49.40 do 0 intro. intros zenon_H277 zenon_H1ad zenon_H228 zenon_H14 zenon_H1e6 zenon_H214 zenon_H25a zenon_H218 zenon_H264 zenon_H261 zenon_H1c9 zenon_H1d2 zenon_H271 zenon_H1fc zenon_H1d0 zenon_H253 zenon_H19b zenon_H19e zenon_H205 zenon_H274 zenon_H206.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H1ac | zenon_intro zenon_H278 ].
% 49.23/49.40 apply (zenon_L159_); trivial.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H238 | zenon_intro zenon_H279 ].
% 49.23/49.40 apply (zenon_L205_); trivial.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H203 | zenon_intro zenon_H275 ].
% 49.23/49.40 apply (zenon_L180_); trivial.
% 49.23/49.40 apply (zenon_L206_); trivial.
% 49.23/49.40 (* end of lemma zenon_L207_ *)
% 49.23/49.40 assert (zenon_L208_ : (~((op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22))) = (op2 (e21) (e22)))) -> ((op2 (e22) (e22)) = (e22)) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> False).
% 49.23/49.40 do 0 intro. intros zenon_H27a zenon_H27b zenon_H19b.
% 49.23/49.40 cut (((op2 (e22) (e22)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H27c].
% 49.23/49.40 cut (((op2 (e22) (op2 (e22) (e22))) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H19c].
% 49.23/49.40 congruence.
% 49.23/49.40 apply zenon_H19c. apply sym_equal. exact zenon_H19b.
% 49.23/49.40 exact (zenon_H27c zenon_H27b).
% 49.23/49.40 (* end of lemma zenon_L208_ *)
% 49.23/49.40 assert (zenon_L209_ : (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> ((op2 (e22) (e22)) = (e22)) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> False).
% 49.23/49.40 do 0 intro. intros zenon_H1dd zenon_H19e zenon_H1d1 zenon_H27b zenon_H19b.
% 49.23/49.40 cut (((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) = ((op2 (e20) (e22)) = (op2 (e21) (e22)))).
% 49.23/49.40 intro zenon_D_pnotp.
% 49.23/49.40 apply zenon_H1dd.
% 49.23/49.40 rewrite <- zenon_D_pnotp.
% 49.23/49.40 exact zenon_H19e.
% 49.23/49.40 cut (((op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22))) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H27a].
% 49.23/49.40 cut (((e23) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H27d].
% 49.23/49.40 congruence.
% 49.23/49.40 elim (classic ((op2 (e20) (e22)) = (op2 (e20) (e22)))); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H1e0 ].
% 49.23/49.40 cut (((op2 (e20) (e22)) = (op2 (e20) (e22))) = ((e23) = (op2 (e20) (e22)))).
% 49.23/49.40 intro zenon_D_pnotp.
% 49.23/49.40 apply zenon_H27d.
% 49.23/49.40 rewrite <- zenon_D_pnotp.
% 49.23/49.40 exact zenon_H1e2.
% 49.23/49.40 cut (((op2 (e20) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H1e0].
% 49.23/49.40 cut (((op2 (e20) (e22)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1d4].
% 49.23/49.40 congruence.
% 49.23/49.40 exact (zenon_H1d4 zenon_H1d1).
% 49.23/49.40 apply zenon_H1e0. apply refl_equal.
% 49.23/49.40 apply zenon_H1e0. apply refl_equal.
% 49.23/49.40 apply (zenon_L208_); trivial.
% 49.23/49.40 (* end of lemma zenon_L209_ *)
% 49.23/49.40 assert (zenon_L210_ : ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e23) (e22)) = (e23)) -> ((op2 (e22) (e22)) = (e22)) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> False).
% 49.23/49.40 do 0 intro. intros zenon_H19e zenon_H229 zenon_H27b zenon_H19b zenon_H213.
% 49.23/49.40 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_H27e | zenon_intro zenon_H27f ].
% 49.23/49.40 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((op2 (e21) (e22)) = (op2 (e23) (e22)))).
% 49.23/49.40 intro zenon_D_pnotp.
% 49.23/49.40 apply zenon_H213.
% 49.23/49.40 rewrite <- zenon_D_pnotp.
% 49.23/49.40 exact zenon_H27e.
% 49.23/49.40 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H27f].
% 49.23/49.40 cut (((op2 (e23) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H280].
% 49.23/49.40 congruence.
% 49.23/49.40 cut (((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) = ((op2 (e23) (e22)) = (op2 (e21) (e22)))).
% 49.23/49.40 intro zenon_D_pnotp.
% 49.23/49.40 apply zenon_H280.
% 49.23/49.40 rewrite <- zenon_D_pnotp.
% 49.23/49.40 exact zenon_H19e.
% 49.23/49.40 cut (((op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22))) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H27a].
% 49.23/49.40 cut (((e23) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H230].
% 49.23/49.40 congruence.
% 49.23/49.40 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_H27e | zenon_intro zenon_H27f ].
% 49.23/49.40 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((e23) = (op2 (e23) (e22)))).
% 49.23/49.40 intro zenon_D_pnotp.
% 49.23/49.40 apply zenon_H230.
% 49.23/49.40 rewrite <- zenon_D_pnotp.
% 49.23/49.40 exact zenon_H27e.
% 49.23/49.40 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H27f].
% 49.23/49.40 cut (((op2 (e23) (e22)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H281].
% 49.23/49.40 congruence.
% 49.23/49.40 exact (zenon_H281 zenon_H229).
% 49.23/49.40 apply zenon_H27f. apply refl_equal.
% 49.23/49.40 apply zenon_H27f. apply refl_equal.
% 49.23/49.40 apply (zenon_L208_); trivial.
% 49.23/49.40 apply zenon_H27f. apply refl_equal.
% 49.23/49.40 apply zenon_H27f. apply refl_equal.
% 49.23/49.40 (* end of lemma zenon_L210_ *)
% 49.23/49.40 assert (zenon_L211_ : (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e20) (e23)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e22) (e22)) = (e22)) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> False).
% 49.23/49.40 do 0 intro. intros zenon_H253 zenon_H1dd zenon_H1fc zenon_H14 zenon_H206 zenon_H205 zenon_H19e zenon_H27b zenon_H19b zenon_H213.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H254 ].
% 49.23/49.40 apply (zenon_L209_); trivial.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1fb | zenon_intro zenon_H255 ].
% 49.23/49.40 apply (zenon_L178_); trivial.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H203 | zenon_intro zenon_H229 ].
% 49.23/49.40 apply (zenon_L180_); trivial.
% 49.23/49.40 apply (zenon_L210_); trivial.
% 49.23/49.40 (* end of lemma zenon_L211_ *)
% 49.23/49.40 assert (zenon_L212_ : (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e23) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> False).
% 49.23/49.40 do 0 intro. intros zenon_H282 zenon_H25a zenon_H1d0 zenon_H1dd zenon_H215 zenon_H213 zenon_H19e zenon_H14 zenon_H19b zenon_H1fc.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H25b | zenon_intro zenon_H283 ].
% 49.23/49.40 apply (zenon_L196_); trivial.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H1de | zenon_intro zenon_H284 ].
% 49.23/49.40 apply (zenon_L172_); trivial.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_H214 | zenon_intro zenon_H1fb ].
% 49.23/49.40 apply (zenon_L183_); trivial.
% 49.23/49.40 apply (zenon_L178_); trivial.
% 49.23/49.40 (* end of lemma zenon_L212_ *)
% 49.23/49.40 assert (zenon_L213_ : (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e21) = (e23))) -> (~((e20) = (e21))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> False).
% 49.23/49.40 do 0 intro. intros zenon_H285 zenon_H210 zenon_H274 zenon_H271 zenon_H1d2 zenon_H1c9 zenon_H261 zenon_H264 zenon_H218 zenon_H1e6 zenon_H228 zenon_H1ad zenon_H277 zenon_H205 zenon_H206 zenon_H253 zenon_H282 zenon_H25a zenon_H1d0 zenon_H1dd zenon_H213 zenon_H19e zenon_H14 zenon_H19b zenon_H1fc.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H25e | zenon_intro zenon_H286 ].
% 49.23/49.40 apply (zenon_L197_); trivial.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H214 | zenon_intro zenon_H287 ].
% 49.23/49.40 apply (zenon_L207_); trivial.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H27b | zenon_intro zenon_H215 ].
% 49.23/49.40 apply (zenon_L211_); trivial.
% 49.23/49.40 apply (zenon_L212_); trivial.
% 49.23/49.40 (* end of lemma zenon_L213_ *)
% 49.23/49.40 assert (zenon_L214_ : ((op2 (e20) (e21)) = (e20)) -> ((op2 (e20) (e21)) = (e22)) -> (~((e20) = (e22))) -> False).
% 49.23/49.40 do 0 intro. intros zenon_H193 zenon_H288 zenon_H1f0.
% 49.23/49.40 elim (classic ((e22) = (e22))); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H1c2 ].
% 49.23/49.40 cut (((e22) = (e22)) = ((e20) = (e22))).
% 49.23/49.40 intro zenon_D_pnotp.
% 49.23/49.40 apply zenon_H1f0.
% 49.23/49.40 rewrite <- zenon_D_pnotp.
% 49.23/49.40 exact zenon_H1f1.
% 49.23/49.40 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1c2].
% 49.23/49.40 cut (((e22) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H1f2].
% 49.23/49.40 congruence.
% 49.23/49.40 cut (((op2 (e20) (e21)) = (e20)) = ((e22) = (e20))).
% 49.23/49.40 intro zenon_D_pnotp.
% 49.23/49.40 apply zenon_H1f2.
% 49.23/49.40 rewrite <- zenon_D_pnotp.
% 49.23/49.40 exact zenon_H193.
% 49.23/49.40 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H1a4].
% 49.23/49.40 cut (((op2 (e20) (e21)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H289].
% 49.23/49.40 congruence.
% 49.23/49.40 exact (zenon_H289 zenon_H288).
% 49.23/49.40 apply zenon_H1a4. apply refl_equal.
% 49.23/49.40 apply zenon_H1c2. apply refl_equal.
% 49.23/49.40 apply zenon_H1c2. apply refl_equal.
% 49.23/49.40 (* end of lemma zenon_L214_ *)
% 49.23/49.40 assert (zenon_L215_ : ((op2 (e20) (e23)) = (e22)) -> ((op2 (e20) (e23)) = (e23)) -> (~((e22) = (e23))) -> False).
% 49.23/49.40 do 0 intro. intros zenon_H28a zenon_H206 zenon_H28b.
% 49.23/49.40 elim (classic ((e23) = (e23))); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H1a9 ].
% 49.23/49.40 cut (((e23) = (e23)) = ((e22) = (e23))).
% 49.23/49.40 intro zenon_D_pnotp.
% 49.23/49.40 apply zenon_H28b.
% 49.23/49.40 rewrite <- zenon_D_pnotp.
% 49.23/49.40 exact zenon_H1a8.
% 49.23/49.40 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1a9].
% 49.23/49.40 cut (((e23) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H28c].
% 49.23/49.40 congruence.
% 49.23/49.40 cut (((op2 (e20) (e23)) = (e22)) = ((e23) = (e22))).
% 49.23/49.40 intro zenon_D_pnotp.
% 49.23/49.40 apply zenon_H28c.
% 49.23/49.40 rewrite <- zenon_D_pnotp.
% 49.23/49.40 exact zenon_H28a.
% 49.23/49.40 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1c2].
% 49.23/49.40 cut (((op2 (e20) (e23)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H20a].
% 49.23/49.40 congruence.
% 49.23/49.40 exact (zenon_H20a zenon_H206).
% 49.23/49.40 apply zenon_H1c2. apply refl_equal.
% 49.23/49.40 apply zenon_H1a9. apply refl_equal.
% 49.23/49.40 apply zenon_H1a9. apply refl_equal.
% 49.23/49.40 (* end of lemma zenon_L215_ *)
% 49.23/49.40 assert (zenon_L216_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((e20) = (e23))) -> ((op2 (e20) (e21)) = (e20)) -> (~((e21) = (e23))) -> ((op2 (e20) (e22)) = (e21)) -> ((op2 (e20) (e23)) = (e22)) -> (~((e22) = (e23))) -> False).
% 49.23/49.40 do 0 intro. intros zenon_H28d zenon_H19b zenon_H14 zenon_H19e zenon_H19d zenon_H1a7 zenon_H193 zenon_H1d2 zenon_H1d0 zenon_H28a zenon_H28b.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H19f | zenon_intro zenon_H28e ].
% 49.23/49.40 apply (zenon_L156_); trivial.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28f ].
% 49.23/49.40 apply (zenon_L167_); trivial.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H206 ].
% 49.23/49.40 apply (zenon_L169_); trivial.
% 49.23/49.40 apply (zenon_L215_); trivial.
% 49.23/49.40 (* end of lemma zenon_L216_ *)
% 49.23/49.40 assert (zenon_L217_ : ((e20) = (op2 (e22) (e22))) -> ((op2 (e23) (e22)) = (e20)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> False).
% 49.23/49.40 do 0 intro. intros zenon_H14 zenon_H290 zenon_H291.
% 49.23/49.40 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_H27e | zenon_intro zenon_H27f ].
% 49.23/49.40 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((op2 (e22) (e22)) = (op2 (e23) (e22)))).
% 49.23/49.40 intro zenon_D_pnotp.
% 49.23/49.40 apply zenon_H291.
% 49.23/49.40 rewrite <- zenon_D_pnotp.
% 49.23/49.40 exact zenon_H27e.
% 49.23/49.40 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H27f].
% 49.23/49.40 cut (((op2 (e23) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H292].
% 49.23/49.40 congruence.
% 49.23/49.40 cut (((e20) = (op2 (e22) (e22))) = ((op2 (e23) (e22)) = (op2 (e22) (e22)))).
% 49.23/49.40 intro zenon_D_pnotp.
% 49.23/49.40 apply zenon_H292.
% 49.23/49.40 rewrite <- zenon_D_pnotp.
% 49.23/49.40 exact zenon_H14.
% 49.23/49.40 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H1bf].
% 49.23/49.40 cut (((e20) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H293].
% 49.23/49.40 congruence.
% 49.23/49.40 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_H27e | zenon_intro zenon_H27f ].
% 49.23/49.40 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((e20) = (op2 (e23) (e22)))).
% 49.23/49.40 intro zenon_D_pnotp.
% 49.23/49.40 apply zenon_H293.
% 49.23/49.40 rewrite <- zenon_D_pnotp.
% 49.23/49.40 exact zenon_H27e.
% 49.23/49.40 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H27f].
% 49.23/49.40 cut (((op2 (e23) (e22)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H294].
% 49.23/49.40 congruence.
% 49.23/49.40 exact (zenon_H294 zenon_H290).
% 49.23/49.40 apply zenon_H27f. apply refl_equal.
% 49.23/49.40 apply zenon_H27f. apply refl_equal.
% 49.23/49.40 apply zenon_H1bf. apply refl_equal.
% 49.23/49.40 apply zenon_H27f. apply refl_equal.
% 49.23/49.40 apply zenon_H27f. apply refl_equal.
% 49.23/49.40 (* end of lemma zenon_L217_ *)
% 49.23/49.40 assert (zenon_L218_ : (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e22)) = (e21)) -> ((op2 (e23) (e22)) = (e21)) -> False).
% 49.23/49.40 do 0 intro. intros zenon_H213 zenon_H1de zenon_H295.
% 49.23/49.40 cut (((op2 (e21) (e22)) = (e21)) = ((op2 (e21) (e22)) = (op2 (e23) (e22)))).
% 49.23/49.40 intro zenon_D_pnotp.
% 49.23/49.40 apply zenon_H213.
% 49.23/49.40 rewrite <- zenon_D_pnotp.
% 49.23/49.40 exact zenon_H1de.
% 49.23/49.40 cut (((e21) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H296].
% 49.23/49.40 cut (((op2 (e21) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H1fe].
% 49.23/49.40 congruence.
% 49.23/49.40 apply zenon_H1fe. apply refl_equal.
% 49.23/49.40 apply zenon_H296. apply sym_equal. exact zenon_H295.
% 49.23/49.40 (* end of lemma zenon_L218_ *)
% 49.23/49.40 assert (zenon_L219_ : (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> ((op2 (e23) (e22)) = (e23)) -> False).
% 49.23/49.40 do 0 intro. intros zenon_H297 zenon_H1d1 zenon_H229.
% 49.23/49.40 cut (((op2 (e20) (e22)) = (e23)) = ((op2 (e20) (e22)) = (op2 (e23) (e22)))).
% 49.23/49.40 intro zenon_D_pnotp.
% 49.23/49.40 apply zenon_H297.
% 49.23/49.40 rewrite <- zenon_D_pnotp.
% 49.23/49.40 exact zenon_H1d1.
% 49.23/49.40 cut (((e23) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H230].
% 49.23/49.40 cut (((op2 (e20) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H1e0].
% 49.23/49.40 congruence.
% 49.23/49.40 apply zenon_H1e0. apply refl_equal.
% 49.23/49.40 apply zenon_H230. apply sym_equal. exact zenon_H229.
% 49.23/49.40 (* end of lemma zenon_L219_ *)
% 49.23/49.40 assert (zenon_L220_ : (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e21) (e22)) = (e21)) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> False).
% 49.23/49.40 do 0 intro. intros zenon_H298 zenon_H291 zenon_H14 zenon_H1de zenon_H214 zenon_H213 zenon_H297 zenon_H1d1.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H298); [ zenon_intro zenon_H290 | zenon_intro zenon_H299 ].
% 49.23/49.40 apply (zenon_L217_); trivial.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H295 | zenon_intro zenon_H29a ].
% 49.23/49.40 apply (zenon_L218_); trivial.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H215 | zenon_intro zenon_H229 ].
% 49.23/49.40 apply (zenon_L183_); trivial.
% 49.23/49.40 apply (zenon_L219_); trivial.
% 49.23/49.40 (* end of lemma zenon_L220_ *)
% 49.23/49.40 assert (zenon_L221_ : ((op2 (e20) (e22)) = (e22)) -> ((op2 (e20) (e22)) = (e23)) -> (~((e22) = (e23))) -> False).
% 49.23/49.40 do 0 intro. intros zenon_H25e zenon_H1d1 zenon_H28b.
% 49.23/49.40 elim (classic ((e23) = (e23))); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H1a9 ].
% 49.23/49.40 cut (((e23) = (e23)) = ((e22) = (e23))).
% 49.23/49.40 intro zenon_D_pnotp.
% 49.23/49.40 apply zenon_H28b.
% 49.23/49.40 rewrite <- zenon_D_pnotp.
% 49.23/49.40 exact zenon_H1a8.
% 49.23/49.40 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1a9].
% 49.23/49.40 cut (((e23) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H28c].
% 49.23/49.40 congruence.
% 49.23/49.40 cut (((op2 (e20) (e22)) = (e22)) = ((e23) = (e22))).
% 49.23/49.40 intro zenon_D_pnotp.
% 49.23/49.40 apply zenon_H28c.
% 49.23/49.40 rewrite <- zenon_D_pnotp.
% 49.23/49.40 exact zenon_H25e.
% 49.23/49.40 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1c2].
% 49.23/49.40 cut (((op2 (e20) (e22)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1d4].
% 49.23/49.40 congruence.
% 49.23/49.40 exact (zenon_H1d4 zenon_H1d1).
% 49.23/49.40 apply zenon_H1c2. apply refl_equal.
% 49.23/49.40 apply zenon_H1a9. apply refl_equal.
% 49.23/49.40 apply zenon_H1a9. apply refl_equal.
% 49.23/49.40 (* end of lemma zenon_L221_ *)
% 49.23/49.40 assert (zenon_L222_ : ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((op2 (e23) (e20)) = (e21)) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> False).
% 49.23/49.40 do 0 intro. intros zenon_H19b zenon_H29b zenon_H14 zenon_H29c.
% 49.23/49.40 elim (classic ((op2 (e23) (e20)) = (op2 (e23) (e20)))); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1b6 ].
% 49.23/49.40 cut (((op2 (e23) (e20)) = (op2 (e23) (e20))) = ((op2 (e22) (e20)) = (op2 (e23) (e20)))).
% 49.23/49.40 intro zenon_D_pnotp.
% 49.23/49.40 apply zenon_H29c.
% 49.23/49.40 rewrite <- zenon_D_pnotp.
% 49.23/49.40 exact zenon_H1b5.
% 49.23/49.40 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1b6].
% 49.23/49.40 cut (((op2 (e23) (e20)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H29d].
% 49.23/49.40 congruence.
% 49.23/49.40 cut (((e21) = (op2 (e22) (op2 (e22) (e22)))) = ((op2 (e23) (e20)) = (op2 (e22) (e20)))).
% 49.23/49.40 intro zenon_D_pnotp.
% 49.23/49.40 apply zenon_H29d.
% 49.23/49.40 rewrite <- zenon_D_pnotp.
% 49.23/49.40 exact zenon_H19b.
% 49.23/49.40 cut (((op2 (e22) (op2 (e22) (e22))) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1c3].
% 49.23/49.40 cut (((e21) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H29e].
% 49.23/49.40 congruence.
% 49.23/49.40 elim (classic ((op2 (e23) (e20)) = (op2 (e23) (e20)))); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1b6 ].
% 49.23/49.40 cut (((op2 (e23) (e20)) = (op2 (e23) (e20))) = ((e21) = (op2 (e23) (e20)))).
% 49.23/49.40 intro zenon_D_pnotp.
% 49.23/49.40 apply zenon_H29e.
% 49.23/49.40 rewrite <- zenon_D_pnotp.
% 49.23/49.40 exact zenon_H1b5.
% 49.23/49.40 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1b6].
% 49.23/49.40 cut (((op2 (e23) (e20)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H29f].
% 49.23/49.40 congruence.
% 49.23/49.40 exact (zenon_H29f zenon_H29b).
% 49.23/49.40 apply zenon_H1b6. apply refl_equal.
% 49.23/49.40 apply zenon_H1b6. apply refl_equal.
% 49.23/49.40 apply (zenon_L164_); trivial.
% 49.23/49.40 apply zenon_H1b6. apply refl_equal.
% 49.23/49.40 apply zenon_H1b6. apply refl_equal.
% 49.23/49.40 (* end of lemma zenon_L222_ *)
% 49.23/49.40 assert (zenon_L223_ : (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e21)) -> ((op2 (e23) (e23)) = (e21)) -> False).
% 49.23/49.40 do 0 intro. intros zenon_H218 zenon_H260 zenon_H26d.
% 49.23/49.40 cut (((op2 (e20) (e23)) = (e21)) = ((op2 (e20) (e23)) = (op2 (e23) (e23)))).
% 49.23/49.40 intro zenon_D_pnotp.
% 49.23/49.40 apply zenon_H218.
% 49.23/49.40 rewrite <- zenon_D_pnotp.
% 49.23/49.40 exact zenon_H260.
% 49.23/49.40 cut (((e21) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H270].
% 49.23/49.40 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H209].
% 49.23/49.40 congruence.
% 49.23/49.40 apply zenon_H209. apply refl_equal.
% 49.23/49.40 apply zenon_H270. apply sym_equal. exact zenon_H26d.
% 49.23/49.40 (* end of lemma zenon_L223_ *)
% 49.23/49.40 assert (zenon_L224_ : (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((e21) = (e23))) -> ((op2 (e23) (e21)) = (e23)) -> ((op2 (e21) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e21)) -> False).
% 49.23/49.40 do 0 intro. intros zenon_H2a0 zenon_H29c zenon_H14 zenon_H19b zenon_H1d2 zenon_H256 zenon_H1de zenon_H213 zenon_H218 zenon_H260.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H29b | zenon_intro zenon_H2a1 ].
% 49.23/49.40 apply (zenon_L222_); trivial.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H20e | zenon_intro zenon_H2a2 ].
% 49.23/49.40 apply (zenon_L194_); trivial.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H295 | zenon_intro zenon_H26d ].
% 49.23/49.40 apply (zenon_L218_); trivial.
% 49.23/49.40 apply (zenon_L223_); trivial.
% 49.23/49.40 (* end of lemma zenon_L224_ *)
% 49.23/49.40 assert (zenon_L225_ : (~((op2 (e23) (e21)) = (op2 (e23) (op2 (e20) (e23))))) -> ((op2 (e20) (e23)) = (e21)) -> False).
% 49.23/49.40 do 0 intro. intros zenon_H2a3 zenon_H260.
% 49.23/49.40 cut (((e21) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H2a4].
% 49.23/49.40 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1a9].
% 49.23/49.40 congruence.
% 49.23/49.40 apply zenon_H1a9. apply refl_equal.
% 49.23/49.40 apply zenon_H2a4. apply sym_equal. exact zenon_H260.
% 49.23/49.40 (* end of lemma zenon_L225_ *)
% 49.23/49.40 assert (zenon_L226_ : (((op2 (e20) (op2 (e20) (e20))) = (e20))/\(((op2 (e21) (op2 (e20) (e21))) = (e21))/\(((op2 (e22) (op2 (e20) (e22))) = (e22))/\((op2 (e23) (op2 (e20) (e23))) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e21)) -> ((op2 (e23) (e23)) = (e23)) -> False).
% 49.23/49.40 do 0 intro. intros zenon_H217 zenon_H2a5 zenon_H260 zenon_H2a6.
% 49.23/49.40 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H21a. zenon_intro zenon_H219.
% 49.23/49.40 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H21c. zenon_intro zenon_H21b.
% 49.23/49.40 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H21e. zenon_intro zenon_H21d.
% 49.23/49.40 cut (((op2 (e23) (op2 (e20) (e23))) = (e23)) = ((op2 (e23) (e21)) = (op2 (e23) (e23)))).
% 49.23/49.40 intro zenon_D_pnotp.
% 49.23/49.40 apply zenon_H2a5.
% 49.23/49.40 rewrite <- zenon_D_pnotp.
% 49.23/49.40 exact zenon_H21d.
% 49.23/49.40 cut (((e23) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H2a7].
% 49.23/49.40 cut (((op2 (e23) (op2 (e20) (e23))) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2a8].
% 49.23/49.40 congruence.
% 49.23/49.40 elim (classic ((op2 (e23) (e21)) = (op2 (e23) (e21)))); [ zenon_intro zenon_H232 | zenon_intro zenon_H233 ].
% 49.23/49.40 cut (((op2 (e23) (e21)) = (op2 (e23) (e21))) = ((op2 (e23) (op2 (e20) (e23))) = (op2 (e23) (e21)))).
% 49.23/49.40 intro zenon_D_pnotp.
% 49.23/49.40 apply zenon_H2a8.
% 49.23/49.40 rewrite <- zenon_D_pnotp.
% 49.23/49.40 exact zenon_H232.
% 49.23/49.40 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H233].
% 49.23/49.40 cut (((op2 (e23) (e21)) = (op2 (e23) (op2 (e20) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H2a3].
% 49.23/49.40 congruence.
% 49.23/49.40 apply (zenon_L225_); trivial.
% 49.23/49.40 apply zenon_H233. apply refl_equal.
% 49.23/49.40 apply zenon_H233. apply refl_equal.
% 49.23/49.40 apply zenon_H2a7. apply sym_equal. exact zenon_H2a6.
% 49.23/49.40 (* end of lemma zenon_L226_ *)
% 49.23/49.40 assert (zenon_L227_ : (((op2 (e20) (op2 (e21) (e20))) = (e20))/\(((op2 (e21) (op2 (e21) (e21))) = (e21))/\(((op2 (e22) (op2 (e21) (e22))) = (e22))/\((op2 (e23) (op2 (e21) (e23))) = (e23))))) -> ((op2 (e21) (e23)) = (e22)) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> False).
% 49.23/49.40 do 0 intro. intros zenon_H227 zenon_H258 zenon_H1d1 zenon_H297.
% 49.23/49.40 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H22b. zenon_intro zenon_H22a.
% 49.23/49.40 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H22d. zenon_intro zenon_H22c.
% 49.23/49.40 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H22f. zenon_intro zenon_H22e.
% 49.23/49.40 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_H27e | zenon_intro zenon_H27f ].
% 49.23/49.40 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((op2 (e20) (e22)) = (op2 (e23) (e22)))).
% 49.23/49.40 intro zenon_D_pnotp.
% 49.23/49.40 apply zenon_H297.
% 49.23/49.40 rewrite <- zenon_D_pnotp.
% 49.23/49.40 exact zenon_H27e.
% 49.23/49.40 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H27f].
% 49.23/49.40 cut (((op2 (e23) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H2a9].
% 49.23/49.40 congruence.
% 49.23/49.40 cut (((op2 (e23) (op2 (e21) (e23))) = (e23)) = ((op2 (e23) (e22)) = (op2 (e20) (e22)))).
% 49.23/49.40 intro zenon_D_pnotp.
% 49.23/49.40 apply zenon_H2a9.
% 49.23/49.40 rewrite <- zenon_D_pnotp.
% 49.23/49.40 exact zenon_H22e.
% 49.23/49.40 cut (((e23) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H27d].
% 49.23/49.40 cut (((op2 (e23) (op2 (e21) (e23))) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H2aa].
% 49.23/49.40 congruence.
% 49.23/49.40 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_H27e | zenon_intro zenon_H27f ].
% 49.23/49.40 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((op2 (e23) (op2 (e21) (e23))) = (op2 (e23) (e22)))).
% 49.23/49.40 intro zenon_D_pnotp.
% 49.23/49.40 apply zenon_H2aa.
% 49.23/49.40 rewrite <- zenon_D_pnotp.
% 49.23/49.40 exact zenon_H27e.
% 49.23/49.40 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H27f].
% 49.23/49.40 cut (((op2 (e23) (e22)) = (op2 (e23) (op2 (e21) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H2ab].
% 49.23/49.40 congruence.
% 49.23/49.40 cut (((e22) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H2ac].
% 49.23/49.40 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1a9].
% 49.23/49.40 congruence.
% 49.23/49.40 apply zenon_H1a9. apply refl_equal.
% 49.23/49.40 apply zenon_H2ac. apply sym_equal. exact zenon_H258.
% 49.23/49.40 apply zenon_H27f. apply refl_equal.
% 49.23/49.40 apply zenon_H27f. apply refl_equal.
% 49.23/49.40 apply zenon_H27d. apply sym_equal. exact zenon_H1d1.
% 49.23/49.40 apply zenon_H27f. apply refl_equal.
% 49.23/49.40 apply zenon_H27f. apply refl_equal.
% 49.23/49.40 (* end of lemma zenon_L227_ *)
% 49.23/49.40 assert (zenon_L228_ : (((op2 (e20) (op2 (e23) (e20))) = (e20))/\(((op2 (e21) (op2 (e23) (e21))) = (e21))/\(((op2 (e22) (op2 (e23) (e22))) = (e22))/\((op2 (e23) (op2 (e23) (e23))) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e22)) -> False).
% 49.23/49.40 do 0 intro. intros zenon_H240 zenon_H291 zenon_H215.
% 49.23/49.40 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H244. zenon_intro zenon_H243.
% 49.23/49.40 apply (zenon_and_s _ _ zenon_H243). zenon_intro zenon_H246. zenon_intro zenon_H245.
% 49.23/49.40 apply (zenon_and_s _ _ zenon_H245). zenon_intro zenon_H248. zenon_intro zenon_H247.
% 49.23/49.40 cut (((op2 (e22) (op2 (e23) (e22))) = (e22)) = ((op2 (e22) (e22)) = (op2 (e23) (e22)))).
% 49.23/49.40 intro zenon_D_pnotp.
% 49.23/49.40 apply zenon_H291.
% 49.23/49.40 rewrite <- zenon_D_pnotp.
% 49.23/49.40 exact zenon_H248.
% 49.23/49.40 cut (((e22) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H216].
% 49.23/49.40 cut (((op2 (e22) (op2 (e23) (e22))) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H2ad].
% 49.23/49.40 congruence.
% 49.23/49.40 elim (classic ((op2 (e22) (e22)) = (op2 (e22) (e22)))); [ zenon_intro zenon_H268 | zenon_intro zenon_H1bf ].
% 49.23/49.40 cut (((op2 (e22) (e22)) = (op2 (e22) (e22))) = ((op2 (e22) (op2 (e23) (e22))) = (op2 (e22) (e22)))).
% 49.23/49.40 intro zenon_D_pnotp.
% 49.23/49.40 apply zenon_H2ad.
% 49.23/49.40 rewrite <- zenon_D_pnotp.
% 49.23/49.40 exact zenon_H268.
% 49.23/49.40 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H1bf].
% 49.23/49.40 cut (((op2 (e22) (e22)) = (op2 (e22) (op2 (e23) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H2ae].
% 49.23/49.40 congruence.
% 49.23/49.40 cut (((e22) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H216].
% 49.23/49.40 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1c2].
% 49.23/49.40 congruence.
% 49.23/49.40 apply zenon_H1c2. apply refl_equal.
% 49.23/49.40 apply zenon_H216. apply sym_equal. exact zenon_H215.
% 49.23/49.40 apply zenon_H1bf. apply refl_equal.
% 49.23/49.40 apply zenon_H1bf. apply refl_equal.
% 49.23/49.40 apply zenon_H216. apply sym_equal. exact zenon_H215.
% 49.23/49.40 (* end of lemma zenon_L228_ *)
% 49.23/49.40 assert (zenon_L229_ : ((op2 (e23) (e23)) = (e23)) -> ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e22)) -> False).
% 49.23/49.40 do 0 intro. intros zenon_H2a6 zenon_H260 zenon_H2a5 zenon_H297 zenon_H1d1 zenon_H258 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H291 zenon_H215.
% 49.23/49.40 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H217 | zenon_intro zenon_H24e ].
% 49.23/49.40 apply (zenon_L226_); trivial.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H227 | zenon_intro zenon_H24f ].
% 49.23/49.40 apply (zenon_L227_); trivial.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H237 | zenon_intro zenon_H240 ].
% 49.23/49.40 apply (zenon_L189_); trivial.
% 49.23/49.40 apply (zenon_L228_); trivial.
% 49.23/49.40 (* end of lemma zenon_L229_ *)
% 49.23/49.40 assert (zenon_L230_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e22)) = (e21)) -> (~((e21) = (e23))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e22)) -> False).
% 49.23/49.40 do 0 intro. intros zenon_H2af zenon_H1b4 zenon_H218 zenon_H213 zenon_H1de zenon_H1d2 zenon_H19b zenon_H29c zenon_H2a0 zenon_H260 zenon_H2a5 zenon_H297 zenon_H1d1 zenon_H258 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H291 zenon_H215.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H2b0 ].
% 49.23/49.40 apply (zenon_L160_); trivial.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H256 | zenon_intro zenon_H2b1 ].
% 49.23/49.40 apply (zenon_L224_); trivial.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H229 | zenon_intro zenon_H2a6 ].
% 49.23/49.40 apply (zenon_L219_); trivial.
% 49.23/49.40 apply (zenon_L229_); trivial.
% 49.23/49.40 (* end of lemma zenon_L230_ *)
% 49.23/49.40 assert (zenon_L231_ : (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((e22) = (e23))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e22)) = (e21)) -> (~((e21) = (e23))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> False).
% 49.23/49.40 do 0 intro. intros zenon_H285 zenon_H28b zenon_H298 zenon_H1dd zenon_H2af zenon_H1b4 zenon_H218 zenon_H213 zenon_H1de zenon_H1d2 zenon_H19b zenon_H29c zenon_H2a0 zenon_H260 zenon_H2a5 zenon_H297 zenon_H1d1 zenon_H258 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H291.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H25e | zenon_intro zenon_H286 ].
% 49.23/49.40 apply (zenon_L221_); trivial.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H214 | zenon_intro zenon_H287 ].
% 49.23/49.40 apply (zenon_L220_); trivial.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H27b | zenon_intro zenon_H215 ].
% 49.23/49.40 apply (zenon_L209_); trivial.
% 49.23/49.40 apply (zenon_L230_); trivial.
% 49.23/49.40 (* end of lemma zenon_L231_ *)
% 49.23/49.40 assert (zenon_L232_ : (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e20) (e23)) = (e21)) -> ((op2 (e21) (e23)) = (e21)) -> False).
% 49.23/49.40 do 0 intro. intros zenon_H205 zenon_H260 zenon_H225.
% 49.23/49.40 cut (((op2 (e20) (e23)) = (e21)) = ((op2 (e20) (e23)) = (op2 (e21) (e23)))).
% 49.23/49.40 intro zenon_D_pnotp.
% 49.23/49.40 apply zenon_H205.
% 49.23/49.40 rewrite <- zenon_D_pnotp.
% 49.23/49.40 exact zenon_H260.
% 49.23/49.40 cut (((e21) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H226].
% 49.23/49.40 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H209].
% 49.23/49.40 congruence.
% 49.23/49.40 apply zenon_H209. apply refl_equal.
% 49.23/49.40 apply zenon_H226. apply sym_equal. exact zenon_H225.
% 49.23/49.40 (* end of lemma zenon_L232_ *)
% 49.23/49.40 assert (zenon_L233_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((e20) = (e23))) -> ((op2 (e20) (e21)) = (e20)) -> (~((e22) = (e23))) -> ((op2 (e20) (e22)) = (e22)) -> ((op2 (e20) (e23)) = (e21)) -> (~((e21) = (e23))) -> False).
% 49.23/49.40 do 0 intro. intros zenon_H28d zenon_H19b zenon_H14 zenon_H19e zenon_H19d zenon_H1a7 zenon_H193 zenon_H28b zenon_H25e zenon_H260 zenon_H1d2.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H19f | zenon_intro zenon_H28e ].
% 49.23/49.40 apply (zenon_L156_); trivial.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28f ].
% 49.23/49.40 apply (zenon_L167_); trivial.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H206 ].
% 49.23/49.40 apply (zenon_L221_); trivial.
% 49.23/49.40 apply (zenon_L198_); trivial.
% 49.23/49.40 (* end of lemma zenon_L233_ *)
% 49.23/49.40 assert (zenon_L234_ : (~((op2 (e23) (e20)) = (op2 (e23) (op2 (e21) (e23))))) -> ((op2 (e21) (e23)) = (e20)) -> False).
% 49.23/49.40 do 0 intro. intros zenon_H2b2 zenon_H261.
% 49.23/49.40 cut (((e20) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H2b3].
% 49.23/49.40 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1a9].
% 49.23/49.40 congruence.
% 49.23/49.40 apply zenon_H1a9. apply refl_equal.
% 49.23/49.40 apply zenon_H2b3. apply sym_equal. exact zenon_H261.
% 49.23/49.40 (* end of lemma zenon_L234_ *)
% 49.23/49.40 assert (zenon_L235_ : (((op2 (e20) (op2 (e21) (e20))) = (e20))/\(((op2 (e21) (op2 (e21) (e21))) = (e21))/\(((op2 (e22) (op2 (e21) (e22))) = (e22))/\((op2 (e23) (op2 (e21) (e23))) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e20)) -> ((op2 (e23) (e23)) = (e23)) -> False).
% 49.23/49.40 do 0 intro. intros zenon_H227 zenon_H2b4 zenon_H261 zenon_H2a6.
% 49.23/49.40 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H22b. zenon_intro zenon_H22a.
% 49.23/49.40 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H22d. zenon_intro zenon_H22c.
% 49.23/49.40 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H22f. zenon_intro zenon_H22e.
% 49.23/49.40 cut (((op2 (e23) (op2 (e21) (e23))) = (e23)) = ((op2 (e23) (e20)) = (op2 (e23) (e23)))).
% 49.23/49.40 intro zenon_D_pnotp.
% 49.23/49.40 apply zenon_H2b4.
% 49.23/49.40 rewrite <- zenon_D_pnotp.
% 49.23/49.40 exact zenon_H22e.
% 49.23/49.40 cut (((e23) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H2a7].
% 49.23/49.40 cut (((op2 (e23) (op2 (e21) (e23))) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H2b5].
% 49.23/49.40 congruence.
% 49.23/49.40 elim (classic ((op2 (e23) (e20)) = (op2 (e23) (e20)))); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1b6 ].
% 49.23/49.40 cut (((op2 (e23) (e20)) = (op2 (e23) (e20))) = ((op2 (e23) (op2 (e21) (e23))) = (op2 (e23) (e20)))).
% 49.23/49.40 intro zenon_D_pnotp.
% 49.23/49.40 apply zenon_H2b5.
% 49.23/49.40 rewrite <- zenon_D_pnotp.
% 49.23/49.40 exact zenon_H1b5.
% 49.23/49.40 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1b6].
% 49.23/49.40 cut (((op2 (e23) (e20)) = (op2 (e23) (op2 (e21) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H2b2].
% 49.23/49.40 congruence.
% 49.23/49.40 apply (zenon_L234_); trivial.
% 49.23/49.40 apply zenon_H1b6. apply refl_equal.
% 49.23/49.40 apply zenon_H1b6. apply refl_equal.
% 49.23/49.40 apply zenon_H2a7. apply sym_equal. exact zenon_H2a6.
% 49.23/49.40 (* end of lemma zenon_L235_ *)
% 49.23/49.40 assert (zenon_L236_ : ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e23)) = (e23)) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e22)) -> False).
% 49.23/49.40 do 0 intro. intros zenon_H260 zenon_H2a5 zenon_H2a6 zenon_H261 zenon_H2b4 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H291 zenon_H215.
% 49.23/49.40 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H217 | zenon_intro zenon_H24e ].
% 49.23/49.40 apply (zenon_L226_); trivial.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H227 | zenon_intro zenon_H24f ].
% 49.23/49.40 apply (zenon_L235_); trivial.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H237 | zenon_intro zenon_H240 ].
% 49.23/49.40 apply (zenon_L189_); trivial.
% 49.23/49.40 apply (zenon_L228_); trivial.
% 49.23/49.40 (* end of lemma zenon_L236_ *)
% 49.23/49.40 assert (zenon_L237_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((e21) = (e23))) -> ((op2 (e23) (e21)) = (e21)) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e22)) -> False).
% 49.23/49.40 do 0 intro. intros zenon_H2af zenon_H1b4 zenon_H19b zenon_H1d2 zenon_H20e zenon_H1d1 zenon_H297 zenon_H260 zenon_H2a5 zenon_H261 zenon_H2b4 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H291 zenon_H215.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H2b0 ].
% 49.23/49.40 apply (zenon_L160_); trivial.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H256 | zenon_intro zenon_H2b1 ].
% 49.23/49.40 apply (zenon_L194_); trivial.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H229 | zenon_intro zenon_H2a6 ].
% 49.23/49.40 apply (zenon_L219_); trivial.
% 49.23/49.40 apply (zenon_L236_); trivial.
% 49.23/49.40 (* end of lemma zenon_L237_ *)
% 49.23/49.40 assert (zenon_L238_ : (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((e22) = (e23))) -> ((op2 (e20) (e21)) = (e20)) -> (~((e20) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e22) (e21)) = (e23)) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> (~((e21) = (e23))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e21) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e21)) -> False).
% 49.23/49.40 do 0 intro. intros zenon_H285 zenon_H28b zenon_H193 zenon_H1a7 zenon_H19d zenon_H28d zenon_H298 zenon_H1dd zenon_H2a0 zenon_H29c zenon_H291 zenon_H19e zenon_H238 zenon_H14 zenon_H1e6 zenon_H2b4 zenon_H261 zenon_H2a5 zenon_H297 zenon_H1d1 zenon_H1d2 zenon_H19b zenon_H1b4 zenon_H2af zenon_H1de zenon_H213 zenon_H218 zenon_H260.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H25e | zenon_intro zenon_H286 ].
% 49.23/49.40 apply (zenon_L233_); trivial.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H214 | zenon_intro zenon_H287 ].
% 49.23/49.40 apply (zenon_L220_); trivial.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H27b | zenon_intro zenon_H215 ].
% 49.23/49.40 apply (zenon_L209_); trivial.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H29b | zenon_intro zenon_H2a1 ].
% 49.23/49.40 apply (zenon_L222_); trivial.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H20e | zenon_intro zenon_H2a2 ].
% 49.23/49.40 apply (zenon_L237_); trivial.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H295 | zenon_intro zenon_H26d ].
% 49.23/49.40 apply (zenon_L218_); trivial.
% 49.23/49.40 apply (zenon_L223_); trivial.
% 49.23/49.40 (* end of lemma zenon_L238_ *)
% 49.23/49.40 assert (zenon_L239_ : (~((op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22))) = (op2 (e21) (e21)))) -> ((op2 (e22) (e22)) = (e21)) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> False).
% 49.23/49.40 do 0 intro. intros zenon_H2b6 zenon_H2b7 zenon_H19b.
% 49.23/49.40 cut (((op2 (e22) (e22)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H2b8].
% 49.23/49.40 cut (((op2 (e22) (op2 (e22) (e22))) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H19c].
% 49.23/49.40 congruence.
% 49.23/49.40 apply zenon_H19c. apply sym_equal. exact zenon_H19b.
% 49.23/49.40 exact (zenon_H2b8 zenon_H2b7).
% 49.23/49.40 (* end of lemma zenon_L239_ *)
% 49.23/49.40 assert (zenon_L240_ : ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e22) (e21)) = (e23)) -> ((op2 (e22) (e22)) = (e21)) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> False).
% 49.23/49.40 do 0 intro. intros zenon_H19e zenon_H238 zenon_H2b7 zenon_H19b zenon_H2b9.
% 49.23/49.40 elim (classic ((op2 (e22) (e21)) = (op2 (e22) (e21)))); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1e8 ].
% 49.23/49.40 cut (((op2 (e22) (e21)) = (op2 (e22) (e21))) = ((op2 (e21) (e21)) = (op2 (e22) (e21)))).
% 49.23/49.40 intro zenon_D_pnotp.
% 49.23/49.40 apply zenon_H2b9.
% 49.23/49.40 rewrite <- zenon_D_pnotp.
% 49.23/49.40 exact zenon_H1e7.
% 49.23/49.40 cut (((op2 (e22) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H1e8].
% 49.23/49.40 cut (((op2 (e22) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2ba].
% 49.23/49.40 congruence.
% 49.23/49.40 cut (((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) = ((op2 (e22) (e21)) = (op2 (e21) (e21)))).
% 49.23/49.40 intro zenon_D_pnotp.
% 49.23/49.40 apply zenon_H2ba.
% 49.23/49.40 rewrite <- zenon_D_pnotp.
% 49.23/49.40 exact zenon_H19e.
% 49.23/49.40 cut (((op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22))) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2b6].
% 49.23/49.40 cut (((e23) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H23e].
% 49.23/49.40 congruence.
% 49.23/49.40 elim (classic ((op2 (e22) (e21)) = (op2 (e22) (e21)))); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1e8 ].
% 49.23/49.40 cut (((op2 (e22) (e21)) = (op2 (e22) (e21))) = ((e23) = (op2 (e22) (e21)))).
% 49.23/49.40 intro zenon_D_pnotp.
% 49.23/49.40 apply zenon_H23e.
% 49.23/49.40 rewrite <- zenon_D_pnotp.
% 49.23/49.40 exact zenon_H1e7.
% 49.23/49.40 cut (((op2 (e22) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H1e8].
% 49.23/49.40 cut (((op2 (e22) (e21)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H23f].
% 49.23/49.40 congruence.
% 49.23/49.40 exact (zenon_H23f zenon_H238).
% 49.23/49.40 apply zenon_H1e8. apply refl_equal.
% 49.23/49.40 apply zenon_H1e8. apply refl_equal.
% 49.23/49.40 apply (zenon_L239_); trivial.
% 49.23/49.40 apply zenon_H1e8. apply refl_equal.
% 49.23/49.40 apply zenon_H1e8. apply refl_equal.
% 49.23/49.40 (* end of lemma zenon_L240_ *)
% 49.23/49.40 assert (zenon_L241_ : ((op2 (e23) (e21)) = (e22)) -> ((op2 (e23) (e21)) = (e23)) -> (~((e22) = (e23))) -> False).
% 49.23/49.40 do 0 intro. intros zenon_H20f zenon_H256 zenon_H28b.
% 49.23/49.40 elim (classic ((e23) = (e23))); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H1a9 ].
% 49.23/49.40 cut (((e23) = (e23)) = ((e22) = (e23))).
% 49.23/49.40 intro zenon_D_pnotp.
% 49.23/49.40 apply zenon_H28b.
% 49.23/49.40 rewrite <- zenon_D_pnotp.
% 49.23/49.40 exact zenon_H1a8.
% 49.23/49.40 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1a9].
% 49.23/49.40 cut (((e23) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H28c].
% 49.23/49.40 congruence.
% 49.23/49.40 cut (((op2 (e23) (e21)) = (e22)) = ((e23) = (e22))).
% 49.23/49.40 intro zenon_D_pnotp.
% 49.23/49.40 apply zenon_H28c.
% 49.23/49.40 rewrite <- zenon_D_pnotp.
% 49.23/49.40 exact zenon_H20f.
% 49.23/49.40 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1c2].
% 49.23/49.40 cut (((op2 (e23) (e21)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H257].
% 49.23/49.40 congruence.
% 49.23/49.40 exact (zenon_H257 zenon_H256).
% 49.23/49.40 apply zenon_H1c2. apply refl_equal.
% 49.23/49.40 apply zenon_H1a9. apply refl_equal.
% 49.23/49.40 apply zenon_H1a9. apply refl_equal.
% 49.23/49.40 (* end of lemma zenon_L241_ *)
% 49.23/49.40 assert (zenon_L242_ : (~((op2 (e22) (e21)) = (op2 (e22) (op2 (e23) (e22))))) -> ((op2 (e23) (e22)) = (e21)) -> False).
% 49.23/49.40 do 0 intro. intros zenon_H2bb zenon_H295.
% 49.23/49.40 cut (((e21) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H296].
% 49.23/49.40 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1c2].
% 49.23/49.40 congruence.
% 49.23/49.40 apply zenon_H1c2. apply refl_equal.
% 49.23/49.40 apply zenon_H296. apply sym_equal. exact zenon_H295.
% 49.23/49.40 (* end of lemma zenon_L242_ *)
% 49.23/49.40 assert (zenon_L243_ : (((op2 (e20) (op2 (e23) (e20))) = (e20))/\(((op2 (e21) (op2 (e23) (e21))) = (e21))/\(((op2 (e22) (op2 (e23) (e22))) = (e22))/\((op2 (e23) (op2 (e23) (e23))) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e22)) = (e21)) -> ((op2 (e23) (e21)) = (e22)) -> False).
% 49.23/49.40 do 0 intro. intros zenon_H240 zenon_H2bc zenon_H295 zenon_H20f.
% 49.23/49.40 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H244. zenon_intro zenon_H243.
% 49.23/49.40 apply (zenon_and_s _ _ zenon_H243). zenon_intro zenon_H246. zenon_intro zenon_H245.
% 49.23/49.40 apply (zenon_and_s _ _ zenon_H245). zenon_intro zenon_H248. zenon_intro zenon_H247.
% 49.23/49.40 cut (((op2 (e22) (op2 (e23) (e22))) = (e22)) = ((op2 (e22) (e21)) = (op2 (e23) (e21)))).
% 49.23/49.40 intro zenon_D_pnotp.
% 49.23/49.40 apply zenon_H2bc.
% 49.23/49.40 rewrite <- zenon_D_pnotp.
% 49.23/49.40 exact zenon_H248.
% 49.23/49.40 cut (((e22) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2bd].
% 49.23/49.40 cut (((op2 (e22) (op2 (e23) (e22))) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2be].
% 49.23/49.40 congruence.
% 49.23/49.40 elim (classic ((op2 (e22) (e21)) = (op2 (e22) (e21)))); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1e8 ].
% 49.23/49.40 cut (((op2 (e22) (e21)) = (op2 (e22) (e21))) = ((op2 (e22) (op2 (e23) (e22))) = (op2 (e22) (e21)))).
% 49.23/49.40 intro zenon_D_pnotp.
% 49.23/49.40 apply zenon_H2be.
% 49.23/49.40 rewrite <- zenon_D_pnotp.
% 49.23/49.40 exact zenon_H1e7.
% 49.23/49.40 cut (((op2 (e22) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H1e8].
% 49.23/49.40 cut (((op2 (e22) (e21)) = (op2 (e22) (op2 (e23) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H2bb].
% 49.23/49.40 congruence.
% 49.23/49.40 apply (zenon_L242_); trivial.
% 49.23/49.40 apply zenon_H1e8. apply refl_equal.
% 49.23/49.40 apply zenon_H1e8. apply refl_equal.
% 49.23/49.40 apply zenon_H2bd. apply sym_equal. exact zenon_H20f.
% 49.23/49.40 (* end of lemma zenon_L243_ *)
% 49.23/49.40 assert (zenon_L244_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((e22) = (e23))) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e22)) = (e21)) -> ((op2 (e23) (e21)) = (e22)) -> False).
% 49.23/49.40 do 0 intro. intros zenon_H2af zenon_H1b4 zenon_H19b zenon_H28b zenon_H1d1 zenon_H297 zenon_H260 zenon_H2a5 zenon_H261 zenon_H2b4 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H2bc zenon_H295 zenon_H20f.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H2b0 ].
% 49.23/49.40 apply (zenon_L160_); trivial.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H256 | zenon_intro zenon_H2b1 ].
% 49.23/49.40 apply (zenon_L241_); trivial.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H229 | zenon_intro zenon_H2a6 ].
% 49.23/49.40 apply (zenon_L219_); trivial.
% 49.23/49.40 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H217 | zenon_intro zenon_H24e ].
% 49.23/49.40 apply (zenon_L226_); trivial.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H227 | zenon_intro zenon_H24f ].
% 49.23/49.40 apply (zenon_L235_); trivial.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H237 | zenon_intro zenon_H240 ].
% 49.23/49.40 apply (zenon_L189_); trivial.
% 49.23/49.40 apply (zenon_L243_); trivial.
% 49.23/49.40 (* end of lemma zenon_L244_ *)
% 49.23/49.40 assert (zenon_L245_ : ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e21) (e23)) = (e23)) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> False).
% 49.23/49.40 do 0 intro. intros zenon_H19e zenon_H2bf zenon_H14 zenon_H19b zenon_H2c0.
% 49.23/49.40 elim (classic ((op2 (e21) (e23)) = (op2 (e21) (e23)))); [ zenon_intro zenon_H2c1 | zenon_intro zenon_H2c2 ].
% 49.23/49.40 cut (((op2 (e21) (e23)) = (op2 (e21) (e23))) = ((op2 (e21) (e20)) = (op2 (e21) (e23)))).
% 49.23/49.40 intro zenon_D_pnotp.
% 49.23/49.40 apply zenon_H2c0.
% 49.23/49.40 rewrite <- zenon_D_pnotp.
% 49.23/49.40 exact zenon_H2c1.
% 49.23/49.40 cut (((op2 (e21) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H2c2].
% 49.23/49.40 cut (((op2 (e21) (e23)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H2c3].
% 49.23/49.40 congruence.
% 49.23/49.40 cut (((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) = ((op2 (e21) (e23)) = (op2 (e21) (e20)))).
% 49.23/49.40 intro zenon_D_pnotp.
% 49.23/49.40 apply zenon_H2c3.
% 49.23/49.40 rewrite <- zenon_D_pnotp.
% 49.23/49.40 exact zenon_H19e.
% 49.23/49.40 cut (((op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22))) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H19a].
% 49.23/49.40 cut (((e23) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H2c4].
% 49.23/49.40 congruence.
% 49.23/49.40 elim (classic ((op2 (e21) (e23)) = (op2 (e21) (e23)))); [ zenon_intro zenon_H2c1 | zenon_intro zenon_H2c2 ].
% 49.23/49.40 cut (((op2 (e21) (e23)) = (op2 (e21) (e23))) = ((e23) = (op2 (e21) (e23)))).
% 49.23/49.40 intro zenon_D_pnotp.
% 49.23/49.40 apply zenon_H2c4.
% 49.23/49.40 rewrite <- zenon_D_pnotp.
% 49.23/49.40 exact zenon_H2c1.
% 49.23/49.40 cut (((op2 (e21) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H2c2].
% 49.23/49.40 cut (((op2 (e21) (e23)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H2c5].
% 49.23/49.40 congruence.
% 49.23/49.40 exact (zenon_H2c5 zenon_H2bf).
% 49.23/49.40 apply zenon_H2c2. apply refl_equal.
% 49.23/49.40 apply zenon_H2c2. apply refl_equal.
% 49.23/49.40 apply (zenon_L155_); trivial.
% 49.23/49.40 apply zenon_H2c2. apply refl_equal.
% 49.23/49.40 apply zenon_H2c2. apply refl_equal.
% 49.23/49.40 (* end of lemma zenon_L245_ *)
% 49.23/49.40 assert (zenon_L246_ : (((op2 (e20) (op2 (e22) (e20))) = (e20))/\(((op2 (e21) (op2 (e22) (e21))) = (e21))/\(((op2 (e22) (op2 (e22) (e22))) = (e22))/\((op2 (e23) (op2 (e22) (e23))) = (e23))))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e22) (e23)) = (e23)) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> False).
% 49.23/49.40 do 0 intro. intros zenon_H237 zenon_H19e zenon_H275 zenon_H14 zenon_H264.
% 49.23/49.40 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_H23a. zenon_intro zenon_H239.
% 49.23/49.40 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H23c. zenon_intro zenon_H23b.
% 49.23/49.40 apply (zenon_and_s _ _ zenon_H23b). zenon_intro zenon_H235. zenon_intro zenon_H23d.
% 49.23/49.40 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H24b | zenon_intro zenon_H24c ].
% 49.23/49.40 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((op2 (e22) (e20)) = (op2 (e22) (e23)))).
% 49.23/49.40 intro zenon_D_pnotp.
% 49.23/49.40 apply zenon_H264.
% 49.23/49.40 rewrite <- zenon_D_pnotp.
% 49.23/49.40 exact zenon_H24b.
% 49.23/49.40 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H24c].
% 49.23/49.40 cut (((op2 (e22) (e23)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H265].
% 49.23/49.40 congruence.
% 49.23/49.40 cut (((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) = ((op2 (e22) (e23)) = (op2 (e22) (e20)))).
% 49.23/49.40 intro zenon_D_pnotp.
% 49.23/49.40 apply zenon_H265.
% 49.23/49.40 rewrite <- zenon_D_pnotp.
% 49.23/49.40 exact zenon_H19e.
% 49.23/49.40 cut (((op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22))) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H234].
% 49.23/49.40 cut (((e23) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H276].
% 49.23/49.40 congruence.
% 49.23/49.40 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H24b | zenon_intro zenon_H24c ].
% 49.23/49.40 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((e23) = (op2 (e22) (e23)))).
% 49.23/49.40 intro zenon_D_pnotp.
% 49.23/49.40 apply zenon_H276.
% 49.23/49.40 rewrite <- zenon_D_pnotp.
% 49.23/49.40 exact zenon_H24b.
% 49.23/49.40 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H24c].
% 49.23/49.40 cut (((op2 (e22) (e23)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H2c6].
% 49.23/49.40 congruence.
% 49.23/49.40 exact (zenon_H2c6 zenon_H275).
% 49.23/49.40 apply zenon_H24c. apply refl_equal.
% 49.23/49.40 apply zenon_H24c. apply refl_equal.
% 49.23/49.40 apply (zenon_L188_); trivial.
% 49.23/49.40 apply zenon_H24c. apply refl_equal.
% 49.23/49.40 apply zenon_H24c. apply refl_equal.
% 49.23/49.40 (* end of lemma zenon_L246_ *)
% 49.23/49.40 assert (zenon_L247_ : (((op2 (e20) (op2 (e23) (e20))) = (e20))/\(((op2 (e21) (op2 (e23) (e21))) = (e21))/\(((op2 (e22) (op2 (e23) (e22))) = (e22))/\((op2 (e23) (op2 (e23) (e23))) = (e23))))) -> ((op2 (e23) (e23)) = (e22)) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> False).
% 49.23/49.40 do 0 intro. intros zenon_H240 zenon_H242 zenon_H1d1 zenon_H297.
% 49.23/49.40 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H244. zenon_intro zenon_H243.
% 49.23/49.40 apply (zenon_and_s _ _ zenon_H243). zenon_intro zenon_H246. zenon_intro zenon_H245.
% 49.23/49.40 apply (zenon_and_s _ _ zenon_H245). zenon_intro zenon_H248. zenon_intro zenon_H247.
% 49.23/49.40 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_H27e | zenon_intro zenon_H27f ].
% 49.23/49.40 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((op2 (e20) (e22)) = (op2 (e23) (e22)))).
% 49.23/49.40 intro zenon_D_pnotp.
% 49.23/49.40 apply zenon_H297.
% 49.23/49.40 rewrite <- zenon_D_pnotp.
% 49.23/49.40 exact zenon_H27e.
% 49.23/49.40 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H27f].
% 49.23/49.40 cut (((op2 (e23) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H2a9].
% 49.23/49.40 congruence.
% 49.23/49.40 cut (((op2 (e23) (op2 (e23) (e23))) = (e23)) = ((op2 (e23) (e22)) = (op2 (e20) (e22)))).
% 49.23/49.40 intro zenon_D_pnotp.
% 49.23/49.40 apply zenon_H2a9.
% 49.23/49.40 rewrite <- zenon_D_pnotp.
% 49.23/49.40 exact zenon_H247.
% 49.23/49.40 cut (((e23) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H27d].
% 49.23/49.40 cut (((op2 (e23) (op2 (e23) (e23))) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H2c7].
% 49.23/49.40 congruence.
% 49.23/49.40 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_H27e | zenon_intro zenon_H27f ].
% 49.23/49.40 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((op2 (e23) (op2 (e23) (e23))) = (op2 (e23) (e22)))).
% 49.23/49.40 intro zenon_D_pnotp.
% 49.23/49.40 apply zenon_H2c7.
% 49.23/49.40 rewrite <- zenon_D_pnotp.
% 49.23/49.40 exact zenon_H27e.
% 49.23/49.40 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H27f].
% 49.23/49.40 cut (((op2 (e23) (e22)) = (op2 (e23) (op2 (e23) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H2c8].
% 49.23/49.40 congruence.
% 49.23/49.40 cut (((e22) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H249].
% 49.23/49.40 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1a9].
% 49.23/49.40 congruence.
% 49.23/49.40 apply zenon_H1a9. apply refl_equal.
% 49.23/49.40 apply zenon_H249. apply sym_equal. exact zenon_H242.
% 49.23/49.40 apply zenon_H27f. apply refl_equal.
% 49.23/49.40 apply zenon_H27f. apply refl_equal.
% 49.23/49.40 apply zenon_H27d. apply sym_equal. exact zenon_H1d1.
% 49.23/49.40 apply zenon_H27f. apply refl_equal.
% 49.23/49.40 apply zenon_H27f. apply refl_equal.
% 49.23/49.40 (* end of lemma zenon_L247_ *)
% 49.23/49.40 assert (zenon_L248_ : (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e23)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e23) (e23)) = (e22)) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> False).
% 49.23/49.40 do 0 intro. intros zenon_H241 zenon_H25a zenon_H214 zenon_H264 zenon_H14 zenon_H275 zenon_H19e zenon_H242 zenon_H1d1 zenon_H297.
% 49.23/49.40 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H217 | zenon_intro zenon_H24e ].
% 49.23/49.40 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H21a. zenon_intro zenon_H219.
% 49.23/49.40 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H21c. zenon_intro zenon_H21b.
% 49.23/49.40 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H21e. zenon_intro zenon_H21d.
% 49.23/49.40 cut (((op2 (e22) (op2 (e20) (e22))) = (e22)) = ((op2 (e22) (e23)) = (op2 (e23) (e23)))).
% 49.23/49.40 intro zenon_D_pnotp.
% 49.23/49.40 apply zenon_H241.
% 49.23/49.40 rewrite <- zenon_D_pnotp.
% 49.23/49.40 exact zenon_H21e.
% 49.23/49.40 cut (((e22) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H249].
% 49.23/49.40 cut (((op2 (e22) (op2 (e20) (e22))) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H2c9].
% 49.23/49.40 congruence.
% 49.23/49.40 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H24b | zenon_intro zenon_H24c ].
% 49.23/49.40 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((op2 (e22) (op2 (e20) (e22))) = (op2 (e22) (e23)))).
% 49.23/49.40 intro zenon_D_pnotp.
% 49.23/49.40 apply zenon_H2c9.
% 49.23/49.40 rewrite <- zenon_D_pnotp.
% 49.23/49.40 exact zenon_H24b.
% 49.23/49.40 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H24c].
% 49.23/49.40 cut (((op2 (e22) (e23)) = (op2 (e22) (op2 (e20) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H2ca].
% 49.23/49.40 congruence.
% 49.23/49.40 cut (((e23) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H27d].
% 49.23/49.40 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1c2].
% 49.23/49.40 congruence.
% 49.23/49.40 apply zenon_H1c2. apply refl_equal.
% 49.23/49.40 apply zenon_H27d. apply sym_equal. exact zenon_H1d1.
% 49.23/49.40 apply zenon_H24c. apply refl_equal.
% 49.23/49.40 apply zenon_H24c. apply refl_equal.
% 49.23/49.40 apply zenon_H249. apply sym_equal. exact zenon_H242.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H227 | zenon_intro zenon_H24f ].
% 49.23/49.40 apply (zenon_L201_); trivial.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H237 | zenon_intro zenon_H240 ].
% 49.23/49.40 apply (zenon_L246_); trivial.
% 49.23/49.40 apply (zenon_L247_); trivial.
% 49.23/49.40 (* end of lemma zenon_L248_ *)
% 49.23/49.40 assert (zenon_L249_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> ((op2 (e23) (e20)) = (e20)) -> (~((e22) = (e23))) -> ((op2 (e23) (e21)) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e23)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> False).
% 49.23/49.40 do 0 intro. intros zenon_H250 zenon_H1f0 zenon_H20b zenon_H28b zenon_H256 zenon_H213 zenon_H241 zenon_H25a zenon_H214 zenon_H264 zenon_H14 zenon_H275 zenon_H19e zenon_H1d1 zenon_H297.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H20c | zenon_intro zenon_H251 ].
% 49.23/49.40 apply (zenon_L181_); trivial.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H20f | zenon_intro zenon_H252 ].
% 49.23/49.40 apply (zenon_L241_); trivial.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H215 | zenon_intro zenon_H242 ].
% 49.23/49.40 apply (zenon_L183_); trivial.
% 49.23/49.40 apply (zenon_L248_); trivial.
% 49.23/49.40 (* end of lemma zenon_L249_ *)
% 49.23/49.40 assert (zenon_L250_ : ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e23)) = (e23)) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e23) (e23)) = (e22)) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> False).
% 49.23/49.40 do 0 intro. intros zenon_H260 zenon_H2a5 zenon_H2a6 zenon_H261 zenon_H2b4 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H242 zenon_H1d1 zenon_H297.
% 49.23/49.40 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H217 | zenon_intro zenon_H24e ].
% 49.23/49.40 apply (zenon_L226_); trivial.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H227 | zenon_intro zenon_H24f ].
% 49.23/49.40 apply (zenon_L235_); trivial.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H237 | zenon_intro zenon_H240 ].
% 49.23/49.40 apply (zenon_L189_); trivial.
% 49.23/49.40 apply (zenon_L247_); trivial.
% 49.23/49.40 (* end of lemma zenon_L250_ *)
% 49.23/49.40 assert (zenon_L251_ : (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e21)) = (e23)) -> (~((e22) = (e23))) -> ((op2 (e23) (e20)) = (e20)) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e23) (e23)) = (e22)) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> False).
% 49.23/49.40 do 0 intro. intros zenon_H2cb zenon_H1d2 zenon_H2c0 zenon_H19b zenon_H264 zenon_H214 zenon_H25a zenon_H241 zenon_H213 zenon_H256 zenon_H28b zenon_H20b zenon_H1f0 zenon_H250 zenon_H260 zenon_H2a5 zenon_H261 zenon_H2b4 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H242 zenon_H1d1 zenon_H297.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H206 | zenon_intro zenon_H2cc ].
% 49.23/49.40 apply (zenon_L198_); trivial.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H2bf | zenon_intro zenon_H2cd ].
% 49.23/49.40 apply (zenon_L245_); trivial.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H275 | zenon_intro zenon_H2a6 ].
% 49.23/49.40 apply (zenon_L249_); trivial.
% 49.23/49.40 apply (zenon_L250_); trivial.
% 49.23/49.40 (* end of lemma zenon_L251_ *)
% 49.23/49.40 assert (zenon_L252_ : ((op2 (e23) (e22)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> ((op2 (e23) (e20)) = (e20)) -> (~((e22) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((e21) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> False).
% 49.23/49.40 do 0 intro. intros zenon_H295 zenon_H2bc zenon_H2af zenon_H1b4 zenon_H250 zenon_H1f0 zenon_H20b zenon_H28b zenon_H213 zenon_H241 zenon_H25a zenon_H214 zenon_H264 zenon_H19b zenon_H2c0 zenon_H1d2 zenon_H2cb zenon_H260 zenon_H2a5 zenon_H261 zenon_H2b4 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H1d1 zenon_H297.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H20c | zenon_intro zenon_H251 ].
% 49.23/49.40 apply (zenon_L181_); trivial.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H20f | zenon_intro zenon_H252 ].
% 49.23/49.40 apply (zenon_L244_); trivial.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H215 | zenon_intro zenon_H242 ].
% 49.23/49.40 apply (zenon_L183_); trivial.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H2b0 ].
% 49.23/49.40 apply (zenon_L160_); trivial.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H256 | zenon_intro zenon_H2b1 ].
% 49.23/49.40 apply (zenon_L251_); trivial.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H229 | zenon_intro zenon_H2a6 ].
% 49.23/49.40 apply (zenon_L219_); trivial.
% 49.23/49.40 apply (zenon_L250_); trivial.
% 49.23/49.40 (* end of lemma zenon_L252_ *)
% 49.23/49.40 assert (zenon_L253_ : (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> ((op2 (e23) (e22)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> ((op2 (e22) (e23)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e21)) = (e23)) -> (~((e22) = (e23))) -> ((op2 (e23) (e20)) = (e20)) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> False).
% 49.23/49.40 do 0 intro. intros zenon_H282 zenon_H295 zenon_H297 zenon_H1d1 zenon_H275 zenon_H264 zenon_H25a zenon_H241 zenon_H213 zenon_H256 zenon_H28b zenon_H20b zenon_H1f0 zenon_H250 zenon_H19e zenon_H14 zenon_H19b zenon_H1fc.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H25b | zenon_intro zenon_H283 ].
% 49.23/49.40 apply (zenon_L196_); trivial.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H1de | zenon_intro zenon_H284 ].
% 49.23/49.40 apply (zenon_L218_); trivial.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_H214 | zenon_intro zenon_H1fb ].
% 49.23/49.40 apply (zenon_L249_); trivial.
% 49.23/49.40 apply (zenon_L178_); trivial.
% 49.23/49.40 (* end of lemma zenon_L253_ *)
% 49.23/49.40 assert (zenon_L254_ : (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> ((op2 (e23) (e20)) = (e20)) -> (~((e22) = (e23))) -> ((op2 (e23) (e21)) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e21)) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e22)) -> False).
% 49.23/49.40 do 0 intro. intros zenon_H2cb zenon_H1d2 zenon_H2c0 zenon_H1fc zenon_H19b zenon_H250 zenon_H1f0 zenon_H20b zenon_H28b zenon_H256 zenon_H213 zenon_H241 zenon_H25a zenon_H264 zenon_H1d1 zenon_H297 zenon_H295 zenon_H282 zenon_H260 zenon_H2a5 zenon_H261 zenon_H2b4 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H291 zenon_H215.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H206 | zenon_intro zenon_H2cc ].
% 49.23/49.40 apply (zenon_L198_); trivial.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H2bf | zenon_intro zenon_H2cd ].
% 49.23/49.40 apply (zenon_L245_); trivial.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H275 | zenon_intro zenon_H2a6 ].
% 49.23/49.40 apply (zenon_L253_); trivial.
% 49.23/49.40 apply (zenon_L236_); trivial.
% 49.23/49.40 (* end of lemma zenon_L254_ *)
% 49.23/49.40 assert (zenon_L255_ : (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> ((op2 (e20) (e21)) = (e20)) -> (~((e20) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> ((op2 (e23) (e21)) = (e22)) -> (~((e22) = (e23))) -> False).
% 49.23/49.40 do 0 intro. intros zenon_H2ce zenon_H1f5 zenon_H2bc zenon_H19e zenon_H14 zenon_H1e6 zenon_H2b4 zenon_H261 zenon_H2a5 zenon_H260 zenon_H297 zenon_H1d1 zenon_H19b zenon_H1b4 zenon_H2af zenon_H2b9 zenon_H285 zenon_H193 zenon_H1a7 zenon_H19d zenon_H28d zenon_H298 zenon_H1dd zenon_H2a0 zenon_H29c zenon_H291 zenon_H1d2 zenon_H213 zenon_H218 zenon_H2cf zenon_H20f zenon_H28b.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d0 ].
% 49.23/49.40 apply (zenon_L167_); trivial.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H2d1 ].
% 49.23/49.40 apply (zenon_L177_); trivial.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H238 | zenon_intro zenon_H256 ].
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H2d2 ].
% 49.23/49.40 apply (zenon_L169_); trivial.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H1de | zenon_intro zenon_H2d3 ].
% 49.23/49.40 apply (zenon_L238_); trivial.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H295 ].
% 49.23/49.40 apply (zenon_L240_); trivial.
% 49.23/49.40 apply (zenon_L244_); trivial.
% 49.23/49.40 apply (zenon_L241_); trivial.
% 49.23/49.40 (* end of lemma zenon_L255_ *)
% 49.23/49.40 assert (zenon_L256_ : ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e23) (e23)) = (e23)) -> ((op2 (e22) (e22)) = (e23)) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> False).
% 49.23/49.40 do 0 intro. intros zenon_H19e zenon_H2a6 zenon_H203 zenon_H19b zenon_H2d4.
% 49.23/49.40 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H21f | zenon_intro zenon_H220 ].
% 49.23/49.40 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((op2 (e21) (e23)) = (op2 (e23) (e23)))).
% 49.23/49.40 intro zenon_D_pnotp.
% 49.23/49.40 apply zenon_H2d4.
% 49.23/49.40 rewrite <- zenon_D_pnotp.
% 49.23/49.40 exact zenon_H21f.
% 49.23/49.40 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H220].
% 49.23/49.40 cut (((op2 (e23) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H2d5].
% 49.23/49.40 congruence.
% 49.23/49.40 cut (((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) = ((op2 (e23) (e23)) = (op2 (e21) (e23)))).
% 49.23/49.40 intro zenon_D_pnotp.
% 49.23/49.40 apply zenon_H2d5.
% 49.23/49.40 rewrite <- zenon_D_pnotp.
% 49.23/49.40 exact zenon_H19e.
% 49.23/49.40 cut (((op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22))) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H202].
% 49.23/49.40 cut (((e23) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H2a7].
% 49.23/49.40 congruence.
% 49.23/49.40 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H21f | zenon_intro zenon_H220 ].
% 49.23/49.40 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((e23) = (op2 (e23) (e23)))).
% 49.23/49.40 intro zenon_D_pnotp.
% 49.23/49.40 apply zenon_H2a7.
% 49.23/49.40 rewrite <- zenon_D_pnotp.
% 49.23/49.40 exact zenon_H21f.
% 49.23/49.40 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H220].
% 49.23/49.40 cut (((op2 (e23) (e23)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H2d6].
% 49.23/49.40 congruence.
% 49.23/49.40 exact (zenon_H2d6 zenon_H2a6).
% 49.23/49.40 apply zenon_H220. apply refl_equal.
% 49.23/49.40 apply zenon_H220. apply refl_equal.
% 49.23/49.40 apply (zenon_L179_); trivial.
% 49.23/49.40 apply zenon_H220. apply refl_equal.
% 49.23/49.40 apply zenon_H220. apply refl_equal.
% 49.23/49.40 (* end of lemma zenon_L256_ *)
% 49.23/49.40 assert (zenon_L257_ : (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e21) = (e23))) -> ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> ((op2 (e23) (e23)) = (e22)) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e22) (e22)) = (e23)) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> False).
% 49.23/49.40 do 0 intro. intros zenon_H2cb zenon_H1d2 zenon_H260 zenon_H2c0 zenon_H297 zenon_H1d1 zenon_H242 zenon_H14 zenon_H264 zenon_H214 zenon_H25a zenon_H241 zenon_H19e zenon_H203 zenon_H19b zenon_H2d4.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H206 | zenon_intro zenon_H2cc ].
% 49.23/49.40 apply (zenon_L198_); trivial.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H2bf | zenon_intro zenon_H2cd ].
% 49.23/49.40 apply (zenon_L245_); trivial.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H275 | zenon_intro zenon_H2a6 ].
% 49.23/49.40 apply (zenon_L248_); trivial.
% 49.23/49.40 apply (zenon_L256_); trivial.
% 49.23/49.40 (* end of lemma zenon_L257_ *)
% 49.23/49.40 assert (zenon_L258_ : (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((op2 (e20) (e23)) = (e21)) -> (~((e21) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> ((op2 (e20) (e21)) = (e20)) -> (~((e20) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> ((op2 (e23) (e20)) = (e20)) -> (~((e22) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> False).
% 49.23/49.40 do 0 intro. intros zenon_H277 zenon_H1ad zenon_H2d4 zenon_H19b zenon_H2c0 zenon_H260 zenon_H1d2 zenon_H2cb zenon_H2ce zenon_H1f5 zenon_H2bc zenon_H1e6 zenon_H2b4 zenon_H261 zenon_H2a5 zenon_H1b4 zenon_H2af zenon_H2b9 zenon_H285 zenon_H193 zenon_H1a7 zenon_H19d zenon_H28d zenon_H298 zenon_H1dd zenon_H2a0 zenon_H29c zenon_H291 zenon_H218 zenon_H2cf zenon_H250 zenon_H1f0 zenon_H20b zenon_H28b zenon_H213 zenon_H241 zenon_H25a zenon_H214 zenon_H264 zenon_H14 zenon_H19e zenon_H1d1 zenon_H297.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d0 ].
% 49.23/49.40 apply (zenon_L167_); trivial.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H2d1 ].
% 49.23/49.40 apply (zenon_L177_); trivial.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H238 | zenon_intro zenon_H256 ].
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H2d2 ].
% 49.23/49.40 apply (zenon_L169_); trivial.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H1de | zenon_intro zenon_H2d3 ].
% 49.23/49.40 apply (zenon_L238_); trivial.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H295 ].
% 49.23/49.40 apply (zenon_L240_); trivial.
% 49.23/49.40 apply (zenon_L252_); trivial.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H1ac | zenon_intro zenon_H278 ].
% 49.23/49.40 apply (zenon_L159_); trivial.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H238 | zenon_intro zenon_H279 ].
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H20c | zenon_intro zenon_H251 ].
% 49.23/49.40 apply (zenon_L181_); trivial.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H20f | zenon_intro zenon_H252 ].
% 49.23/49.40 apply (zenon_L241_); trivial.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H215 | zenon_intro zenon_H242 ].
% 49.23/49.40 apply (zenon_L183_); trivial.
% 49.23/49.40 apply (zenon_L251_); trivial.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H203 | zenon_intro zenon_H275 ].
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H20c | zenon_intro zenon_H251 ].
% 49.23/49.40 apply (zenon_L181_); trivial.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H20f | zenon_intro zenon_H252 ].
% 49.23/49.40 apply (zenon_L255_); trivial.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H215 | zenon_intro zenon_H242 ].
% 49.23/49.40 apply (zenon_L183_); trivial.
% 49.23/49.40 apply (zenon_L257_); trivial.
% 49.23/49.40 apply (zenon_L249_); trivial.
% 49.23/49.40 (* end of lemma zenon_L258_ *)
% 49.23/49.40 assert (zenon_L259_ : (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((e20) = (e23))) -> ((op2 (e20) (e21)) = (e20)) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((op2 (e20) (e23)) = (e21)) -> (~((e21) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> ((op2 (e23) (e22)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e21)) = (e23)) -> (~((e22) = (e23))) -> ((op2 (e23) (e20)) = (e20)) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> False).
% 49.23/49.40 do 0 intro. intros zenon_H2cf zenon_H218 zenon_H29c zenon_H2a0 zenon_H298 zenon_H28d zenon_H19d zenon_H1a7 zenon_H193 zenon_H285 zenon_H2b9 zenon_H2af zenon_H1b4 zenon_H2bc zenon_H1f5 zenon_H2ce zenon_H1dd zenon_H277 zenon_H1ad zenon_H291 zenon_H1e6 zenon_H2b4 zenon_H261 zenon_H2a5 zenon_H2d4 zenon_H2c0 zenon_H260 zenon_H1d2 zenon_H2cb zenon_H282 zenon_H295 zenon_H297 zenon_H1d1 zenon_H264 zenon_H25a zenon_H241 zenon_H213 zenon_H256 zenon_H28b zenon_H20b zenon_H1f0 zenon_H250 zenon_H19e zenon_H14 zenon_H19b zenon_H1fc.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H25e | zenon_intro zenon_H286 ].
% 49.23/49.40 apply (zenon_L221_); trivial.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H214 | zenon_intro zenon_H287 ].
% 49.23/49.40 apply (zenon_L258_); trivial.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H27b | zenon_intro zenon_H215 ].
% 49.23/49.40 apply (zenon_L209_); trivial.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H1ac | zenon_intro zenon_H278 ].
% 49.23/49.40 apply (zenon_L159_); trivial.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H238 | zenon_intro zenon_H279 ].
% 49.23/49.40 apply (zenon_L254_); trivial.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H203 | zenon_intro zenon_H275 ].
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H206 | zenon_intro zenon_H2cc ].
% 49.23/49.40 apply (zenon_L198_); trivial.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H2bf | zenon_intro zenon_H2cd ].
% 49.23/49.40 apply (zenon_L245_); trivial.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H275 | zenon_intro zenon_H2a6 ].
% 49.23/49.40 apply (zenon_L253_); trivial.
% 49.23/49.40 apply (zenon_L256_); trivial.
% 49.23/49.40 apply (zenon_L253_); trivial.
% 49.23/49.40 (* end of lemma zenon_L259_ *)
% 49.23/49.40 assert (zenon_L260_ : ((op2 (e20) (e23)) = (e21)) -> ((op2 (e20) (e23)) = (e22)) -> (~((e21) = (e22))) -> False).
% 49.23/49.40 do 0 intro. intros zenon_H260 zenon_H28a zenon_H210.
% 49.23/49.40 elim (classic ((e22) = (e22))); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H1c2 ].
% 49.23/49.40 cut (((e22) = (e22)) = ((e21) = (e22))).
% 49.23/49.40 intro zenon_D_pnotp.
% 49.23/49.40 apply zenon_H210.
% 49.23/49.40 rewrite <- zenon_D_pnotp.
% 49.23/49.40 exact zenon_H1f1.
% 49.23/49.40 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1c2].
% 49.23/49.40 cut (((e22) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H211].
% 49.23/49.40 congruence.
% 49.23/49.40 cut (((op2 (e20) (e23)) = (e21)) = ((e22) = (e21))).
% 49.23/49.40 intro zenon_D_pnotp.
% 49.23/49.40 apply zenon_H211.
% 49.23/49.40 rewrite <- zenon_D_pnotp.
% 49.23/49.40 exact zenon_H260.
% 49.23/49.40 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1cb].
% 49.23/49.40 cut (((op2 (e20) (e23)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H2d7].
% 49.23/49.40 congruence.
% 49.23/49.40 exact (zenon_H2d7 zenon_H28a).
% 49.23/49.40 apply zenon_H1cb. apply refl_equal.
% 49.23/49.40 apply zenon_H1c2. apply refl_equal.
% 49.23/49.40 apply zenon_H1c2. apply refl_equal.
% 49.23/49.40 (* end of lemma zenon_L260_ *)
% 49.23/49.40 assert (zenon_L261_ : (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e20)) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e20) = (e21))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((e20) = (e22))) -> (~((e21) = (e23))) -> (~((e22) = (e23))) -> ((op2 (e20) (e21)) = (e20)) -> (~((e20) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (e20) (e23)) = (e21)) -> (~((e21) = (e22))) -> False).
% 49.23/49.40 do 0 intro. intros zenon_H2d8 zenon_H1ba zenon_H218 zenon_H2cf zenon_H29c zenon_H2a0 zenon_H298 zenon_H285 zenon_H2b9 zenon_H2af zenon_H2bc zenon_H1f5 zenon_H2ce zenon_H1dd zenon_H277 zenon_H291 zenon_H1e6 zenon_H2b4 zenon_H2a5 zenon_H2d4 zenon_H2c0 zenon_H2cb zenon_H282 zenon_H297 zenon_H264 zenon_H25a zenon_H241 zenon_H213 zenon_H20b zenon_H250 zenon_H1fc zenon_H2d9 zenon_H1c9 zenon_H2da zenon_H205 zenon_H2db zenon_H1ad zenon_H1b4 zenon_H1f0 zenon_H1d2 zenon_H28b zenon_H193 zenon_H1a7 zenon_H19d zenon_H19e zenon_H14 zenon_H19b zenon_H28d zenon_H260 zenon_H210.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H1ec | zenon_intro zenon_H2dc ].
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H19f | zenon_intro zenon_H28e ].
% 49.23/49.40 apply (zenon_L156_); trivial.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28f ].
% 49.23/49.40 apply (zenon_L167_); trivial.
% 49.23/49.40 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H206 ].
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ].
% 49.23/49.41 apply (zenon_L156_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ].
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2dd ].
% 49.23/49.41 apply (zenon_L158_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1da | zenon_intro zenon_H2de ].
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H2df ].
% 49.23/49.41 apply (zenon_L170_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H1db | zenon_intro zenon_H2e0 ].
% 49.23/49.41 apply (zenon_L171_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1de | zenon_intro zenon_H225 ].
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H1ed | zenon_intro zenon_H2e1 ].
% 49.23/49.41 apply (zenon_L175_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H1ef | zenon_intro zenon_H2e2 ].
% 49.23/49.41 apply (zenon_L176_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H214 | zenon_intro zenon_H258 ].
% 49.23/49.41 apply (zenon_L220_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d0 ].
% 49.23/49.41 apply (zenon_L167_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H2d1 ].
% 49.23/49.41 apply (zenon_L177_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H238 | zenon_intro zenon_H256 ].
% 49.23/49.41 apply (zenon_L231_); trivial.
% 49.23/49.41 apply (zenon_L224_); trivial.
% 49.23/49.41 apply (zenon_L232_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H25b | zenon_intro zenon_H261 ].
% 49.23/49.41 apply (zenon_L196_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d0 ].
% 49.23/49.41 apply (zenon_L167_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H2d1 ].
% 49.23/49.41 apply (zenon_L177_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H238 | zenon_intro zenon_H256 ].
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H2d2 ].
% 49.23/49.41 apply (zenon_L169_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H1de | zenon_intro zenon_H2d3 ].
% 49.23/49.41 apply (zenon_L238_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H295 ].
% 49.23/49.41 apply (zenon_L240_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H25e | zenon_intro zenon_H286 ].
% 49.23/49.41 apply (zenon_L233_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H214 | zenon_intro zenon_H287 ].
% 49.23/49.41 apply (zenon_L252_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H27b | zenon_intro zenon_H215 ].
% 49.23/49.41 apply (zenon_L209_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H2b0 ].
% 49.23/49.41 apply (zenon_L160_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H256 | zenon_intro zenon_H2b1 ].
% 49.23/49.41 apply (zenon_L254_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H229 | zenon_intro zenon_H2a6 ].
% 49.23/49.41 apply (zenon_L219_); trivial.
% 49.23/49.41 apply (zenon_L236_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H29b | zenon_intro zenon_H2a1 ].
% 49.23/49.41 apply (zenon_L222_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H20e | zenon_intro zenon_H2a2 ].
% 49.23/49.41 apply (zenon_L194_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H295 | zenon_intro zenon_H26d ].
% 49.23/49.41 apply (zenon_L259_); trivial.
% 49.23/49.41 apply (zenon_L223_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ].
% 49.23/49.41 apply (zenon_L159_); trivial.
% 49.23/49.41 apply (zenon_L160_); trivial.
% 49.23/49.41 apply (zenon_L198_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H288 | zenon_intro zenon_H2e3 ].
% 49.23/49.41 apply (zenon_L214_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H25e | zenon_intro zenon_H28a ].
% 49.23/49.41 apply (zenon_L233_); trivial.
% 49.23/49.41 apply (zenon_L260_); trivial.
% 49.23/49.41 (* end of lemma zenon_L261_ *)
% 49.23/49.41 assert (zenon_L262_ : (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (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 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e20) = (e21))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((e20) = (e22))) -> (~((e21) = (e23))) -> (~((e22) = (e23))) -> ((op2 (e20) (e21)) = (e20)) -> (~((e20) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((e21) = (e22))) -> False).
% 49.23/49.41 do 0 intro. intros zenon_H2e4 zenon_H195 zenon_H1bd zenon_H2e5 zenon_H1c4 zenon_H253 zenon_H228 zenon_H271 zenon_H274 zenon_H2e6 zenon_H1e1 zenon_H2d8 zenon_H1ba zenon_H218 zenon_H2cf zenon_H29c zenon_H2a0 zenon_H298 zenon_H285 zenon_H2b9 zenon_H2af zenon_H2bc zenon_H1f5 zenon_H2ce zenon_H1dd zenon_H277 zenon_H291 zenon_H1e6 zenon_H2b4 zenon_H2a5 zenon_H2d4 zenon_H2c0 zenon_H2cb zenon_H282 zenon_H297 zenon_H264 zenon_H25a zenon_H241 zenon_H213 zenon_H250 zenon_H1fc zenon_H2d9 zenon_H1c9 zenon_H2da zenon_H205 zenon_H2db zenon_H1ad zenon_H1b4 zenon_H1f0 zenon_H1d2 zenon_H28b zenon_H193 zenon_H1a7 zenon_H19d zenon_H19e zenon_H14 zenon_H19b zenon_H28d zenon_H210.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H2e4); [ zenon_intro zenon_H194 | zenon_intro zenon_H2e7 ].
% 49.23/49.41 apply (zenon_L154_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2e8 ].
% 49.23/49.41 apply (zenon_L161_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H1be | zenon_intro zenon_H20b ].
% 49.23/49.41 apply (zenon_L162_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H2e9 ].
% 49.23/49.41 apply (zenon_L165_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H2ea ].
% 49.23/49.41 apply (zenon_L166_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H260 ].
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H1ec | zenon_intro zenon_H2dc ].
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H19f | zenon_intro zenon_H28e ].
% 49.23/49.41 apply (zenon_L156_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28f ].
% 49.23/49.41 apply (zenon_L167_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H206 ].
% 49.23/49.41 apply (zenon_L169_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ].
% 49.23/49.41 apply (zenon_L156_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ].
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2dd ].
% 49.23/49.41 apply (zenon_L158_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1da | zenon_intro zenon_H2de ].
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H2df ].
% 49.23/49.41 apply (zenon_L170_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H1db | zenon_intro zenon_H2e0 ].
% 49.23/49.41 apply (zenon_L171_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1de | zenon_intro zenon_H225 ].
% 49.23/49.41 apply (zenon_L172_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H2eb ].
% 49.23/49.41 apply (zenon_L173_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H1db | zenon_intro zenon_H2ec ].
% 49.23/49.41 apply (zenon_L171_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H20e ].
% 49.23/49.41 apply (zenon_L174_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H1ed | zenon_intro zenon_H2e1 ].
% 49.23/49.41 apply (zenon_L175_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H1ef | zenon_intro zenon_H2e2 ].
% 49.23/49.41 apply (zenon_L176_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H214 | zenon_intro zenon_H258 ].
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d0 ].
% 49.23/49.41 apply (zenon_L167_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H2d1 ].
% 49.23/49.41 apply (zenon_L177_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H238 | zenon_intro zenon_H256 ].
% 49.23/49.41 apply (zenon_L193_); trivial.
% 49.23/49.41 apply (zenon_L194_); trivial.
% 49.23/49.41 apply (zenon_L195_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H25b | zenon_intro zenon_H261 ].
% 49.23/49.41 apply (zenon_L196_); trivial.
% 49.23/49.41 apply (zenon_L213_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ].
% 49.23/49.41 apply (zenon_L159_); trivial.
% 49.23/49.41 apply (zenon_L160_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H288 | zenon_intro zenon_H2e3 ].
% 49.23/49.41 apply (zenon_L214_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H25e | zenon_intro zenon_H28a ].
% 49.23/49.41 apply (zenon_L197_); trivial.
% 49.23/49.41 apply (zenon_L216_); trivial.
% 49.23/49.41 apply (zenon_L261_); trivial.
% 49.23/49.41 (* end of lemma zenon_L262_ *)
% 49.23/49.41 assert (zenon_L263_ : (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e20) (e22)) = (e20)) -> False).
% 49.23/49.41 do 0 intro. intros zenon_H2ed zenon_H14 zenon_H2ee.
% 49.23/49.41 cut (((e20) = (op2 (e22) (e22))) = ((op2 (e20) (e22)) = (op2 (e22) (e22)))).
% 49.23/49.41 intro zenon_D_pnotp.
% 49.23/49.41 apply zenon_H2ed.
% 49.23/49.41 rewrite <- zenon_D_pnotp.
% 49.23/49.41 exact zenon_H14.
% 49.23/49.41 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H1bf].
% 49.23/49.41 cut (((e20) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H2ef].
% 49.23/49.41 congruence.
% 49.23/49.41 elim (classic ((op2 (e20) (e22)) = (op2 (e20) (e22)))); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H1e0 ].
% 49.23/49.41 cut (((op2 (e20) (e22)) = (op2 (e20) (e22))) = ((e20) = (op2 (e20) (e22)))).
% 49.23/49.41 intro zenon_D_pnotp.
% 49.23/49.41 apply zenon_H2ef.
% 49.23/49.41 rewrite <- zenon_D_pnotp.
% 49.23/49.41 exact zenon_H1e2.
% 49.23/49.41 cut (((op2 (e20) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H1e0].
% 49.23/49.41 cut (((op2 (e20) (e22)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H2f0].
% 49.23/49.41 congruence.
% 49.23/49.41 exact (zenon_H2f0 zenon_H2ee).
% 49.23/49.41 apply zenon_H1e0. apply refl_equal.
% 49.23/49.41 apply zenon_H1e0. apply refl_equal.
% 49.23/49.41 apply zenon_H1bf. apply refl_equal.
% 49.23/49.41 (* end of lemma zenon_L263_ *)
% 49.23/49.41 assert (zenon_L264_ : ((op2 (e20) (e23)) = (e20)) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> False).
% 49.23/49.41 do 0 intro. intros zenon_H2f1 zenon_H194 zenon_H2f2.
% 49.23/49.41 elim (classic ((op2 (e20) (e23)) = (op2 (e20) (e23)))); [ zenon_intro zenon_H208 | zenon_intro zenon_H209 ].
% 49.23/49.41 cut (((op2 (e20) (e23)) = (op2 (e20) (e23))) = ((op2 (e20) (e20)) = (op2 (e20) (e23)))).
% 49.23/49.41 intro zenon_D_pnotp.
% 49.23/49.41 apply zenon_H2f2.
% 49.23/49.41 rewrite <- zenon_D_pnotp.
% 49.23/49.41 exact zenon_H208.
% 49.23/49.41 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H209].
% 49.23/49.41 cut (((op2 (e20) (e23)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H2f3].
% 49.23/49.41 congruence.
% 49.23/49.41 cut (((op2 (e20) (e23)) = (e20)) = ((op2 (e20) (e23)) = (op2 (e20) (e20)))).
% 49.23/49.41 intro zenon_D_pnotp.
% 49.23/49.41 apply zenon_H2f3.
% 49.23/49.41 rewrite <- zenon_D_pnotp.
% 49.23/49.41 exact zenon_H2f1.
% 49.23/49.41 cut (((e20) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H199].
% 49.23/49.41 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H209].
% 49.23/49.41 congruence.
% 49.23/49.41 apply zenon_H209. apply refl_equal.
% 49.23/49.41 apply zenon_H199. apply sym_equal. exact zenon_H194.
% 49.23/49.41 apply zenon_H209. apply refl_equal.
% 49.23/49.41 apply zenon_H209. apply refl_equal.
% 49.23/49.41 (* end of lemma zenon_L264_ *)
% 49.23/49.41 assert (zenon_L265_ : ((op2 (e20) (e21)) = (e21)) -> ((op2 (e20) (e21)) = (e23)) -> (~((e21) = (e23))) -> False).
% 49.23/49.41 do 0 intro. intros zenon_H1c8 zenon_H1ce zenon_H1d2.
% 49.23/49.41 elim (classic ((e23) = (e23))); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H1a9 ].
% 49.23/49.41 cut (((e23) = (e23)) = ((e21) = (e23))).
% 49.23/49.41 intro zenon_D_pnotp.
% 49.23/49.41 apply zenon_H1d2.
% 49.23/49.41 rewrite <- zenon_D_pnotp.
% 49.23/49.41 exact zenon_H1a8.
% 49.23/49.41 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1a9].
% 49.23/49.41 cut (((e23) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1d3].
% 49.23/49.41 congruence.
% 49.23/49.41 cut (((op2 (e20) (e21)) = (e21)) = ((e23) = (e21))).
% 49.23/49.41 intro zenon_D_pnotp.
% 49.23/49.41 apply zenon_H1d3.
% 49.23/49.41 rewrite <- zenon_D_pnotp.
% 49.23/49.41 exact zenon_H1c8.
% 49.23/49.41 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1cb].
% 49.23/49.41 cut (((op2 (e20) (e21)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1cf].
% 49.23/49.41 congruence.
% 49.23/49.41 exact (zenon_H1cf zenon_H1ce).
% 49.23/49.41 apply zenon_H1cb. apply refl_equal.
% 49.23/49.41 apply zenon_H1a9. apply refl_equal.
% 49.23/49.41 apply zenon_H1a9. apply refl_equal.
% 49.23/49.41 (* end of lemma zenon_L265_ *)
% 49.23/49.41 assert (zenon_L266_ : ((op2 (e20) (e23)) = (e20)) -> ((op2 (e20) (e21)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 49.23/49.41 do 0 intro. intros zenon_H2f1 zenon_H193 zenon_H2f4.
% 49.23/49.41 elim (classic ((op2 (e20) (e23)) = (op2 (e20) (e23)))); [ zenon_intro zenon_H208 | zenon_intro zenon_H209 ].
% 49.23/49.41 cut (((op2 (e20) (e23)) = (op2 (e20) (e23))) = ((op2 (e20) (e21)) = (op2 (e20) (e23)))).
% 49.23/49.41 intro zenon_D_pnotp.
% 49.23/49.41 apply zenon_H2f4.
% 49.23/49.41 rewrite <- zenon_D_pnotp.
% 49.23/49.41 exact zenon_H208.
% 49.23/49.41 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H209].
% 49.23/49.41 cut (((op2 (e20) (e23)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2f5].
% 49.23/49.41 congruence.
% 49.23/49.41 cut (((op2 (e20) (e23)) = (e20)) = ((op2 (e20) (e23)) = (op2 (e20) (e21)))).
% 49.23/49.41 intro zenon_D_pnotp.
% 49.23/49.41 apply zenon_H2f5.
% 49.23/49.41 rewrite <- zenon_D_pnotp.
% 49.23/49.41 exact zenon_H2f1.
% 49.23/49.41 cut (((e20) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2f6].
% 49.23/49.41 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H209].
% 49.23/49.41 congruence.
% 49.23/49.41 apply zenon_H209. apply refl_equal.
% 49.23/49.41 apply zenon_H2f6. apply sym_equal. exact zenon_H193.
% 49.23/49.41 apply zenon_H209. apply refl_equal.
% 49.23/49.41 apply zenon_H209. apply refl_equal.
% 49.23/49.41 (* end of lemma zenon_L266_ *)
% 49.23/49.41 assert (zenon_L267_ : (~((op2 (e23) (e20)) = (op2 (e23) (op2 (e20) (e23))))) -> ((op2 (e20) (e23)) = (e20)) -> False).
% 49.23/49.41 do 0 intro. intros zenon_H2f7 zenon_H2f1.
% 49.23/49.41 cut (((e20) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H2f8].
% 49.23/49.41 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1a9].
% 49.23/49.41 congruence.
% 49.23/49.41 apply zenon_H1a9. apply refl_equal.
% 49.23/49.41 apply zenon_H2f8. apply sym_equal. exact zenon_H2f1.
% 49.23/49.41 (* end of lemma zenon_L267_ *)
% 49.23/49.41 assert (zenon_L268_ : (((op2 (e20) (op2 (e20) (e20))) = (e20))/\(((op2 (e21) (op2 (e20) (e21))) = (e21))/\(((op2 (e22) (op2 (e20) (e22))) = (e22))/\((op2 (e23) (op2 (e20) (e23))) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e20)) -> ((op2 (e23) (e23)) = (e23)) -> False).
% 49.23/49.41 do 0 intro. intros zenon_H217 zenon_H2b4 zenon_H2f1 zenon_H2a6.
% 49.23/49.41 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H21a. zenon_intro zenon_H219.
% 49.23/49.41 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H21c. zenon_intro zenon_H21b.
% 49.23/49.41 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H21e. zenon_intro zenon_H21d.
% 49.23/49.41 cut (((op2 (e23) (op2 (e20) (e23))) = (e23)) = ((op2 (e23) (e20)) = (op2 (e23) (e23)))).
% 49.23/49.41 intro zenon_D_pnotp.
% 49.23/49.41 apply zenon_H2b4.
% 49.23/49.41 rewrite <- zenon_D_pnotp.
% 49.23/49.41 exact zenon_H21d.
% 49.23/49.41 cut (((e23) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H2a7].
% 49.23/49.41 cut (((op2 (e23) (op2 (e20) (e23))) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H2f9].
% 49.23/49.41 congruence.
% 49.23/49.41 elim (classic ((op2 (e23) (e20)) = (op2 (e23) (e20)))); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1b6 ].
% 49.23/49.41 cut (((op2 (e23) (e20)) = (op2 (e23) (e20))) = ((op2 (e23) (op2 (e20) (e23))) = (op2 (e23) (e20)))).
% 49.23/49.41 intro zenon_D_pnotp.
% 49.23/49.41 apply zenon_H2f9.
% 49.23/49.41 rewrite <- zenon_D_pnotp.
% 49.23/49.41 exact zenon_H1b5.
% 49.23/49.41 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1b6].
% 49.23/49.41 cut (((op2 (e23) (e20)) = (op2 (e23) (op2 (e20) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H2f7].
% 49.23/49.41 congruence.
% 49.23/49.41 apply (zenon_L267_); trivial.
% 49.23/49.41 apply zenon_H1b6. apply refl_equal.
% 49.23/49.41 apply zenon_H1b6. apply refl_equal.
% 49.23/49.41 apply zenon_H2a7. apply sym_equal. exact zenon_H2a6.
% 49.23/49.41 (* end of lemma zenon_L268_ *)
% 49.23/49.41 assert (zenon_L269_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((e22) = (e23))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e21)) = (e22)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e22) (e21)) = (e23)) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e20)) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> False).
% 49.23/49.41 do 0 intro. intros zenon_H2af zenon_H1b4 zenon_H19b zenon_H28b zenon_H298 zenon_H291 zenon_H20f zenon_H2bc zenon_H19e zenon_H238 zenon_H14 zenon_H1e6 zenon_H25a zenon_H2b4 zenon_H2f1 zenon_H214 zenon_H213 zenon_H297 zenon_H1d1.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H2b0 ].
% 49.23/49.41 apply (zenon_L160_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H256 | zenon_intro zenon_H2b1 ].
% 49.23/49.41 apply (zenon_L241_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H229 | zenon_intro zenon_H2a6 ].
% 49.23/49.41 apply (zenon_L219_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H298); [ zenon_intro zenon_H290 | zenon_intro zenon_H299 ].
% 49.23/49.41 apply (zenon_L217_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H295 | zenon_intro zenon_H29a ].
% 49.23/49.41 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H217 | zenon_intro zenon_H24e ].
% 49.23/49.41 apply (zenon_L268_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H227 | zenon_intro zenon_H24f ].
% 49.23/49.41 apply (zenon_L201_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H237 | zenon_intro zenon_H240 ].
% 49.23/49.41 apply (zenon_L189_); trivial.
% 49.23/49.41 apply (zenon_L243_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H215 | zenon_intro zenon_H229 ].
% 49.23/49.41 apply (zenon_L183_); trivial.
% 49.23/49.41 apply (zenon_L219_); trivial.
% 49.23/49.41 (* end of lemma zenon_L269_ *)
% 49.23/49.41 assert (zenon_L270_ : (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e21)) = (e22)) -> ((op2 (e23) (e22)) = (e22)) -> False).
% 49.23/49.41 do 0 intro. intros zenon_H228 zenon_H20f zenon_H215.
% 49.23/49.41 cut (((op2 (e23) (e21)) = (e22)) = ((op2 (e23) (e21)) = (op2 (e23) (e22)))).
% 49.23/49.41 intro zenon_D_pnotp.
% 49.23/49.41 apply zenon_H228.
% 49.23/49.41 rewrite <- zenon_D_pnotp.
% 49.23/49.41 exact zenon_H20f.
% 49.23/49.41 cut (((e22) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H216].
% 49.23/49.41 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H233].
% 49.23/49.41 congruence.
% 49.23/49.41 apply zenon_H233. apply refl_equal.
% 49.23/49.41 apply zenon_H216. apply sym_equal. exact zenon_H215.
% 49.23/49.41 (* end of lemma zenon_L270_ *)
% 49.23/49.41 assert (zenon_L271_ : (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((e21) = (e23))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> ((op2 (e23) (e21)) = (e22)) -> (~((e22) = (e23))) -> False).
% 49.23/49.41 do 0 intro. intros zenon_H2ce zenon_H1d2 zenon_H1c8 zenon_H1f5 zenon_H228 zenon_H1dd zenon_H19e zenon_H1d1 zenon_H19b zenon_H2af zenon_H1b4 zenon_H298 zenon_H291 zenon_H2bc zenon_H14 zenon_H1e6 zenon_H25a zenon_H2b4 zenon_H2f1 zenon_H213 zenon_H297 zenon_H285 zenon_H20f zenon_H28b.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d0 ].
% 49.23/49.41 apply (zenon_L265_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H2d1 ].
% 49.23/49.41 apply (zenon_L177_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H238 | zenon_intro zenon_H256 ].
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H25e | zenon_intro zenon_H286 ].
% 49.23/49.41 apply (zenon_L221_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H214 | zenon_intro zenon_H287 ].
% 49.23/49.41 apply (zenon_L269_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H27b | zenon_intro zenon_H215 ].
% 49.23/49.41 apply (zenon_L209_); trivial.
% 49.23/49.41 apply (zenon_L270_); trivial.
% 49.23/49.41 apply (zenon_L241_); trivial.
% 49.23/49.41 (* end of lemma zenon_L271_ *)
% 49.23/49.41 assert (zenon_L272_ : (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e20) (e23)) = (e20)) -> ((op2 (e21) (e23)) = (e20)) -> False).
% 49.23/49.41 do 0 intro. intros zenon_H205 zenon_H2f1 zenon_H261.
% 49.23/49.41 cut (((op2 (e20) (e23)) = (e20)) = ((op2 (e20) (e23)) = (op2 (e21) (e23)))).
% 49.23/49.41 intro zenon_D_pnotp.
% 49.23/49.41 apply zenon_H205.
% 49.23/49.41 rewrite <- zenon_D_pnotp.
% 49.23/49.41 exact zenon_H2f1.
% 49.23/49.41 cut (((e20) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H2b3].
% 49.23/49.41 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H209].
% 49.23/49.41 congruence.
% 49.23/49.41 apply zenon_H209. apply refl_equal.
% 49.23/49.41 apply zenon_H2b3. apply sym_equal. exact zenon_H261.
% 49.23/49.41 (* end of lemma zenon_L272_ *)
% 49.23/49.41 assert (zenon_L273_ : ((op2 (e20) (e23)) = (e20)) -> ((op2 (e20) (e23)) = (e23)) -> (~((e20) = (e23))) -> False).
% 49.23/49.41 do 0 intro. intros zenon_H2f1 zenon_H206 zenon_H1a7.
% 49.23/49.41 elim (classic ((e23) = (e23))); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H1a9 ].
% 49.23/49.41 cut (((e23) = (e23)) = ((e20) = (e23))).
% 49.23/49.41 intro zenon_D_pnotp.
% 49.23/49.41 apply zenon_H1a7.
% 49.23/49.41 rewrite <- zenon_D_pnotp.
% 49.23/49.41 exact zenon_H1a8.
% 49.23/49.41 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1a9].
% 49.23/49.41 cut (((e23) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H1aa].
% 49.23/49.41 congruence.
% 49.23/49.41 cut (((op2 (e20) (e23)) = (e20)) = ((e23) = (e20))).
% 49.23/49.41 intro zenon_D_pnotp.
% 49.23/49.41 apply zenon_H1aa.
% 49.23/49.41 rewrite <- zenon_D_pnotp.
% 49.23/49.41 exact zenon_H2f1.
% 49.23/49.41 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H1a4].
% 49.23/49.41 cut (((op2 (e20) (e23)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H20a].
% 49.23/49.41 congruence.
% 49.23/49.41 exact (zenon_H20a zenon_H206).
% 49.23/49.41 apply zenon_H1a4. apply refl_equal.
% 49.23/49.41 apply zenon_H1a9. apply refl_equal.
% 49.23/49.41 apply zenon_H1a9. apply refl_equal.
% 49.23/49.41 (* end of lemma zenon_L273_ *)
% 49.23/49.41 assert (zenon_L274_ : (((op2 (e20) (op2 (e20) (e20))) = (e20))/\(((op2 (e21) (op2 (e20) (e21))) = (e21))/\(((op2 (e22) (op2 (e20) (e22))) = (e22))/\((op2 (e23) (op2 (e20) (e23))) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e23)) = (e20)) -> ((op2 (e23) (e21)) = (e23)) -> False).
% 49.23/49.41 do 0 intro. intros zenon_H217 zenon_H2fa zenon_H2f1 zenon_H256.
% 49.23/49.41 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H21a. zenon_intro zenon_H219.
% 49.23/49.41 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H21c. zenon_intro zenon_H21b.
% 49.23/49.41 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H21e. zenon_intro zenon_H21d.
% 49.23/49.41 cut (((op2 (e23) (op2 (e20) (e23))) = (e23)) = ((op2 (e23) (e20)) = (op2 (e23) (e21)))).
% 49.23/49.41 intro zenon_D_pnotp.
% 49.23/49.41 apply zenon_H2fa.
% 49.23/49.41 rewrite <- zenon_D_pnotp.
% 49.23/49.41 exact zenon_H21d.
% 49.23/49.41 cut (((e23) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2fb].
% 49.23/49.41 cut (((op2 (e23) (op2 (e20) (e23))) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H2f9].
% 49.23/49.41 congruence.
% 49.23/49.41 elim (classic ((op2 (e23) (e20)) = (op2 (e23) (e20)))); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1b6 ].
% 49.23/49.41 cut (((op2 (e23) (e20)) = (op2 (e23) (e20))) = ((op2 (e23) (op2 (e20) (e23))) = (op2 (e23) (e20)))).
% 49.23/49.41 intro zenon_D_pnotp.
% 49.23/49.41 apply zenon_H2f9.
% 49.23/49.41 rewrite <- zenon_D_pnotp.
% 49.23/49.41 exact zenon_H1b5.
% 49.23/49.41 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1b6].
% 49.23/49.41 cut (((op2 (e23) (e20)) = (op2 (e23) (op2 (e20) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H2f7].
% 49.23/49.41 congruence.
% 49.23/49.41 apply (zenon_L267_); trivial.
% 49.23/49.41 apply zenon_H1b6. apply refl_equal.
% 49.23/49.41 apply zenon_H1b6. apply refl_equal.
% 49.23/49.41 apply zenon_H2fb. apply sym_equal. exact zenon_H256.
% 49.23/49.41 (* end of lemma zenon_L274_ *)
% 49.23/49.41 assert (zenon_L275_ : ((op2 (e23) (e21)) = (e23)) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e23)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e23) (e23)) = (e22)) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> False).
% 49.23/49.41 do 0 intro. intros zenon_H256 zenon_H2f1 zenon_H2fa zenon_H25a zenon_H214 zenon_H264 zenon_H14 zenon_H275 zenon_H19e zenon_H242 zenon_H1d1 zenon_H297.
% 49.23/49.41 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H217 | zenon_intro zenon_H24e ].
% 49.23/49.41 apply (zenon_L274_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H227 | zenon_intro zenon_H24f ].
% 49.23/49.41 apply (zenon_L201_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H237 | zenon_intro zenon_H240 ].
% 49.23/49.41 apply (zenon_L246_); trivial.
% 49.23/49.41 apply (zenon_L247_); trivial.
% 49.23/49.41 (* end of lemma zenon_L275_ *)
% 49.23/49.41 assert (zenon_L276_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> ((op2 (e23) (e20)) = (e20)) -> (~((e22) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e21)) = (e23)) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e23)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> False).
% 49.23/49.41 do 0 intro. intros zenon_H250 zenon_H1f0 zenon_H20b zenon_H28b zenon_H213 zenon_H256 zenon_H2f1 zenon_H2fa zenon_H25a zenon_H214 zenon_H264 zenon_H14 zenon_H275 zenon_H19e zenon_H1d1 zenon_H297.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H20c | zenon_intro zenon_H251 ].
% 49.23/49.41 apply (zenon_L181_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H20f | zenon_intro zenon_H252 ].
% 49.23/49.41 apply (zenon_L241_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H215 | zenon_intro zenon_H242 ].
% 49.23/49.41 apply (zenon_L183_); trivial.
% 49.23/49.41 apply (zenon_L275_); trivial.
% 49.23/49.41 (* end of lemma zenon_L276_ *)
% 49.23/49.41 assert (zenon_L277_ : (((op2 (e20) (op2 (e21) (e20))) = (e20))/\(((op2 (e21) (op2 (e21) (e21))) = (e21))/\(((op2 (e22) (op2 (e21) (e22))) = (e22))/\((op2 (e23) (op2 (e21) (e23))) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e21)) -> ((op2 (e23) (e23)) = (e23)) -> False).
% 49.23/49.41 do 0 intro. intros zenon_H227 zenon_H2a5 zenon_H225 zenon_H2a6.
% 49.23/49.41 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H22b. zenon_intro zenon_H22a.
% 49.23/49.41 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H22d. zenon_intro zenon_H22c.
% 49.23/49.41 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H22f. zenon_intro zenon_H22e.
% 49.23/49.41 cut (((op2 (e23) (op2 (e21) (e23))) = (e23)) = ((op2 (e23) (e21)) = (op2 (e23) (e23)))).
% 49.23/49.41 intro zenon_D_pnotp.
% 49.23/49.41 apply zenon_H2a5.
% 49.23/49.41 rewrite <- zenon_D_pnotp.
% 49.23/49.41 exact zenon_H22e.
% 49.23/49.41 cut (((e23) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H2a7].
% 49.23/49.41 cut (((op2 (e23) (op2 (e21) (e23))) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H231].
% 49.23/49.41 congruence.
% 49.23/49.41 elim (classic ((op2 (e23) (e21)) = (op2 (e23) (e21)))); [ zenon_intro zenon_H232 | zenon_intro zenon_H233 ].
% 49.23/49.41 cut (((op2 (e23) (e21)) = (op2 (e23) (e21))) = ((op2 (e23) (op2 (e21) (e23))) = (op2 (e23) (e21)))).
% 49.23/49.41 intro zenon_D_pnotp.
% 49.23/49.41 apply zenon_H231.
% 49.23/49.41 rewrite <- zenon_D_pnotp.
% 49.23/49.41 exact zenon_H232.
% 49.23/49.41 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H233].
% 49.23/49.41 cut (((op2 (e23) (e21)) = (op2 (e23) (op2 (e21) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H224].
% 49.23/49.41 congruence.
% 49.23/49.41 apply (zenon_L186_); trivial.
% 49.23/49.41 apply zenon_H233. apply refl_equal.
% 49.23/49.41 apply zenon_H233. apply refl_equal.
% 49.23/49.41 apply zenon_H2a7. apply sym_equal. exact zenon_H2a6.
% 49.23/49.41 (* end of lemma zenon_L277_ *)
% 49.23/49.41 assert (zenon_L278_ : ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e23)) = (e23)) -> ((op2 (e21) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e23) (e23)) = (e22)) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> False).
% 49.23/49.41 do 0 intro. intros zenon_H2f1 zenon_H2b4 zenon_H2a6 zenon_H225 zenon_H2a5 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H242 zenon_H1d1 zenon_H297.
% 49.23/49.41 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H217 | zenon_intro zenon_H24e ].
% 49.23/49.41 apply (zenon_L268_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H227 | zenon_intro zenon_H24f ].
% 49.23/49.41 apply (zenon_L277_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H237 | zenon_intro zenon_H240 ].
% 49.23/49.41 apply (zenon_L189_); trivial.
% 49.23/49.41 apply (zenon_L247_); trivial.
% 49.23/49.41 (* end of lemma zenon_L278_ *)
% 49.23/49.41 assert (zenon_L279_ : (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e21)) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((e22) = (e23))) -> ((op2 (e23) (e20)) = (e20)) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e23) (e23)) = (e22)) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> False).
% 49.23/49.41 do 0 intro. intros zenon_H2cb zenon_H1a7 zenon_H2c0 zenon_H19b zenon_H264 zenon_H214 zenon_H25a zenon_H2fa zenon_H256 zenon_H213 zenon_H28b zenon_H20b zenon_H1f0 zenon_H250 zenon_H2f1 zenon_H2b4 zenon_H225 zenon_H2a5 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H242 zenon_H1d1 zenon_H297.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H206 | zenon_intro zenon_H2cc ].
% 49.23/49.41 apply (zenon_L273_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H2bf | zenon_intro zenon_H2cd ].
% 49.23/49.41 apply (zenon_L245_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H275 | zenon_intro zenon_H2a6 ].
% 49.23/49.41 apply (zenon_L276_); trivial.
% 49.23/49.41 apply (zenon_L278_); trivial.
% 49.23/49.41 (* end of lemma zenon_L279_ *)
% 49.23/49.41 assert (zenon_L280_ : ((op2 (e23) (e23)) = (e23)) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e23) (e23)) = (e22)) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> False).
% 49.23/49.41 do 0 intro. intros zenon_H2a6 zenon_H2f1 zenon_H2b4 zenon_H258 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H242 zenon_H1d1 zenon_H297.
% 49.23/49.41 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H217 | zenon_intro zenon_H24e ].
% 49.23/49.41 apply (zenon_L268_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H227 | zenon_intro zenon_H24f ].
% 49.23/49.41 apply (zenon_L227_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H237 | zenon_intro zenon_H240 ].
% 49.23/49.41 apply (zenon_L189_); trivial.
% 49.23/49.41 apply (zenon_L247_); trivial.
% 49.23/49.41 (* end of lemma zenon_L280_ *)
% 49.23/49.41 assert (zenon_L281_ : (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e21)) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((e22) = (e23))) -> ((op2 (e23) (e20)) = (e20)) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e23) (e23)) = (e22)) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> False).
% 49.23/49.41 do 0 intro. intros zenon_H2cb zenon_H1a7 zenon_H2c0 zenon_H19b zenon_H264 zenon_H214 zenon_H25a zenon_H2fa zenon_H256 zenon_H213 zenon_H28b zenon_H20b zenon_H1f0 zenon_H250 zenon_H2f1 zenon_H2b4 zenon_H258 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H242 zenon_H1d1 zenon_H297.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H206 | zenon_intro zenon_H2cc ].
% 49.23/49.41 apply (zenon_L273_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H2bf | zenon_intro zenon_H2cd ].
% 49.23/49.41 apply (zenon_L245_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H275 | zenon_intro zenon_H2a6 ].
% 49.23/49.41 apply (zenon_L276_); trivial.
% 49.23/49.41 apply (zenon_L280_); trivial.
% 49.23/49.41 (* end of lemma zenon_L281_ *)
% 49.23/49.41 assert (zenon_L282_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> ((op2 (e23) (e20)) = (e20)) -> (~((e22) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((e20) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e23) (e23)) = (e22)) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> False).
% 49.23/49.41 do 0 intro. intros zenon_H2af zenon_H1b4 zenon_H250 zenon_H1f0 zenon_H20b zenon_H28b zenon_H213 zenon_H2fa zenon_H25a zenon_H214 zenon_H264 zenon_H19b zenon_H2c0 zenon_H1a7 zenon_H2cb zenon_H2f1 zenon_H2b4 zenon_H258 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H242 zenon_H1d1 zenon_H297.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H2b0 ].
% 49.23/49.41 apply (zenon_L160_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H256 | zenon_intro zenon_H2b1 ].
% 49.23/49.41 apply (zenon_L281_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H229 | zenon_intro zenon_H2a6 ].
% 49.23/49.41 apply (zenon_L219_); trivial.
% 49.23/49.41 apply (zenon_L280_); trivial.
% 49.23/49.41 (* end of lemma zenon_L282_ *)
% 49.23/49.41 assert (zenon_L283_ : (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e21)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> ((op2 (e23) (e23)) = (e22)) -> ((op2 (e22) (e21)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e20)) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((e22) = (e23))) -> ((op2 (e23) (e20)) = (e20)) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> False).
% 49.23/49.41 do 0 intro. intros zenon_H2fc zenon_H205 zenon_H2a5 zenon_H256 zenon_H297 zenon_H1d1 zenon_H242 zenon_H238 zenon_H1e6 zenon_H2b4 zenon_H2f1 zenon_H2cb zenon_H1a7 zenon_H264 zenon_H214 zenon_H25a zenon_H2fa zenon_H213 zenon_H28b zenon_H20b zenon_H1f0 zenon_H250 zenon_H1b4 zenon_H2af zenon_H19e zenon_H14 zenon_H19b zenon_H2c0.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H2fc); [ zenon_intro zenon_H261 | zenon_intro zenon_H2fd ].
% 49.23/49.41 apply (zenon_L272_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H2fd); [ zenon_intro zenon_H225 | zenon_intro zenon_H2fe ].
% 49.23/49.41 apply (zenon_L279_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H2fe); [ zenon_intro zenon_H258 | zenon_intro zenon_H2bf ].
% 49.23/49.41 apply (zenon_L282_); trivial.
% 49.23/49.41 apply (zenon_L245_); trivial.
% 49.23/49.41 (* end of lemma zenon_L283_ *)
% 49.23/49.41 assert (zenon_L284_ : ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e22) (e23)) = (e23)) -> ((op2 (e22) (e22)) = (e23)) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> False).
% 49.23/49.41 do 0 intro. intros zenon_H19e zenon_H275 zenon_H203 zenon_H19b zenon_H2ff.
% 49.23/49.41 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H24b | zenon_intro zenon_H24c ].
% 49.23/49.41 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((op2 (e21) (e23)) = (op2 (e22) (e23)))).
% 49.23/49.41 intro zenon_D_pnotp.
% 49.23/49.41 apply zenon_H2ff.
% 49.23/49.41 rewrite <- zenon_D_pnotp.
% 49.23/49.41 exact zenon_H24b.
% 49.23/49.41 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H24c].
% 49.23/49.41 cut (((op2 (e22) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H300].
% 49.23/49.41 congruence.
% 49.23/49.41 cut (((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) = ((op2 (e22) (e23)) = (op2 (e21) (e23)))).
% 49.23/49.41 intro zenon_D_pnotp.
% 49.23/49.41 apply zenon_H300.
% 49.23/49.41 rewrite <- zenon_D_pnotp.
% 49.23/49.41 exact zenon_H19e.
% 49.23/49.41 cut (((op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22))) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H202].
% 49.23/49.41 cut (((e23) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H276].
% 49.23/49.41 congruence.
% 49.23/49.41 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H24b | zenon_intro zenon_H24c ].
% 49.23/49.41 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((e23) = (op2 (e22) (e23)))).
% 49.23/49.41 intro zenon_D_pnotp.
% 49.23/49.41 apply zenon_H276.
% 49.23/49.41 rewrite <- zenon_D_pnotp.
% 49.23/49.41 exact zenon_H24b.
% 49.23/49.41 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H24c].
% 49.23/49.41 cut (((op2 (e22) (e23)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H2c6].
% 49.23/49.41 congruence.
% 49.23/49.41 exact (zenon_H2c6 zenon_H275).
% 49.23/49.41 apply zenon_H24c. apply refl_equal.
% 49.23/49.41 apply zenon_H24c. apply refl_equal.
% 49.23/49.41 apply (zenon_L179_); trivial.
% 49.23/49.41 apply zenon_H24c. apply refl_equal.
% 49.23/49.41 apply zenon_H24c. apply refl_equal.
% 49.23/49.41 (* end of lemma zenon_L284_ *)
% 49.23/49.41 assert (zenon_L285_ : (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e23))) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e22) (e22)) = (e23)) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> False).
% 49.23/49.41 do 0 intro. intros zenon_H2cb zenon_H1a7 zenon_H2f1 zenon_H2c0 zenon_H14 zenon_H2ff zenon_H19e zenon_H203 zenon_H19b zenon_H2d4.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H206 | zenon_intro zenon_H2cc ].
% 49.23/49.41 apply (zenon_L273_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H2bf | zenon_intro zenon_H2cd ].
% 49.23/49.41 apply (zenon_L245_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H275 | zenon_intro zenon_H2a6 ].
% 49.23/49.41 apply (zenon_L284_); trivial.
% 49.23/49.41 apply (zenon_L256_); trivial.
% 49.23/49.41 (* end of lemma zenon_L285_ *)
% 49.23/49.41 assert (zenon_L286_ : ((op2 (e23) (e21)) = (e23)) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e23)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e22)) -> False).
% 49.23/49.41 do 0 intro. intros zenon_H256 zenon_H2f1 zenon_H2fa zenon_H297 zenon_H1d1 zenon_H258 zenon_H264 zenon_H14 zenon_H275 zenon_H19e zenon_H291 zenon_H215.
% 49.23/49.41 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H217 | zenon_intro zenon_H24e ].
% 49.23/49.41 apply (zenon_L274_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H227 | zenon_intro zenon_H24f ].
% 49.23/49.41 apply (zenon_L227_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H237 | zenon_intro zenon_H240 ].
% 49.23/49.41 apply (zenon_L246_); trivial.
% 49.23/49.41 apply (zenon_L228_); trivial.
% 49.23/49.41 (* end of lemma zenon_L286_ *)
% 49.23/49.41 assert (zenon_L287_ : ((op2 (e23) (e23)) = (e23)) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e22)) -> False).
% 49.23/49.41 do 0 intro. intros zenon_H2a6 zenon_H2f1 zenon_H2b4 zenon_H297 zenon_H1d1 zenon_H258 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H291 zenon_H215.
% 49.23/49.41 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H217 | zenon_intro zenon_H24e ].
% 49.23/49.41 apply (zenon_L268_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H227 | zenon_intro zenon_H24f ].
% 49.23/49.41 apply (zenon_L227_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H237 | zenon_intro zenon_H240 ].
% 49.23/49.41 apply (zenon_L189_); trivial.
% 49.23/49.41 apply (zenon_L228_); trivial.
% 49.23/49.41 (* end of lemma zenon_L287_ *)
% 49.23/49.41 assert (zenon_L288_ : (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e21)) = (e23)) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e22)) -> False).
% 49.23/49.41 do 0 intro. intros zenon_H2cb zenon_H1a7 zenon_H2c0 zenon_H19b zenon_H264 zenon_H2fa zenon_H256 zenon_H2f1 zenon_H2b4 zenon_H297 zenon_H1d1 zenon_H258 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H291 zenon_H215.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H206 | zenon_intro zenon_H2cc ].
% 49.23/49.41 apply (zenon_L273_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H2bf | zenon_intro zenon_H2cd ].
% 49.23/49.41 apply (zenon_L245_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H275 | zenon_intro zenon_H2a6 ].
% 49.23/49.41 apply (zenon_L286_); trivial.
% 49.23/49.41 apply (zenon_L287_); trivial.
% 49.23/49.41 (* end of lemma zenon_L288_ *)
% 49.23/49.41 assert (zenon_L289_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((e20) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e22)) -> False).
% 49.23/49.41 do 0 intro. intros zenon_H2af zenon_H1b4 zenon_H2fa zenon_H264 zenon_H19b zenon_H2c0 zenon_H1a7 zenon_H2cb zenon_H2f1 zenon_H2b4 zenon_H297 zenon_H1d1 zenon_H258 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H291 zenon_H215.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H2b0 ].
% 49.23/49.41 apply (zenon_L160_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H256 | zenon_intro zenon_H2b1 ].
% 49.23/49.41 apply (zenon_L288_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H229 | zenon_intro zenon_H2a6 ].
% 49.23/49.41 apply (zenon_L219_); trivial.
% 49.23/49.41 apply (zenon_L287_); trivial.
% 49.23/49.41 (* end of lemma zenon_L289_ *)
% 49.23/49.41 assert (zenon_L290_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((e21) = (e23))) -> ((op2 (e20) (e21)) = (e21)) -> (~((e22) = (e23))) -> ((op2 (e20) (e22)) = (e22)) -> ((op2 (e20) (e23)) = (e20)) -> (~((e20) = (e23))) -> False).
% 49.23/49.41 do 0 intro. intros zenon_H28d zenon_H19b zenon_H14 zenon_H19e zenon_H19d zenon_H1d2 zenon_H1c8 zenon_H28b zenon_H25e zenon_H2f1 zenon_H1a7.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H19f | zenon_intro zenon_H28e ].
% 49.23/49.41 apply (zenon_L156_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28f ].
% 49.23/49.41 apply (zenon_L265_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H206 ].
% 49.23/49.41 apply (zenon_L221_); trivial.
% 49.23/49.41 apply (zenon_L273_); trivial.
% 49.23/49.41 (* end of lemma zenon_L290_ *)
% 49.23/49.41 assert (zenon_L291_ : (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e20) (e20)) = (e22)) -> ((op2 (e21) (e21)) = (e20)) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> ((op2 (e20) (e21)) = (e21)) -> (~((e21) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((e22) = (e23))) -> ((op2 (e23) (e20)) = (e20)) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((e20) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> False).
% 49.23/49.41 do 0 intro. intros zenon_H2da zenon_H1ec zenon_H1da zenon_H2fc zenon_H205 zenon_H2a5 zenon_H228 zenon_H2ce zenon_H1f5 zenon_H285 zenon_H1c8 zenon_H1d2 zenon_H19d zenon_H28d zenon_H25a zenon_H213 zenon_H28b zenon_H20b zenon_H1f0 zenon_H250 zenon_H2bc zenon_H298 zenon_H1b4 zenon_H2af zenon_H1dd zenon_H277 zenon_H1ad zenon_H1e6 zenon_H2b4 zenon_H2d4 zenon_H19b zenon_H2ff zenon_H2c0 zenon_H1a7 zenon_H2cb zenon_H2f1 zenon_H2fa zenon_H297 zenon_H1d1 zenon_H264 zenon_H14 zenon_H19e zenon_H291.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H1ed | zenon_intro zenon_H2e1 ].
% 49.23/49.41 apply (zenon_L175_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H1ef | zenon_intro zenon_H2e2 ].
% 49.23/49.41 apply (zenon_L176_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H214 | zenon_intro zenon_H258 ].
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d0 ].
% 49.23/49.41 apply (zenon_L265_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H2d1 ].
% 49.23/49.41 apply (zenon_L177_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H238 | zenon_intro zenon_H256 ].
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H20c | zenon_intro zenon_H251 ].
% 49.23/49.41 apply (zenon_L181_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H20f | zenon_intro zenon_H252 ].
% 49.23/49.41 apply (zenon_L271_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H215 | zenon_intro zenon_H242 ].
% 49.23/49.41 apply (zenon_L183_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H2b0 ].
% 49.23/49.41 apply (zenon_L160_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H256 | zenon_intro zenon_H2b1 ].
% 49.23/49.41 apply (zenon_L283_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H229 | zenon_intro zenon_H2a6 ].
% 49.23/49.41 apply (zenon_L219_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H2fc); [ zenon_intro zenon_H261 | zenon_intro zenon_H2fd ].
% 49.23/49.41 apply (zenon_L272_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H2fd); [ zenon_intro zenon_H225 | zenon_intro zenon_H2fe ].
% 49.23/49.41 apply (zenon_L278_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H2fe); [ zenon_intro zenon_H258 | zenon_intro zenon_H2bf ].
% 49.23/49.41 apply (zenon_L280_); trivial.
% 49.23/49.41 apply (zenon_L245_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H1ac | zenon_intro zenon_H278 ].
% 49.23/49.41 apply (zenon_L159_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H238 | zenon_intro zenon_H279 ].
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H20c | zenon_intro zenon_H251 ].
% 49.23/49.41 apply (zenon_L181_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H20f | zenon_intro zenon_H252 ].
% 49.23/49.41 apply (zenon_L269_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H215 | zenon_intro zenon_H242 ].
% 49.23/49.41 apply (zenon_L183_); trivial.
% 49.23/49.41 apply (zenon_L283_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H203 | zenon_intro zenon_H275 ].
% 49.23/49.41 apply (zenon_L285_); trivial.
% 49.23/49.41 apply (zenon_L276_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d0 ].
% 49.23/49.41 apply (zenon_L265_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H2d1 ].
% 49.23/49.41 apply (zenon_L177_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H238 | zenon_intro zenon_H256 ].
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H25e | zenon_intro zenon_H286 ].
% 49.23/49.41 apply (zenon_L221_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H214 | zenon_intro zenon_H287 ].
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H20c | zenon_intro zenon_H251 ].
% 49.23/49.41 apply (zenon_L181_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H20f | zenon_intro zenon_H252 ].
% 49.23/49.41 apply (zenon_L269_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H215 | zenon_intro zenon_H242 ].
% 49.23/49.41 apply (zenon_L289_); trivial.
% 49.23/49.41 apply (zenon_L282_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H27b | zenon_intro zenon_H215 ].
% 49.23/49.41 apply (zenon_L209_); trivial.
% 49.23/49.41 apply (zenon_L289_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H25e | zenon_intro zenon_H286 ].
% 49.23/49.41 apply (zenon_L290_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H214 | zenon_intro zenon_H287 ].
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H1ac | zenon_intro zenon_H278 ].
% 49.23/49.41 apply (zenon_L159_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H238 | zenon_intro zenon_H279 ].
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H20c | zenon_intro zenon_H251 ].
% 49.23/49.41 apply (zenon_L181_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H20f | zenon_intro zenon_H252 ].
% 49.23/49.41 apply (zenon_L269_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H215 | zenon_intro zenon_H242 ].
% 49.23/49.41 apply (zenon_L183_); trivial.
% 49.23/49.41 apply (zenon_L281_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H203 | zenon_intro zenon_H275 ].
% 49.23/49.41 apply (zenon_L285_); trivial.
% 49.23/49.41 apply (zenon_L276_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H27b | zenon_intro zenon_H215 ].
% 49.23/49.41 apply (zenon_L209_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H1ac | zenon_intro zenon_H278 ].
% 49.23/49.41 apply (zenon_L159_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H238 | zenon_intro zenon_H279 ].
% 49.23/49.41 apply (zenon_L288_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H203 | zenon_intro zenon_H275 ].
% 49.23/49.41 apply (zenon_L285_); trivial.
% 49.23/49.41 apply (zenon_L286_); trivial.
% 49.23/49.41 (* end of lemma zenon_L291_ *)
% 49.23/49.41 assert (zenon_L292_ : (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e20)) -> False).
% 49.23/49.41 do 0 intro. intros zenon_H301 zenon_H14 zenon_H302.
% 49.23/49.41 cut (((e20) = (op2 (e22) (e22))) = ((op2 (e22) (e21)) = (op2 (e22) (e22)))).
% 49.23/49.41 intro zenon_D_pnotp.
% 49.23/49.41 apply zenon_H301.
% 49.23/49.41 rewrite <- zenon_D_pnotp.
% 49.23/49.41 exact zenon_H14.
% 49.23/49.41 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H1bf].
% 49.23/49.41 cut (((e20) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H303].
% 49.23/49.41 congruence.
% 49.23/49.41 elim (classic ((op2 (e22) (e21)) = (op2 (e22) (e21)))); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1e8 ].
% 49.23/49.41 cut (((op2 (e22) (e21)) = (op2 (e22) (e21))) = ((e20) = (op2 (e22) (e21)))).
% 49.23/49.41 intro zenon_D_pnotp.
% 49.23/49.41 apply zenon_H303.
% 49.23/49.41 rewrite <- zenon_D_pnotp.
% 49.23/49.41 exact zenon_H1e7.
% 49.23/49.41 cut (((op2 (e22) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H1e8].
% 49.23/49.41 cut (((op2 (e22) (e21)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H304].
% 49.23/49.41 congruence.
% 49.23/49.41 exact (zenon_H304 zenon_H302).
% 49.23/49.41 apply zenon_H1e8. apply refl_equal.
% 49.23/49.41 apply zenon_H1e8. apply refl_equal.
% 49.23/49.41 apply zenon_H1bf. apply refl_equal.
% 49.23/49.41 (* end of lemma zenon_L292_ *)
% 49.23/49.41 assert (zenon_L293_ : (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e20)) = (e20)) -> ((op2 (e23) (e21)) = (e20)) -> False).
% 49.23/49.41 do 0 intro. intros zenon_H2fa zenon_H20b zenon_H305.
% 49.23/49.41 cut (((op2 (e23) (e20)) = (e20)) = ((op2 (e23) (e20)) = (op2 (e23) (e21)))).
% 49.23/49.41 intro zenon_D_pnotp.
% 49.23/49.41 apply zenon_H2fa.
% 49.23/49.41 rewrite <- zenon_D_pnotp.
% 49.23/49.41 exact zenon_H20b.
% 49.23/49.41 cut (((e20) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H306].
% 49.23/49.41 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1b6].
% 49.23/49.41 congruence.
% 49.23/49.41 apply zenon_H1b6. apply refl_equal.
% 49.23/49.41 apply zenon_H306. apply sym_equal. exact zenon_H305.
% 49.23/49.41 (* end of lemma zenon_L293_ *)
% 49.23/49.41 assert (zenon_L294_ : ((op2 (e20) (e21)) = (e21)) -> ((op2 (e20) (e21)) = (e22)) -> (~((e21) = (e22))) -> False).
% 49.23/49.41 do 0 intro. intros zenon_H1c8 zenon_H288 zenon_H210.
% 49.23/49.41 elim (classic ((e22) = (e22))); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H1c2 ].
% 49.23/49.41 cut (((e22) = (e22)) = ((e21) = (e22))).
% 49.23/49.41 intro zenon_D_pnotp.
% 49.23/49.41 apply zenon_H210.
% 49.23/49.41 rewrite <- zenon_D_pnotp.
% 49.23/49.41 exact zenon_H1f1.
% 49.23/49.41 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1c2].
% 49.23/49.41 cut (((e22) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H211].
% 49.23/49.41 congruence.
% 49.23/49.41 cut (((op2 (e20) (e21)) = (e21)) = ((e22) = (e21))).
% 49.23/49.41 intro zenon_D_pnotp.
% 49.23/49.41 apply zenon_H211.
% 49.23/49.41 rewrite <- zenon_D_pnotp.
% 49.23/49.41 exact zenon_H1c8.
% 49.23/49.41 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1cb].
% 49.23/49.41 cut (((op2 (e20) (e21)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H289].
% 49.23/49.41 congruence.
% 49.23/49.41 exact (zenon_H289 zenon_H288).
% 49.23/49.41 apply zenon_H1cb. apply refl_equal.
% 49.23/49.41 apply zenon_H1c2. apply refl_equal.
% 49.23/49.41 apply zenon_H1c2. apply refl_equal.
% 49.23/49.41 (* end of lemma zenon_L294_ *)
% 49.23/49.41 assert (zenon_L295_ : ((op2 (e20) (e23)) = (e20)) -> ((op2 (e20) (e23)) = (e22)) -> (~((e20) = (e22))) -> False).
% 49.23/49.41 do 0 intro. intros zenon_H2f1 zenon_H28a zenon_H1f0.
% 49.23/49.41 elim (classic ((e22) = (e22))); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H1c2 ].
% 49.23/49.41 cut (((e22) = (e22)) = ((e20) = (e22))).
% 49.23/49.41 intro zenon_D_pnotp.
% 49.23/49.41 apply zenon_H1f0.
% 49.23/49.41 rewrite <- zenon_D_pnotp.
% 49.23/49.41 exact zenon_H1f1.
% 49.23/49.41 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1c2].
% 49.23/49.41 cut (((e22) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H1f2].
% 49.23/49.41 congruence.
% 49.23/49.41 cut (((op2 (e20) (e23)) = (e20)) = ((e22) = (e20))).
% 49.23/49.41 intro zenon_D_pnotp.
% 49.23/49.41 apply zenon_H1f2.
% 49.23/49.41 rewrite <- zenon_D_pnotp.
% 49.23/49.41 exact zenon_H2f1.
% 49.23/49.41 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H1a4].
% 49.23/49.41 cut (((op2 (e20) (e23)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H2d7].
% 49.23/49.41 congruence.
% 49.23/49.41 exact (zenon_H2d7 zenon_H28a).
% 49.23/49.41 apply zenon_H1a4. apply refl_equal.
% 49.23/49.41 apply zenon_H1c2. apply refl_equal.
% 49.23/49.41 apply zenon_H1c2. apply refl_equal.
% 49.23/49.41 (* end of lemma zenon_L295_ *)
% 49.23/49.41 assert (zenon_L296_ : (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e20) (e21)) = (e23)) -> ((op2 (e22) (e21)) = (e23)) -> False).
% 49.23/49.41 do 0 intro. intros zenon_H307 zenon_H1ce zenon_H238.
% 49.23/49.41 cut (((op2 (e20) (e21)) = (e23)) = ((op2 (e20) (e21)) = (op2 (e22) (e21)))).
% 49.23/49.41 intro zenon_D_pnotp.
% 49.23/49.41 apply zenon_H307.
% 49.23/49.41 rewrite <- zenon_D_pnotp.
% 49.23/49.41 exact zenon_H1ce.
% 49.23/49.41 cut (((e23) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H23e].
% 49.23/49.41 cut (((op2 (e20) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H197].
% 49.23/49.41 congruence.
% 49.23/49.41 apply zenon_H197. apply refl_equal.
% 49.23/49.41 apply zenon_H23e. apply sym_equal. exact zenon_H238.
% 49.23/49.41 (* end of lemma zenon_L296_ *)
% 49.23/49.41 assert (zenon_L297_ : (((op2 (e20) (op2 (e20) (e20))) = (e20))/\(((op2 (e21) (op2 (e20) (e21))) = (e21))/\(((op2 (e22) (op2 (e20) (e22))) = (e22))/\((op2 (e23) (op2 (e20) (e23))) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e23)) = (e20)) -> ((op2 (e23) (e22)) = (e23)) -> False).
% 49.23/49.41 do 0 intro. intros zenon_H217 zenon_H308 zenon_H2f1 zenon_H229.
% 49.23/49.41 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H21a. zenon_intro zenon_H219.
% 49.23/49.41 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H21c. zenon_intro zenon_H21b.
% 49.23/49.41 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H21e. zenon_intro zenon_H21d.
% 49.23/49.41 cut (((op2 (e23) (op2 (e20) (e23))) = (e23)) = ((op2 (e23) (e20)) = (op2 (e23) (e22)))).
% 49.23/49.41 intro zenon_D_pnotp.
% 49.23/49.41 apply zenon_H308.
% 49.23/49.41 rewrite <- zenon_D_pnotp.
% 49.23/49.41 exact zenon_H21d.
% 49.23/49.41 cut (((e23) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H230].
% 49.23/49.41 cut (((op2 (e23) (op2 (e20) (e23))) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H2f9].
% 49.23/49.41 congruence.
% 49.23/49.41 elim (classic ((op2 (e23) (e20)) = (op2 (e23) (e20)))); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1b6 ].
% 49.23/49.41 cut (((op2 (e23) (e20)) = (op2 (e23) (e20))) = ((op2 (e23) (op2 (e20) (e23))) = (op2 (e23) (e20)))).
% 49.23/49.41 intro zenon_D_pnotp.
% 49.23/49.41 apply zenon_H2f9.
% 49.23/49.41 rewrite <- zenon_D_pnotp.
% 49.23/49.41 exact zenon_H1b5.
% 49.23/49.41 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1b6].
% 49.23/49.41 cut (((op2 (e23) (e20)) = (op2 (e23) (op2 (e20) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H2f7].
% 49.23/49.41 congruence.
% 49.23/49.41 apply (zenon_L267_); trivial.
% 49.23/49.41 apply zenon_H1b6. apply refl_equal.
% 49.23/49.41 apply zenon_H1b6. apply refl_equal.
% 49.23/49.41 apply zenon_H230. apply sym_equal. exact zenon_H229.
% 49.23/49.41 (* end of lemma zenon_L297_ *)
% 49.23/49.41 assert (zenon_L298_ : ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e23)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e22)) = (e23)) -> ((op2 (e23) (e23)) = (e22)) -> False).
% 49.23/49.41 do 0 intro. intros zenon_H2f1 zenon_H308 zenon_H225 zenon_H228 zenon_H264 zenon_H14 zenon_H275 zenon_H19e zenon_H241 zenon_H229 zenon_H242.
% 49.23/49.41 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H217 | zenon_intro zenon_H24e ].
% 49.23/49.41 apply (zenon_L297_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H227 | zenon_intro zenon_H24f ].
% 49.23/49.41 apply (zenon_L187_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H237 | zenon_intro zenon_H240 ].
% 49.23/49.41 apply (zenon_L246_); trivial.
% 49.23/49.41 apply (zenon_L190_); trivial.
% 49.23/49.41 (* end of lemma zenon_L298_ *)
% 49.23/49.41 assert (zenon_L299_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> ((op2 (e23) (e20)) = (e20)) -> (~((e21) = (e22))) -> ((op2 (e23) (e21)) = (e21)) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e23)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e22)) = (e23)) -> False).
% 49.23/49.41 do 0 intro. intros zenon_H250 zenon_H1f0 zenon_H20b zenon_H210 zenon_H20e zenon_H214 zenon_H213 zenon_H2f1 zenon_H308 zenon_H225 zenon_H228 zenon_H264 zenon_H14 zenon_H275 zenon_H19e zenon_H241 zenon_H229.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H20c | zenon_intro zenon_H251 ].
% 49.23/49.41 apply (zenon_L181_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H20f | zenon_intro zenon_H252 ].
% 49.23/49.41 apply (zenon_L182_); trivial.
% 49.23/49.41 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H215 | zenon_intro zenon_H242 ].
% 49.23/49.41 apply (zenon_L183_); trivial.
% 49.23/49.41 apply (zenon_L298_); trivial.
% 49.23/49.41 (* end of lemma zenon_L299_ *)
% 49.23/49.41 assert (zenon_L300_ : (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e23) (e22)) = (e23)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e22) (e23)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e23)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e21)) = (e21)) -> (~((e21) = (e22))) -> ((op2 (e23) (e20)) = (e20)) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> False).
% 49.23/49.42 do 0 intro. intros zenon_H282 zenon_H25a zenon_H1d0 zenon_H1dd zenon_H229 zenon_H241 zenon_H275 zenon_H264 zenon_H228 zenon_H225 zenon_H308 zenon_H2f1 zenon_H213 zenon_H20e zenon_H210 zenon_H20b zenon_H1f0 zenon_H250 zenon_H19e zenon_H14 zenon_H19b zenon_H1fc.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H25b | zenon_intro zenon_H283 ].
% 49.23/49.42 apply (zenon_L196_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H1de | zenon_intro zenon_H284 ].
% 49.23/49.42 apply (zenon_L172_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_H214 | zenon_intro zenon_H1fb ].
% 49.23/49.42 apply (zenon_L299_); trivial.
% 49.23/49.42 apply (zenon_L178_); trivial.
% 49.23/49.42 (* end of lemma zenon_L300_ *)
% 49.23/49.42 assert (zenon_L301_ : (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e22) (e23)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e23)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e21)) = (e21)) -> (~((e21) = (e22))) -> ((op2 (e23) (e20)) = (e20)) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> False).
% 49.23/49.42 do 0 intro. intros zenon_H253 zenon_H1d2 zenon_H2ff zenon_H282 zenon_H25a zenon_H1d0 zenon_H1dd zenon_H241 zenon_H275 zenon_H264 zenon_H228 zenon_H225 zenon_H308 zenon_H2f1 zenon_H213 zenon_H20e zenon_H210 zenon_H20b zenon_H1f0 zenon_H250 zenon_H19e zenon_H14 zenon_H19b zenon_H1fc.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H254 ].
% 49.23/49.42 apply (zenon_L169_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1fb | zenon_intro zenon_H255 ].
% 49.23/49.42 apply (zenon_L178_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H203 | zenon_intro zenon_H229 ].
% 49.23/49.42 apply (zenon_L284_); trivial.
% 49.23/49.42 apply (zenon_L300_); trivial.
% 49.23/49.42 (* end of lemma zenon_L301_ *)
% 49.23/49.42 assert (zenon_L302_ : (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> ((op2 (e23) (e20)) = (e20)) -> (~((e21) = (e22))) -> ((op2 (e23) (e21)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((e21) = (e23))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e22) (e22)) = (e23)) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> False).
% 49.23/49.42 do 0 intro. intros zenon_H2cb zenon_H1a7 zenon_H2c0 zenon_H1fc zenon_H14 zenon_H250 zenon_H1f0 zenon_H20b zenon_H210 zenon_H20e zenon_H213 zenon_H2f1 zenon_H308 zenon_H225 zenon_H228 zenon_H264 zenon_H241 zenon_H1dd zenon_H1d0 zenon_H25a zenon_H282 zenon_H2ff zenon_H1d2 zenon_H253 zenon_H19e zenon_H203 zenon_H19b zenon_H2d4.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H206 | zenon_intro zenon_H2cc ].
% 49.23/49.42 apply (zenon_L273_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H2bf | zenon_intro zenon_H2cd ].
% 49.23/49.42 apply (zenon_L245_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H275 | zenon_intro zenon_H2a6 ].
% 49.23/49.42 apply (zenon_L301_); trivial.
% 49.23/49.42 apply (zenon_L256_); trivial.
% 49.23/49.42 (* end of lemma zenon_L302_ *)
% 49.23/49.42 assert (zenon_L303_ : (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((e20) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e23)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e21)) = (e21)) -> (~((e21) = (e22))) -> ((op2 (e23) (e20)) = (e20)) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> False).
% 49.23/49.42 do 0 intro. intros zenon_H277 zenon_H1ad zenon_H1ce zenon_H307 zenon_H2d4 zenon_H2c0 zenon_H1a7 zenon_H2cb zenon_H253 zenon_H1d2 zenon_H2ff zenon_H282 zenon_H25a zenon_H1d0 zenon_H1dd zenon_H241 zenon_H264 zenon_H228 zenon_H225 zenon_H308 zenon_H2f1 zenon_H213 zenon_H20e zenon_H210 zenon_H20b zenon_H1f0 zenon_H250 zenon_H19e zenon_H14 zenon_H19b zenon_H1fc.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H1ac | zenon_intro zenon_H278 ].
% 49.23/49.42 apply (zenon_L159_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H238 | zenon_intro zenon_H279 ].
% 49.23/49.42 apply (zenon_L296_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H203 | zenon_intro zenon_H275 ].
% 49.23/49.42 apply (zenon_L302_); trivial.
% 49.23/49.42 apply (zenon_L301_); trivial.
% 49.23/49.42 (* end of lemma zenon_L303_ *)
% 49.23/49.42 assert (zenon_L304_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (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 (e21) (e21)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((e20) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((e21) = (e22))) -> ((op2 (e23) (e20)) = (e20)) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> False).
% 49.23/49.42 do 0 intro. intros zenon_H2d9 zenon_H2e6 zenon_H1e1 zenon_H1c9 zenon_H1da zenon_H1e6 zenon_H277 zenon_H1ad zenon_H1ce zenon_H307 zenon_H2d4 zenon_H2c0 zenon_H1a7 zenon_H2cb zenon_H253 zenon_H1d2 zenon_H2ff zenon_H282 zenon_H25a zenon_H1d0 zenon_H1dd zenon_H241 zenon_H264 zenon_H228 zenon_H308 zenon_H2f1 zenon_H213 zenon_H210 zenon_H20b zenon_H1f0 zenon_H250 zenon_H19e zenon_H14 zenon_H19b zenon_H1fc.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H2df ].
% 49.23/49.42 apply (zenon_L170_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H1db | zenon_intro zenon_H2e0 ].
% 49.23/49.42 apply (zenon_L171_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1de | zenon_intro zenon_H225 ].
% 49.23/49.42 apply (zenon_L172_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H2eb ].
% 49.23/49.42 apply (zenon_L173_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H1db | zenon_intro zenon_H2ec ].
% 49.23/49.42 apply (zenon_L171_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H20e ].
% 49.23/49.42 apply (zenon_L174_); trivial.
% 49.23/49.42 apply (zenon_L303_); trivial.
% 49.23/49.42 (* end of lemma zenon_L304_ *)
% 49.23/49.42 assert (zenon_L305_ : ((op2 (e20) (e23)) = (e20)) -> ((op2 (e20) (e23)) = (e21)) -> (~((e20) = (e21))) -> False).
% 49.23/49.42 do 0 intro. intros zenon_H2f1 zenon_H260 zenon_H1c9.
% 49.23/49.42 elim (classic ((e21) = (e21))); [ zenon_intro zenon_H1ca | zenon_intro zenon_H1cb ].
% 49.23/49.42 cut (((e21) = (e21)) = ((e20) = (e21))).
% 49.23/49.42 intro zenon_D_pnotp.
% 49.23/49.42 apply zenon_H1c9.
% 49.23/49.42 rewrite <- zenon_D_pnotp.
% 49.23/49.42 exact zenon_H1ca.
% 49.23/49.42 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1cb].
% 49.23/49.42 cut (((e21) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H1cc].
% 49.23/49.42 congruence.
% 49.23/49.42 cut (((op2 (e20) (e23)) = (e20)) = ((e21) = (e20))).
% 49.23/49.42 intro zenon_D_pnotp.
% 49.23/49.42 apply zenon_H1cc.
% 49.23/49.42 rewrite <- zenon_D_pnotp.
% 49.23/49.42 exact zenon_H2f1.
% 49.23/49.42 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H1a4].
% 49.23/49.42 cut (((op2 (e20) (e23)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H309].
% 49.23/49.42 congruence.
% 49.23/49.42 exact (zenon_H309 zenon_H260).
% 49.23/49.42 apply zenon_H1a4. apply refl_equal.
% 49.23/49.42 apply zenon_H1cb. apply refl_equal.
% 49.23/49.42 apply zenon_H1cb. apply refl_equal.
% 49.23/49.42 (* end of lemma zenon_L305_ *)
% 49.23/49.42 assert (zenon_L306_ : (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e22) = (e23))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (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)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (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 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((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 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (e20) (e23)) = (e20)) -> (~((e20) = (e21))) -> False).
% 49.23/49.42 do 0 intro. intros zenon_H2e4 zenon_H2f2 zenon_H1ba zenon_H1bd zenon_H2e5 zenon_H1c4 zenon_H28b zenon_H2da zenon_H2fc zenon_H205 zenon_H2a5 zenon_H2ce zenon_H1f5 zenon_H285 zenon_H2bc zenon_H298 zenon_H1b4 zenon_H2af zenon_H2b4 zenon_H297 zenon_H291 zenon_H2d8 zenon_H1a7 zenon_H1d2 zenon_H30a zenon_H2f4 zenon_H1fc zenon_H19b zenon_H19e zenon_H250 zenon_H1f0 zenon_H210 zenon_H213 zenon_H308 zenon_H228 zenon_H264 zenon_H241 zenon_H1dd zenon_H25a zenon_H282 zenon_H2ff zenon_H253 zenon_H2cb zenon_H2c0 zenon_H2d4 zenon_H307 zenon_H1ad zenon_H277 zenon_H1e6 zenon_H1e1 zenon_H2e6 zenon_H2d9 zenon_H14 zenon_H301 zenon_H2fa zenon_H19d zenon_H28d zenon_H2f1 zenon_H1c9.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H2e4); [ zenon_intro zenon_H194 | zenon_intro zenon_H2e7 ].
% 49.23/49.42 apply (zenon_L264_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2e8 ].
% 49.23/49.42 apply (zenon_L161_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H1be | zenon_intro zenon_H20b ].
% 49.23/49.42 apply (zenon_L162_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H2e9 ].
% 49.23/49.42 apply (zenon_L165_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H2ea ].
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H1ec | zenon_intro zenon_H2dc ].
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H19f | zenon_intro zenon_H28e ].
% 49.23/49.42 apply (zenon_L156_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28f ].
% 49.23/49.42 apply (zenon_L265_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H206 ].
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H193 | zenon_intro zenon_H30b ].
% 49.23/49.42 apply (zenon_L266_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H30b); [ zenon_intro zenon_H1da | zenon_intro zenon_H30c ].
% 49.23/49.42 apply (zenon_L291_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H30c); [ zenon_intro zenon_H302 | zenon_intro zenon_H305 ].
% 49.23/49.42 apply (zenon_L292_); trivial.
% 49.23/49.42 apply (zenon_L293_); trivial.
% 49.23/49.42 apply (zenon_L273_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H288 | zenon_intro zenon_H2e3 ].
% 49.23/49.42 apply (zenon_L294_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H25e | zenon_intro zenon_H28a ].
% 49.23/49.42 apply (zenon_L290_); trivial.
% 49.23/49.42 apply (zenon_L295_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H260 ].
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H19f | zenon_intro zenon_H28e ].
% 49.23/49.42 apply (zenon_L156_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28f ].
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H193 | zenon_intro zenon_H30b ].
% 49.23/49.42 apply (zenon_L266_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H30b); [ zenon_intro zenon_H1da | zenon_intro zenon_H30c ].
% 49.23/49.42 apply (zenon_L304_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H30c); [ zenon_intro zenon_H302 | zenon_intro zenon_H305 ].
% 49.23/49.42 apply (zenon_L292_); trivial.
% 49.23/49.42 apply (zenon_L293_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H206 ].
% 49.23/49.42 apply (zenon_L169_); trivial.
% 49.23/49.42 apply (zenon_L273_); trivial.
% 49.23/49.42 apply (zenon_L305_); trivial.
% 49.23/49.42 (* end of lemma zenon_L306_ *)
% 49.23/49.42 assert (zenon_L307_ : (((op2 (e20) (op2 (e20) (e20))) = (e20))/\(((op2 (e21) (op2 (e20) (e21))) = (e21))/\(((op2 (e22) (op2 (e20) (e22))) = (e22))/\((op2 (e23) (op2 (e20) (e23))) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e23)) = (e21)) -> ((op2 (e23) (e22)) = (e23)) -> False).
% 49.23/49.42 do 0 intro. intros zenon_H217 zenon_H228 zenon_H260 zenon_H229.
% 49.23/49.42 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H21a. zenon_intro zenon_H219.
% 49.23/49.42 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H21c. zenon_intro zenon_H21b.
% 49.23/49.42 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H21e. zenon_intro zenon_H21d.
% 49.23/49.42 cut (((op2 (e23) (op2 (e20) (e23))) = (e23)) = ((op2 (e23) (e21)) = (op2 (e23) (e22)))).
% 49.23/49.42 intro zenon_D_pnotp.
% 49.23/49.42 apply zenon_H228.
% 49.23/49.42 rewrite <- zenon_D_pnotp.
% 49.23/49.42 exact zenon_H21d.
% 49.23/49.42 cut (((e23) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H230].
% 49.23/49.42 cut (((op2 (e23) (op2 (e20) (e23))) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2a8].
% 49.23/49.42 congruence.
% 49.23/49.42 elim (classic ((op2 (e23) (e21)) = (op2 (e23) (e21)))); [ zenon_intro zenon_H232 | zenon_intro zenon_H233 ].
% 49.23/49.42 cut (((op2 (e23) (e21)) = (op2 (e23) (e21))) = ((op2 (e23) (op2 (e20) (e23))) = (op2 (e23) (e21)))).
% 49.23/49.42 intro zenon_D_pnotp.
% 49.23/49.42 apply zenon_H2a8.
% 49.23/49.42 rewrite <- zenon_D_pnotp.
% 49.23/49.42 exact zenon_H232.
% 49.23/49.42 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H233].
% 49.23/49.42 cut (((op2 (e23) (e21)) = (op2 (e23) (op2 (e20) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H2a3].
% 49.23/49.42 congruence.
% 49.23/49.42 apply (zenon_L225_); trivial.
% 49.23/49.42 apply zenon_H233. apply refl_equal.
% 49.23/49.42 apply zenon_H233. apply refl_equal.
% 49.23/49.42 apply zenon_H230. apply sym_equal. exact zenon_H229.
% 49.23/49.42 (* end of lemma zenon_L307_ *)
% 49.23/49.42 assert (zenon_L308_ : (((op2 (e20) (op2 (e21) (e20))) = (e20))/\(((op2 (e21) (op2 (e21) (e21))) = (e21))/\(((op2 (e22) (op2 (e21) (e22))) = (e22))/\((op2 (e23) (op2 (e21) (e23))) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (e21)) = (e20)) -> ((op2 (e22) (e20)) = (e21)) -> False).
% 49.23/49.42 do 0 intro. intros zenon_H227 zenon_H1ad zenon_H1da zenon_H30d.
% 49.23/49.42 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H22b. zenon_intro zenon_H22a.
% 49.23/49.42 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H22d. zenon_intro zenon_H22c.
% 49.23/49.42 cut (((op2 (e21) (op2 (e21) (e21))) = (e21)) = ((op2 (e21) (e20)) = (op2 (e22) (e20)))).
% 49.23/49.42 intro zenon_D_pnotp.
% 49.23/49.42 apply zenon_H1ad.
% 49.23/49.42 rewrite <- zenon_D_pnotp.
% 49.23/49.42 exact zenon_H22d.
% 49.23/49.42 cut (((e21) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H30e].
% 49.23/49.42 cut (((op2 (e21) (op2 (e21) (e21))) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H30f].
% 49.23/49.42 congruence.
% 49.23/49.42 elim (classic ((op2 (e21) (e20)) = (op2 (e21) (e20)))); [ zenon_intro zenon_H1d7 | zenon_intro zenon_H1d8 ].
% 49.23/49.42 cut (((op2 (e21) (e20)) = (op2 (e21) (e20))) = ((op2 (e21) (op2 (e21) (e21))) = (op2 (e21) (e20)))).
% 49.23/49.42 intro zenon_D_pnotp.
% 49.23/49.42 apply zenon_H30f.
% 49.23/49.42 rewrite <- zenon_D_pnotp.
% 49.23/49.42 exact zenon_H1d7.
% 49.23/49.42 cut (((op2 (e21) (e20)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1d8].
% 49.23/49.42 cut (((op2 (e21) (e20)) = (op2 (e21) (op2 (e21) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H310].
% 49.23/49.42 congruence.
% 49.23/49.42 cut (((e20) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H311].
% 49.23/49.42 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1cb].
% 49.23/49.42 congruence.
% 49.23/49.42 apply zenon_H1cb. apply refl_equal.
% 49.23/49.42 apply zenon_H311. apply sym_equal. exact zenon_H1da.
% 49.23/49.42 apply zenon_H1d8. apply refl_equal.
% 49.23/49.42 apply zenon_H1d8. apply refl_equal.
% 49.23/49.42 apply zenon_H30e. apply sym_equal. exact zenon_H30d.
% 49.23/49.42 (* end of lemma zenon_L308_ *)
% 49.23/49.42 assert (zenon_L309_ : ((op2 (e23) (e22)) = (e23)) -> ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e20)) = (e21)) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e23)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e22)) -> False).
% 49.23/49.42 do 0 intro. intros zenon_H229 zenon_H260 zenon_H228 zenon_H30d zenon_H1da zenon_H1ad zenon_H264 zenon_H14 zenon_H275 zenon_H19e zenon_H291 zenon_H215.
% 49.23/49.42 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H217 | zenon_intro zenon_H24e ].
% 49.23/49.42 apply (zenon_L307_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H227 | zenon_intro zenon_H24f ].
% 49.23/49.42 apply (zenon_L308_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H237 | zenon_intro zenon_H240 ].
% 49.23/49.42 apply (zenon_L246_); trivial.
% 49.23/49.42 apply (zenon_L228_); trivial.
% 49.23/49.42 (* end of lemma zenon_L309_ *)
% 49.23/49.42 assert (zenon_L310_ : ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e20)) = (e21)) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e23)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e22)) = (e23)) -> ((op2 (e23) (e23)) = (e22)) -> False).
% 49.23/49.42 do 0 intro. intros zenon_H260 zenon_H228 zenon_H30d zenon_H1da zenon_H1ad zenon_H264 zenon_H14 zenon_H275 zenon_H19e zenon_H241 zenon_H229 zenon_H242.
% 49.23/49.42 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H217 | zenon_intro zenon_H24e ].
% 49.23/49.42 apply (zenon_L307_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H227 | zenon_intro zenon_H24f ].
% 49.23/49.42 apply (zenon_L308_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H237 | zenon_intro zenon_H240 ].
% 49.23/49.42 apply (zenon_L246_); trivial.
% 49.23/49.42 apply (zenon_L190_); trivial.
% 49.23/49.42 (* end of lemma zenon_L310_ *)
% 49.23/49.42 assert (zenon_L311_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> ((op2 (e23) (e20)) = (e20)) -> (~((e21) = (e22))) -> ((op2 (e23) (e21)) = (e21)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e20)) = (e21)) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e23)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e22)) = (e23)) -> False).
% 49.23/49.42 do 0 intro. intros zenon_H250 zenon_H1f0 zenon_H20b zenon_H210 zenon_H20e zenon_H291 zenon_H260 zenon_H228 zenon_H30d zenon_H1da zenon_H1ad zenon_H264 zenon_H14 zenon_H275 zenon_H19e zenon_H241 zenon_H229.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H20c | zenon_intro zenon_H251 ].
% 49.23/49.42 apply (zenon_L181_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H20f | zenon_intro zenon_H252 ].
% 49.23/49.42 apply (zenon_L182_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H215 | zenon_intro zenon_H242 ].
% 49.23/49.42 apply (zenon_L309_); trivial.
% 49.23/49.42 apply (zenon_L310_); trivial.
% 49.23/49.42 (* end of lemma zenon_L311_ *)
% 49.23/49.42 assert (zenon_L312_ : ((op2 (e23) (e21)) = (e20)) -> ((op2 (e23) (e21)) = (e21)) -> (~((e20) = (e21))) -> False).
% 49.23/49.42 do 0 intro. intros zenon_H305 zenon_H20e zenon_H1c9.
% 49.23/49.42 elim (classic ((e21) = (e21))); [ zenon_intro zenon_H1ca | zenon_intro zenon_H1cb ].
% 49.23/49.42 cut (((e21) = (e21)) = ((e20) = (e21))).
% 49.23/49.42 intro zenon_D_pnotp.
% 49.23/49.42 apply zenon_H1c9.
% 49.23/49.42 rewrite <- zenon_D_pnotp.
% 49.23/49.42 exact zenon_H1ca.
% 49.23/49.42 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1cb].
% 49.23/49.42 cut (((e21) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H1cc].
% 49.23/49.42 congruence.
% 49.23/49.42 cut (((op2 (e23) (e21)) = (e20)) = ((e21) = (e20))).
% 49.23/49.42 intro zenon_D_pnotp.
% 49.23/49.42 apply zenon_H1cc.
% 49.23/49.42 rewrite <- zenon_D_pnotp.
% 49.23/49.42 exact zenon_H305.
% 49.23/49.42 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H1a4].
% 49.23/49.42 cut (((op2 (e23) (e21)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H312].
% 49.23/49.42 congruence.
% 49.23/49.42 exact (zenon_H312 zenon_H20e).
% 49.23/49.42 apply zenon_H1a4. apply refl_equal.
% 49.23/49.42 apply zenon_H1cb. apply refl_equal.
% 49.23/49.42 apply zenon_H1cb. apply refl_equal.
% 49.23/49.42 (* end of lemma zenon_L312_ *)
% 49.23/49.42 assert (zenon_L313_ : (~((op2 (e23) (e20)) = (op2 (e23) (op2 (e23) (e23))))) -> ((op2 (e23) (e23)) = (e20)) -> False).
% 49.23/49.42 do 0 intro. intros zenon_H313 zenon_H314.
% 49.23/49.42 cut (((e20) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H315].
% 49.23/49.42 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1a9].
% 49.23/49.42 congruence.
% 49.23/49.42 apply zenon_H1a9. apply refl_equal.
% 49.23/49.42 apply zenon_H315. apply sym_equal. exact zenon_H314.
% 49.23/49.42 (* end of lemma zenon_L313_ *)
% 49.23/49.42 assert (zenon_L314_ : (((op2 (e20) (op2 (e23) (e20))) = (e20))/\(((op2 (e21) (op2 (e23) (e21))) = (e21))/\(((op2 (e22) (op2 (e23) (e22))) = (e22))/\((op2 (e23) (op2 (e23) (e23))) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e23)) = (e20)) -> ((op2 (e23) (e22)) = (e23)) -> False).
% 49.23/49.42 do 0 intro. intros zenon_H240 zenon_H308 zenon_H314 zenon_H229.
% 49.23/49.42 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H244. zenon_intro zenon_H243.
% 49.23/49.42 apply (zenon_and_s _ _ zenon_H243). zenon_intro zenon_H246. zenon_intro zenon_H245.
% 49.23/49.42 apply (zenon_and_s _ _ zenon_H245). zenon_intro zenon_H248. zenon_intro zenon_H247.
% 49.23/49.42 cut (((op2 (e23) (op2 (e23) (e23))) = (e23)) = ((op2 (e23) (e20)) = (op2 (e23) (e22)))).
% 49.23/49.42 intro zenon_D_pnotp.
% 49.23/49.42 apply zenon_H308.
% 49.23/49.42 rewrite <- zenon_D_pnotp.
% 49.23/49.42 exact zenon_H247.
% 49.23/49.42 cut (((e23) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H230].
% 49.23/49.42 cut (((op2 (e23) (op2 (e23) (e23))) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H316].
% 49.23/49.42 congruence.
% 49.23/49.42 elim (classic ((op2 (e23) (e20)) = (op2 (e23) (e20)))); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1b6 ].
% 49.23/49.42 cut (((op2 (e23) (e20)) = (op2 (e23) (e20))) = ((op2 (e23) (op2 (e23) (e23))) = (op2 (e23) (e20)))).
% 49.23/49.42 intro zenon_D_pnotp.
% 49.23/49.42 apply zenon_H316.
% 49.23/49.42 rewrite <- zenon_D_pnotp.
% 49.23/49.42 exact zenon_H1b5.
% 49.23/49.42 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1b6].
% 49.23/49.42 cut (((op2 (e23) (e20)) = (op2 (e23) (op2 (e23) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H313].
% 49.23/49.42 congruence.
% 49.23/49.42 apply (zenon_L313_); trivial.
% 49.23/49.42 apply zenon_H1b6. apply refl_equal.
% 49.23/49.42 apply zenon_H1b6. apply refl_equal.
% 49.23/49.42 apply zenon_H230. apply sym_equal. exact zenon_H229.
% 49.23/49.42 (* end of lemma zenon_L314_ *)
% 49.23/49.42 assert (zenon_L315_ : ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e20)) = (e21)) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e23)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e23)) = (e20)) -> ((op2 (e23) (e22)) = (e23)) -> False).
% 49.23/49.42 do 0 intro. intros zenon_H260 zenon_H228 zenon_H30d zenon_H1da zenon_H1ad zenon_H264 zenon_H14 zenon_H275 zenon_H19e zenon_H308 zenon_H314 zenon_H229.
% 49.23/49.42 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H217 | zenon_intro zenon_H24e ].
% 49.23/49.42 apply (zenon_L307_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H227 | zenon_intro zenon_H24f ].
% 49.23/49.42 apply (zenon_L308_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H237 | zenon_intro zenon_H240 ].
% 49.23/49.42 apply (zenon_L246_); trivial.
% 49.23/49.42 apply (zenon_L314_); trivial.
% 49.23/49.42 (* end of lemma zenon_L315_ *)
% 49.23/49.42 assert (zenon_L316_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e22)) = (e21)) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e20)) = (e21)) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e23)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((e21) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e22) (e22)) = (e23)) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> False).
% 49.23/49.42 do 0 intro. intros zenon_H2af zenon_H1b4 zenon_H218 zenon_H213 zenon_H1de zenon_H29c zenon_H2a0 zenon_H260 zenon_H228 zenon_H30d zenon_H1da zenon_H1ad zenon_H264 zenon_H14 zenon_H308 zenon_H314 zenon_H2c0 zenon_H1d2 zenon_H2cb zenon_H19e zenon_H203 zenon_H19b zenon_H2d4.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H2b0 ].
% 49.23/49.42 apply (zenon_L160_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H256 | zenon_intro zenon_H2b1 ].
% 49.23/49.42 apply (zenon_L224_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H229 | zenon_intro zenon_H2a6 ].
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H206 | zenon_intro zenon_H2cc ].
% 49.23/49.42 apply (zenon_L198_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H2bf | zenon_intro zenon_H2cd ].
% 49.23/49.42 apply (zenon_L245_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H275 | zenon_intro zenon_H2a6 ].
% 49.23/49.42 apply (zenon_L315_); trivial.
% 49.23/49.42 apply (zenon_L256_); trivial.
% 49.23/49.42 apply (zenon_L256_); trivial.
% 49.23/49.42 (* end of lemma zenon_L316_ *)
% 49.23/49.42 assert (zenon_L317_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e21))) -> ((op2 (e23) (e21)) = (e21)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e22)) = (e21)) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e20)) = (e21)) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((e21) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e22) (e22)) = (e23)) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> False).
% 49.23/49.42 do 0 intro. intros zenon_H317 zenon_H205 zenon_H241 zenon_H210 zenon_H1f0 zenon_H250 zenon_H1c9 zenon_H20e zenon_H291 zenon_H2af zenon_H1b4 zenon_H218 zenon_H213 zenon_H1de zenon_H29c zenon_H2a0 zenon_H260 zenon_H228 zenon_H30d zenon_H1da zenon_H1ad zenon_H264 zenon_H14 zenon_H308 zenon_H2c0 zenon_H1d2 zenon_H2cb zenon_H19e zenon_H203 zenon_H19b zenon_H2d4.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H317); [ zenon_intro zenon_H20b | zenon_intro zenon_H318 ].
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H2b0 ].
% 49.23/49.42 apply (zenon_L160_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H256 | zenon_intro zenon_H2b1 ].
% 49.23/49.42 apply (zenon_L194_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H229 | zenon_intro zenon_H2a6 ].
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H206 | zenon_intro zenon_H2cc ].
% 49.23/49.42 apply (zenon_L180_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H2bf | zenon_intro zenon_H2cd ].
% 49.23/49.42 apply (zenon_L245_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H275 | zenon_intro zenon_H2a6 ].
% 49.23/49.42 apply (zenon_L311_); trivial.
% 49.23/49.42 apply (zenon_L256_); trivial.
% 49.23/49.42 apply (zenon_L256_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H305 | zenon_intro zenon_H319 ].
% 49.23/49.42 apply (zenon_L312_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H290 | zenon_intro zenon_H314 ].
% 49.23/49.42 apply (zenon_L217_); trivial.
% 49.23/49.42 apply (zenon_L316_); trivial.
% 49.23/49.42 (* end of lemma zenon_L317_ *)
% 49.23/49.42 assert (zenon_L318_ : (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> ((op2 (e21) (e22)) = (e21)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e21))) -> ((op2 (e23) (e21)) = (e21)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e20)) = (e21)) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> False).
% 49.23/49.42 do 0 intro. intros zenon_H277 zenon_H1ce zenon_H307 zenon_H2d4 zenon_H2cb zenon_H1d2 zenon_H2c0 zenon_H2a0 zenon_H29c zenon_H218 zenon_H1b4 zenon_H2af zenon_H205 zenon_H253 zenon_H297 zenon_H213 zenon_H214 zenon_H1de zenon_H298 zenon_H1fc zenon_H2ff zenon_H19b zenon_H317 zenon_H241 zenon_H210 zenon_H1f0 zenon_H250 zenon_H1c9 zenon_H20e zenon_H291 zenon_H260 zenon_H228 zenon_H30d zenon_H1da zenon_H1ad zenon_H264 zenon_H14 zenon_H19e zenon_H308.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H1ac | zenon_intro zenon_H278 ].
% 49.23/49.42 apply (zenon_L159_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H238 | zenon_intro zenon_H279 ].
% 49.23/49.42 apply (zenon_L296_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H203 | zenon_intro zenon_H275 ].
% 49.23/49.42 apply (zenon_L317_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H254 ].
% 49.23/49.42 apply (zenon_L220_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1fb | zenon_intro zenon_H255 ].
% 49.23/49.42 apply (zenon_L178_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H203 | zenon_intro zenon_H229 ].
% 49.23/49.42 apply (zenon_L284_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H317); [ zenon_intro zenon_H20b | zenon_intro zenon_H318 ].
% 49.23/49.42 apply (zenon_L311_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H305 | zenon_intro zenon_H319 ].
% 49.23/49.42 apply (zenon_L312_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H290 | zenon_intro zenon_H314 ].
% 49.23/49.42 apply (zenon_L217_); trivial.
% 49.23/49.42 apply (zenon_L315_); trivial.
% 49.23/49.42 (* end of lemma zenon_L318_ *)
% 49.23/49.42 assert (zenon_L319_ : (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((e20) = (e21))) -> ((op2 (e23) (e21)) = (e20)) -> ((op2 (e21) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e21)) -> False).
% 49.23/49.42 do 0 intro. intros zenon_H2a0 zenon_H29c zenon_H14 zenon_H19b zenon_H1c9 zenon_H305 zenon_H1de zenon_H213 zenon_H218 zenon_H260.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H29b | zenon_intro zenon_H2a1 ].
% 49.23/49.42 apply (zenon_L222_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H20e | zenon_intro zenon_H2a2 ].
% 49.23/49.42 apply (zenon_L312_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H295 | zenon_intro zenon_H26d ].
% 49.23/49.42 apply (zenon_L218_); trivial.
% 49.23/49.42 apply (zenon_L223_); trivial.
% 49.23/49.42 (* end of lemma zenon_L319_ *)
% 49.23/49.42 assert (zenon_L320_ : (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e20) (e21)) = (e23)) -> ((op2 (e22) (e22)) = (e21)) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> False).
% 49.23/49.42 do 0 intro. intros zenon_H31a zenon_H19e zenon_H1ce zenon_H2b7 zenon_H19b.
% 49.23/49.42 cut (((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) = ((op2 (e20) (e21)) = (op2 (e21) (e21)))).
% 49.23/49.42 intro zenon_D_pnotp.
% 49.23/49.42 apply zenon_H31a.
% 49.23/49.42 rewrite <- zenon_D_pnotp.
% 49.23/49.42 exact zenon_H19e.
% 49.23/49.42 cut (((op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22))) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2b6].
% 49.23/49.42 cut (((e23) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H31b].
% 49.23/49.42 congruence.
% 49.23/49.42 elim (classic ((op2 (e20) (e21)) = (op2 (e20) (e21)))); [ zenon_intro zenon_H196 | zenon_intro zenon_H197 ].
% 49.23/49.42 cut (((op2 (e20) (e21)) = (op2 (e20) (e21))) = ((e23) = (op2 (e20) (e21)))).
% 49.23/49.42 intro zenon_D_pnotp.
% 49.23/49.42 apply zenon_H31b.
% 49.23/49.42 rewrite <- zenon_D_pnotp.
% 49.23/49.42 exact zenon_H196.
% 49.23/49.42 cut (((op2 (e20) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H197].
% 49.23/49.42 cut (((op2 (e20) (e21)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1cf].
% 49.23/49.42 congruence.
% 49.23/49.42 exact (zenon_H1cf zenon_H1ce).
% 49.23/49.42 apply zenon_H197. apply refl_equal.
% 49.23/49.42 apply zenon_H197. apply refl_equal.
% 49.23/49.42 apply (zenon_L239_); trivial.
% 49.23/49.42 (* end of lemma zenon_L320_ *)
% 49.23/49.42 assert (zenon_L321_ : (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e22)) -> ((op2 (e21) (e22)) = (e22)) -> False).
% 49.23/49.42 do 0 intro. intros zenon_H1dd zenon_H25e zenon_H214.
% 49.23/49.42 cut (((op2 (e20) (e22)) = (e22)) = ((op2 (e20) (e22)) = (op2 (e21) (e22)))).
% 49.23/49.42 intro zenon_D_pnotp.
% 49.23/49.42 apply zenon_H1dd.
% 49.23/49.42 rewrite <- zenon_D_pnotp.
% 49.23/49.42 exact zenon_H25e.
% 49.23/49.42 cut (((e22) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H26a].
% 49.23/49.42 cut (((op2 (e20) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H1e0].
% 49.23/49.42 congruence.
% 49.23/49.42 apply zenon_H1e0. apply refl_equal.
% 49.23/49.42 apply zenon_H26a. apply sym_equal. exact zenon_H214.
% 49.23/49.42 (* end of lemma zenon_L321_ *)
% 49.23/49.42 assert (zenon_L322_ : (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e23) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> False).
% 49.23/49.42 do 0 intro. intros zenon_H282 zenon_H25a zenon_H295 zenon_H213 zenon_H25e zenon_H1dd zenon_H19e zenon_H14 zenon_H19b zenon_H1fc.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H25b | zenon_intro zenon_H283 ].
% 49.23/49.42 apply (zenon_L196_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H1de | zenon_intro zenon_H284 ].
% 49.23/49.42 apply (zenon_L218_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_H214 | zenon_intro zenon_H1fb ].
% 49.23/49.42 apply (zenon_L321_); trivial.
% 49.23/49.42 apply (zenon_L178_); trivial.
% 49.23/49.42 (* end of lemma zenon_L322_ *)
% 49.23/49.42 assert (zenon_L323_ : (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((e21) = (e22))) -> ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e21)) = (e20)) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e21) (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) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> False).
% 49.23/49.42 do 0 intro. intros zenon_H2cf zenon_H210 zenon_H260 zenon_H218 zenon_H305 zenon_H1c9 zenon_H29c zenon_H2a0 zenon_H1ce zenon_H31a zenon_H282 zenon_H25a zenon_H213 zenon_H25e zenon_H1dd zenon_H19e zenon_H14 zenon_H19b zenon_H1fc.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H2d2 ].
% 49.23/49.42 apply (zenon_L197_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H1de | zenon_intro zenon_H2d3 ].
% 49.23/49.42 apply (zenon_L319_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H295 ].
% 49.23/49.42 apply (zenon_L320_); trivial.
% 49.23/49.42 apply (zenon_L322_); trivial.
% 49.23/49.42 (* end of lemma zenon_L323_ *)
% 49.23/49.42 assert (zenon_L324_ : (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e22)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((e22) = (e23))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e21)) = (e21)) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e23) (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) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e21)) = (e23)) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e20)) = (e21)) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> False).
% 49.23/49.42 do 0 intro. intros zenon_H277 zenon_H307 zenon_H2d4 zenon_H2cb zenon_H1d2 zenon_H2c0 zenon_H1de zenon_H1b4 zenon_H2af zenon_H205 zenon_H253 zenon_H28b zenon_H2ff zenon_H317 zenon_H241 zenon_H20e zenon_H1f0 zenon_H250 zenon_H1fc zenon_H19b zenon_H1dd zenon_H25e zenon_H213 zenon_H25a zenon_H282 zenon_H31a zenon_H1ce zenon_H2a0 zenon_H29c zenon_H1c9 zenon_H218 zenon_H210 zenon_H2cf zenon_H291 zenon_H260 zenon_H228 zenon_H30d zenon_H1da zenon_H1ad zenon_H264 zenon_H14 zenon_H19e zenon_H308.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H1ac | zenon_intro zenon_H278 ].
% 49.23/49.42 apply (zenon_L159_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H238 | zenon_intro zenon_H279 ].
% 49.23/49.42 apply (zenon_L296_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H203 | zenon_intro zenon_H275 ].
% 49.23/49.42 apply (zenon_L317_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H254 ].
% 49.23/49.42 apply (zenon_L221_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1fb | zenon_intro zenon_H255 ].
% 49.23/49.42 apply (zenon_L178_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H203 | zenon_intro zenon_H229 ].
% 49.23/49.42 apply (zenon_L284_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H317); [ zenon_intro zenon_H20b | zenon_intro zenon_H318 ].
% 49.23/49.42 apply (zenon_L311_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H305 | zenon_intro zenon_H319 ].
% 49.23/49.42 apply (zenon_L323_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H290 | zenon_intro zenon_H314 ].
% 49.23/49.42 apply (zenon_L217_); trivial.
% 49.23/49.42 apply (zenon_L315_); trivial.
% 49.23/49.42 (* end of lemma zenon_L324_ *)
% 49.23/49.42 assert (zenon_L325_ : (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e23)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e22) (e22)) = (e22)) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> False).
% 49.23/49.42 do 0 intro. intros zenon_H253 zenon_H1dd zenon_H1fc zenon_H14 zenon_H2ff zenon_H275 zenon_H19e zenon_H27b zenon_H19b zenon_H213.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H254 ].
% 49.23/49.42 apply (zenon_L209_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1fb | zenon_intro zenon_H255 ].
% 49.23/49.42 apply (zenon_L178_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H203 | zenon_intro zenon_H229 ].
% 49.23/49.42 apply (zenon_L284_); trivial.
% 49.23/49.42 apply (zenon_L210_); trivial.
% 49.23/49.42 (* end of lemma zenon_L325_ *)
% 49.23/49.42 assert (zenon_L326_ : ((op2 (e23) (e23)) = (e23)) -> ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e23)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e22)) -> False).
% 49.23/49.42 do 0 intro. intros zenon_H2a6 zenon_H260 zenon_H2a5 zenon_H297 zenon_H1d1 zenon_H258 zenon_H264 zenon_H14 zenon_H275 zenon_H19e zenon_H291 zenon_H215.
% 49.23/49.42 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H217 | zenon_intro zenon_H24e ].
% 49.23/49.42 apply (zenon_L226_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H227 | zenon_intro zenon_H24f ].
% 49.23/49.42 apply (zenon_L227_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H237 | zenon_intro zenon_H240 ].
% 49.23/49.42 apply (zenon_L246_); trivial.
% 49.23/49.42 apply (zenon_L228_); trivial.
% 49.23/49.42 (* end of lemma zenon_L326_ *)
% 49.23/49.42 assert (zenon_L327_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e22)) = (e21)) -> (~((e21) = (e23))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e23)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e22)) -> False).
% 49.23/49.42 do 0 intro. intros zenon_H2af zenon_H1b4 zenon_H218 zenon_H213 zenon_H1de zenon_H1d2 zenon_H19b zenon_H29c zenon_H2a0 zenon_H260 zenon_H2a5 zenon_H297 zenon_H1d1 zenon_H258 zenon_H264 zenon_H14 zenon_H275 zenon_H19e zenon_H291 zenon_H215.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H2b0 ].
% 49.23/49.42 apply (zenon_L160_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H256 | zenon_intro zenon_H2b1 ].
% 49.23/49.42 apply (zenon_L224_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H229 | zenon_intro zenon_H2a6 ].
% 49.23/49.42 apply (zenon_L219_); trivial.
% 49.23/49.42 apply (zenon_L326_); trivial.
% 49.23/49.42 (* end of lemma zenon_L327_ *)
% 49.23/49.42 assert (zenon_L328_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (e21)) = (e20)) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e20) (e21)) = (e23)) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((e22) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e22) (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) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e20) (e20)) = (e22)) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e20) (e23)) = (e21)) -> False).
% 49.23/49.42 do 0 intro. intros zenon_H2d9 zenon_H291 zenon_H19e zenon_H14 zenon_H264 zenon_H1ad zenon_H1da zenon_H30d zenon_H228 zenon_H19b zenon_H2ff zenon_H1fc zenon_H2af zenon_H1b4 zenon_H218 zenon_H213 zenon_H1d2 zenon_H29c zenon_H2a0 zenon_H2a5 zenon_H297 zenon_H253 zenon_H317 zenon_H241 zenon_H210 zenon_H1f0 zenon_H250 zenon_H1c9 zenon_H308 zenon_H2c0 zenon_H2cb zenon_H2d4 zenon_H307 zenon_H1ce zenon_H277 zenon_H1dd zenon_H298 zenon_H28b zenon_H25a zenon_H282 zenon_H31a zenon_H2cf zenon_H285 zenon_H19d zenon_H1ec zenon_H2da zenon_H1e6 zenon_H2e6 zenon_H205 zenon_H260.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H2df ].
% 49.23/49.42 apply (zenon_L170_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H1db | zenon_intro zenon_H2e0 ].
% 49.23/49.42 apply (zenon_L171_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1de | zenon_intro zenon_H225 ].
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H2eb ].
% 49.23/49.42 apply (zenon_L265_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H1db | zenon_intro zenon_H2ec ].
% 49.23/49.42 apply (zenon_L171_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H20e ].
% 49.23/49.42 apply (zenon_L174_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H1ed | zenon_intro zenon_H2e1 ].
% 49.23/49.42 apply (zenon_L175_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H1ef | zenon_intro zenon_H2e2 ].
% 49.23/49.42 apply (zenon_L176_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H214 | zenon_intro zenon_H258 ].
% 49.23/49.42 apply (zenon_L318_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H25e | zenon_intro zenon_H286 ].
% 49.23/49.42 apply (zenon_L324_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H214 | zenon_intro zenon_H287 ].
% 49.23/49.42 apply (zenon_L318_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H27b | zenon_intro zenon_H215 ].
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H1ac | zenon_intro zenon_H278 ].
% 49.23/49.42 apply (zenon_L159_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H238 | zenon_intro zenon_H279 ].
% 49.23/49.42 apply (zenon_L296_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H203 | zenon_intro zenon_H275 ].
% 49.23/49.42 apply (zenon_L317_); trivial.
% 49.23/49.42 apply (zenon_L325_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H1ac | zenon_intro zenon_H278 ].
% 49.23/49.42 apply (zenon_L159_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H238 | zenon_intro zenon_H279 ].
% 49.23/49.42 apply (zenon_L296_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H203 | zenon_intro zenon_H275 ].
% 49.23/49.42 apply (zenon_L317_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H254 ].
% 49.23/49.42 apply (zenon_L327_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1fb | zenon_intro zenon_H255 ].
% 49.23/49.42 apply (zenon_L178_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H203 | zenon_intro zenon_H229 ].
% 49.23/49.42 apply (zenon_L284_); trivial.
% 49.23/49.42 apply (zenon_L309_); trivial.
% 49.23/49.42 apply (zenon_L232_); trivial.
% 49.23/49.42 (* end of lemma zenon_L328_ *)
% 49.23/49.42 assert (zenon_L329_ : ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e23)) = (e23)) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e23)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e22)) -> False).
% 49.23/49.42 do 0 intro. intros zenon_H260 zenon_H2a5 zenon_H2a6 zenon_H261 zenon_H2b4 zenon_H264 zenon_H14 zenon_H275 zenon_H19e zenon_H291 zenon_H215.
% 49.23/49.42 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H217 | zenon_intro zenon_H24e ].
% 49.23/49.42 apply (zenon_L226_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H227 | zenon_intro zenon_H24f ].
% 49.23/49.42 apply (zenon_L235_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H237 | zenon_intro zenon_H240 ].
% 49.23/49.42 apply (zenon_L246_); trivial.
% 49.23/49.42 apply (zenon_L228_); trivial.
% 49.23/49.42 (* end of lemma zenon_L329_ *)
% 49.23/49.42 assert (zenon_L330_ : (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e22)) = (e23)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (e21)) = (e20)) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e23)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e22)) -> False).
% 49.23/49.42 do 0 intro. intros zenon_H31c zenon_H308 zenon_H218 zenon_H229 zenon_H241 zenon_H1ad zenon_H1da zenon_H30d zenon_H228 zenon_H260 zenon_H2a5 zenon_H261 zenon_H2b4 zenon_H264 zenon_H14 zenon_H275 zenon_H19e zenon_H291 zenon_H215.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H31c); [ zenon_intro zenon_H314 | zenon_intro zenon_H31d ].
% 49.23/49.42 apply (zenon_L315_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H31d); [ zenon_intro zenon_H26d | zenon_intro zenon_H31e ].
% 49.23/49.42 apply (zenon_L223_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H31e); [ zenon_intro zenon_H242 | zenon_intro zenon_H2a6 ].
% 49.23/49.42 apply (zenon_L310_); trivial.
% 49.23/49.42 apply (zenon_L329_); trivial.
% 49.23/49.42 (* end of lemma zenon_L330_ *)
% 49.23/49.42 assert (zenon_L331_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e21))) -> ((op2 (e23) (e21)) = (e21)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e20)) = (e21)) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e23)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e23)) -> False).
% 49.23/49.42 do 0 intro. intros zenon_H317 zenon_H241 zenon_H31c zenon_H218 zenon_H2a5 zenon_H261 zenon_H2b4 zenon_H210 zenon_H1f0 zenon_H250 zenon_H1c9 zenon_H20e zenon_H291 zenon_H260 zenon_H228 zenon_H30d zenon_H1da zenon_H1ad zenon_H264 zenon_H14 zenon_H275 zenon_H19e zenon_H308 zenon_H229.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H317); [ zenon_intro zenon_H20b | zenon_intro zenon_H318 ].
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H20c | zenon_intro zenon_H251 ].
% 49.23/49.42 apply (zenon_L181_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H20f | zenon_intro zenon_H252 ].
% 49.23/49.42 apply (zenon_L182_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H215 | zenon_intro zenon_H242 ].
% 49.23/49.42 apply (zenon_L330_); trivial.
% 49.23/49.42 apply (zenon_L310_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H305 | zenon_intro zenon_H319 ].
% 49.23/49.42 apply (zenon_L312_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H290 | zenon_intro zenon_H314 ].
% 49.23/49.42 apply (zenon_L217_); trivial.
% 49.23/49.42 apply (zenon_L315_); trivial.
% 49.23/49.42 (* end of lemma zenon_L331_ *)
% 49.23/49.42 assert (zenon_L332_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((e21) = (e23))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e21))) -> ((op2 (e23) (e21)) = (e21)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e20)) = (e21)) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e22) (e22)) = (e23)) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> False).
% 49.23/49.42 do 0 intro. intros zenon_H2af zenon_H1b4 zenon_H1d2 zenon_H317 zenon_H241 zenon_H31c zenon_H218 zenon_H2a5 zenon_H261 zenon_H2b4 zenon_H210 zenon_H1f0 zenon_H250 zenon_H1c9 zenon_H20e zenon_H291 zenon_H260 zenon_H228 zenon_H30d zenon_H1da zenon_H1ad zenon_H264 zenon_H14 zenon_H308 zenon_H2c0 zenon_H205 zenon_H2cb zenon_H19e zenon_H203 zenon_H19b zenon_H2d4.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H2b0 ].
% 49.23/49.42 apply (zenon_L160_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H256 | zenon_intro zenon_H2b1 ].
% 49.23/49.42 apply (zenon_L194_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H229 | zenon_intro zenon_H2a6 ].
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H206 | zenon_intro zenon_H2cc ].
% 49.23/49.42 apply (zenon_L180_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H2bf | zenon_intro zenon_H2cd ].
% 49.23/49.42 apply (zenon_L245_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H275 | zenon_intro zenon_H2a6 ].
% 49.23/49.42 apply (zenon_L331_); trivial.
% 49.23/49.42 apply (zenon_L256_); trivial.
% 49.23/49.42 apply (zenon_L256_); trivial.
% 49.23/49.42 (* end of lemma zenon_L332_ *)
% 49.23/49.42 assert (zenon_L333_ : (((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)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e22)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((e22) = (e23))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e23) (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) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e21)) = (e23)) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e20)) = (e21)) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> False).
% 49.23/49.42 do 0 intro. intros zenon_H2e6 zenon_H1e6 zenon_H277 zenon_H307 zenon_H2d4 zenon_H2cb zenon_H1d2 zenon_H2c0 zenon_H1de zenon_H1b4 zenon_H2af zenon_H205 zenon_H253 zenon_H28b zenon_H2ff zenon_H317 zenon_H241 zenon_H1f0 zenon_H250 zenon_H1fc zenon_H19b zenon_H1dd zenon_H25e zenon_H213 zenon_H25a zenon_H282 zenon_H31a zenon_H1ce zenon_H2a0 zenon_H29c zenon_H1c9 zenon_H218 zenon_H210 zenon_H2cf zenon_H291 zenon_H260 zenon_H228 zenon_H30d zenon_H1da zenon_H1ad zenon_H264 zenon_H14 zenon_H19e zenon_H308.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H2eb ].
% 49.23/49.42 apply (zenon_L265_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H1db | zenon_intro zenon_H2ec ].
% 49.23/49.42 apply (zenon_L171_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H20e ].
% 49.23/49.42 apply (zenon_L174_); trivial.
% 49.23/49.42 apply (zenon_L324_); trivial.
% 49.23/49.42 (* end of lemma zenon_L333_ *)
% 49.23/49.42 assert (zenon_L334_ : (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e20)) = (e21)) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (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) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e21)) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((e22) = (e23))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> ((op2 (e23) (e21)) = (e21)) -> (~((e21) = (e23))) -> False).
% 49.23/49.42 do 0 intro. intros zenon_H2da zenon_H1ec zenon_H19d zenon_H2ce zenon_H264 zenon_H317 zenon_H205 zenon_H241 zenon_H210 zenon_H1f0 zenon_H250 zenon_H1c9 zenon_H228 zenon_H30d zenon_H1da zenon_H1ad zenon_H308 zenon_H2c0 zenon_H2cb zenon_H2d4 zenon_H277 zenon_H2e6 zenon_H307 zenon_H253 zenon_H2ff zenon_H1fc zenon_H25a zenon_H282 zenon_H31a zenon_H2cf zenon_H1f5 zenon_H291 zenon_H19e zenon_H14 zenon_H1e6 zenon_H1d1 zenon_H297 zenon_H2a5 zenon_H260 zenon_H2a0 zenon_H29c zenon_H19b zenon_H1de zenon_H213 zenon_H218 zenon_H1b4 zenon_H2af zenon_H1dd zenon_H298 zenon_H28b zenon_H285 zenon_H20e zenon_H1d2.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H1ed | zenon_intro zenon_H2e1 ].
% 49.23/49.42 apply (zenon_L175_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H1ef | zenon_intro zenon_H2e2 ].
% 49.23/49.42 apply (zenon_L176_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H214 | zenon_intro zenon_H258 ].
% 49.23/49.42 apply (zenon_L220_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d0 ].
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H25e | zenon_intro zenon_H286 ].
% 49.23/49.42 apply (zenon_L333_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H214 | zenon_intro zenon_H287 ].
% 49.23/49.42 apply (zenon_L220_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H27b | zenon_intro zenon_H215 ].
% 49.23/49.42 apply (zenon_L209_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H1ac | zenon_intro zenon_H278 ].
% 49.23/49.42 apply (zenon_L159_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H238 | zenon_intro zenon_H279 ].
% 49.23/49.42 apply (zenon_L230_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H203 | zenon_intro zenon_H275 ].
% 49.23/49.42 apply (zenon_L317_); trivial.
% 49.23/49.42 apply (zenon_L327_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H2d1 ].
% 49.23/49.42 apply (zenon_L177_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H238 | zenon_intro zenon_H256 ].
% 49.23/49.42 apply (zenon_L231_); trivial.
% 49.23/49.42 apply (zenon_L194_); trivial.
% 49.23/49.42 (* end of lemma zenon_L334_ *)
% 49.23/49.42 assert (zenon_L335_ : ((op2 (e23) (e21)) = (e20)) -> ((op2 (e23) (e21)) = (e23)) -> (~((e20) = (e23))) -> False).
% 49.23/49.42 do 0 intro. intros zenon_H305 zenon_H256 zenon_H1a7.
% 49.23/49.42 elim (classic ((e23) = (e23))); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H1a9 ].
% 49.23/49.42 cut (((e23) = (e23)) = ((e20) = (e23))).
% 49.23/49.42 intro zenon_D_pnotp.
% 49.23/49.42 apply zenon_H1a7.
% 49.23/49.42 rewrite <- zenon_D_pnotp.
% 49.23/49.42 exact zenon_H1a8.
% 49.23/49.42 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1a9].
% 49.23/49.42 cut (((e23) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H1aa].
% 49.23/49.42 congruence.
% 49.23/49.42 cut (((op2 (e23) (e21)) = (e20)) = ((e23) = (e20))).
% 49.23/49.42 intro zenon_D_pnotp.
% 49.23/49.42 apply zenon_H1aa.
% 49.23/49.42 rewrite <- zenon_D_pnotp.
% 49.23/49.42 exact zenon_H305.
% 49.23/49.42 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H1a4].
% 49.23/49.42 cut (((op2 (e23) (e21)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H257].
% 49.23/49.42 congruence.
% 49.23/49.42 exact (zenon_H257 zenon_H256).
% 49.23/49.42 apply zenon_H1a4. apply refl_equal.
% 49.23/49.42 apply zenon_H1a9. apply refl_equal.
% 49.23/49.42 apply zenon_H1a9. apply refl_equal.
% 49.23/49.42 (* end of lemma zenon_L335_ *)
% 49.23/49.42 assert (zenon_L336_ : ((op2 (e21) (e23)) = (e20)) -> ((op2 (e21) (e23)) = (e22)) -> (~((e20) = (e22))) -> False).
% 49.23/49.42 do 0 intro. intros zenon_H261 zenon_H258 zenon_H1f0.
% 49.23/49.42 elim (classic ((e22) = (e22))); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H1c2 ].
% 49.23/49.42 cut (((e22) = (e22)) = ((e20) = (e22))).
% 49.23/49.42 intro zenon_D_pnotp.
% 49.23/49.42 apply zenon_H1f0.
% 49.23/49.42 rewrite <- zenon_D_pnotp.
% 49.23/49.42 exact zenon_H1f1.
% 49.23/49.42 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1c2].
% 49.23/49.42 cut (((e22) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H1f2].
% 49.23/49.42 congruence.
% 49.23/49.42 cut (((op2 (e21) (e23)) = (e20)) = ((e22) = (e20))).
% 49.23/49.42 intro zenon_D_pnotp.
% 49.23/49.42 apply zenon_H1f2.
% 49.23/49.42 rewrite <- zenon_D_pnotp.
% 49.23/49.42 exact zenon_H261.
% 49.23/49.42 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H1a4].
% 49.23/49.42 cut (((op2 (e21) (e23)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H259].
% 49.23/49.42 congruence.
% 49.23/49.42 exact (zenon_H259 zenon_H258).
% 49.23/49.42 apply zenon_H1a4. apply refl_equal.
% 49.23/49.42 apply zenon_H1c2. apply refl_equal.
% 49.23/49.42 apply zenon_H1c2. apply refl_equal.
% 49.23/49.42 (* end of lemma zenon_L336_ *)
% 49.23/49.42 assert (zenon_L337_ : ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e23)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e23)) = (e20)) -> ((op2 (e23) (e22)) = (e23)) -> False).
% 49.23/49.42 do 0 intro. intros zenon_H260 zenon_H228 zenon_H25a zenon_H214 zenon_H264 zenon_H14 zenon_H275 zenon_H19e zenon_H308 zenon_H314 zenon_H229.
% 49.23/49.42 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H217 | zenon_intro zenon_H24e ].
% 49.23/49.42 apply (zenon_L307_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H227 | zenon_intro zenon_H24f ].
% 49.23/49.42 apply (zenon_L201_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H237 | zenon_intro zenon_H240 ].
% 49.23/49.42 apply (zenon_L246_); trivial.
% 49.23/49.42 apply (zenon_L314_); trivial.
% 49.23/49.42 (* end of lemma zenon_L337_ *)
% 49.23/49.42 assert (zenon_L338_ : (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e20)) = (e22)) -> ((op2 (e23) (e23)) = (e22)) -> False).
% 49.23/49.42 do 0 intro. intros zenon_H2b4 zenon_H20c zenon_H242.
% 49.23/49.42 cut (((op2 (e23) (e20)) = (e22)) = ((op2 (e23) (e20)) = (op2 (e23) (e23)))).
% 49.23/49.42 intro zenon_D_pnotp.
% 49.23/49.42 apply zenon_H2b4.
% 49.23/49.42 rewrite <- zenon_D_pnotp.
% 49.23/49.42 exact zenon_H20c.
% 49.23/49.42 cut (((e22) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H249].
% 49.23/49.42 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1b6].
% 49.23/49.42 congruence.
% 49.23/49.42 apply zenon_H1b6. apply refl_equal.
% 49.23/49.42 apply zenon_H249. apply sym_equal. exact zenon_H242.
% 49.23/49.42 (* end of lemma zenon_L338_ *)
% 49.23/49.42 assert (zenon_L339_ : (((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 (e22) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e23) (e23)) = (e22)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False).
% 49.23/49.42 do 0 intro. intros zenon_H31f zenon_H305 zenon_H2fa zenon_H29c zenon_H242 zenon_H2b4 zenon_H19e zenon_H14 zenon_H19b zenon_H1b4.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H31f); [ zenon_intro zenon_H20b | zenon_intro zenon_H320 ].
% 49.23/49.42 apply (zenon_L293_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H320); [ zenon_intro zenon_H29b | zenon_intro zenon_H321 ].
% 49.23/49.42 apply (zenon_L222_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H321); [ zenon_intro zenon_H20c | zenon_intro zenon_H1b3 ].
% 49.23/49.42 apply (zenon_L338_); trivial.
% 49.23/49.42 apply (zenon_L160_); trivial.
% 49.23/49.42 (* end of lemma zenon_L339_ *)
% 49.23/49.42 assert (zenon_L340_ : (((op2 (e20) (op2 (e23) (e20))) = (e20))/\(((op2 (e21) (op2 (e23) (e21))) = (e21))/\(((op2 (e22) (op2 (e23) (e22))) = (e22))/\((op2 (e23) (op2 (e23) (e23))) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e22)) = (e21)) -> ((op2 (e22) (e23)) = (e22)) -> False).
% 49.23/49.42 do 0 intro. intros zenon_H240 zenon_H322 zenon_H295 zenon_H323.
% 49.23/49.42 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H244. zenon_intro zenon_H243.
% 49.23/49.42 apply (zenon_and_s _ _ zenon_H243). zenon_intro zenon_H246. zenon_intro zenon_H245.
% 49.23/49.42 apply (zenon_and_s _ _ zenon_H245). zenon_intro zenon_H248. zenon_intro zenon_H247.
% 49.23/49.42 cut (((op2 (e22) (op2 (e23) (e22))) = (e22)) = ((op2 (e22) (e21)) = (op2 (e22) (e23)))).
% 49.23/49.42 intro zenon_D_pnotp.
% 49.23/49.42 apply zenon_H322.
% 49.23/49.42 rewrite <- zenon_D_pnotp.
% 49.23/49.42 exact zenon_H248.
% 49.23/49.42 cut (((e22) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H324].
% 49.23/49.42 cut (((op2 (e22) (op2 (e23) (e22))) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2be].
% 49.23/49.42 congruence.
% 49.23/49.42 elim (classic ((op2 (e22) (e21)) = (op2 (e22) (e21)))); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1e8 ].
% 49.23/49.42 cut (((op2 (e22) (e21)) = (op2 (e22) (e21))) = ((op2 (e22) (op2 (e23) (e22))) = (op2 (e22) (e21)))).
% 49.23/49.42 intro zenon_D_pnotp.
% 49.23/49.42 apply zenon_H2be.
% 49.23/49.42 rewrite <- zenon_D_pnotp.
% 49.23/49.42 exact zenon_H1e7.
% 49.23/49.42 cut (((op2 (e22) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H1e8].
% 49.23/49.42 cut (((op2 (e22) (e21)) = (op2 (e22) (op2 (e23) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H2bb].
% 49.23/49.42 congruence.
% 49.23/49.42 apply (zenon_L242_); trivial.
% 49.23/49.42 apply zenon_H1e8. apply refl_equal.
% 49.23/49.42 apply zenon_H1e8. apply refl_equal.
% 49.23/49.42 apply zenon_H324. apply sym_equal. exact zenon_H323.
% 49.23/49.42 (* end of lemma zenon_L340_ *)
% 49.23/49.42 assert (zenon_L341_ : ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e23)) = (e23)) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e23)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e22)) = (e21)) -> ((op2 (e22) (e23)) = (e22)) -> False).
% 49.23/49.42 do 0 intro. intros zenon_H260 zenon_H2a5 zenon_H2a6 zenon_H261 zenon_H2b4 zenon_H264 zenon_H14 zenon_H275 zenon_H19e zenon_H322 zenon_H295 zenon_H323.
% 49.23/49.42 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H217 | zenon_intro zenon_H24e ].
% 49.23/49.42 apply (zenon_L226_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H227 | zenon_intro zenon_H24f ].
% 49.23/49.42 apply (zenon_L235_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H237 | zenon_intro zenon_H240 ].
% 49.23/49.42 apply (zenon_L246_); trivial.
% 49.23/49.42 apply (zenon_L340_); trivial.
% 49.23/49.42 (* end of lemma zenon_L341_ *)
% 49.23/49.42 assert (zenon_L342_ : ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e23)) = (e23)) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e23)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e22)) = (e21)) -> ((op2 (e23) (e21)) = (e22)) -> False).
% 49.23/49.42 do 0 intro. intros zenon_H260 zenon_H2a5 zenon_H2a6 zenon_H261 zenon_H2b4 zenon_H264 zenon_H14 zenon_H275 zenon_H19e zenon_H2bc zenon_H295 zenon_H20f.
% 49.23/49.42 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H217 | zenon_intro zenon_H24e ].
% 49.23/49.42 apply (zenon_L226_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H227 | zenon_intro zenon_H24f ].
% 49.23/49.42 apply (zenon_L235_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H237 | zenon_intro zenon_H240 ].
% 49.23/49.42 apply (zenon_L246_); trivial.
% 49.23/49.42 apply (zenon_L243_); trivial.
% 49.23/49.42 (* end of lemma zenon_L342_ *)
% 49.23/49.42 assert (zenon_L343_ : (((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 (e22) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e23) (e21)) = (e22)) -> ((op2 (e23) (e22)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e22) (e23)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e23)) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False).
% 49.23/49.42 do 0 intro. intros zenon_H31f zenon_H305 zenon_H2fa zenon_H29c zenon_H20f zenon_H295 zenon_H2bc zenon_H275 zenon_H264 zenon_H2b4 zenon_H261 zenon_H2a5 zenon_H260 zenon_H218 zenon_H228 zenon_H25a zenon_H214 zenon_H308 zenon_H229 zenon_H31c zenon_H19e zenon_H14 zenon_H19b zenon_H1b4.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H31f); [ zenon_intro zenon_H20b | zenon_intro zenon_H320 ].
% 49.23/49.42 apply (zenon_L293_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H320); [ zenon_intro zenon_H29b | zenon_intro zenon_H321 ].
% 49.23/49.42 apply (zenon_L222_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H321); [ zenon_intro zenon_H20c | zenon_intro zenon_H1b3 ].
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H31c); [ zenon_intro zenon_H314 | zenon_intro zenon_H31d ].
% 49.23/49.42 apply (zenon_L337_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H31d); [ zenon_intro zenon_H26d | zenon_intro zenon_H31e ].
% 49.23/49.42 apply (zenon_L223_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H31e); [ zenon_intro zenon_H242 | zenon_intro zenon_H2a6 ].
% 49.23/49.42 apply (zenon_L338_); trivial.
% 49.23/49.42 apply (zenon_L342_); trivial.
% 49.23/49.42 apply (zenon_L160_); trivial.
% 49.23/49.42 (* end of lemma zenon_L343_ *)
% 49.23/49.42 assert (zenon_L344_ : (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e23) (e22)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e23)) = (e23)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e21)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e21)) = (e20)) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e21)) -> False).
% 49.23/49.42 do 0 intro. intros zenon_H2a0 zenon_H1c9 zenon_H1b4 zenon_H19b zenon_H14 zenon_H19e zenon_H31c zenon_H229 zenon_H308 zenon_H214 zenon_H25a zenon_H228 zenon_H2a5 zenon_H261 zenon_H2b4 zenon_H264 zenon_H275 zenon_H2bc zenon_H20f zenon_H29c zenon_H2fa zenon_H305 zenon_H31f zenon_H218 zenon_H260.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H29b | zenon_intro zenon_H2a1 ].
% 49.23/49.42 apply (zenon_L222_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H20e | zenon_intro zenon_H2a2 ].
% 49.23/49.42 apply (zenon_L312_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H295 | zenon_intro zenon_H26d ].
% 49.23/49.42 apply (zenon_L343_); trivial.
% 49.23/49.42 apply (zenon_L223_); trivial.
% 49.23/49.42 (* end of lemma zenon_L344_ *)
% 49.23/49.42 assert (zenon_L345_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e22)) = (e21)) -> (~((e20) = (e22))) -> (~((e21) = (e22))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e22) (e23)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e23)) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e21))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((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 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False).
% 49.23/49.42 do 0 intro. intros zenon_H250 zenon_H322 zenon_H295 zenon_H1f0 zenon_H210 zenon_H325 zenon_H260 zenon_H218 zenon_H2bc zenon_H275 zenon_H264 zenon_H261 zenon_H2a5 zenon_H228 zenon_H25a zenon_H308 zenon_H229 zenon_H31c zenon_H1c9 zenon_H2a0 zenon_H214 zenon_H213 zenon_H31f zenon_H305 zenon_H2fa zenon_H29c zenon_H2b4 zenon_H19e zenon_H14 zenon_H19b zenon_H1b4.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H20c | zenon_intro zenon_H251 ].
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H28a | zenon_intro zenon_H326 ].
% 49.23/49.42 apply (zenon_L260_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H258 | zenon_intro zenon_H327 ].
% 49.23/49.42 apply (zenon_L336_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H323 | zenon_intro zenon_H242 ].
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H31c); [ zenon_intro zenon_H314 | zenon_intro zenon_H31d ].
% 49.23/49.42 apply (zenon_L337_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H31d); [ zenon_intro zenon_H26d | zenon_intro zenon_H31e ].
% 49.23/49.42 apply (zenon_L223_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H31e); [ zenon_intro zenon_H242 | zenon_intro zenon_H2a6 ].
% 49.23/49.42 apply (zenon_L339_); trivial.
% 49.23/49.42 apply (zenon_L341_); trivial.
% 49.23/49.42 apply (zenon_L338_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H20f | zenon_intro zenon_H252 ].
% 49.23/49.42 apply (zenon_L344_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H215 | zenon_intro zenon_H242 ].
% 49.23/49.42 apply (zenon_L183_); trivial.
% 49.23/49.42 apply (zenon_L339_); trivial.
% 49.23/49.42 (* end of lemma zenon_L345_ *)
% 49.23/49.42 assert (zenon_L346_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((e20) = (e23))) -> ((op2 (e23) (e21)) = (e20)) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e23)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e22)) = (e21)) -> ((op2 (e22) (e23)) = (e22)) -> False).
% 49.23/49.42 do 0 intro. intros zenon_H2af zenon_H1b4 zenon_H19b zenon_H1a7 zenon_H305 zenon_H1d1 zenon_H297 zenon_H260 zenon_H2a5 zenon_H261 zenon_H2b4 zenon_H264 zenon_H14 zenon_H275 zenon_H19e zenon_H322 zenon_H295 zenon_H323.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H2b0 ].
% 49.23/49.42 apply (zenon_L160_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H256 | zenon_intro zenon_H2b1 ].
% 49.23/49.42 apply (zenon_L335_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H229 | zenon_intro zenon_H2a6 ].
% 49.23/49.42 apply (zenon_L219_); trivial.
% 49.23/49.42 apply (zenon_L341_); trivial.
% 49.23/49.42 (* end of lemma zenon_L346_ *)
% 49.23/49.42 assert (zenon_L347_ : (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e21) = (e22))) -> (~((e20) = (e22))) -> ((op2 (e23) (e22)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e21)) -> ((op2 (e23) (e21)) = (e20)) -> (~((e20) = (e23))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e23)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> False).
% 49.23/49.42 do 0 intro. intros zenon_H325 zenon_H210 zenon_H1f0 zenon_H295 zenon_H322 zenon_H2b4 zenon_H261 zenon_H2a5 zenon_H260 zenon_H305 zenon_H1a7 zenon_H19b zenon_H1b4 zenon_H2af zenon_H241 zenon_H25a zenon_H214 zenon_H264 zenon_H14 zenon_H275 zenon_H19e zenon_H1d1 zenon_H297.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H28a | zenon_intro zenon_H326 ].
% 49.23/49.42 apply (zenon_L260_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H258 | zenon_intro zenon_H327 ].
% 49.23/49.42 apply (zenon_L336_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H323 | zenon_intro zenon_H242 ].
% 49.23/49.42 apply (zenon_L346_); trivial.
% 49.23/49.42 apply (zenon_L248_); trivial.
% 49.23/49.42 (* end of lemma zenon_L347_ *)
% 49.23/49.42 assert (zenon_L348_ : (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e22)) = (e21)) -> (~((e20) = (e22))) -> (~((e21) = (e22))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e22) (e23)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e21))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((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 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False).
% 49.23/49.42 do 0 intro. intros zenon_H253 zenon_H297 zenon_H241 zenon_H2af zenon_H1a7 zenon_H1fc zenon_H2ff zenon_H250 zenon_H322 zenon_H295 zenon_H1f0 zenon_H210 zenon_H325 zenon_H260 zenon_H218 zenon_H2bc zenon_H275 zenon_H264 zenon_H261 zenon_H2a5 zenon_H228 zenon_H25a zenon_H308 zenon_H31c zenon_H1c9 zenon_H2a0 zenon_H214 zenon_H213 zenon_H31f zenon_H305 zenon_H2fa zenon_H29c zenon_H2b4 zenon_H19e zenon_H14 zenon_H19b zenon_H1b4.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H254 ].
% 49.23/49.42 apply (zenon_L347_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1fb | zenon_intro zenon_H255 ].
% 49.23/49.42 apply (zenon_L178_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H203 | zenon_intro zenon_H229 ].
% 49.23/49.42 apply (zenon_L284_); trivial.
% 49.23/49.42 apply (zenon_L345_); trivial.
% 49.23/49.42 (* end of lemma zenon_L348_ *)
% 49.23/49.42 assert (zenon_L349_ : (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e22)) = (e21)) -> (~((e20) = (e22))) -> (~((e21) = (e22))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e21))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((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 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False).
% 49.23/49.42 do 0 intro. intros zenon_H277 zenon_H1ad zenon_H1ce zenon_H307 zenon_H2d4 zenon_H2cb zenon_H205 zenon_H2c0 zenon_H253 zenon_H297 zenon_H241 zenon_H2af zenon_H1a7 zenon_H1fc zenon_H2ff zenon_H250 zenon_H322 zenon_H295 zenon_H1f0 zenon_H210 zenon_H325 zenon_H260 zenon_H218 zenon_H2bc zenon_H264 zenon_H261 zenon_H2a5 zenon_H228 zenon_H25a zenon_H308 zenon_H31c zenon_H1c9 zenon_H2a0 zenon_H214 zenon_H213 zenon_H31f zenon_H305 zenon_H2fa zenon_H29c zenon_H2b4 zenon_H19e zenon_H14 zenon_H19b zenon_H1b4.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H1ac | zenon_intro zenon_H278 ].
% 49.23/49.42 apply (zenon_L159_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H238 | zenon_intro zenon_H279 ].
% 49.23/49.42 apply (zenon_L296_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H203 | zenon_intro zenon_H275 ].
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H2b0 ].
% 49.23/49.42 apply (zenon_L160_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H256 | zenon_intro zenon_H2b1 ].
% 49.23/49.42 apply (zenon_L335_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H229 | zenon_intro zenon_H2a6 ].
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H206 | zenon_intro zenon_H2cc ].
% 49.23/49.42 apply (zenon_L180_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H2bf | zenon_intro zenon_H2cd ].
% 49.23/49.42 apply (zenon_L245_); trivial.
% 49.23/49.42 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H275 | zenon_intro zenon_H2a6 ].
% 49.23/49.42 apply (zenon_L345_); trivial.
% 49.23/49.42 apply (zenon_L256_); trivial.
% 49.23/49.42 apply (zenon_L256_); trivial.
% 49.23/49.42 apply (zenon_L348_); trivial.
% 49.23/49.42 (* end of lemma zenon_L349_ *)
% 49.23/49.42 assert (zenon_L350_ : (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e21)) = (e20)) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e21))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e21) = (e22))) -> (~((e20) = (e22))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((e20) = (e23))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e21)) -> False).
% 49.27/49.42 do 0 intro. intros zenon_H1b4 zenon_H19b zenon_H14 zenon_H19e zenon_H2b4 zenon_H29c zenon_H2fa zenon_H305 zenon_H31f zenon_H213 zenon_H214 zenon_H2a0 zenon_H1c9 zenon_H31c zenon_H308 zenon_H25a zenon_H228 zenon_H2a5 zenon_H261 zenon_H264 zenon_H2bc zenon_H325 zenon_H210 zenon_H1f0 zenon_H322 zenon_H250 zenon_H2ff zenon_H1fc zenon_H1a7 zenon_H2af zenon_H241 zenon_H297 zenon_H253 zenon_H2c0 zenon_H205 zenon_H2cb zenon_H2d4 zenon_H307 zenon_H1ce zenon_H1ad zenon_H277 zenon_H218 zenon_H260.
% 49.27/49.42 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H29b | zenon_intro zenon_H2a1 ].
% 49.27/49.42 apply (zenon_L222_); trivial.
% 49.27/49.42 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H20e | zenon_intro zenon_H2a2 ].
% 49.27/49.42 apply (zenon_L312_); trivial.
% 49.27/49.42 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H295 | zenon_intro zenon_H26d ].
% 49.27/49.42 apply (zenon_L349_); trivial.
% 49.27/49.42 apply (zenon_L223_); trivial.
% 49.27/49.42 (* end of lemma zenon_L350_ *)
% 49.27/49.42 assert (zenon_L351_ : (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e21)) = (e20)) -> (~((e20) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e22) (e22)) = (e22)) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> False).
% 49.27/49.42 do 0 intro. intros zenon_H277 zenon_H1ad zenon_H1ce zenon_H307 zenon_H2d4 zenon_H305 zenon_H1a7 zenon_H1b4 zenon_H2af zenon_H253 zenon_H1dd zenon_H1fc zenon_H14 zenon_H2ff zenon_H19e zenon_H27b zenon_H19b zenon_H213.
% 49.27/49.42 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H1ac | zenon_intro zenon_H278 ].
% 49.27/49.42 apply (zenon_L159_); trivial.
% 49.27/49.42 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H238 | zenon_intro zenon_H279 ].
% 49.27/49.42 apply (zenon_L296_); trivial.
% 49.27/49.42 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H203 | zenon_intro zenon_H275 ].
% 49.27/49.42 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H2b0 ].
% 49.27/49.42 apply (zenon_L160_); trivial.
% 49.27/49.42 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H256 | zenon_intro zenon_H2b1 ].
% 49.27/49.42 apply (zenon_L335_); trivial.
% 49.27/49.42 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H229 | zenon_intro zenon_H2a6 ].
% 49.27/49.42 apply (zenon_L210_); trivial.
% 49.27/49.42 apply (zenon_L256_); trivial.
% 49.27/49.42 apply (zenon_L325_); trivial.
% 49.27/49.42 (* end of lemma zenon_L351_ *)
% 49.27/49.42 assert (zenon_L352_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (e21)) = (e20)) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e21) (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) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> (~((op2 (e22) (e23)) = (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)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((e21) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (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) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e20) (e23)) = (e21)) -> False).
% 49.27/49.42 do 0 intro. intros zenon_H2d9 zenon_H308 zenon_H19e zenon_H14 zenon_H264 zenon_H1ad zenon_H1da zenon_H30d zenon_H228 zenon_H291 zenon_H2cf zenon_H210 zenon_H218 zenon_H1c9 zenon_H29c zenon_H2a0 zenon_H1ce zenon_H31a zenon_H282 zenon_H25a zenon_H213 zenon_H25e zenon_H1dd zenon_H19b zenon_H1fc zenon_H250 zenon_H1f0 zenon_H241 zenon_H317 zenon_H2ff zenon_H28b zenon_H253 zenon_H2af zenon_H1b4 zenon_H2c0 zenon_H1d2 zenon_H2cb zenon_H2d4 zenon_H307 zenon_H277 zenon_H1e6 zenon_H2e6 zenon_H205 zenon_H260.
% 49.27/49.42 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H2df ].
% 49.27/49.42 apply (zenon_L170_); trivial.
% 49.27/49.42 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H1db | zenon_intro zenon_H2e0 ].
% 49.27/49.42 apply (zenon_L171_); trivial.
% 49.27/49.42 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1de | zenon_intro zenon_H225 ].
% 49.27/49.42 apply (zenon_L333_); trivial.
% 49.27/49.42 apply (zenon_L232_); trivial.
% 49.27/49.42 (* end of lemma zenon_L352_ *)
% 49.27/49.42 assert (zenon_L353_ : (((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)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((e22) = (e23))) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e20)) = (e21)) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> False).
% 49.27/49.42 do 0 intro. intros zenon_H2e6 zenon_H1e6 zenon_H277 zenon_H1ce zenon_H307 zenon_H2d4 zenon_H2cb zenon_H205 zenon_H2c0 zenon_H1d2 zenon_H1b4 zenon_H2af zenon_H253 zenon_H28b zenon_H25e zenon_H1fc zenon_H2ff zenon_H19b zenon_H317 zenon_H241 zenon_H31c zenon_H218 zenon_H2a5 zenon_H261 zenon_H2b4 zenon_H210 zenon_H1f0 zenon_H250 zenon_H1c9 zenon_H291 zenon_H260 zenon_H228 zenon_H30d zenon_H1da zenon_H1ad zenon_H264 zenon_H14 zenon_H19e zenon_H308.
% 49.27/49.42 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H2eb ].
% 49.27/49.42 apply (zenon_L265_); trivial.
% 49.27/49.42 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H1db | zenon_intro zenon_H2ec ].
% 49.27/49.42 apply (zenon_L171_); trivial.
% 49.27/49.42 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H20e ].
% 49.27/49.42 apply (zenon_L174_); trivial.
% 49.27/49.42 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H1ac | zenon_intro zenon_H278 ].
% 49.27/49.42 apply (zenon_L159_); trivial.
% 49.27/49.42 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H238 | zenon_intro zenon_H279 ].
% 49.27/49.42 apply (zenon_L296_); trivial.
% 49.27/49.42 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H203 | zenon_intro zenon_H275 ].
% 49.27/49.42 apply (zenon_L332_); trivial.
% 49.27/49.42 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H254 ].
% 49.27/49.42 apply (zenon_L221_); trivial.
% 49.27/49.42 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1fb | zenon_intro zenon_H255 ].
% 49.27/49.42 apply (zenon_L178_); trivial.
% 49.27/49.42 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H203 | zenon_intro zenon_H229 ].
% 49.27/49.42 apply (zenon_L284_); trivial.
% 49.27/49.42 apply (zenon_L331_); trivial.
% 49.27/49.42 (* end of lemma zenon_L353_ *)
% 49.27/49.42 assert (zenon_L354_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((e20) = (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e23)) = (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) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (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) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((e22) = (e23))) -> ((op2 (e20) (e22)) = (e22)) -> ((op2 (e20) (e23)) = (e21)) -> (~((e21) = (e23))) -> False).
% 49.27/49.42 do 0 intro. intros zenon_H28d zenon_H1b4 zenon_H19b zenon_H14 zenon_H19e zenon_H1ad zenon_H2db zenon_H2d9 zenon_H30a zenon_H1a7 zenon_H308 zenon_H264 zenon_H30d zenon_H228 zenon_H291 zenon_H250 zenon_H1f0 zenon_H2b4 zenon_H2a5 zenon_H31c zenon_H241 zenon_H317 zenon_H2ff zenon_H253 zenon_H2af zenon_H2c0 zenon_H205 zenon_H2cb zenon_H2d4 zenon_H307 zenon_H277 zenon_H1e6 zenon_H2e6 zenon_H301 zenon_H2cf zenon_H210 zenon_H218 zenon_H1c9 zenon_H29c zenon_H2a0 zenon_H31a zenon_H282 zenon_H25a zenon_H213 zenon_H1dd zenon_H1fc zenon_H19d zenon_H1ba zenon_H28b zenon_H25e zenon_H260 zenon_H1d2.
% 49.27/49.42 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H19f | zenon_intro zenon_H28e ].
% 49.27/49.42 apply (zenon_L156_); trivial.
% 49.27/49.42 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28f ].
% 49.27/49.42 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ].
% 49.27/49.42 apply (zenon_L156_); trivial.
% 49.27/49.42 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ].
% 49.27/49.42 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2dd ].
% 49.27/49.42 apply (zenon_L158_); trivial.
% 49.27/49.42 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1da | zenon_intro zenon_H2de ].
% 49.27/49.42 apply (zenon_L352_); trivial.
% 49.27/49.42 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H25b | zenon_intro zenon_H261 ].
% 49.27/49.42 apply (zenon_L196_); trivial.
% 49.27/49.42 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H193 | zenon_intro zenon_H30b ].
% 49.27/49.42 apply (zenon_L167_); trivial.
% 49.27/49.42 apply (zenon_or_s _ _ zenon_H30b); [ zenon_intro zenon_H1da | zenon_intro zenon_H30c ].
% 49.27/49.42 apply (zenon_L353_); trivial.
% 49.27/49.42 apply (zenon_or_s _ _ zenon_H30c); [ zenon_intro zenon_H302 | zenon_intro zenon_H305 ].
% 49.27/49.42 apply (zenon_L292_); trivial.
% 49.27/49.42 apply (zenon_L323_); trivial.
% 49.27/49.42 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ].
% 49.27/49.42 apply (zenon_L159_); trivial.
% 49.27/49.42 apply (zenon_L160_); trivial.
% 49.27/49.42 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H206 ].
% 49.27/49.42 apply (zenon_L221_); trivial.
% 49.27/49.42 apply (zenon_L198_); trivial.
% 49.27/49.42 (* end of lemma zenon_L354_ *)
% 49.27/49.42 assert (zenon_L355_ : (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e23) (e22)) = (e22)) -> (~((e21) = (e23))) -> (~((e22) = (e23))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (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) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (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)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((e20) = (e23))) -> ((op2 (e23) (e21)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e23)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e22)) = (e21)) -> ((op2 (e22) (e23)) = (e22)) -> False).
% 49.27/49.42 do 0 intro. intros zenon_H328 zenon_H2ed zenon_H215 zenon_H1d2 zenon_H28b zenon_H1ba zenon_H19d zenon_H1fc zenon_H1dd zenon_H213 zenon_H25a zenon_H282 zenon_H31a zenon_H2a0 zenon_H29c zenon_H1c9 zenon_H218 zenon_H210 zenon_H2cf zenon_H301 zenon_H2e6 zenon_H1e6 zenon_H277 zenon_H307 zenon_H2d4 zenon_H2cb zenon_H205 zenon_H2c0 zenon_H253 zenon_H2ff zenon_H317 zenon_H241 zenon_H31c zenon_H1f0 zenon_H250 zenon_H291 zenon_H228 zenon_H30d zenon_H308 zenon_H30a zenon_H2d9 zenon_H2db zenon_H1ad zenon_H28d zenon_H2af zenon_H1b4 zenon_H19b zenon_H1a7 zenon_H305 zenon_H297 zenon_H260 zenon_H2a5 zenon_H261 zenon_H2b4 zenon_H264 zenon_H14 zenon_H275 zenon_H19e zenon_H322 zenon_H295 zenon_H323.
% 49.27/49.42 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H2ee | zenon_intro zenon_H329 ].
% 49.27/49.42 apply (zenon_L263_); trivial.
% 49.27/49.42 apply (zenon_or_s _ _ zenon_H329); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H32a ].
% 49.27/49.42 apply (zenon_L212_); trivial.
% 49.27/49.42 apply (zenon_or_s _ _ zenon_H32a); [ zenon_intro zenon_H25e | zenon_intro zenon_H1d1 ].
% 49.27/49.42 apply (zenon_L354_); trivial.
% 49.27/49.42 apply (zenon_L346_); trivial.
% 49.27/49.42 (* end of lemma zenon_L355_ *)
% 49.27/49.42 assert (zenon_L356_ : ((op2 (e22) (e23)) = (e22)) -> ((op2 (e23) (e22)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e21)) = (e20)) -> (~((e20) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e23)) = (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) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (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) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((e22) = (e23))) -> (~((e21) = (e23))) -> ((op2 (e23) (e22)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e22) (e22)) = (e23)) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> False).
% 49.27/49.43 do 0 intro. intros zenon_H323 zenon_H295 zenon_H322 zenon_H14 zenon_H264 zenon_H2b4 zenon_H261 zenon_H2a5 zenon_H260 zenon_H297 zenon_H305 zenon_H1a7 zenon_H1b4 zenon_H2af zenon_H28d zenon_H1ad zenon_H2db zenon_H2d9 zenon_H30a zenon_H308 zenon_H30d zenon_H228 zenon_H291 zenon_H250 zenon_H1f0 zenon_H31c zenon_H241 zenon_H317 zenon_H2ff zenon_H253 zenon_H2c0 zenon_H205 zenon_H2cb zenon_H307 zenon_H277 zenon_H1e6 zenon_H2e6 zenon_H301 zenon_H2cf zenon_H210 zenon_H218 zenon_H1c9 zenon_H29c zenon_H2a0 zenon_H31a zenon_H282 zenon_H25a zenon_H213 zenon_H1dd zenon_H1fc zenon_H19d zenon_H1ba zenon_H28b zenon_H1d2 zenon_H215 zenon_H2ed zenon_H328 zenon_H19e zenon_H203 zenon_H19b zenon_H2d4.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H206 | zenon_intro zenon_H2cc ].
% 49.27/49.43 apply (zenon_L180_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H2bf | zenon_intro zenon_H2cd ].
% 49.27/49.43 apply (zenon_L245_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H275 | zenon_intro zenon_H2a6 ].
% 49.27/49.43 apply (zenon_L355_); trivial.
% 49.27/49.43 apply (zenon_L256_); trivial.
% 49.27/49.43 (* end of lemma zenon_L356_ *)
% 49.27/49.43 assert (zenon_L357_ : (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e20) (e21)) = (e23)) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e23))) -> (~((e22) = (e23))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (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) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (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)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((e20) = (e23))) -> ((op2 (e23) (e21)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e22)) = (e21)) -> ((op2 (e22) (e23)) = (e22)) -> False).
% 49.27/49.43 do 0 intro. intros zenon_H285 zenon_H2fa zenon_H31f zenon_H2bc zenon_H325 zenon_H1ce zenon_H328 zenon_H2ed zenon_H1d2 zenon_H28b zenon_H1ba zenon_H19d zenon_H1fc zenon_H1dd zenon_H213 zenon_H25a zenon_H282 zenon_H31a zenon_H2a0 zenon_H29c zenon_H1c9 zenon_H218 zenon_H210 zenon_H2cf zenon_H301 zenon_H2e6 zenon_H1e6 zenon_H277 zenon_H307 zenon_H2d4 zenon_H2cb zenon_H205 zenon_H2c0 zenon_H253 zenon_H2ff zenon_H317 zenon_H241 zenon_H31c zenon_H1f0 zenon_H250 zenon_H291 zenon_H228 zenon_H30d zenon_H308 zenon_H30a zenon_H2d9 zenon_H2db zenon_H1ad zenon_H28d zenon_H2af zenon_H1b4 zenon_H19b zenon_H1a7 zenon_H305 zenon_H297 zenon_H260 zenon_H2a5 zenon_H261 zenon_H2b4 zenon_H264 zenon_H14 zenon_H19e zenon_H322 zenon_H295 zenon_H323.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H25e | zenon_intro zenon_H286 ].
% 49.27/49.43 apply (zenon_L322_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H214 | zenon_intro zenon_H287 ].
% 49.27/49.43 apply (zenon_L349_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H27b | zenon_intro zenon_H215 ].
% 49.27/49.43 apply (zenon_L351_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H1ac | zenon_intro zenon_H278 ].
% 49.27/49.43 apply (zenon_L159_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H238 | zenon_intro zenon_H279 ].
% 49.27/49.43 apply (zenon_L296_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H203 | zenon_intro zenon_H275 ].
% 49.27/49.43 apply (zenon_L356_); trivial.
% 49.27/49.43 apply (zenon_L355_); trivial.
% 49.27/49.43 (* end of lemma zenon_L357_ *)
% 49.27/49.43 assert (zenon_L358_ : ((op2 (e23) (e22)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((e20) = (e23))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e23)) = (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) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (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) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((e22) = (e23))) -> (~((e21) = (e23))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> ((op2 (e20) (e21)) = (e23)) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((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 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False).
% 49.27/49.43 do 0 intro. intros zenon_H295 zenon_H322 zenon_H264 zenon_H261 zenon_H2a5 zenon_H260 zenon_H297 zenon_H1a7 zenon_H2af zenon_H28d zenon_H1ad zenon_H2db zenon_H2d9 zenon_H30a zenon_H308 zenon_H30d zenon_H228 zenon_H291 zenon_H250 zenon_H1f0 zenon_H31c zenon_H241 zenon_H317 zenon_H2ff zenon_H253 zenon_H2c0 zenon_H205 zenon_H2cb zenon_H2d4 zenon_H307 zenon_H277 zenon_H1e6 zenon_H2e6 zenon_H301 zenon_H2cf zenon_H210 zenon_H218 zenon_H1c9 zenon_H2a0 zenon_H31a zenon_H282 zenon_H25a zenon_H213 zenon_H1dd zenon_H1fc zenon_H19d zenon_H1ba zenon_H28b zenon_H1d2 zenon_H2ed zenon_H328 zenon_H1ce zenon_H325 zenon_H2bc zenon_H285 zenon_H31f zenon_H305 zenon_H2fa zenon_H29c zenon_H2b4 zenon_H19e zenon_H14 zenon_H19b zenon_H1b4.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H28a | zenon_intro zenon_H326 ].
% 49.27/49.43 apply (zenon_L260_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H258 | zenon_intro zenon_H327 ].
% 49.27/49.43 apply (zenon_L336_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H323 | zenon_intro zenon_H242 ].
% 49.27/49.43 apply (zenon_L357_); trivial.
% 49.27/49.43 apply (zenon_L339_); trivial.
% 49.27/49.43 (* end of lemma zenon_L358_ *)
% 49.27/49.43 assert (zenon_L359_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e21) = (e23))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((e22) = (e23))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (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) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (e21)) = (e20)) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((e20) = (e21))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> (~((e21) = (e22))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e20) (e20)) = (e22)) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e20) (e23)) = (e21)) -> False).
% 49.27/49.43 do 0 intro. intros zenon_H2d9 zenon_H1d2 zenon_H285 zenon_H28b zenon_H298 zenon_H1dd zenon_H2af zenon_H1b4 zenon_H218 zenon_H213 zenon_H19b zenon_H29c zenon_H2a0 zenon_H2a5 zenon_H297 zenon_H1d1 zenon_H1e6 zenon_H14 zenon_H19e zenon_H291 zenon_H1f5 zenon_H2cf zenon_H31a zenon_H282 zenon_H25a zenon_H1fc zenon_H2ff zenon_H253 zenon_H307 zenon_H2e6 zenon_H277 zenon_H2d4 zenon_H2cb zenon_H2c0 zenon_H308 zenon_H1ad zenon_H1da zenon_H30d zenon_H228 zenon_H1c9 zenon_H250 zenon_H1f0 zenon_H210 zenon_H241 zenon_H317 zenon_H264 zenon_H2ce zenon_H19d zenon_H1ec zenon_H2da zenon_H205 zenon_H260.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H2df ].
% 49.27/49.43 apply (zenon_L170_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H1db | zenon_intro zenon_H2e0 ].
% 49.27/49.43 apply (zenon_L171_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1de | zenon_intro zenon_H225 ].
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H2eb ].
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H1ed | zenon_intro zenon_H2e1 ].
% 49.27/49.43 apply (zenon_L175_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H1ef | zenon_intro zenon_H2e2 ].
% 49.27/49.43 apply (zenon_L176_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H214 | zenon_intro zenon_H258 ].
% 49.27/49.43 apply (zenon_L220_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d0 ].
% 49.27/49.43 apply (zenon_L265_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H2d1 ].
% 49.27/49.43 apply (zenon_L177_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H238 | zenon_intro zenon_H256 ].
% 49.27/49.43 apply (zenon_L231_); trivial.
% 49.27/49.43 apply (zenon_L224_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H1db | zenon_intro zenon_H2ec ].
% 49.27/49.43 apply (zenon_L171_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H20e ].
% 49.27/49.43 apply (zenon_L174_); trivial.
% 49.27/49.43 apply (zenon_L334_); trivial.
% 49.27/49.43 apply (zenon_L232_); trivial.
% 49.27/49.43 (* end of lemma zenon_L359_ *)
% 49.27/49.43 assert (zenon_L360_ : (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e21) (e21)) = (e20)) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e22)) = (e21)) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((op2 (e21) (e23)) = (e20)) -> (~((e20) = (e22))) -> False).
% 49.27/49.43 do 0 intro. intros zenon_H2da zenon_H1ec zenon_H19d zenon_H1da zenon_H1d1 zenon_H297 zenon_H213 zenon_H1de zenon_H14 zenon_H291 zenon_H298 zenon_H261 zenon_H1f0.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H1ed | zenon_intro zenon_H2e1 ].
% 49.27/49.43 apply (zenon_L175_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H1ef | zenon_intro zenon_H2e2 ].
% 49.27/49.43 apply (zenon_L176_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H214 | zenon_intro zenon_H258 ].
% 49.27/49.43 apply (zenon_L220_); trivial.
% 49.27/49.43 apply (zenon_L336_); trivial.
% 49.27/49.43 (* end of lemma zenon_L360_ *)
% 49.27/49.43 assert (zenon_L361_ : ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e23)) = (e23)) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e22)) = (e21)) -> ((op2 (e22) (e23)) = (e22)) -> False).
% 49.27/49.43 do 0 intro. intros zenon_H260 zenon_H2a5 zenon_H2a6 zenon_H261 zenon_H2b4 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H322 zenon_H295 zenon_H323.
% 49.27/49.43 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H217 | zenon_intro zenon_H24e ].
% 49.27/49.43 apply (zenon_L226_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H227 | zenon_intro zenon_H24f ].
% 49.27/49.43 apply (zenon_L235_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H237 | zenon_intro zenon_H240 ].
% 49.27/49.43 apply (zenon_L189_); trivial.
% 49.27/49.43 apply (zenon_L340_); trivial.
% 49.27/49.43 (* end of lemma zenon_L361_ *)
% 49.27/49.43 assert (zenon_L362_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((e20) = (e23))) -> ((op2 (e23) (e21)) = (e20)) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e22)) = (e21)) -> ((op2 (e22) (e23)) = (e22)) -> False).
% 49.27/49.43 do 0 intro. intros zenon_H2af zenon_H1b4 zenon_H19b zenon_H1a7 zenon_H305 zenon_H1d1 zenon_H297 zenon_H260 zenon_H2a5 zenon_H261 zenon_H2b4 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H322 zenon_H295 zenon_H323.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H2b0 ].
% 49.27/49.43 apply (zenon_L160_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H256 | zenon_intro zenon_H2b1 ].
% 49.27/49.43 apply (zenon_L335_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H229 | zenon_intro zenon_H2a6 ].
% 49.27/49.43 apply (zenon_L219_); trivial.
% 49.27/49.43 apply (zenon_L361_); trivial.
% 49.27/49.43 (* end of lemma zenon_L362_ *)
% 49.27/49.43 assert (zenon_L363_ : (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e21) = (e22))) -> (~((e20) = (e22))) -> ((op2 (e23) (e22)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e22) (e21)) = (e23)) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> ((op2 (e23) (e21)) = (e20)) -> (~((e20) = (e23))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e20)) = (e22)) -> False).
% 49.27/49.43 do 0 intro. intros zenon_H325 zenon_H210 zenon_H1f0 zenon_H295 zenon_H322 zenon_H19e zenon_H238 zenon_H14 zenon_H1e6 zenon_H261 zenon_H2a5 zenon_H260 zenon_H297 zenon_H1d1 zenon_H305 zenon_H1a7 zenon_H19b zenon_H1b4 zenon_H2af zenon_H2b4 zenon_H20c.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H28a | zenon_intro zenon_H326 ].
% 49.27/49.43 apply (zenon_L260_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H258 | zenon_intro zenon_H327 ].
% 49.27/49.43 apply (zenon_L336_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H323 | zenon_intro zenon_H242 ].
% 49.27/49.43 apply (zenon_L362_); trivial.
% 49.27/49.43 apply (zenon_L338_); trivial.
% 49.27/49.43 (* end of lemma zenon_L363_ *)
% 49.27/49.43 assert (zenon_L364_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((e20) = (e23))) -> ((op2 (e23) (e21)) = (e20)) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e22)) -> False).
% 49.27/49.43 do 0 intro. intros zenon_H2af zenon_H1b4 zenon_H19b zenon_H1a7 zenon_H305 zenon_H1d1 zenon_H297 zenon_H260 zenon_H2a5 zenon_H261 zenon_H2b4 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H291 zenon_H215.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H2b0 ].
% 49.27/49.43 apply (zenon_L160_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H256 | zenon_intro zenon_H2b1 ].
% 49.27/49.43 apply (zenon_L335_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H229 | zenon_intro zenon_H2a6 ].
% 49.27/49.43 apply (zenon_L219_); trivial.
% 49.27/49.43 apply (zenon_L236_); trivial.
% 49.27/49.43 (* end of lemma zenon_L364_ *)
% 49.27/49.43 assert (zenon_L365_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((e20) = (e23))) -> ((op2 (e23) (e21)) = (e20)) -> ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e23) (e23)) = (e22)) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> False).
% 49.27/49.43 do 0 intro. intros zenon_H2af zenon_H1b4 zenon_H19b zenon_H1a7 zenon_H305 zenon_H260 zenon_H2a5 zenon_H261 zenon_H2b4 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H242 zenon_H1d1 zenon_H297.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H2b0 ].
% 49.27/49.43 apply (zenon_L160_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H256 | zenon_intro zenon_H2b1 ].
% 49.27/49.43 apply (zenon_L335_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H229 | zenon_intro zenon_H2a6 ].
% 49.27/49.43 apply (zenon_L219_); trivial.
% 49.27/49.43 apply (zenon_L250_); trivial.
% 49.27/49.43 (* end of lemma zenon_L365_ *)
% 49.27/49.43 assert (zenon_L366_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((e20) = (e22))) -> (~((e21) = (e22))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e23) (e22)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((e22) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((e20) = (e23))) -> ((op2 (e23) (e21)) = (e20)) -> ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> False).
% 49.27/49.43 do 0 intro. intros zenon_H250 zenon_H322 zenon_H1f0 zenon_H210 zenon_H325 zenon_H295 zenon_H2bc zenon_H28b zenon_H291 zenon_H2af zenon_H1b4 zenon_H19b zenon_H1a7 zenon_H305 zenon_H260 zenon_H2a5 zenon_H261 zenon_H2b4 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H1d1 zenon_H297.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H20c | zenon_intro zenon_H251 ].
% 49.27/49.43 apply (zenon_L363_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H20f | zenon_intro zenon_H252 ].
% 49.27/49.43 apply (zenon_L244_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H215 | zenon_intro zenon_H242 ].
% 49.27/49.43 apply (zenon_L364_); trivial.
% 49.27/49.43 apply (zenon_L365_); trivial.
% 49.27/49.43 (* end of lemma zenon_L366_ *)
% 49.27/49.43 assert (zenon_L367_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e20) = (op2 (e22) (e22))) -> (~((e20) = (e23))) -> ((op2 (e23) (e21)) = (e20)) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e22) (e22)) = (e23)) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> False).
% 49.27/49.43 do 0 intro. intros zenon_H2af zenon_H1b4 zenon_H14 zenon_H1a7 zenon_H305 zenon_H1d1 zenon_H297 zenon_H19e zenon_H203 zenon_H19b zenon_H2d4.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H2b0 ].
% 49.27/49.43 apply (zenon_L160_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H256 | zenon_intro zenon_H2b1 ].
% 49.27/49.43 apply (zenon_L335_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H229 | zenon_intro zenon_H2a6 ].
% 49.27/49.43 apply (zenon_L219_); trivial.
% 49.27/49.43 apply (zenon_L256_); trivial.
% 49.27/49.43 (* end of lemma zenon_L367_ *)
% 49.27/49.43 assert (zenon_L368_ : (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((e22) = (e23))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e21) = (e22))) -> (~((e20) = (e22))) -> ((op2 (e23) (e22)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e21)) -> ((op2 (e23) (e21)) = (e20)) -> (~((e20) = (e23))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> False).
% 49.27/49.43 do 0 intro. intros zenon_H277 zenon_H1ad zenon_H1e6 zenon_H291 zenon_H28b zenon_H2bc zenon_H250 zenon_H2d4 zenon_H325 zenon_H210 zenon_H1f0 zenon_H295 zenon_H322 zenon_H2b4 zenon_H261 zenon_H2a5 zenon_H260 zenon_H305 zenon_H1a7 zenon_H19b zenon_H1b4 zenon_H2af zenon_H241 zenon_H25a zenon_H214 zenon_H264 zenon_H14 zenon_H19e zenon_H1d1 zenon_H297.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H1ac | zenon_intro zenon_H278 ].
% 49.27/49.43 apply (zenon_L159_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H238 | zenon_intro zenon_H279 ].
% 49.27/49.43 apply (zenon_L366_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H203 | zenon_intro zenon_H275 ].
% 49.27/49.43 apply (zenon_L367_); trivial.
% 49.27/49.43 apply (zenon_L347_); trivial.
% 49.27/49.43 (* end of lemma zenon_L368_ *)
% 49.27/49.43 assert (zenon_L369_ : (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((e20) = (e22))) -> (~((e21) = (e22))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((e22) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((e20) = (e23))) -> ((op2 (e23) (e21)) = (e20)) -> ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> False).
% 49.27/49.43 do 0 intro. intros zenon_H2cf zenon_H1d2 zenon_H213 zenon_H214 zenon_H298 zenon_H2b9 zenon_H250 zenon_H322 zenon_H1f0 zenon_H210 zenon_H325 zenon_H2bc zenon_H28b zenon_H291 zenon_H2af zenon_H1b4 zenon_H19b zenon_H1a7 zenon_H305 zenon_H260 zenon_H2a5 zenon_H261 zenon_H2b4 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H1d1 zenon_H297.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H2d2 ].
% 49.27/49.43 apply (zenon_L169_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H1de | zenon_intro zenon_H2d3 ].
% 49.27/49.43 apply (zenon_L220_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H295 ].
% 49.27/49.43 apply (zenon_L240_); trivial.
% 49.27/49.43 apply (zenon_L366_); trivial.
% 49.27/49.43 (* end of lemma zenon_L369_ *)
% 49.27/49.43 assert (zenon_L370_ : (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e21)) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((e22) = (e23))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e21) = (e22))) -> (~((e20) = (e22))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((e21) = (e23))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> ((op2 (e23) (e21)) = (e20)) -> (~((e20) = (e23))) -> False).
% 49.27/49.43 do 0 intro. intros zenon_H2ce zenon_H264 zenon_H25a zenon_H241 zenon_H2d4 zenon_H1ad zenon_H277 zenon_H31a zenon_H2a0 zenon_H29c zenon_H1c9 zenon_H218 zenon_H1f5 zenon_H297 zenon_H1d1 zenon_H19e zenon_H14 zenon_H1e6 zenon_H2b4 zenon_H261 zenon_H2a5 zenon_H260 zenon_H19b zenon_H1b4 zenon_H2af zenon_H291 zenon_H28b zenon_H2bc zenon_H325 zenon_H210 zenon_H1f0 zenon_H322 zenon_H250 zenon_H2b9 zenon_H298 zenon_H214 zenon_H213 zenon_H1d2 zenon_H2cf zenon_H305 zenon_H1a7.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d0 ].
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H2d2 ].
% 49.27/49.43 apply (zenon_L169_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H1de | zenon_intro zenon_H2d3 ].
% 49.27/49.43 apply (zenon_L319_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H295 ].
% 49.27/49.43 apply (zenon_L320_); trivial.
% 49.27/49.43 apply (zenon_L368_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H2d1 ].
% 49.27/49.43 apply (zenon_L177_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H238 | zenon_intro zenon_H256 ].
% 49.27/49.43 apply (zenon_L369_); trivial.
% 49.27/49.43 apply (zenon_L335_); trivial.
% 49.27/49.43 (* end of lemma zenon_L370_ *)
% 49.27/49.43 assert (zenon_L371_ : (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> (~((e20) = (e23))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((e22) = (e23))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e21) = (e22))) -> (~((e20) = (e22))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((e21) = (e23))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (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) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> ((op2 (e20) (e20)) = (e22)) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False).
% 49.27/49.43 do 0 intro. intros zenon_H291 zenon_H264 zenon_H2b4 zenon_H2a5 zenon_H260 zenon_H297 zenon_H1d1 zenon_H1a7 zenon_H2af zenon_H2d4 zenon_H1e6 zenon_H277 zenon_H1dd zenon_H2ce zenon_H25a zenon_H241 zenon_H31a zenon_H2a0 zenon_H29c zenon_H1c9 zenon_H218 zenon_H1f5 zenon_H28b zenon_H2bc zenon_H325 zenon_H210 zenon_H1f0 zenon_H322 zenon_H250 zenon_H2b9 zenon_H298 zenon_H213 zenon_H1d2 zenon_H2cf zenon_H28d zenon_H2db zenon_H2d9 zenon_H30a zenon_H308 zenon_H30d zenon_H228 zenon_H31c zenon_H317 zenon_H2ff zenon_H253 zenon_H2c0 zenon_H205 zenon_H2cb zenon_H307 zenon_H2e6 zenon_H301 zenon_H282 zenon_H1fc zenon_H19d zenon_H1ba zenon_H285 zenon_H1ec zenon_H2da zenon_H194 zenon_H195 zenon_H1ad zenon_H19e zenon_H14 zenon_H19b zenon_H1b4.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ].
% 49.27/49.43 apply (zenon_L156_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ].
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2dd ].
% 49.27/49.43 apply (zenon_L158_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1da | zenon_intro zenon_H2de ].
% 49.27/49.43 apply (zenon_L359_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H25b | zenon_intro zenon_H261 ].
% 49.27/49.43 apply (zenon_L196_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H193 | zenon_intro zenon_H30b ].
% 49.27/49.43 apply (zenon_L154_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H30b); [ zenon_intro zenon_H1da | zenon_intro zenon_H30c ].
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H2df ].
% 49.27/49.43 apply (zenon_L170_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H1db | zenon_intro zenon_H2e0 ].
% 49.27/49.43 apply (zenon_L171_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1de | zenon_intro zenon_H225 ].
% 49.27/49.43 apply (zenon_L360_); trivial.
% 49.27/49.43 apply (zenon_L232_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H30c); [ zenon_intro zenon_H302 | zenon_intro zenon_H305 ].
% 49.27/49.43 apply (zenon_L292_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H25e | zenon_intro zenon_H286 ].
% 49.27/49.43 apply (zenon_L354_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H214 | zenon_intro zenon_H287 ].
% 49.27/49.43 apply (zenon_L370_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H27b | zenon_intro zenon_H215 ].
% 49.27/49.43 apply (zenon_L209_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H1ac | zenon_intro zenon_H278 ].
% 49.27/49.43 apply (zenon_L159_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H238 | zenon_intro zenon_H279 ].
% 49.27/49.43 apply (zenon_L364_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H203 | zenon_intro zenon_H275 ].
% 49.27/49.43 apply (zenon_L367_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H2b0 ].
% 49.27/49.43 apply (zenon_L160_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H256 | zenon_intro zenon_H2b1 ].
% 49.27/49.43 apply (zenon_L335_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H229 | zenon_intro zenon_H2a6 ].
% 49.27/49.43 apply (zenon_L219_); trivial.
% 49.27/49.43 apply (zenon_L329_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ].
% 49.27/49.43 apply (zenon_L159_); trivial.
% 49.27/49.43 apply (zenon_L160_); trivial.
% 49.27/49.43 (* end of lemma zenon_L371_ *)
% 49.27/49.43 assert (zenon_L372_ : (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (e20) (e20)) = (e20)) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e20) (e20)) = (e22)) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (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) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((e20) = (e22))) -> (~((e21) = (e22))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((e22) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e23)) = (e21)) -> (~((e21) = (e23))) -> False).
% 49.27/49.43 do 0 intro. intros zenon_H2ed zenon_H328 zenon_H31f zenon_H2fa zenon_H1b4 zenon_H19b zenon_H14 zenon_H19e zenon_H1ad zenon_H195 zenon_H194 zenon_H2da zenon_H1ec zenon_H285 zenon_H1ba zenon_H19d zenon_H1fc zenon_H282 zenon_H301 zenon_H2e6 zenon_H307 zenon_H2cb zenon_H205 zenon_H2c0 zenon_H253 zenon_H2ff zenon_H317 zenon_H31c zenon_H228 zenon_H30d zenon_H308 zenon_H30a zenon_H2d9 zenon_H2db zenon_H28d zenon_H2cf zenon_H213 zenon_H298 zenon_H2b9 zenon_H250 zenon_H322 zenon_H1f0 zenon_H210 zenon_H325 zenon_H2bc zenon_H28b zenon_H1f5 zenon_H218 zenon_H1c9 zenon_H29c zenon_H2a0 zenon_H31a zenon_H241 zenon_H25a zenon_H2ce zenon_H1dd zenon_H277 zenon_H1e6 zenon_H2d4 zenon_H2af zenon_H1a7 zenon_H297 zenon_H2a5 zenon_H2b4 zenon_H264 zenon_H291 zenon_H260 zenon_H1d2.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H19f | zenon_intro zenon_H28e ].
% 49.27/49.43 apply (zenon_L156_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28f ].
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ].
% 49.27/49.43 apply (zenon_L156_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ].
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2dd ].
% 49.27/49.43 apply (zenon_L158_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1da | zenon_intro zenon_H2de ].
% 49.27/49.43 apply (zenon_L328_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H25b | zenon_intro zenon_H261 ].
% 49.27/49.43 apply (zenon_L196_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H193 | zenon_intro zenon_H30b ].
% 49.27/49.43 apply (zenon_L167_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H30b); [ zenon_intro zenon_H1da | zenon_intro zenon_H30c ].
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H2df ].
% 49.27/49.43 apply (zenon_L170_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H1db | zenon_intro zenon_H2e0 ].
% 49.27/49.43 apply (zenon_L171_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1de | zenon_intro zenon_H225 ].
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H2eb ].
% 49.27/49.43 apply (zenon_L265_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H1db | zenon_intro zenon_H2ec ].
% 49.27/49.43 apply (zenon_L171_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H20e ].
% 49.27/49.43 apply (zenon_L174_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H1ac | zenon_intro zenon_H278 ].
% 49.27/49.43 apply (zenon_L159_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H238 | zenon_intro zenon_H279 ].
% 49.27/49.43 apply (zenon_L296_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H203 | zenon_intro zenon_H275 ].
% 49.27/49.43 apply (zenon_L332_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H254 ].
% 49.27/49.43 apply (zenon_L334_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1fb | zenon_intro zenon_H255 ].
% 49.27/49.43 apply (zenon_L178_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H203 | zenon_intro zenon_H229 ].
% 49.27/49.43 apply (zenon_L284_); trivial.
% 49.27/49.43 apply (zenon_L331_); trivial.
% 49.27/49.43 apply (zenon_L232_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H30c); [ zenon_intro zenon_H302 | zenon_intro zenon_H305 ].
% 49.27/49.43 apply (zenon_L292_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H2d2 ].
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H25e | zenon_intro zenon_H286 ].
% 49.27/49.43 apply (zenon_L197_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H214 | zenon_intro zenon_H287 ].
% 49.27/49.43 apply (zenon_L350_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H27b | zenon_intro zenon_H215 ].
% 49.27/49.43 apply (zenon_L351_); trivial.
% 49.27/49.43 apply (zenon_L212_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H1de | zenon_intro zenon_H2d3 ].
% 49.27/49.43 apply (zenon_L319_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H295 ].
% 49.27/49.43 apply (zenon_L320_); trivial.
% 49.27/49.43 apply (zenon_L358_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ].
% 49.27/49.43 apply (zenon_L159_); trivial.
% 49.27/49.43 apply (zenon_L160_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H206 ].
% 49.27/49.43 apply (zenon_L371_); trivial.
% 49.27/49.43 apply (zenon_L198_); trivial.
% 49.27/49.43 (* end of lemma zenon_L372_ *)
% 49.27/49.43 assert (zenon_L373_ : ((op2 (e20) (e21)) = (e22)) -> ((op2 (e20) (e21)) = (e23)) -> (~((e22) = (e23))) -> False).
% 49.27/49.43 do 0 intro. intros zenon_H288 zenon_H1ce zenon_H28b.
% 49.27/49.43 elim (classic ((e23) = (e23))); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H1a9 ].
% 49.27/49.43 cut (((e23) = (e23)) = ((e22) = (e23))).
% 49.27/49.43 intro zenon_D_pnotp.
% 49.27/49.43 apply zenon_H28b.
% 49.27/49.43 rewrite <- zenon_D_pnotp.
% 49.27/49.43 exact zenon_H1a8.
% 49.27/49.43 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1a9].
% 49.27/49.43 cut (((e23) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H28c].
% 49.27/49.43 congruence.
% 49.27/49.43 cut (((op2 (e20) (e21)) = (e22)) = ((e23) = (e22))).
% 49.27/49.43 intro zenon_D_pnotp.
% 49.27/49.43 apply zenon_H28c.
% 49.27/49.43 rewrite <- zenon_D_pnotp.
% 49.27/49.43 exact zenon_H288.
% 49.27/49.43 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1c2].
% 49.27/49.43 cut (((op2 (e20) (e21)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1cf].
% 49.27/49.43 congruence.
% 49.27/49.43 exact (zenon_H1cf zenon_H1ce).
% 49.27/49.43 apply zenon_H1c2. apply refl_equal.
% 49.27/49.43 apply zenon_H1a9. apply refl_equal.
% 49.27/49.43 apply zenon_H1a9. apply refl_equal.
% 49.27/49.43 (* end of lemma zenon_L373_ *)
% 49.27/49.43 assert (zenon_L374_ : (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> ((op2 (e20) (e21)) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e21) (e23)) = (e22)) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e21)) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((e22) = (e23))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> ((op2 (e23) (e21)) = (e21)) -> (~((e21) = (e23))) -> False).
% 49.27/49.43 do 0 intro. intros zenon_H2ce zenon_H288 zenon_H1f5 zenon_H291 zenon_H19e zenon_H14 zenon_H1e6 zenon_H258 zenon_H1d1 zenon_H297 zenon_H2a5 zenon_H260 zenon_H2a0 zenon_H29c zenon_H19b zenon_H1de zenon_H213 zenon_H218 zenon_H1b4 zenon_H2af zenon_H1dd zenon_H298 zenon_H28b zenon_H285 zenon_H20e zenon_H1d2.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d0 ].
% 49.27/49.43 apply (zenon_L373_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H2d1 ].
% 49.27/49.43 apply (zenon_L177_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H238 | zenon_intro zenon_H256 ].
% 49.27/49.43 apply (zenon_L231_); trivial.
% 49.27/49.43 apply (zenon_L194_); trivial.
% 49.27/49.43 (* end of lemma zenon_L374_ *)
% 49.27/49.43 assert (zenon_L375_ : (~((e21) = (e23))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (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) (e21)) = (op2 (e21) (e21)))) -> (~((e20) = (e21))) -> (~((e21) = (e22))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((e20) = (e23))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((e22) = (e23))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e21)) = (e22)) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e20) (e23)) = (e21)) -> False).
% 49.27/49.43 do 0 intro. intros zenon_H1d2 zenon_H1ba zenon_H19d zenon_H1fc zenon_H25a zenon_H282 zenon_H31a zenon_H1c9 zenon_H210 zenon_H2cf zenon_H301 zenon_H2e6 zenon_H277 zenon_H307 zenon_H2d4 zenon_H2cb zenon_H253 zenon_H2ff zenon_H317 zenon_H241 zenon_H31c zenon_H1f0 zenon_H250 zenon_H228 zenon_H30d zenon_H264 zenon_H308 zenon_H1a7 zenon_H30a zenon_H2d9 zenon_H2db zenon_H1ad zenon_H28d zenon_H2fc zenon_H2b4 zenon_H285 zenon_H28b zenon_H298 zenon_H1dd zenon_H2af zenon_H1b4 zenon_H218 zenon_H213 zenon_H29c zenon_H2a0 zenon_H2a5 zenon_H297 zenon_H1d1 zenon_H1e6 zenon_H291 zenon_H1f5 zenon_H288 zenon_H2ce zenon_H19e zenon_H14 zenon_H19b zenon_H2c0 zenon_H1da zenon_H205 zenon_H260.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H2df ].
% 49.27/49.43 apply (zenon_L170_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H1db | zenon_intro zenon_H2e0 ].
% 49.27/49.43 apply (zenon_L171_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1de | zenon_intro zenon_H225 ].
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H2eb ].
% 49.27/49.43 apply (zenon_L294_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H1db | zenon_intro zenon_H2ec ].
% 49.27/49.43 apply (zenon_L171_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H20e ].
% 49.27/49.43 apply (zenon_L174_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d0 ].
% 49.27/49.43 apply (zenon_L373_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H2d1 ].
% 49.27/49.43 apply (zenon_L177_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H238 | zenon_intro zenon_H256 ].
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H25e | zenon_intro zenon_H286 ].
% 49.27/49.43 apply (zenon_L354_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H214 | zenon_intro zenon_H287 ].
% 49.27/49.43 apply (zenon_L220_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H27b | zenon_intro zenon_H215 ].
% 49.27/49.43 apply (zenon_L209_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H2b0 ].
% 49.27/49.43 apply (zenon_L160_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H256 | zenon_intro zenon_H2b1 ].
% 49.27/49.43 apply (zenon_L224_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H229 | zenon_intro zenon_H2a6 ].
% 49.27/49.43 apply (zenon_L219_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H2fc); [ zenon_intro zenon_H261 | zenon_intro zenon_H2fd ].
% 49.27/49.43 apply (zenon_L236_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H2fd); [ zenon_intro zenon_H225 | zenon_intro zenon_H2fe ].
% 49.27/49.43 apply (zenon_L232_); trivial.
% 49.27/49.43 apply (zenon_or_s _ _ zenon_H2fe); [ zenon_intro zenon_H258 | zenon_intro zenon_H2bf ].
% 49.27/49.43 apply (zenon_L374_); trivial.
% 49.27/49.43 apply (zenon_L245_); trivial.
% 49.27/49.43 apply (zenon_L194_); trivial.
% 49.27/49.43 apply (zenon_L232_); trivial.
% 49.27/49.43 (* end of lemma zenon_L375_ *)
% 49.27/49.43 assert (zenon_L376_ : (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((e22) = (e23))) -> ((op2 (e20) (e21)) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e23) (e20)) = (e22)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((e20) = (e22))) -> (~((e21) = (e22))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((e21) = (e23))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> ((op2 (e23) (e21)) = (e20)) -> (~((e20) = (e23))) -> False).
% 49.27/49.44 do 0 intro. intros zenon_H2ce zenon_H28b zenon_H288 zenon_H1f5 zenon_H20c zenon_H2b4 zenon_H2af zenon_H1b4 zenon_H19b zenon_H1d1 zenon_H297 zenon_H260 zenon_H2a5 zenon_H261 zenon_H1e6 zenon_H14 zenon_H19e zenon_H322 zenon_H1f0 zenon_H210 zenon_H325 zenon_H2b9 zenon_H298 zenon_H291 zenon_H214 zenon_H213 zenon_H1d2 zenon_H2cf zenon_H305 zenon_H1a7.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d0 ].
% 49.27/49.44 apply (zenon_L373_); trivial.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H2d1 ].
% 49.27/49.44 apply (zenon_L177_); trivial.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H238 | zenon_intro zenon_H256 ].
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H2d2 ].
% 49.27/49.44 apply (zenon_L169_); trivial.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H1de | zenon_intro zenon_H2d3 ].
% 49.27/49.44 apply (zenon_L220_); trivial.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H295 ].
% 49.27/49.44 apply (zenon_L240_); trivial.
% 49.27/49.44 apply (zenon_L363_); trivial.
% 49.27/49.44 apply (zenon_L335_); trivial.
% 49.27/49.44 (* end of lemma zenon_L376_ *)
% 49.27/49.44 assert (zenon_L377_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e21) = (e22))) -> (~((e20) = (e22))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e21)) = (e22)) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> ((op2 (e23) (e22)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((e22) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((e20) = (e23))) -> ((op2 (e23) (e21)) = (e20)) -> ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> False).
% 49.27/49.44 do 0 intro. intros zenon_H250 zenon_H2cf zenon_H1d2 zenon_H213 zenon_H214 zenon_H298 zenon_H2b9 zenon_H325 zenon_H210 zenon_H1f0 zenon_H322 zenon_H1f5 zenon_H288 zenon_H2ce zenon_H295 zenon_H2bc zenon_H28b zenon_H291 zenon_H2af zenon_H1b4 zenon_H19b zenon_H1a7 zenon_H305 zenon_H260 zenon_H2a5 zenon_H261 zenon_H2b4 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H1d1 zenon_H297.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H20c | zenon_intro zenon_H251 ].
% 49.27/49.44 apply (zenon_L376_); trivial.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H20f | zenon_intro zenon_H252 ].
% 49.27/49.44 apply (zenon_L244_); trivial.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H215 | zenon_intro zenon_H242 ].
% 49.27/49.44 apply (zenon_L364_); trivial.
% 49.27/49.44 apply (zenon_L365_); trivial.
% 49.27/49.44 (* end of lemma zenon_L377_ *)
% 49.27/49.44 assert (zenon_L378_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e21) = (e22))) -> (~((e20) = (e22))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e21)) = (e22)) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((e22) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((e20) = (e23))) -> ((op2 (e23) (e21)) = (e20)) -> ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> False).
% 49.27/49.44 do 0 intro. intros zenon_H250 zenon_H2cf zenon_H1d2 zenon_H213 zenon_H214 zenon_H298 zenon_H2b9 zenon_H325 zenon_H210 zenon_H1f0 zenon_H322 zenon_H1f5 zenon_H288 zenon_H2ce zenon_H2bc zenon_H28b zenon_H291 zenon_H2af zenon_H1b4 zenon_H19b zenon_H1a7 zenon_H305 zenon_H260 zenon_H2a5 zenon_H261 zenon_H2b4 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H1d1 zenon_H297.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H2d2 ].
% 49.27/49.44 apply (zenon_L169_); trivial.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H1de | zenon_intro zenon_H2d3 ].
% 49.27/49.44 apply (zenon_L220_); trivial.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H295 ].
% 49.27/49.44 apply (zenon_L240_); trivial.
% 49.27/49.44 apply (zenon_L377_); trivial.
% 49.27/49.44 (* end of lemma zenon_L378_ *)
% 49.27/49.44 assert (zenon_L379_ : (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((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)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((e21) = (e23))) -> (~((e22) = (e23))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (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) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (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)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((e20) = (e23))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (e20) (e23)) = (e21)) -> (~((e21) = (e22))) -> False).
% 49.27/49.44 do 0 intro. intros zenon_H2d8 zenon_H2da zenon_H194 zenon_H195 zenon_H2fa zenon_H31f zenon_H328 zenon_H2ed zenon_H285 zenon_H2bc zenon_H2ce zenon_H1f5 zenon_H322 zenon_H325 zenon_H2b9 zenon_H298 zenon_H297 zenon_H2fc zenon_H1d2 zenon_H28b zenon_H1ba zenon_H19d zenon_H1fc zenon_H1dd zenon_H213 zenon_H25a zenon_H282 zenon_H31a zenon_H2a0 zenon_H29c zenon_H1c9 zenon_H218 zenon_H2cf zenon_H301 zenon_H2e6 zenon_H1e6 zenon_H277 zenon_H307 zenon_H2d4 zenon_H2cb zenon_H205 zenon_H2c0 zenon_H2af zenon_H253 zenon_H2ff zenon_H317 zenon_H241 zenon_H31c zenon_H2a5 zenon_H2b4 zenon_H1f0 zenon_H250 zenon_H291 zenon_H228 zenon_H30d zenon_H264 zenon_H308 zenon_H1a7 zenon_H30a zenon_H2d9 zenon_H2db zenon_H1ad zenon_H19e zenon_H14 zenon_H19b zenon_H1b4 zenon_H28d zenon_H260 zenon_H210.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H1ec | zenon_intro zenon_H2dc ].
% 49.27/49.44 apply (zenon_L372_); trivial.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H288 | zenon_intro zenon_H2e3 ].
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H19f | zenon_intro zenon_H28e ].
% 49.27/49.44 apply (zenon_L156_); trivial.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28f ].
% 49.27/49.44 apply (zenon_L373_); trivial.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H206 ].
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ].
% 49.27/49.44 apply (zenon_L156_); trivial.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ].
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2dd ].
% 49.27/49.44 apply (zenon_L158_); trivial.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1da | zenon_intro zenon_H2de ].
% 49.27/49.44 apply (zenon_L375_); trivial.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H25b | zenon_intro zenon_H261 ].
% 49.27/49.44 apply (zenon_L196_); trivial.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H193 | zenon_intro zenon_H30b ].
% 49.27/49.44 apply (zenon_L214_); trivial.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H30b); [ zenon_intro zenon_H1da | zenon_intro zenon_H30c ].
% 49.27/49.44 apply (zenon_L375_); trivial.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H30c); [ zenon_intro zenon_H302 | zenon_intro zenon_H305 ].
% 49.27/49.44 apply (zenon_L292_); trivial.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d0 ].
% 49.27/49.44 apply (zenon_L373_); trivial.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H2d1 ].
% 49.27/49.44 apply (zenon_L177_); trivial.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H238 | zenon_intro zenon_H256 ].
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H2d2 ].
% 49.27/49.44 apply (zenon_L169_); trivial.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H1de | zenon_intro zenon_H2d3 ].
% 49.27/49.44 apply (zenon_L319_); trivial.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H295 ].
% 49.27/49.44 apply (zenon_L240_); trivial.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H25e | zenon_intro zenon_H286 ].
% 49.27/49.44 apply (zenon_L322_); trivial.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H214 | zenon_intro zenon_H287 ].
% 49.27/49.44 apply (zenon_L378_); trivial.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H27b | zenon_intro zenon_H215 ].
% 49.27/49.44 apply (zenon_L209_); trivial.
% 49.27/49.44 apply (zenon_L364_); trivial.
% 49.27/49.44 apply (zenon_L335_); trivial.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ].
% 49.27/49.44 apply (zenon_L159_); trivial.
% 49.27/49.44 apply (zenon_L160_); trivial.
% 49.27/49.44 apply (zenon_L198_); trivial.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H25e | zenon_intro zenon_H28a ].
% 49.27/49.44 apply (zenon_L354_); trivial.
% 49.27/49.44 apply (zenon_L260_); trivial.
% 49.27/49.44 (* end of lemma zenon_L379_ *)
% 49.27/49.44 assert (zenon_L380_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e21) = (e22))) -> ((op2 (e20) (e23)) = (e21)) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((e20) = (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e23)) = (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) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (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) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((e22) = (e23))) -> (~((e21) = (e23))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (e20) (e20)) = (e20)) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> False).
% 49.27/49.44 do 0 intro. intros zenon_H32b zenon_H1c4 zenon_H210 zenon_H260 zenon_H28d zenon_H1b4 zenon_H19e zenon_H1ad zenon_H2db zenon_H2d9 zenon_H30a zenon_H1a7 zenon_H308 zenon_H264 zenon_H228 zenon_H291 zenon_H250 zenon_H1f0 zenon_H2b4 zenon_H2a5 zenon_H31c zenon_H241 zenon_H317 zenon_H2ff zenon_H253 zenon_H2af zenon_H2c0 zenon_H205 zenon_H2cb zenon_H2d4 zenon_H307 zenon_H277 zenon_H1e6 zenon_H2e6 zenon_H301 zenon_H2cf zenon_H218 zenon_H1c9 zenon_H2a0 zenon_H31a zenon_H282 zenon_H25a zenon_H213 zenon_H1dd zenon_H1fc zenon_H19d zenon_H1ba zenon_H28b zenon_H1d2 zenon_H2fc zenon_H297 zenon_H298 zenon_H2b9 zenon_H325 zenon_H322 zenon_H1f5 zenon_H2ce zenon_H2bc zenon_H285 zenon_H2ed zenon_H328 zenon_H31f zenon_H2fa zenon_H195 zenon_H194 zenon_H2da zenon_H2d8 zenon_H19b zenon_H14 zenon_H29c.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H32c ].
% 49.27/49.44 apply (zenon_L165_); trivial.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H32d ].
% 49.27/49.44 apply (zenon_L170_); trivial.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H30d | zenon_intro zenon_H29b ].
% 49.27/49.44 apply (zenon_L379_); trivial.
% 49.27/49.44 apply (zenon_L222_); trivial.
% 49.27/49.44 (* end of lemma zenon_L380_ *)
% 49.27/49.44 assert (zenon_L381_ : ((e20) = (op2 (e22) (e22))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e22) (e22)) = (op2 (e20) (e20)))) -> False).
% 49.27/49.44 do 0 intro. intros zenon_H14 zenon_H194 zenon_H32e.
% 49.27/49.44 elim (classic ((op2 (e20) (e20)) = (op2 (e20) (e20)))); [ zenon_intro zenon_H1a1 | zenon_intro zenon_H1a2 ].
% 49.27/49.44 cut (((op2 (e20) (e20)) = (op2 (e20) (e20))) = ((op2 (e22) (e22)) = (op2 (e20) (e20)))).
% 49.27/49.44 intro zenon_D_pnotp.
% 49.27/49.44 apply zenon_H32e.
% 49.27/49.44 rewrite <- zenon_D_pnotp.
% 49.27/49.44 exact zenon_H1a1.
% 49.27/49.44 cut (((op2 (e20) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1a2].
% 49.27/49.44 cut (((op2 (e20) (e20)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H32f].
% 49.27/49.44 congruence.
% 49.27/49.44 cut (((e20) = (op2 (e22) (e22))) = ((op2 (e20) (e20)) = (op2 (e22) (e22)))).
% 49.27/49.44 intro zenon_D_pnotp.
% 49.27/49.44 apply zenon_H32f.
% 49.27/49.44 rewrite <- zenon_D_pnotp.
% 49.27/49.44 exact zenon_H14.
% 49.27/49.44 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H1bf].
% 49.27/49.44 cut (((e20) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H199].
% 49.27/49.44 congruence.
% 49.27/49.44 elim (classic ((op2 (e20) (e20)) = (op2 (e20) (e20)))); [ zenon_intro zenon_H1a1 | zenon_intro zenon_H1a2 ].
% 49.27/49.44 cut (((op2 (e20) (e20)) = (op2 (e20) (e20))) = ((e20) = (op2 (e20) (e20)))).
% 49.27/49.44 intro zenon_D_pnotp.
% 49.27/49.44 apply zenon_H199.
% 49.27/49.44 rewrite <- zenon_D_pnotp.
% 49.27/49.44 exact zenon_H1a1.
% 49.27/49.44 cut (((op2 (e20) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1a2].
% 49.27/49.44 cut (((op2 (e20) (e20)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H330].
% 49.27/49.44 congruence.
% 49.27/49.44 exact (zenon_H330 zenon_H194).
% 49.27/49.44 apply zenon_H1a2. apply refl_equal.
% 49.27/49.44 apply zenon_H1a2. apply refl_equal.
% 49.27/49.44 apply zenon_H1bf. apply refl_equal.
% 49.27/49.44 apply zenon_H1a2. apply refl_equal.
% 49.27/49.44 apply zenon_H1a2. apply refl_equal.
% 49.27/49.44 (* end of lemma zenon_L381_ *)
% 49.27/49.44 assert (zenon_L382_ : ((op2 (e23) (e20)) = (e20)) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> False).
% 49.27/49.44 do 0 intro. intros zenon_H20b zenon_H14 zenon_H194 zenon_H331.
% 49.27/49.44 elim (classic ((op2 (e23) (e20)) = (op2 (e23) (e20)))); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1b6 ].
% 49.27/49.44 cut (((op2 (e23) (e20)) = (op2 (e23) (e20))) = ((op2 (e20) (e20)) = (op2 (e23) (e20)))).
% 49.27/49.44 intro zenon_D_pnotp.
% 49.27/49.44 apply zenon_H331.
% 49.27/49.44 rewrite <- zenon_D_pnotp.
% 49.27/49.44 exact zenon_H1b5.
% 49.27/49.44 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1b6].
% 49.27/49.44 cut (((op2 (e23) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H332].
% 49.27/49.44 congruence.
% 49.27/49.44 cut (((e20) = (op2 (e22) (e22))) = ((op2 (e23) (e20)) = (op2 (e20) (e20)))).
% 49.27/49.44 intro zenon_D_pnotp.
% 49.27/49.44 apply zenon_H332.
% 49.27/49.44 rewrite <- zenon_D_pnotp.
% 49.27/49.44 exact zenon_H14.
% 49.27/49.44 cut (((op2 (e22) (e22)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H32e].
% 49.27/49.44 cut (((e20) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H333].
% 49.27/49.44 congruence.
% 49.27/49.44 elim (classic ((op2 (e23) (e20)) = (op2 (e23) (e20)))); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1b6 ].
% 49.27/49.44 cut (((op2 (e23) (e20)) = (op2 (e23) (e20))) = ((e20) = (op2 (e23) (e20)))).
% 49.27/49.44 intro zenon_D_pnotp.
% 49.27/49.44 apply zenon_H333.
% 49.27/49.44 rewrite <- zenon_D_pnotp.
% 49.27/49.44 exact zenon_H1b5.
% 49.27/49.44 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1b6].
% 49.27/49.44 cut (((op2 (e23) (e20)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H334].
% 49.27/49.44 congruence.
% 49.27/49.44 exact (zenon_H334 zenon_H20b).
% 49.27/49.44 apply zenon_H1b6. apply refl_equal.
% 49.27/49.44 apply zenon_H1b6. apply refl_equal.
% 49.27/49.44 apply (zenon_L381_); trivial.
% 49.27/49.44 apply zenon_H1b6. apply refl_equal.
% 49.27/49.44 apply zenon_H1b6. apply refl_equal.
% 49.27/49.44 (* end of lemma zenon_L382_ *)
% 49.27/49.44 assert (zenon_L383_ : ((op2 (e23) (e20)) = (e22)) -> ((op2 (e21) (e20)) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False).
% 49.27/49.44 do 0 intro. intros zenon_H20c zenon_H1ed zenon_H1b4.
% 49.27/49.44 elim (classic ((op2 (e23) (e20)) = (op2 (e23) (e20)))); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1b6 ].
% 49.27/49.44 cut (((op2 (e23) (e20)) = (op2 (e23) (e20))) = ((op2 (e21) (e20)) = (op2 (e23) (e20)))).
% 49.27/49.44 intro zenon_D_pnotp.
% 49.27/49.44 apply zenon_H1b4.
% 49.27/49.44 rewrite <- zenon_D_pnotp.
% 49.27/49.44 exact zenon_H1b5.
% 49.27/49.44 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1b6].
% 49.27/49.44 cut (((op2 (e23) (e20)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1b7].
% 49.27/49.44 congruence.
% 49.27/49.44 cut (((op2 (e23) (e20)) = (e22)) = ((op2 (e23) (e20)) = (op2 (e21) (e20)))).
% 49.27/49.44 intro zenon_D_pnotp.
% 49.27/49.44 apply zenon_H1b7.
% 49.27/49.44 rewrite <- zenon_D_pnotp.
% 49.27/49.44 exact zenon_H20c.
% 49.27/49.44 cut (((e22) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1ee].
% 49.27/49.44 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1b6].
% 49.27/49.44 congruence.
% 49.27/49.44 apply zenon_H1b6. apply refl_equal.
% 49.27/49.44 apply zenon_H1ee. apply sym_equal. exact zenon_H1ed.
% 49.27/49.44 apply zenon_H1b6. apply refl_equal.
% 49.27/49.44 apply zenon_H1b6. apply refl_equal.
% 49.27/49.44 (* end of lemma zenon_L383_ *)
% 49.27/49.44 assert (zenon_L384_ : (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e23) (e20)) = (e22)) -> (~((e20) = (e22))) -> ((op2 (e21) (e21)) = (e20)) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e21) (e23)) = (e21)) -> (~((e21) = (e22))) -> False).
% 49.27/49.44 do 0 intro. intros zenon_H2da zenon_H1b4 zenon_H20c zenon_H1f0 zenon_H1da zenon_H25e zenon_H1dd zenon_H225 zenon_H210.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H1ed | zenon_intro zenon_H2e1 ].
% 49.27/49.44 apply (zenon_L383_); trivial.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H1ef | zenon_intro zenon_H2e2 ].
% 49.27/49.44 apply (zenon_L176_); trivial.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H214 | zenon_intro zenon_H258 ].
% 49.27/49.44 apply (zenon_L321_); trivial.
% 49.27/49.44 apply (zenon_L195_); trivial.
% 49.27/49.44 (* end of lemma zenon_L384_ *)
% 49.27/49.44 assert (zenon_L385_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((e21) = (e22))) -> ((op2 (e21) (e23)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e22)) -> ((op2 (e21) (e21)) = (e20)) -> (~((e20) = (e22))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False).
% 49.27/49.44 do 0 intro. intros zenon_H31f zenon_H331 zenon_H194 zenon_H29c zenon_H210 zenon_H225 zenon_H1dd zenon_H25e zenon_H1da zenon_H1f0 zenon_H2da zenon_H19e zenon_H14 zenon_H19b zenon_H1b4.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H31f); [ zenon_intro zenon_H20b | zenon_intro zenon_H320 ].
% 49.27/49.44 apply (zenon_L382_); trivial.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H320); [ zenon_intro zenon_H29b | zenon_intro zenon_H321 ].
% 49.27/49.44 apply (zenon_L222_); trivial.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H321); [ zenon_intro zenon_H20c | zenon_intro zenon_H1b3 ].
% 49.27/49.44 apply (zenon_L384_); trivial.
% 49.27/49.44 apply (zenon_L160_); trivial.
% 49.27/49.44 (* end of lemma zenon_L385_ *)
% 49.27/49.44 assert (zenon_L386_ : ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e23)) = (e20)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> False).
% 49.27/49.44 do 0 intro. intros zenon_H14 zenon_H335 zenon_H336.
% 49.27/49.44 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H24b | zenon_intro zenon_H24c ].
% 49.27/49.44 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((op2 (e22) (e22)) = (op2 (e22) (e23)))).
% 49.27/49.44 intro zenon_D_pnotp.
% 49.27/49.44 apply zenon_H336.
% 49.27/49.44 rewrite <- zenon_D_pnotp.
% 49.27/49.44 exact zenon_H24b.
% 49.27/49.44 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H24c].
% 49.27/49.44 cut (((op2 (e22) (e23)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H337].
% 49.27/49.44 congruence.
% 49.27/49.44 cut (((e20) = (op2 (e22) (e22))) = ((op2 (e22) (e23)) = (op2 (e22) (e22)))).
% 49.27/49.44 intro zenon_D_pnotp.
% 49.27/49.44 apply zenon_H337.
% 49.27/49.44 rewrite <- zenon_D_pnotp.
% 49.27/49.44 exact zenon_H14.
% 49.27/49.44 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H1bf].
% 49.27/49.44 cut (((e20) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H338].
% 49.27/49.44 congruence.
% 49.27/49.44 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H24b | zenon_intro zenon_H24c ].
% 49.27/49.44 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((e20) = (op2 (e22) (e23)))).
% 49.27/49.44 intro zenon_D_pnotp.
% 49.27/49.44 apply zenon_H338.
% 49.27/49.44 rewrite <- zenon_D_pnotp.
% 49.27/49.44 exact zenon_H24b.
% 49.27/49.44 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H24c].
% 49.27/49.44 cut (((op2 (e22) (e23)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H339].
% 49.27/49.44 congruence.
% 49.27/49.44 exact (zenon_H339 zenon_H335).
% 49.27/49.44 apply zenon_H24c. apply refl_equal.
% 49.27/49.44 apply zenon_H24c. apply refl_equal.
% 49.27/49.44 apply zenon_H1bf. apply refl_equal.
% 49.27/49.44 apply zenon_H24c. apply refl_equal.
% 49.27/49.44 apply zenon_H24c. apply refl_equal.
% 49.27/49.44 (* end of lemma zenon_L386_ *)
% 49.27/49.44 assert (zenon_L387_ : (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e23)) = (e22)) -> ((op2 (e22) (e23)) = (e22)) -> False).
% 49.27/49.44 do 0 intro. intros zenon_H2ff zenon_H258 zenon_H323.
% 49.27/49.44 cut (((op2 (e21) (e23)) = (e22)) = ((op2 (e21) (e23)) = (op2 (e22) (e23)))).
% 49.27/49.44 intro zenon_D_pnotp.
% 49.27/49.44 apply zenon_H2ff.
% 49.27/49.44 rewrite <- zenon_D_pnotp.
% 49.27/49.44 exact zenon_H258.
% 49.27/49.44 cut (((e22) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H324].
% 49.27/49.44 cut (((op2 (e21) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H2c2].
% 49.27/49.44 congruence.
% 49.27/49.44 apply zenon_H2c2. apply refl_equal.
% 49.27/49.44 apply zenon_H324. apply sym_equal. exact zenon_H323.
% 49.27/49.44 (* end of lemma zenon_L387_ *)
% 49.27/49.44 assert (zenon_L388_ : (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> False).
% 49.27/49.44 do 0 intro. intros zenon_H33a zenon_H336 zenon_H264 zenon_H14 zenon_H19b zenon_H258 zenon_H2ff zenon_H274 zenon_H206.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H335 | zenon_intro zenon_H33b ].
% 49.27/49.44 apply (zenon_L386_); trivial.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H33b); [ zenon_intro zenon_H263 | zenon_intro zenon_H33c ].
% 49.27/49.44 apply (zenon_L200_); trivial.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H33c); [ zenon_intro zenon_H323 | zenon_intro zenon_H275 ].
% 49.27/49.44 apply (zenon_L387_); trivial.
% 49.27/49.44 apply (zenon_L206_); trivial.
% 49.27/49.44 (* end of lemma zenon_L388_ *)
% 49.27/49.44 assert (zenon_L389_ : (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e23)) = (e21)) -> ((op2 (e23) (e22)) = (e23)) -> False).
% 49.27/49.44 do 0 intro. intros zenon_H218 zenon_H206 zenon_H261 zenon_H308 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H228 zenon_H26d zenon_H229.
% 49.27/49.44 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H217 | zenon_intro zenon_H24e ].
% 49.27/49.44 apply (zenon_L185_); trivial.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H227 | zenon_intro zenon_H24f ].
% 49.27/49.44 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H22b. zenon_intro zenon_H22a.
% 49.27/49.44 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H22d. zenon_intro zenon_H22c.
% 49.27/49.44 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H22f. zenon_intro zenon_H22e.
% 49.27/49.44 cut (((op2 (e23) (op2 (e21) (e23))) = (e23)) = ((op2 (e23) (e20)) = (op2 (e23) (e22)))).
% 49.27/49.44 intro zenon_D_pnotp.
% 49.27/49.44 apply zenon_H308.
% 49.27/49.44 rewrite <- zenon_D_pnotp.
% 49.27/49.44 exact zenon_H22e.
% 49.27/49.44 cut (((e23) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H230].
% 49.27/49.44 cut (((op2 (e23) (op2 (e21) (e23))) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H2b5].
% 49.27/49.44 congruence.
% 49.27/49.44 elim (classic ((op2 (e23) (e20)) = (op2 (e23) (e20)))); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1b6 ].
% 49.27/49.44 cut (((op2 (e23) (e20)) = (op2 (e23) (e20))) = ((op2 (e23) (op2 (e21) (e23))) = (op2 (e23) (e20)))).
% 49.27/49.44 intro zenon_D_pnotp.
% 49.27/49.44 apply zenon_H2b5.
% 49.27/49.44 rewrite <- zenon_D_pnotp.
% 49.27/49.44 exact zenon_H1b5.
% 49.27/49.44 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1b6].
% 49.27/49.44 cut (((op2 (e23) (e20)) = (op2 (e23) (op2 (e21) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H2b2].
% 49.27/49.44 congruence.
% 49.27/49.44 apply (zenon_L234_); trivial.
% 49.27/49.44 apply zenon_H1b6. apply refl_equal.
% 49.27/49.44 apply zenon_H1b6. apply refl_equal.
% 49.27/49.44 apply zenon_H230. apply sym_equal. exact zenon_H229.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H237 | zenon_intro zenon_H240 ].
% 49.27/49.44 apply (zenon_L189_); trivial.
% 49.27/49.44 apply (zenon_L202_); trivial.
% 49.27/49.44 (* end of lemma zenon_L389_ *)
% 49.27/49.44 assert (zenon_L390_ : (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((op2 (e23) (e22)) = (e23)) -> ((op2 (e23) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e21)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e23)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((e20) = (e22))) -> ((op2 (e21) (e21)) = (e20)) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((e21) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> ((op2 (e22) (e23)) = (e22)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> False).
% 49.27/49.44 do 0 intro. intros zenon_H2fc zenon_H229 zenon_H26d zenon_H228 zenon_H238 zenon_H1e6 zenon_H308 zenon_H206 zenon_H218 zenon_H1b4 zenon_H2da zenon_H1f0 zenon_H1da zenon_H25e zenon_H1dd zenon_H210 zenon_H29c zenon_H194 zenon_H331 zenon_H31f zenon_H323 zenon_H2ff zenon_H19e zenon_H14 zenon_H19b zenon_H2c0.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H2fc); [ zenon_intro zenon_H261 | zenon_intro zenon_H2fd ].
% 49.27/49.44 apply (zenon_L389_); trivial.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H2fd); [ zenon_intro zenon_H225 | zenon_intro zenon_H2fe ].
% 49.27/49.44 apply (zenon_L385_); trivial.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H2fe); [ zenon_intro zenon_H258 | zenon_intro zenon_H2bf ].
% 49.27/49.44 apply (zenon_L387_); trivial.
% 49.27/49.44 apply (zenon_L245_); trivial.
% 49.27/49.44 (* end of lemma zenon_L390_ *)
% 49.27/49.44 assert (zenon_L391_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e23) (e23)) = (e22)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False).
% 49.27/49.44 do 0 intro. intros zenon_H31f zenon_H331 zenon_H194 zenon_H29c zenon_H242 zenon_H2b4 zenon_H19e zenon_H14 zenon_H19b zenon_H1b4.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H31f); [ zenon_intro zenon_H20b | zenon_intro zenon_H320 ].
% 49.27/49.44 apply (zenon_L382_); trivial.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H320); [ zenon_intro zenon_H29b | zenon_intro zenon_H321 ].
% 49.27/49.44 apply (zenon_L222_); trivial.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H321); [ zenon_intro zenon_H20c | zenon_intro zenon_H1b3 ].
% 49.27/49.44 apply (zenon_L338_); trivial.
% 49.27/49.44 apply (zenon_L160_); trivial.
% 49.27/49.44 (* end of lemma zenon_L391_ *)
% 49.27/49.44 assert (zenon_L392_ : (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e22) = (e23))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e22)) -> ((op2 (e21) (e21)) = (e20)) -> (~((e20) = (e22))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e21)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e23)) = (e21)) -> ((op2 (e23) (e22)) = (e23)) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False).
% 49.27/49.44 do 0 intro. intros zenon_H325 zenon_H28b zenon_H274 zenon_H264 zenon_H336 zenon_H33a zenon_H2c0 zenon_H2ff zenon_H210 zenon_H1dd zenon_H25e zenon_H1da zenon_H1f0 zenon_H2da zenon_H218 zenon_H206 zenon_H308 zenon_H1e6 zenon_H238 zenon_H228 zenon_H26d zenon_H229 zenon_H2fc zenon_H31f zenon_H331 zenon_H194 zenon_H29c zenon_H2b4 zenon_H19e zenon_H14 zenon_H19b zenon_H1b4.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H28a | zenon_intro zenon_H326 ].
% 49.27/49.44 apply (zenon_L215_); trivial.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H258 | zenon_intro zenon_H327 ].
% 49.27/49.44 apply (zenon_L388_); trivial.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H323 | zenon_intro zenon_H242 ].
% 49.27/49.44 apply (zenon_L390_); trivial.
% 49.27/49.44 apply (zenon_L391_); trivial.
% 49.27/49.44 (* end of lemma zenon_L392_ *)
% 49.27/49.44 assert (zenon_L393_ : ((op2 (e20) (e23)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e21) = (e23))) -> (~((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 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((e20) = (e21))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((e20) = (e23))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> ((op2 (e20) (e21)) = (e21)) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e22)) -> ((op2 (e21) (e21)) = (e20)) -> (~((e20) = (e22))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False).
% 49.27/49.44 do 0 intro. intros zenon_H206 zenon_H274 zenon_H205 zenon_H253 zenon_H1fc zenon_H2a0 zenon_H1d2 zenon_H213 zenon_H325 zenon_H28b zenon_H264 zenon_H336 zenon_H33a zenon_H2c0 zenon_H2ff zenon_H218 zenon_H308 zenon_H1e6 zenon_H228 zenon_H2fc zenon_H2b4 zenon_H1ad zenon_H277 zenon_H271 zenon_H2d8 zenon_H195 zenon_H2fa zenon_H328 zenon_H2ed zenon_H285 zenon_H2bc zenon_H2ce zenon_H1f5 zenon_H322 zenon_H2b9 zenon_H298 zenon_H297 zenon_H1ba zenon_H19d zenon_H25a zenon_H282 zenon_H31a zenon_H1c9 zenon_H2cf zenon_H301 zenon_H2e6 zenon_H307 zenon_H2d4 zenon_H2cb zenon_H2af zenon_H317 zenon_H241 zenon_H31c zenon_H2a5 zenon_H250 zenon_H291 zenon_H1a7 zenon_H30a zenon_H2d9 zenon_H2db zenon_H28d zenon_H1c4 zenon_H32b zenon_H1c8 zenon_H31f zenon_H331 zenon_H194 zenon_H29c zenon_H210 zenon_H1dd zenon_H25e zenon_H1da zenon_H1f0 zenon_H2da zenon_H19e zenon_H14 zenon_H19b zenon_H1b4.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H2df ].
% 49.27/49.44 apply (zenon_L170_); trivial.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H1db | zenon_intro zenon_H2e0 ].
% 49.27/49.44 apply (zenon_L171_); trivial.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1de | zenon_intro zenon_H225 ].
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d0 ].
% 49.27/49.44 apply (zenon_L265_); trivial.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H2d1 ].
% 49.27/49.44 apply (zenon_L177_); trivial.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H238 | zenon_intro zenon_H256 ].
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H254 ].
% 49.27/49.44 apply (zenon_L221_); trivial.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1fb | zenon_intro zenon_H255 ].
% 49.27/49.44 apply (zenon_L178_); trivial.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H203 | zenon_intro zenon_H229 ].
% 49.27/49.44 apply (zenon_L180_); trivial.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H260 | zenon_intro zenon_H272 ].
% 49.27/49.44 apply (zenon_L380_); trivial.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H225 | zenon_intro zenon_H273 ].
% 49.27/49.44 apply (zenon_L385_); trivial.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H263 | zenon_intro zenon_H26d ].
% 49.27/49.44 apply (zenon_L200_); trivial.
% 49.27/49.44 apply (zenon_L392_); trivial.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H1ac | zenon_intro zenon_H278 ].
% 49.27/49.44 apply (zenon_L159_); trivial.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H238 | zenon_intro zenon_H279 ].
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H254 ].
% 49.27/49.44 apply (zenon_L221_); trivial.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1fb | zenon_intro zenon_H255 ].
% 49.27/49.44 apply (zenon_L178_); trivial.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H203 | zenon_intro zenon_H229 ].
% 49.27/49.44 apply (zenon_L180_); trivial.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H29b | zenon_intro zenon_H2a1 ].
% 49.27/49.44 apply (zenon_L222_); trivial.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H20e | zenon_intro zenon_H2a2 ].
% 49.27/49.44 apply (zenon_L194_); trivial.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H295 | zenon_intro zenon_H26d ].
% 49.27/49.44 apply (zenon_L218_); trivial.
% 49.27/49.44 apply (zenon_L392_); trivial.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H203 | zenon_intro zenon_H275 ].
% 49.27/49.44 apply (zenon_L180_); trivial.
% 49.27/49.44 apply (zenon_L206_); trivial.
% 49.27/49.44 apply (zenon_L385_); trivial.
% 49.27/49.44 (* end of lemma zenon_L393_ *)
% 49.27/49.44 assert (zenon_L394_ : (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e22)) = (e21)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e21) = (e23))) -> (~((e20) = (e21))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False).
% 49.27/49.44 do 0 intro. intros zenon_H253 zenon_H297 zenon_H213 zenon_H1de zenon_H291 zenon_H298 zenon_H1fc zenon_H205 zenon_H271 zenon_H1d2 zenon_H1c9 zenon_H261 zenon_H264 zenon_H19b zenon_H218 zenon_H206 zenon_H25a zenon_H214 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H228.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H254 ].
% 49.27/49.44 apply (zenon_L220_); trivial.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1fb | zenon_intro zenon_H255 ].
% 49.27/49.44 apply (zenon_L178_); trivial.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H203 | zenon_intro zenon_H229 ].
% 49.27/49.44 apply (zenon_L180_); trivial.
% 49.27/49.44 apply (zenon_L204_); trivial.
% 49.27/49.44 (* end of lemma zenon_L394_ *)
% 49.27/49.44 assert (zenon_L395_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e20) = (e22))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((e21) = (e23))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e20) (e20)) = (e22)) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e21) (e23)) = (e20)) -> (~((e20) = (e21))) -> False).
% 49.27/49.44 do 0 intro. intros zenon_H2d9 zenon_H1f0 zenon_H277 zenon_H1ad zenon_H228 zenon_H14 zenon_H1e6 zenon_H25a zenon_H218 zenon_H264 zenon_H1d2 zenon_H271 zenon_H1fc zenon_H298 zenon_H291 zenon_H213 zenon_H297 zenon_H253 zenon_H19b zenon_H19e zenon_H205 zenon_H274 zenon_H206 zenon_H1da zenon_H19d zenon_H1ec zenon_H2da zenon_H261 zenon_H1c9.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H2df ].
% 49.27/49.44 apply (zenon_L170_); trivial.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H1db | zenon_intro zenon_H2e0 ].
% 49.27/49.44 apply (zenon_L171_); trivial.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1de | zenon_intro zenon_H225 ].
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H1ed | zenon_intro zenon_H2e1 ].
% 49.27/49.44 apply (zenon_L175_); trivial.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H1ef | zenon_intro zenon_H2e2 ].
% 49.27/49.44 apply (zenon_L176_); trivial.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H214 | zenon_intro zenon_H258 ].
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H1ac | zenon_intro zenon_H278 ].
% 49.27/49.44 apply (zenon_L159_); trivial.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H238 | zenon_intro zenon_H279 ].
% 49.27/49.44 apply (zenon_L394_); trivial.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H203 | zenon_intro zenon_H275 ].
% 49.27/49.44 apply (zenon_L180_); trivial.
% 49.27/49.44 apply (zenon_L206_); trivial.
% 49.27/49.44 apply (zenon_L336_); trivial.
% 49.27/49.44 apply (zenon_L199_); trivial.
% 49.27/49.44 (* end of lemma zenon_L395_ *)
% 49.27/49.44 assert (zenon_L396_ : (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((e20) = (e21))) -> ((op2 (e23) (e21)) = (e20)) -> ((op2 (e21) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e23)) -> False).
% 49.27/49.44 do 0 intro. intros zenon_H2a0 zenon_H29c zenon_H19b zenon_H1c9 zenon_H305 zenon_H1de zenon_H213 zenon_H218 zenon_H206 zenon_H261 zenon_H308 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H228 zenon_H229.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H29b | zenon_intro zenon_H2a1 ].
% 49.27/49.44 apply (zenon_L222_); trivial.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H20e | zenon_intro zenon_H2a2 ].
% 49.27/49.44 apply (zenon_L312_); trivial.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H295 | zenon_intro zenon_H26d ].
% 49.27/49.44 apply (zenon_L218_); trivial.
% 49.27/49.44 apply (zenon_L389_); trivial.
% 49.27/49.44 (* end of lemma zenon_L396_ *)
% 49.27/49.44 assert (zenon_L397_ : (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((e22) = (e23))) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((e20) = (e21))) -> ((op2 (e23) (e21)) = (e20)) -> ((op2 (e21) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False).
% 49.27/49.44 do 0 intro. intros zenon_H253 zenon_H28b zenon_H25e zenon_H1fc zenon_H205 zenon_H2a0 zenon_H29c zenon_H19b zenon_H1c9 zenon_H305 zenon_H1de zenon_H213 zenon_H218 zenon_H206 zenon_H261 zenon_H308 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H228.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H254 ].
% 49.27/49.44 apply (zenon_L221_); trivial.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1fb | zenon_intro zenon_H255 ].
% 49.27/49.44 apply (zenon_L178_); trivial.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H203 | zenon_intro zenon_H229 ].
% 49.27/49.44 apply (zenon_L180_); trivial.
% 49.27/49.44 apply (zenon_L396_); trivial.
% 49.27/49.44 (* end of lemma zenon_L397_ *)
% 49.27/49.44 assert (zenon_L398_ : (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((e21) = (e23))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((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 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((e21) = (e22))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> ((op2 (e23) (e21)) = (e20)) -> (~((e20) = (e23))) -> False).
% 49.27/49.44 do 0 intro. intros zenon_H2ce zenon_H1d2 zenon_H1c8 zenon_H1f5 zenon_H1fc zenon_H19b zenon_H14 zenon_H19e zenon_H1dd zenon_H25e zenon_H213 zenon_H25a zenon_H282 zenon_H2b9 zenon_H253 zenon_H28b zenon_H205 zenon_H2a0 zenon_H29c zenon_H1c9 zenon_H218 zenon_H206 zenon_H261 zenon_H308 zenon_H1e6 zenon_H228 zenon_H210 zenon_H2cf zenon_H305 zenon_H1a7.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d0 ].
% 49.27/49.44 apply (zenon_L265_); trivial.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H2d1 ].
% 49.27/49.44 apply (zenon_L177_); trivial.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H238 | zenon_intro zenon_H256 ].
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H2d2 ].
% 49.27/49.44 apply (zenon_L197_); trivial.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H1de | zenon_intro zenon_H2d3 ].
% 49.27/49.44 apply (zenon_L397_); trivial.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H295 ].
% 49.27/49.44 apply (zenon_L240_); trivial.
% 49.27/49.44 apply (zenon_L322_); trivial.
% 49.27/49.44 apply (zenon_L335_); trivial.
% 49.27/49.44 (* end of lemma zenon_L398_ *)
% 49.27/49.44 assert (zenon_L399_ : (~((e20) = (e23))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((e21) = (e22))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (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) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((e21) = (e23))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e20) = (e22))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e20) (e20)) = (e22)) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False).
% 49.27/49.44 do 0 intro. intros zenon_H1a7 zenon_H2cf zenon_H210 zenon_H228 zenon_H1e6 zenon_H308 zenon_H218 zenon_H1c9 zenon_H29c zenon_H2a0 zenon_H205 zenon_H28b zenon_H253 zenon_H2b9 zenon_H282 zenon_H25a zenon_H213 zenon_H25e zenon_H1dd zenon_H1fc zenon_H1f5 zenon_H1c8 zenon_H1d2 zenon_H2ce zenon_H301 zenon_H2d9 zenon_H1f0 zenon_H277 zenon_H264 zenon_H271 zenon_H298 zenon_H291 zenon_H297 zenon_H274 zenon_H19d zenon_H1ec zenon_H2da zenon_H30a zenon_H325 zenon_H336 zenon_H33a zenon_H2c0 zenon_H2ff zenon_H2fc zenon_H2b4 zenon_H2d8 zenon_H195 zenon_H2fa zenon_H328 zenon_H2ed zenon_H285 zenon_H2bc zenon_H322 zenon_H1ba zenon_H31a zenon_H2e6 zenon_H307 zenon_H2d4 zenon_H2cb zenon_H2af zenon_H317 zenon_H241 zenon_H31c zenon_H2a5 zenon_H250 zenon_H2db zenon_H28d zenon_H1c4 zenon_H32b zenon_H31f zenon_H331 zenon_H194 zenon_H1ad zenon_H19e zenon_H14 zenon_H19b zenon_H1b4.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H19f | zenon_intro zenon_H28e ].
% 49.27/49.44 apply (zenon_L156_); trivial.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28f ].
% 49.27/49.44 apply (zenon_L265_); trivial.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H206 ].
% 49.27/49.44 apply (zenon_L221_); trivial.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ].
% 49.27/49.44 apply (zenon_L156_); trivial.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ].
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2dd ].
% 49.27/49.44 apply (zenon_L158_); trivial.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1da | zenon_intro zenon_H2de ].
% 49.27/49.44 apply (zenon_L393_); trivial.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H25b | zenon_intro zenon_H261 ].
% 49.27/49.44 apply (zenon_L196_); trivial.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H193 | zenon_intro zenon_H30b ].
% 49.27/49.44 apply (zenon_L166_); trivial.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H30b); [ zenon_intro zenon_H1da | zenon_intro zenon_H30c ].
% 49.27/49.44 apply (zenon_L395_); trivial.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H30c); [ zenon_intro zenon_H302 | zenon_intro zenon_H305 ].
% 49.27/49.44 apply (zenon_L292_); trivial.
% 49.27/49.44 apply (zenon_L398_); trivial.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ].
% 49.27/49.44 apply (zenon_L159_); trivial.
% 49.27/49.44 apply (zenon_L160_); trivial.
% 49.27/49.44 (* end of lemma zenon_L399_ *)
% 49.27/49.44 assert (zenon_L400_ : (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> ((op2 (e22) (e23)) = (e22)) -> False).
% 49.27/49.44 do 0 intro. intros zenon_H274 zenon_H28a zenon_H323.
% 49.27/49.44 cut (((op2 (e20) (e23)) = (e22)) = ((op2 (e20) (e23)) = (op2 (e22) (e23)))).
% 49.27/49.44 intro zenon_D_pnotp.
% 49.27/49.44 apply zenon_H274.
% 49.27/49.44 rewrite <- zenon_D_pnotp.
% 49.27/49.44 exact zenon_H28a.
% 49.27/49.44 cut (((e22) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H324].
% 49.27/49.44 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H209].
% 49.27/49.44 congruence.
% 49.27/49.44 apply zenon_H209. apply refl_equal.
% 49.27/49.44 apply zenon_H324. apply sym_equal. exact zenon_H323.
% 49.27/49.44 (* end of lemma zenon_L400_ *)
% 49.27/49.44 assert (zenon_L401_ : (~((op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22))) = (op2 (e22) (e23)))) -> ((op2 (e21) (e20)) = (e23)) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e23)) = (e23)) -> False).
% 49.27/49.44 do 0 intro. intros zenon_H33d zenon_H1a6 zenon_H19b zenon_H14 zenon_H275.
% 49.27/49.44 cut (((op2 (e21) (e20)) = (e23)) = ((op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22))) = (op2 (e22) (e23)))).
% 49.27/49.44 intro zenon_D_pnotp.
% 49.27/49.44 apply zenon_H33d.
% 49.27/49.44 rewrite <- zenon_D_pnotp.
% 49.27/49.44 exact zenon_H1a6.
% 49.27/49.44 cut (((e23) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H276].
% 49.27/49.44 cut (((op2 (e21) (e20)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H33e].
% 49.27/49.44 congruence.
% 49.27/49.44 elim (classic ((op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22))) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22))))); [ zenon_intro zenon_H33f | zenon_intro zenon_H340 ].
% 49.27/49.44 cut (((op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22))) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) = ((op2 (e21) (e20)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22))))).
% 49.27/49.44 intro zenon_D_pnotp.
% 49.27/49.44 apply zenon_H33e.
% 49.27/49.44 rewrite <- zenon_D_pnotp.
% 49.27/49.44 exact zenon_H33f.
% 49.27/49.44 cut (((op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22))) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H340].
% 49.27/49.44 cut (((op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22))) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H19a].
% 49.27/49.44 congruence.
% 49.27/49.44 apply (zenon_L155_); trivial.
% 49.27/49.44 apply zenon_H340. apply refl_equal.
% 49.27/49.44 apply zenon_H340. apply refl_equal.
% 49.27/49.44 apply zenon_H276. apply sym_equal. exact zenon_H275.
% 49.27/49.44 (* end of lemma zenon_L401_ *)
% 49.27/49.44 assert (zenon_L402_ : (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e23) (e23)) = (e23)) -> ((op2 (e21) (e20)) = (e23)) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> False).
% 49.27/49.44 do 0 intro. intros zenon_H33a zenon_H336 zenon_H264 zenon_H28a zenon_H274 zenon_H19e zenon_H2a6 zenon_H1a6 zenon_H19b zenon_H14 zenon_H241.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H335 | zenon_intro zenon_H33b ].
% 49.27/49.44 apply (zenon_L386_); trivial.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H33b); [ zenon_intro zenon_H263 | zenon_intro zenon_H33c ].
% 49.27/49.44 apply (zenon_L200_); trivial.
% 49.27/49.44 apply (zenon_or_s _ _ zenon_H33c); [ zenon_intro zenon_H323 | zenon_intro zenon_H275 ].
% 49.27/49.44 apply (zenon_L400_); trivial.
% 49.27/49.44 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H21f | zenon_intro zenon_H220 ].
% 49.27/49.44 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((op2 (e22) (e23)) = (op2 (e23) (e23)))).
% 49.27/49.44 intro zenon_D_pnotp.
% 49.27/49.44 apply zenon_H241.
% 49.27/49.44 rewrite <- zenon_D_pnotp.
% 49.27/49.44 exact zenon_H21f.
% 49.27/49.44 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H220].
% 49.27/49.44 cut (((op2 (e23) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H341].
% 49.27/49.44 congruence.
% 49.27/49.44 cut (((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) = ((op2 (e23) (e23)) = (op2 (e22) (e23)))).
% 49.27/49.44 intro zenon_D_pnotp.
% 49.27/49.44 apply zenon_H341.
% 49.27/49.44 rewrite <- zenon_D_pnotp.
% 49.27/49.44 exact zenon_H19e.
% 49.27/49.44 cut (((op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22))) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H33d].
% 49.27/49.44 cut (((e23) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H2a7].
% 49.27/49.44 congruence.
% 49.27/49.44 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H21f | zenon_intro zenon_H220 ].
% 49.27/49.44 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((e23) = (op2 (e23) (e23)))).
% 49.27/49.44 intro zenon_D_pnotp.
% 49.27/49.44 apply zenon_H2a7.
% 49.27/49.44 rewrite <- zenon_D_pnotp.
% 49.27/49.44 exact zenon_H21f.
% 49.27/49.44 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H220].
% 49.27/49.44 cut (((op2 (e23) (e23)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H2d6].
% 49.27/49.44 congruence.
% 49.27/49.44 exact (zenon_H2d6 zenon_H2a6).
% 49.27/49.44 apply zenon_H220. apply refl_equal.
% 49.27/49.44 apply zenon_H220. apply refl_equal.
% 49.27/49.44 apply (zenon_L401_); trivial.
% 49.27/49.44 apply zenon_H220. apply refl_equal.
% 49.27/49.44 apply zenon_H220. apply refl_equal.
% 49.27/49.44 (* end of lemma zenon_L402_ *)
% 49.27/49.44 assert (zenon_L403_ : (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> ((op2 (e23) (e23)) = (e23)) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e22)) -> False).
% 49.27/49.45 do 0 intro. intros zenon_H218 zenon_H206 zenon_H2a6 zenon_H261 zenon_H2b4 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H291 zenon_H215.
% 49.27/49.45 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H217 | zenon_intro zenon_H24e ].
% 49.27/49.45 apply (zenon_L185_); trivial.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H227 | zenon_intro zenon_H24f ].
% 49.27/49.45 apply (zenon_L235_); trivial.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H237 | zenon_intro zenon_H240 ].
% 49.27/49.45 apply (zenon_L189_); trivial.
% 49.27/49.45 apply (zenon_L228_); trivial.
% 49.27/49.45 (* end of lemma zenon_L403_ *)
% 49.27/49.45 assert (zenon_L404_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((e20) = (e23))) -> ((op2 (e23) (e21)) = (e20)) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (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 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e22)) -> False).
% 49.27/49.45 do 0 intro. intros zenon_H2af zenon_H1b4 zenon_H1a7 zenon_H305 zenon_H1d1 zenon_H297 zenon_H342 zenon_H205 zenon_H2a5 zenon_H241 zenon_H19b zenon_H1a6 zenon_H274 zenon_H264 zenon_H336 zenon_H33a zenon_H218 zenon_H261 zenon_H2b4 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H291 zenon_H215.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H2b0 ].
% 49.27/49.45 apply (zenon_L160_); trivial.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H256 | zenon_intro zenon_H2b1 ].
% 49.27/49.45 apply (zenon_L335_); trivial.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H229 | zenon_intro zenon_H2a6 ].
% 49.27/49.45 apply (zenon_L219_); trivial.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H342); [ zenon_intro zenon_H2f1 | zenon_intro zenon_H343 ].
% 49.27/49.45 apply (zenon_L272_); trivial.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H343); [ zenon_intro zenon_H260 | zenon_intro zenon_H344 ].
% 49.27/49.45 apply (zenon_L236_); trivial.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H344); [ zenon_intro zenon_H28a | zenon_intro zenon_H206 ].
% 49.27/49.45 apply (zenon_L402_); trivial.
% 49.27/49.45 apply (zenon_L403_); trivial.
% 49.27/49.45 (* end of lemma zenon_L404_ *)
% 49.27/49.45 assert (zenon_L405_ : (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((e22) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e22)) = (e21)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((e20) = (e23))) -> ((op2 (e23) (e21)) = (e20)) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (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 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> False).
% 49.27/49.45 do 0 intro. intros zenon_H285 zenon_H28b zenon_H213 zenon_H1de zenon_H298 zenon_H1dd zenon_H2af zenon_H1b4 zenon_H1a7 zenon_H305 zenon_H1d1 zenon_H297 zenon_H342 zenon_H205 zenon_H2a5 zenon_H241 zenon_H19b zenon_H1a6 zenon_H274 zenon_H264 zenon_H336 zenon_H33a zenon_H218 zenon_H261 zenon_H2b4 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H291.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H25e | zenon_intro zenon_H286 ].
% 49.27/49.45 apply (zenon_L221_); trivial.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H214 | zenon_intro zenon_H287 ].
% 49.27/49.45 apply (zenon_L220_); trivial.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H27b | zenon_intro zenon_H215 ].
% 49.27/49.45 apply (zenon_L209_); trivial.
% 49.27/49.45 apply (zenon_L404_); trivial.
% 49.27/49.45 (* end of lemma zenon_L405_ *)
% 49.27/49.45 assert (zenon_L406_ : (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e20)) -> ((op2 (e23) (e23)) = (e20)) -> False).
% 49.27/49.45 do 0 intro. intros zenon_H218 zenon_H2f1 zenon_H314.
% 49.27/49.45 cut (((op2 (e20) (e23)) = (e20)) = ((op2 (e20) (e23)) = (op2 (e23) (e23)))).
% 49.27/49.45 intro zenon_D_pnotp.
% 49.27/49.45 apply zenon_H218.
% 49.27/49.45 rewrite <- zenon_D_pnotp.
% 49.27/49.45 exact zenon_H2f1.
% 49.27/49.45 cut (((e20) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H315].
% 49.27/49.45 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H209].
% 49.27/49.45 congruence.
% 49.27/49.45 apply zenon_H209. apply refl_equal.
% 49.27/49.45 apply zenon_H315. apply sym_equal. exact zenon_H314.
% 49.27/49.45 (* end of lemma zenon_L406_ *)
% 49.27/49.45 assert (zenon_L407_ : (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> ((op2 (e20) (e23)) = (e22)) -> ((op2 (e22) (e20)) = (e21)) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e23)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e23)) = (e20)) -> ((op2 (e23) (e21)) = (e23)) -> False).
% 49.27/49.45 do 0 intro. intros zenon_H297 zenon_H1d1 zenon_H28a zenon_H30d zenon_H1da zenon_H1ad zenon_H264 zenon_H14 zenon_H275 zenon_H19e zenon_H2fa zenon_H314 zenon_H256.
% 49.27/49.45 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H217 | zenon_intro zenon_H24e ].
% 49.27/49.45 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H21a. zenon_intro zenon_H219.
% 49.27/49.45 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H21c. zenon_intro zenon_H21b.
% 49.27/49.45 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H21e. zenon_intro zenon_H21d.
% 49.27/49.45 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_H27e | zenon_intro zenon_H27f ].
% 49.27/49.45 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((op2 (e20) (e22)) = (op2 (e23) (e22)))).
% 49.27/49.45 intro zenon_D_pnotp.
% 49.27/49.45 apply zenon_H297.
% 49.27/49.45 rewrite <- zenon_D_pnotp.
% 49.27/49.45 exact zenon_H27e.
% 49.27/49.45 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H27f].
% 49.27/49.45 cut (((op2 (e23) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H2a9].
% 49.27/49.45 congruence.
% 49.27/49.45 cut (((op2 (e23) (op2 (e20) (e23))) = (e23)) = ((op2 (e23) (e22)) = (op2 (e20) (e22)))).
% 49.27/49.45 intro zenon_D_pnotp.
% 49.27/49.45 apply zenon_H2a9.
% 49.27/49.45 rewrite <- zenon_D_pnotp.
% 49.27/49.45 exact zenon_H21d.
% 49.27/49.45 cut (((e23) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H27d].
% 49.27/49.45 cut (((op2 (e23) (op2 (e20) (e23))) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H345].
% 49.27/49.45 congruence.
% 49.27/49.45 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_H27e | zenon_intro zenon_H27f ].
% 49.27/49.45 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((op2 (e23) (op2 (e20) (e23))) = (op2 (e23) (e22)))).
% 49.27/49.45 intro zenon_D_pnotp.
% 49.27/49.45 apply zenon_H345.
% 49.27/49.45 rewrite <- zenon_D_pnotp.
% 49.27/49.45 exact zenon_H27e.
% 49.27/49.45 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H27f].
% 49.27/49.45 cut (((op2 (e23) (e22)) = (op2 (e23) (op2 (e20) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H346].
% 49.27/49.45 congruence.
% 49.27/49.45 cut (((e22) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H347].
% 49.27/49.45 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1a9].
% 49.27/49.45 congruence.
% 49.27/49.45 apply zenon_H1a9. apply refl_equal.
% 49.27/49.45 apply zenon_H347. apply sym_equal. exact zenon_H28a.
% 49.27/49.45 apply zenon_H27f. apply refl_equal.
% 49.27/49.45 apply zenon_H27f. apply refl_equal.
% 49.27/49.45 apply zenon_H27d. apply sym_equal. exact zenon_H1d1.
% 49.27/49.45 apply zenon_H27f. apply refl_equal.
% 49.27/49.45 apply zenon_H27f. apply refl_equal.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H227 | zenon_intro zenon_H24f ].
% 49.27/49.45 apply (zenon_L308_); trivial.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H237 | zenon_intro zenon_H240 ].
% 49.27/49.45 apply (zenon_L246_); trivial.
% 49.27/49.45 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H244. zenon_intro zenon_H243.
% 49.27/49.45 apply (zenon_and_s _ _ zenon_H243). zenon_intro zenon_H246. zenon_intro zenon_H245.
% 49.27/49.45 apply (zenon_and_s _ _ zenon_H245). zenon_intro zenon_H248. zenon_intro zenon_H247.
% 49.27/49.45 cut (((op2 (e23) (op2 (e23) (e23))) = (e23)) = ((op2 (e23) (e20)) = (op2 (e23) (e21)))).
% 49.27/49.45 intro zenon_D_pnotp.
% 49.27/49.45 apply zenon_H2fa.
% 49.27/49.45 rewrite <- zenon_D_pnotp.
% 49.27/49.45 exact zenon_H247.
% 49.27/49.45 cut (((e23) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2fb].
% 49.27/49.45 cut (((op2 (e23) (op2 (e23) (e23))) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H316].
% 49.27/49.45 congruence.
% 49.27/49.45 elim (classic ((op2 (e23) (e20)) = (op2 (e23) (e20)))); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1b6 ].
% 49.27/49.45 cut (((op2 (e23) (e20)) = (op2 (e23) (e20))) = ((op2 (e23) (op2 (e23) (e23))) = (op2 (e23) (e20)))).
% 49.27/49.45 intro zenon_D_pnotp.
% 49.27/49.45 apply zenon_H316.
% 49.27/49.45 rewrite <- zenon_D_pnotp.
% 49.27/49.45 exact zenon_H1b5.
% 49.27/49.45 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1b6].
% 49.27/49.45 cut (((op2 (e23) (e20)) = (op2 (e23) (op2 (e23) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H313].
% 49.27/49.45 congruence.
% 49.27/49.45 apply (zenon_L313_); trivial.
% 49.27/49.45 apply zenon_H1b6. apply refl_equal.
% 49.27/49.45 apply zenon_H1b6. apply refl_equal.
% 49.27/49.45 apply zenon_H2fb. apply sym_equal. exact zenon_H256.
% 49.27/49.45 (* end of lemma zenon_L407_ *)
% 49.27/49.45 assert (zenon_L408_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (e23) (e23)) = (e21)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e21)) = (e23)) -> ((op2 (e23) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (e21)) = (e20)) -> ((op2 (e22) (e20)) = (e21)) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e23)) = (e23)) -> False).
% 49.27/49.45 do 0 intro. intros zenon_H342 zenon_H26d zenon_H218 zenon_H256 zenon_H314 zenon_H2fa zenon_H19e zenon_H14 zenon_H264 zenon_H1ad zenon_H1da zenon_H30d zenon_H1d1 zenon_H297 zenon_H274 zenon_H275.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H342); [ zenon_intro zenon_H2f1 | zenon_intro zenon_H343 ].
% 49.27/49.45 apply (zenon_L406_); trivial.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H343); [ zenon_intro zenon_H260 | zenon_intro zenon_H344 ].
% 49.27/49.45 apply (zenon_L223_); trivial.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H344); [ zenon_intro zenon_H28a | zenon_intro zenon_H206 ].
% 49.27/49.45 apply (zenon_L407_); trivial.
% 49.27/49.45 apply (zenon_L206_); trivial.
% 49.27/49.45 (* end of lemma zenon_L408_ *)
% 49.27/49.45 assert (zenon_L409_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e22)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e21)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e20)) = (e23)) -> ((op2 (e23) (e23)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> False).
% 49.27/49.45 do 0 intro. intros zenon_H342 zenon_H2b4 zenon_H215 zenon_H291 zenon_H238 zenon_H1e6 zenon_H1d1 zenon_H297 zenon_H2a5 zenon_H241 zenon_H1a6 zenon_H2a6 zenon_H19e zenon_H33a zenon_H336 zenon_H264 zenon_H14 zenon_H19b zenon_H258 zenon_H2ff zenon_H274.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H342); [ zenon_intro zenon_H2f1 | zenon_intro zenon_H343 ].
% 49.27/49.45 apply (zenon_L287_); trivial.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H343); [ zenon_intro zenon_H260 | zenon_intro zenon_H344 ].
% 49.27/49.45 apply (zenon_L229_); trivial.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H344); [ zenon_intro zenon_H28a | zenon_intro zenon_H206 ].
% 49.27/49.45 apply (zenon_L402_); trivial.
% 49.27/49.45 apply (zenon_L388_); trivial.
% 49.27/49.45 (* end of lemma zenon_L409_ *)
% 49.27/49.45 assert (zenon_L410_ : (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((op2 (e22) (e20)) = (e21)) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e23)) = (e20)) -> ((op2 (e23) (e21)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e23)) = (e21)) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e22)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e21)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e20)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> False).
% 49.27/49.45 do 0 intro. intros zenon_H2cb zenon_H2c0 zenon_H30d zenon_H1da zenon_H1ad zenon_H2fa zenon_H314 zenon_H256 zenon_H218 zenon_H26d zenon_H342 zenon_H2b4 zenon_H215 zenon_H291 zenon_H238 zenon_H1e6 zenon_H1d1 zenon_H297 zenon_H2a5 zenon_H241 zenon_H1a6 zenon_H19e zenon_H33a zenon_H336 zenon_H264 zenon_H14 zenon_H19b zenon_H258 zenon_H2ff zenon_H274.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H206 | zenon_intro zenon_H2cc ].
% 49.27/49.45 apply (zenon_L388_); trivial.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H2bf | zenon_intro zenon_H2cd ].
% 49.27/49.45 apply (zenon_L245_); trivial.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H275 | zenon_intro zenon_H2a6 ].
% 49.27/49.45 apply (zenon_L408_); trivial.
% 49.27/49.45 apply (zenon_L409_); trivial.
% 49.27/49.45 (* end of lemma zenon_L410_ *)
% 49.27/49.45 assert (zenon_L411_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e23) (e23)) = (e21)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (e21)) = (e20)) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e22)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e21)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e20)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> False).
% 49.27/49.45 do 0 intro. intros zenon_H2af zenon_H1b4 zenon_H26d zenon_H218 zenon_H314 zenon_H2fa zenon_H1ad zenon_H1da zenon_H30d zenon_H2c0 zenon_H2cb zenon_H342 zenon_H2b4 zenon_H215 zenon_H291 zenon_H238 zenon_H1e6 zenon_H1d1 zenon_H297 zenon_H2a5 zenon_H241 zenon_H1a6 zenon_H19e zenon_H33a zenon_H336 zenon_H264 zenon_H14 zenon_H19b zenon_H258 zenon_H2ff zenon_H274.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H2b0 ].
% 49.27/49.45 apply (zenon_L160_); trivial.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H256 | zenon_intro zenon_H2b1 ].
% 49.27/49.45 apply (zenon_L410_); trivial.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H229 | zenon_intro zenon_H2a6 ].
% 49.27/49.45 apply (zenon_L219_); trivial.
% 49.27/49.45 apply (zenon_L409_); trivial.
% 49.27/49.45 (* end of lemma zenon_L411_ *)
% 49.27/49.45 assert (zenon_L412_ : (~((e21) = (e22))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (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) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((e22) = (e23))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((e21) = (e23))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> ((op2 (e21) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (e21)) = (e20)) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e22)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e21)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e20)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> False).
% 49.27/49.45 do 0 intro. intros zenon_H210 zenon_H2da zenon_H1ec zenon_H19d zenon_H2ce zenon_H317 zenon_H205 zenon_H1f0 zenon_H250 zenon_H1c9 zenon_H228 zenon_H308 zenon_H2d4 zenon_H277 zenon_H2e6 zenon_H307 zenon_H253 zenon_H1fc zenon_H25a zenon_H282 zenon_H31a zenon_H2cf zenon_H1f5 zenon_H2a0 zenon_H29c zenon_H1dd zenon_H298 zenon_H28b zenon_H285 zenon_H1d2 zenon_H271 zenon_H1de zenon_H213 zenon_H2af zenon_H1b4 zenon_H218 zenon_H314 zenon_H2fa zenon_H1ad zenon_H1da zenon_H30d zenon_H2c0 zenon_H2cb zenon_H342 zenon_H2b4 zenon_H215 zenon_H291 zenon_H238 zenon_H1e6 zenon_H1d1 zenon_H297 zenon_H2a5 zenon_H241 zenon_H1a6 zenon_H19e zenon_H33a zenon_H336 zenon_H264 zenon_H14 zenon_H19b zenon_H258 zenon_H2ff zenon_H274.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H29b | zenon_intro zenon_H2a1 ].
% 49.27/49.45 apply (zenon_L222_); trivial.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H20e | zenon_intro zenon_H2a2 ].
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H260 | zenon_intro zenon_H272 ].
% 49.27/49.45 apply (zenon_L334_); trivial.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H225 | zenon_intro zenon_H273 ].
% 49.27/49.45 apply (zenon_L195_); trivial.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H263 | zenon_intro zenon_H26d ].
% 49.27/49.45 apply (zenon_L200_); trivial.
% 49.27/49.45 apply (zenon_L411_); trivial.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H295 | zenon_intro zenon_H26d ].
% 49.27/49.45 apply (zenon_L218_); trivial.
% 49.27/49.45 apply (zenon_L411_); trivial.
% 49.27/49.45 (* end of lemma zenon_L412_ *)
% 49.27/49.45 assert (zenon_L413_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((e20) = (e23))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e21) = (e22))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (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) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((e22) = (e23))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((e21) = (e23))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> ((op2 (e21) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (e21)) = (e20)) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e21)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e20)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> False).
% 49.27/49.45 do 0 intro. intros zenon_H31f zenon_H32b zenon_H1c4 zenon_H28d zenon_H2db zenon_H31c zenon_H1ba zenon_H322 zenon_H2bc zenon_H2ed zenon_H328 zenon_H195 zenon_H2d8 zenon_H2fc zenon_H325 zenon_H30a zenon_H2d9 zenon_H301 zenon_H1c8 zenon_H2b9 zenon_H331 zenon_H1a7 zenon_H194 zenon_H2f2 zenon_H348 zenon_H210 zenon_H2da zenon_H1ec zenon_H19d zenon_H2ce zenon_H317 zenon_H205 zenon_H1f0 zenon_H250 zenon_H1c9 zenon_H228 zenon_H308 zenon_H2d4 zenon_H277 zenon_H2e6 zenon_H307 zenon_H253 zenon_H1fc zenon_H25a zenon_H282 zenon_H31a zenon_H2cf zenon_H1f5 zenon_H2a0 zenon_H29c zenon_H1dd zenon_H298 zenon_H28b zenon_H285 zenon_H1d2 zenon_H271 zenon_H1de zenon_H213 zenon_H2af zenon_H1b4 zenon_H218 zenon_H2fa zenon_H1ad zenon_H1da zenon_H30d zenon_H2c0 zenon_H2cb zenon_H342 zenon_H2b4 zenon_H291 zenon_H238 zenon_H1e6 zenon_H1d1 zenon_H297 zenon_H2a5 zenon_H241 zenon_H1a6 zenon_H19e zenon_H33a zenon_H336 zenon_H264 zenon_H14 zenon_H19b zenon_H258 zenon_H2ff zenon_H274.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H25e | zenon_intro zenon_H286 ].
% 49.27/49.45 apply (zenon_L399_); trivial.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H214 | zenon_intro zenon_H287 ].
% 49.27/49.45 apply (zenon_L220_); trivial.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H27b | zenon_intro zenon_H215 ].
% 49.27/49.45 apply (zenon_L209_); trivial.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H317); [ zenon_intro zenon_H20b | zenon_intro zenon_H318 ].
% 49.27/49.45 apply (zenon_L382_); trivial.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H305 | zenon_intro zenon_H319 ].
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H348); [ zenon_intro zenon_H2f1 | zenon_intro zenon_H349 ].
% 49.27/49.45 apply (zenon_L264_); trivial.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H349); [ zenon_intro zenon_H261 | zenon_intro zenon_H34a ].
% 49.27/49.45 apply (zenon_L405_); trivial.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H335 | zenon_intro zenon_H314 ].
% 49.27/49.45 apply (zenon_L386_); trivial.
% 49.27/49.45 apply (zenon_L412_); trivial.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H290 | zenon_intro zenon_H314 ].
% 49.27/49.45 apply (zenon_L217_); trivial.
% 49.27/49.45 apply (zenon_L412_); trivial.
% 49.27/49.45 (* end of lemma zenon_L413_ *)
% 49.27/49.45 assert (zenon_L414_ : (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((e21) = (e23))) -> ((op2 (e21) (e22)) = (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 (e23) (e21)) = (e23)) -> ((op2 (e23) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (e21)) = (e20)) -> ((op2 (e22) (e20)) = (e21)) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e23)) = (e23)) -> False).
% 49.27/49.45 do 0 intro. intros zenon_H2a0 zenon_H29c zenon_H19b zenon_H1d2 zenon_H1de zenon_H213 zenon_H342 zenon_H218 zenon_H256 zenon_H314 zenon_H2fa zenon_H19e zenon_H14 zenon_H264 zenon_H1ad zenon_H1da zenon_H30d zenon_H1d1 zenon_H297 zenon_H274 zenon_H275.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H29b | zenon_intro zenon_H2a1 ].
% 49.27/49.45 apply (zenon_L222_); trivial.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H20e | zenon_intro zenon_H2a2 ].
% 49.27/49.45 apply (zenon_L194_); trivial.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H295 | zenon_intro zenon_H26d ].
% 49.27/49.45 apply (zenon_L218_); trivial.
% 49.27/49.45 apply (zenon_L408_); trivial.
% 49.27/49.45 (* end of lemma zenon_L414_ *)
% 49.27/49.45 assert (zenon_L415_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((e20) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> ((op2 (e22) (e20)) = (e21)) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e21)) = (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)) = (e21)) -> (~((e21) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e22) (e22)) = (e23)) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> False).
% 49.27/49.45 do 0 intro. intros zenon_H317 zenon_H331 zenon_H194 zenon_H1a7 zenon_H291 zenon_H2cb zenon_H2ff zenon_H258 zenon_H336 zenon_H33a zenon_H2c0 zenon_H274 zenon_H297 zenon_H1d1 zenon_H30d zenon_H1da zenon_H1ad zenon_H264 zenon_H14 zenon_H2fa zenon_H256 zenon_H218 zenon_H342 zenon_H213 zenon_H1de zenon_H1d2 zenon_H29c zenon_H2a0 zenon_H19e zenon_H203 zenon_H19b zenon_H2d4.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H317); [ zenon_intro zenon_H20b | zenon_intro zenon_H318 ].
% 49.27/49.45 apply (zenon_L382_); trivial.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H305 | zenon_intro zenon_H319 ].
% 49.27/49.45 apply (zenon_L335_); trivial.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H290 | zenon_intro zenon_H314 ].
% 49.27/49.45 apply (zenon_L217_); trivial.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H206 | zenon_intro zenon_H2cc ].
% 49.27/49.45 apply (zenon_L388_); trivial.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H2bf | zenon_intro zenon_H2cd ].
% 49.27/49.45 apply (zenon_L245_); trivial.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H275 | zenon_intro zenon_H2a6 ].
% 49.27/49.45 apply (zenon_L414_); trivial.
% 49.27/49.45 apply (zenon_L256_); trivial.
% 49.27/49.45 (* end of lemma zenon_L415_ *)
% 49.27/49.45 assert (zenon_L416_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((e20) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((e21) = (e23))) -> ((op2 (e21) (e22)) = (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 (e23) (e21)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (e21)) = (e20)) -> ((op2 (e22) (e20)) = (e21)) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e23)) = (e23)) -> False).
% 49.27/49.45 do 0 intro. intros zenon_H317 zenon_H331 zenon_H194 zenon_H1a7 zenon_H291 zenon_H2a0 zenon_H29c zenon_H19b zenon_H1d2 zenon_H1de zenon_H213 zenon_H342 zenon_H218 zenon_H256 zenon_H2fa zenon_H19e zenon_H14 zenon_H264 zenon_H1ad zenon_H1da zenon_H30d zenon_H1d1 zenon_H297 zenon_H274 zenon_H275.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H317); [ zenon_intro zenon_H20b | zenon_intro zenon_H318 ].
% 49.27/49.45 apply (zenon_L382_); trivial.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H305 | zenon_intro zenon_H319 ].
% 49.27/49.45 apply (zenon_L335_); trivial.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H290 | zenon_intro zenon_H314 ].
% 49.27/49.45 apply (zenon_L217_); trivial.
% 49.27/49.45 apply (zenon_L414_); trivial.
% 49.27/49.45 (* end of lemma zenon_L416_ *)
% 49.27/49.45 assert (zenon_L417_ : (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e23) (e22)) = (e22)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((e20) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((e21) = (e23))) -> ((op2 (e21) (e22)) = (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 (e23) (e21)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (e21)) = (e20)) -> ((op2 (e22) (e20)) = (e21)) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> False).
% 49.27/49.45 do 0 intro. intros zenon_H277 zenon_H1a6 zenon_H241 zenon_H2a5 zenon_H1e6 zenon_H215 zenon_H2b4 zenon_H2d4 zenon_H2c0 zenon_H33a zenon_H336 zenon_H258 zenon_H2ff zenon_H2cb zenon_H317 zenon_H331 zenon_H194 zenon_H1a7 zenon_H291 zenon_H2a0 zenon_H29c zenon_H19b zenon_H1d2 zenon_H1de zenon_H213 zenon_H342 zenon_H218 zenon_H256 zenon_H2fa zenon_H19e zenon_H14 zenon_H264 zenon_H1ad zenon_H1da zenon_H30d zenon_H1d1 zenon_H297 zenon_H274.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H1ac | zenon_intro zenon_H278 ].
% 49.27/49.45 apply (zenon_L159_); trivial.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H238 | zenon_intro zenon_H279 ].
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H317); [ zenon_intro zenon_H20b | zenon_intro zenon_H318 ].
% 49.27/49.45 apply (zenon_L382_); trivial.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H305 | zenon_intro zenon_H319 ].
% 49.27/49.45 apply (zenon_L335_); trivial.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H290 | zenon_intro zenon_H314 ].
% 49.27/49.45 apply (zenon_L217_); trivial.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H29b | zenon_intro zenon_H2a1 ].
% 49.27/49.45 apply (zenon_L222_); trivial.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H20e | zenon_intro zenon_H2a2 ].
% 49.27/49.45 apply (zenon_L194_); trivial.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H295 | zenon_intro zenon_H26d ].
% 49.27/49.45 apply (zenon_L218_); trivial.
% 49.27/49.45 apply (zenon_L410_); trivial.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H203 | zenon_intro zenon_H275 ].
% 49.27/49.45 apply (zenon_L415_); trivial.
% 49.27/49.45 apply (zenon_L416_); trivial.
% 49.27/49.45 (* end of lemma zenon_L417_ *)
% 49.27/49.45 assert (zenon_L418_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((e20) = (e23))) -> ((op2 (e23) (e21)) = (e20)) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e21) (e20)) = (e23)) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> False).
% 49.27/49.45 do 0 intro. intros zenon_H2af zenon_H1b4 zenon_H1a7 zenon_H305 zenon_H1d1 zenon_H297 zenon_H33a zenon_H336 zenon_H264 zenon_H28a zenon_H274 zenon_H19e zenon_H1a6 zenon_H19b zenon_H14 zenon_H241.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H2b0 ].
% 49.27/49.45 apply (zenon_L160_); trivial.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H256 | zenon_intro zenon_H2b1 ].
% 49.27/49.45 apply (zenon_L335_); trivial.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H229 | zenon_intro zenon_H2a6 ].
% 49.27/49.45 apply (zenon_L219_); trivial.
% 49.27/49.45 apply (zenon_L402_); trivial.
% 49.27/49.45 (* end of lemma zenon_L418_ *)
% 49.27/49.45 assert (zenon_L419_ : (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> ((op2 (e23) (e23)) = (e23)) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e22)) = (e21)) -> ((op2 (e22) (e23)) = (e22)) -> False).
% 49.27/49.45 do 0 intro. intros zenon_H218 zenon_H206 zenon_H2a6 zenon_H261 zenon_H2b4 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H322 zenon_H295 zenon_H323.
% 49.27/49.45 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H217 | zenon_intro zenon_H24e ].
% 49.27/49.45 apply (zenon_L185_); trivial.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H227 | zenon_intro zenon_H24f ].
% 49.27/49.45 apply (zenon_L235_); trivial.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H237 | zenon_intro zenon_H240 ].
% 49.27/49.45 apply (zenon_L189_); trivial.
% 49.27/49.45 apply (zenon_L340_); trivial.
% 49.27/49.45 (* end of lemma zenon_L419_ *)
% 49.27/49.45 assert (zenon_L420_ : ((op2 (e23) (e21)) = (e20)) -> ((op2 (e20) (e22)) = (e23)) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((e20) = (e21))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (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) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((e21) = (e22))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((e21) = (e23))) -> (~((e20) = (e23))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((e22) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e22)) = (e21)) -> ((op2 (e22) (e23)) = (e22)) -> False).
% 49.27/49.45 do 0 intro. intros zenon_H305 zenon_H1d1 zenon_H342 zenon_H1c9 zenon_H28d zenon_H19d zenon_H2fa zenon_H301 zenon_H2d9 zenon_H2e6 zenon_H1e1 zenon_H277 zenon_H1ad zenon_H307 zenon_H2d4 zenon_H2c0 zenon_H2cb zenon_H253 zenon_H2ff zenon_H282 zenon_H25a zenon_H1dd zenon_H228 zenon_H308 zenon_H213 zenon_H210 zenon_H1f0 zenon_H250 zenon_H1fc zenon_H2f4 zenon_H30a zenon_H1d2 zenon_H1a7 zenon_H2d8 zenon_H291 zenon_H297 zenon_H2af zenon_H1b4 zenon_H298 zenon_H2bc zenon_H285 zenon_H1f5 zenon_H2ce zenon_H205 zenon_H2fc zenon_H2da zenon_H28b zenon_H1c4 zenon_H2e5 zenon_H1bd zenon_H1ba zenon_H2f2 zenon_H2e4 zenon_H2a5 zenon_H241 zenon_H19b zenon_H1a6 zenon_H274 zenon_H264 zenon_H336 zenon_H33a zenon_H218 zenon_H261 zenon_H2b4 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H322 zenon_H295 zenon_H323.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H2b0 ].
% 49.27/49.45 apply (zenon_L160_); trivial.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H256 | zenon_intro zenon_H2b1 ].
% 49.27/49.45 apply (zenon_L335_); trivial.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H229 | zenon_intro zenon_H2a6 ].
% 49.27/49.45 apply (zenon_L219_); trivial.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H342); [ zenon_intro zenon_H2f1 | zenon_intro zenon_H343 ].
% 49.27/49.45 apply (zenon_L306_); trivial.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H343); [ zenon_intro zenon_H260 | zenon_intro zenon_H344 ].
% 49.27/49.45 apply (zenon_L361_); trivial.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H344); [ zenon_intro zenon_H28a | zenon_intro zenon_H206 ].
% 49.27/49.45 apply (zenon_L402_); trivial.
% 49.27/49.45 apply (zenon_L419_); trivial.
% 49.27/49.45 (* end of lemma zenon_L420_ *)
% 49.27/49.45 assert (zenon_L421_ : (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e23) (e22)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e21)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (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) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e22) = (e23))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (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)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (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 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (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 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((e20) = (e21))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (e20) (e22)) = (e23)) -> ((op2 (e23) (e21)) = (e20)) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False).
% 49.27/49.45 do 0 intro. intros zenon_H325 zenon_H295 zenon_H322 zenon_H238 zenon_H1e6 zenon_H261 zenon_H218 zenon_H33a zenon_H336 zenon_H264 zenon_H274 zenon_H1a6 zenon_H241 zenon_H2a5 zenon_H2e4 zenon_H2f2 zenon_H1ba zenon_H1bd zenon_H2e5 zenon_H1c4 zenon_H28b zenon_H2da zenon_H2fc zenon_H205 zenon_H2ce zenon_H1f5 zenon_H285 zenon_H2bc zenon_H298 zenon_H2af zenon_H297 zenon_H291 zenon_H2d8 zenon_H1a7 zenon_H1d2 zenon_H30a zenon_H2f4 zenon_H1fc zenon_H250 zenon_H1f0 zenon_H210 zenon_H213 zenon_H308 zenon_H228 zenon_H1dd zenon_H25a zenon_H282 zenon_H2ff zenon_H253 zenon_H2cb zenon_H2c0 zenon_H2d4 zenon_H307 zenon_H1ad zenon_H277 zenon_H1e1 zenon_H2e6 zenon_H2d9 zenon_H301 zenon_H2fa zenon_H19d zenon_H28d zenon_H1c9 zenon_H342 zenon_H1d1 zenon_H305 zenon_H31f zenon_H331 zenon_H194 zenon_H29c zenon_H2b4 zenon_H19e zenon_H14 zenon_H19b zenon_H1b4.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H28a | zenon_intro zenon_H326 ].
% 49.27/49.45 apply (zenon_L418_); trivial.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H258 | zenon_intro zenon_H327 ].
% 49.27/49.45 apply (zenon_L336_); trivial.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H323 | zenon_intro zenon_H242 ].
% 49.27/49.45 apply (zenon_L420_); trivial.
% 49.27/49.45 apply (zenon_L391_); trivial.
% 49.27/49.45 (* end of lemma zenon_L421_ *)
% 49.27/49.45 assert (zenon_L422_ : (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e22) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((op2 (e23) (e21)) = (e23)) -> ((op2 (e23) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (e21)) = (e20)) -> ((op2 (e22) (e20)) = (e21)) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e21) (e20)) = (e23)) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> False).
% 49.27/49.45 do 0 intro. intros zenon_H2cb zenon_H28b zenon_H2c0 zenon_H256 zenon_H314 zenon_H2fa zenon_H1ad zenon_H1da zenon_H30d zenon_H1d1 zenon_H297 zenon_H33a zenon_H336 zenon_H264 zenon_H28a zenon_H274 zenon_H19e zenon_H1a6 zenon_H19b zenon_H14 zenon_H241.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H206 | zenon_intro zenon_H2cc ].
% 49.27/49.45 apply (zenon_L215_); trivial.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H2bf | zenon_intro zenon_H2cd ].
% 49.27/49.45 apply (zenon_L245_); trivial.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H275 | zenon_intro zenon_H2a6 ].
% 49.27/49.45 apply (zenon_L407_); trivial.
% 49.27/49.45 apply (zenon_L402_); trivial.
% 49.27/49.45 (* end of lemma zenon_L422_ *)
% 49.27/49.45 assert (zenon_L423_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e22) (e20)) = (e21)) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e23)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e21) (e20)) = (e23)) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> False).
% 49.27/49.45 do 0 intro. intros zenon_H2af zenon_H1b4 zenon_H30d zenon_H1da zenon_H1ad zenon_H2fa zenon_H314 zenon_H2c0 zenon_H28b zenon_H2cb zenon_H1d1 zenon_H297 zenon_H33a zenon_H336 zenon_H264 zenon_H28a zenon_H274 zenon_H19e zenon_H1a6 zenon_H19b zenon_H14 zenon_H241.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H2b0 ].
% 49.27/49.45 apply (zenon_L160_); trivial.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H256 | zenon_intro zenon_H2b1 ].
% 49.27/49.45 apply (zenon_L422_); trivial.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H229 | zenon_intro zenon_H2a6 ].
% 49.27/49.45 apply (zenon_L219_); trivial.
% 49.27/49.45 apply (zenon_L402_); trivial.
% 49.27/49.45 (* end of lemma zenon_L423_ *)
% 49.27/49.45 assert (zenon_L424_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((e20) = (e22))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> ((op2 (e21) (e21)) = (e20)) -> ((op2 (e23) (e20)) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e21) (e23)) = (e20)) -> (~((e20) = (e21))) -> False).
% 49.27/49.45 do 0 intro. intros zenon_H2d9 zenon_H19b zenon_H1ad zenon_H1f0 zenon_H298 zenon_H291 zenon_H14 zenon_H213 zenon_H297 zenon_H1d1 zenon_H1da zenon_H20c zenon_H1b4 zenon_H2da zenon_H261 zenon_H1c9.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H2df ].
% 49.27/49.45 apply (zenon_L170_); trivial.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H1db | zenon_intro zenon_H2e0 ].
% 49.27/49.45 apply (zenon_L171_); trivial.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1de | zenon_intro zenon_H225 ].
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H1ed | zenon_intro zenon_H2e1 ].
% 49.27/49.45 apply (zenon_L383_); trivial.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H1ef | zenon_intro zenon_H2e2 ].
% 49.27/49.45 apply (zenon_L176_); trivial.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H214 | zenon_intro zenon_H258 ].
% 49.27/49.45 apply (zenon_L220_); trivial.
% 49.27/49.45 apply (zenon_L336_); trivial.
% 49.27/49.45 apply (zenon_L199_); trivial.
% 49.27/49.45 (* end of lemma zenon_L424_ *)
% 49.27/49.45 assert (zenon_L425_ : (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> ((op2 (e20) (e21)) = (e21)) -> (~((e20) = (e21))) -> ((op2 (e21) (e23)) = (e20)) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e23) (e20)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((e20) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((e20) = (e23))) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e21) (e20)) = (e23)) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> False).
% 49.27/49.45 do 0 intro. intros zenon_H30a zenon_H1c8 zenon_H1c9 zenon_H261 zenon_H2da zenon_H20c zenon_H213 zenon_H291 zenon_H298 zenon_H1f0 zenon_H1ad zenon_H2d9 zenon_H301 zenon_H2af zenon_H1b4 zenon_H1a7 zenon_H1d1 zenon_H297 zenon_H33a zenon_H336 zenon_H264 zenon_H28a zenon_H274 zenon_H19e zenon_H1a6 zenon_H19b zenon_H14 zenon_H241.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H193 | zenon_intro zenon_H30b ].
% 49.27/49.45 apply (zenon_L166_); trivial.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H30b); [ zenon_intro zenon_H1da | zenon_intro zenon_H30c ].
% 49.27/49.45 apply (zenon_L424_); trivial.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H30c); [ zenon_intro zenon_H302 | zenon_intro zenon_H305 ].
% 49.27/49.45 apply (zenon_L292_); trivial.
% 49.27/49.45 apply (zenon_L418_); trivial.
% 49.27/49.45 (* end of lemma zenon_L425_ *)
% 49.27/49.45 assert (zenon_L426_ : (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e22) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e22) (e20)) = (e21)) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> ((op2 (e20) (e21)) = (e21)) -> (~((e20) = (e21))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e23) (e20)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((e20) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((e20) = (e23))) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e21) (e20)) = (e23)) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> False).
% 49.27/49.45 do 0 intro. intros zenon_H2db zenon_H2cb zenon_H28b zenon_H2c0 zenon_H2fa zenon_H30d zenon_H317 zenon_H25a zenon_H30a zenon_H1c8 zenon_H1c9 zenon_H2da zenon_H20c zenon_H213 zenon_H291 zenon_H298 zenon_H1f0 zenon_H1ad zenon_H2d9 zenon_H301 zenon_H2af zenon_H1b4 zenon_H1a7 zenon_H1d1 zenon_H297 zenon_H33a zenon_H336 zenon_H264 zenon_H28a zenon_H274 zenon_H19e zenon_H1a6 zenon_H19b zenon_H14 zenon_H241.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2dd ].
% 49.27/49.45 apply (zenon_L158_); trivial.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1da | zenon_intro zenon_H2de ].
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H317); [ zenon_intro zenon_H20b | zenon_intro zenon_H318 ].
% 49.27/49.45 apply (zenon_L181_); trivial.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H305 | zenon_intro zenon_H319 ].
% 49.27/49.45 apply (zenon_L418_); trivial.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H290 | zenon_intro zenon_H314 ].
% 49.27/49.45 apply (zenon_L217_); trivial.
% 49.27/49.45 apply (zenon_L423_); trivial.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H25b | zenon_intro zenon_H261 ].
% 49.27/49.45 apply (zenon_L196_); trivial.
% 49.27/49.45 apply (zenon_L425_); trivial.
% 49.27/49.45 (* end of lemma zenon_L426_ *)
% 49.27/49.45 assert (zenon_L427_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> (~((e20) = (e23))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e20) = (e22))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e22)) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((e20) = (e21))) -> ((op2 (e20) (e21)) = (e21)) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False).
% 49.27/49.45 do 0 intro. intros zenon_H1ba zenon_H19d zenon_H241 zenon_H274 zenon_H28a zenon_H264 zenon_H336 zenon_H33a zenon_H297 zenon_H1d1 zenon_H1a7 zenon_H2af zenon_H301 zenon_H2d9 zenon_H1f0 zenon_H298 zenon_H291 zenon_H213 zenon_H20c zenon_H2da zenon_H1c9 zenon_H1c8 zenon_H30a zenon_H25a zenon_H317 zenon_H30d zenon_H2fa zenon_H2c0 zenon_H28b zenon_H2cb zenon_H2db zenon_H1ad zenon_H19e zenon_H14 zenon_H19b zenon_H1b4.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ].
% 49.27/49.45 apply (zenon_L156_); trivial.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ].
% 49.27/49.45 apply (zenon_L426_); trivial.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ].
% 49.27/49.45 apply (zenon_L159_); trivial.
% 49.27/49.45 apply (zenon_L160_); trivial.
% 49.27/49.45 (* end of lemma zenon_L427_ *)
% 49.27/49.45 assert (zenon_L428_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e22) (e20)) = (e21)) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> ((op2 (e20) (e21)) = (e21)) -> (~((e20) = (e21))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e23) (e20)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((e20) = (e22))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> ((op2 (e20) (e23)) = (e22)) -> (~((e22) = (e23))) -> False).
% 49.27/49.45 do 0 intro. intros zenon_H28d zenon_H1d2 zenon_H1b4 zenon_H19b zenon_H14 zenon_H19e zenon_H1ad zenon_H2db zenon_H2cb zenon_H2c0 zenon_H2fa zenon_H30d zenon_H317 zenon_H25a zenon_H30a zenon_H1c8 zenon_H1c9 zenon_H2da zenon_H20c zenon_H213 zenon_H291 zenon_H298 zenon_H1f0 zenon_H2d9 zenon_H301 zenon_H2af zenon_H1a7 zenon_H297 zenon_H33a zenon_H336 zenon_H264 zenon_H274 zenon_H241 zenon_H19d zenon_H1ba zenon_H28a zenon_H28b.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H19f | zenon_intro zenon_H28e ].
% 49.27/49.45 apply (zenon_L156_); trivial.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28f ].
% 49.27/49.45 apply (zenon_L265_); trivial.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H206 ].
% 49.27/49.45 apply (zenon_L427_); trivial.
% 49.27/49.45 apply (zenon_L215_); trivial.
% 49.27/49.45 (* end of lemma zenon_L428_ *)
% 49.27/49.45 assert (zenon_L429_ : (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e22)) = (e21)) -> ((op2 (e22) (e23)) = (e22)) -> False).
% 49.27/49.45 do 0 intro. intros zenon_H218 zenon_H206 zenon_H25a zenon_H214 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H322 zenon_H295 zenon_H323.
% 49.27/49.45 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H217 | zenon_intro zenon_H24e ].
% 49.27/49.45 apply (zenon_L185_); trivial.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H227 | zenon_intro zenon_H24f ].
% 49.27/49.45 apply (zenon_L201_); trivial.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H237 | zenon_intro zenon_H240 ].
% 49.27/49.45 apply (zenon_L189_); trivial.
% 49.27/49.45 apply (zenon_L340_); trivial.
% 49.27/49.45 (* end of lemma zenon_L429_ *)
% 49.27/49.45 assert (zenon_L430_ : (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e22) = (e23))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((e20) = (e23))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e20) = (e22))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e22)) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((e20) = (e21))) -> ((op2 (e20) (e21)) = (e21)) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((e21) = (e23))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((e21) = (e22))) -> ((op2 (e21) (e23)) = (e21)) -> ((op2 (e23) (e22)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e21)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e20) (e23)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False).
% 49.27/49.45 do 0 intro. intros zenon_H325 zenon_H28b zenon_H1ba zenon_H19d zenon_H241 zenon_H274 zenon_H264 zenon_H336 zenon_H33a zenon_H297 zenon_H1a7 zenon_H2af zenon_H301 zenon_H2d9 zenon_H1f0 zenon_H298 zenon_H291 zenon_H213 zenon_H20c zenon_H2da zenon_H1c9 zenon_H1c8 zenon_H30a zenon_H317 zenon_H30d zenon_H2fa zenon_H2c0 zenon_H2cb zenon_H2db zenon_H1ad zenon_H1d2 zenon_H28d zenon_H210 zenon_H225 zenon_H295 zenon_H322 zenon_H238 zenon_H1e6 zenon_H214 zenon_H25a zenon_H206 zenon_H218 zenon_H31f zenon_H331 zenon_H194 zenon_H29c zenon_H2b4 zenon_H19e zenon_H14 zenon_H19b zenon_H1b4.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H28a | zenon_intro zenon_H326 ].
% 49.27/49.45 apply (zenon_L428_); trivial.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H258 | zenon_intro zenon_H327 ].
% 49.27/49.45 apply (zenon_L195_); trivial.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H323 | zenon_intro zenon_H242 ].
% 49.27/49.45 apply (zenon_L429_); trivial.
% 49.27/49.45 apply (zenon_L391_); trivial.
% 49.27/49.45 (* end of lemma zenon_L430_ *)
% 49.27/49.45 assert (zenon_L431_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (e23) (e23)) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((e21) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((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)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((op2 (e21) (e20)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> (~((e20) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((e20) = (e22))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e22)) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((e20) = (e21))) -> ((op2 (e20) (e21)) = (e21)) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e23)) = (e23)) -> False).
% 49.27/49.45 do 0 intro. intros zenon_H342 zenon_H314 zenon_H205 zenon_H1ec zenon_H19d zenon_H2ce zenon_H210 zenon_H250 zenon_H228 zenon_H1da zenon_H308 zenon_H2d4 zenon_H277 zenon_H2e6 zenon_H307 zenon_H253 zenon_H2ff zenon_H1fc zenon_H282 zenon_H31a zenon_H2cf zenon_H1f5 zenon_H1e6 zenon_H2a5 zenon_H2a0 zenon_H29c zenon_H218 zenon_H1dd zenon_H285 zenon_H1d2 zenon_H241 zenon_H14 zenon_H19b zenon_H1a6 zenon_H19e zenon_H264 zenon_H336 zenon_H33a zenon_H297 zenon_H1d1 zenon_H1a7 zenon_H1b4 zenon_H2af zenon_H301 zenon_H2d9 zenon_H1ad zenon_H1f0 zenon_H298 zenon_H291 zenon_H213 zenon_H20c zenon_H2da zenon_H1c9 zenon_H1c8 zenon_H30a zenon_H25a zenon_H317 zenon_H30d zenon_H2fa zenon_H2c0 zenon_H28b zenon_H2cb zenon_H2db zenon_H274 zenon_H275.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H342); [ zenon_intro zenon_H2f1 | zenon_intro zenon_H343 ].
% 49.27/49.45 apply (zenon_L406_); trivial.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H343); [ zenon_intro zenon_H260 | zenon_intro zenon_H344 ].
% 49.27/49.45 apply (zenon_L359_); trivial.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H344); [ zenon_intro zenon_H28a | zenon_intro zenon_H206 ].
% 49.27/49.45 apply (zenon_L426_); trivial.
% 49.27/49.45 apply (zenon_L206_); trivial.
% 49.27/49.45 (* end of lemma zenon_L431_ *)
% 49.27/49.45 assert (zenon_L432_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((e20) = (e23))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((e20) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((e22) = (e23))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e21) = (e22))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (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) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> ((op2 (e20) (e20)) = (e22)) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((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)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((op2 (e21) (e20)) = (e23)) -> ((op2 (e23) (e23)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e22)) = (e21)) -> ((op2 (e22) (e23)) = (e22)) -> False).
% 49.27/49.45 do 0 intro. intros zenon_H342 zenon_H2f2 zenon_H1d2 zenon_H291 zenon_H2b4 zenon_H2a5 zenon_H297 zenon_H1a7 zenon_H2af zenon_H2d4 zenon_H277 zenon_H1dd zenon_H2ce zenon_H31a zenon_H2a0 zenon_H29c zenon_H1c9 zenon_H1f5 zenon_H28b zenon_H2bc zenon_H325 zenon_H210 zenon_H1f0 zenon_H250 zenon_H2b9 zenon_H298 zenon_H213 zenon_H2cf zenon_H28d zenon_H2db zenon_H2d9 zenon_H30a zenon_H308 zenon_H30d zenon_H228 zenon_H31c zenon_H317 zenon_H2ff zenon_H253 zenon_H2c0 zenon_H205 zenon_H2cb zenon_H307 zenon_H2e6 zenon_H301 zenon_H282 zenon_H1fc zenon_H19d zenon_H1ba zenon_H285 zenon_H1ec zenon_H2da zenon_H194 zenon_H195 zenon_H1ad zenon_H1b4 zenon_H2fa zenon_H31f zenon_H328 zenon_H2ed zenon_H241 zenon_H19b zenon_H1a6 zenon_H2a6 zenon_H274 zenon_H264 zenon_H336 zenon_H33a zenon_H218 zenon_H25a zenon_H214 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H322 zenon_H295 zenon_H323.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H342); [ zenon_intro zenon_H2f1 | zenon_intro zenon_H343 ].
% 49.27/49.45 apply (zenon_L264_); trivial.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H343); [ zenon_intro zenon_H260 | zenon_intro zenon_H344 ].
% 49.27/49.45 apply (zenon_L372_); trivial.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H344); [ zenon_intro zenon_H28a | zenon_intro zenon_H206 ].
% 49.27/49.45 apply (zenon_L402_); trivial.
% 49.27/49.45 apply (zenon_L429_); trivial.
% 49.27/49.45 (* end of lemma zenon_L432_ *)
% 49.27/49.45 assert (zenon_L433_ : ((op2 (e23) (e22)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e21)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e20) (e20)) = (e22)) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (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) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> (~((e21) = (e22))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((e22) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((e20) = (e21))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((e21) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (e23) (e23)) = (e20)) -> ((op2 (e21) (e21)) = (e20)) -> ((op2 (e20) (e22)) = (e23)) -> ((op2 (e23) (e20)) = (e22)) -> ((op2 (e20) (e21)) = (e21)) -> ((op2 (e21) (e23)) = (e21)) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False).
% 49.27/49.45 do 0 intro. intros zenon_H295 zenon_H322 zenon_H238 zenon_H1e6 zenon_H214 zenon_H25a zenon_H218 zenon_H33a zenon_H336 zenon_H264 zenon_H274 zenon_H1a6 zenon_H241 zenon_H2ed zenon_H328 zenon_H2fa zenon_H1ad zenon_H195 zenon_H2da zenon_H1ec zenon_H285 zenon_H1ba zenon_H19d zenon_H1fc zenon_H282 zenon_H301 zenon_H2e6 zenon_H307 zenon_H2cb zenon_H205 zenon_H2c0 zenon_H253 zenon_H2ff zenon_H317 zenon_H31c zenon_H228 zenon_H30d zenon_H308 zenon_H30a zenon_H2d9 zenon_H2db zenon_H28d zenon_H2cf zenon_H213 zenon_H298 zenon_H2b9 zenon_H250 zenon_H1f0 zenon_H210 zenon_H325 zenon_H2bc zenon_H28b zenon_H1f5 zenon_H1c9 zenon_H2a0 zenon_H31a zenon_H2ce zenon_H1dd zenon_H277 zenon_H2d4 zenon_H2af zenon_H1a7 zenon_H297 zenon_H2a5 zenon_H291 zenon_H1d2 zenon_H2f2 zenon_H342 zenon_H314 zenon_H1da zenon_H1d1 zenon_H20c zenon_H1c8 zenon_H225 zenon_H31f zenon_H331 zenon_H194 zenon_H29c zenon_H2b4 zenon_H19e zenon_H14 zenon_H19b zenon_H1b4.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H28a | zenon_intro zenon_H326 ].
% 49.27/49.45 apply (zenon_L426_); trivial.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H258 | zenon_intro zenon_H327 ].
% 49.27/49.45 apply (zenon_L195_); trivial.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H323 | zenon_intro zenon_H242 ].
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H206 | zenon_intro zenon_H2cc ].
% 49.27/49.45 apply (zenon_L430_); trivial.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H2bf | zenon_intro zenon_H2cd ].
% 49.27/49.45 apply (zenon_L245_); trivial.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H275 | zenon_intro zenon_H2a6 ].
% 49.27/49.45 apply (zenon_L431_); trivial.
% 49.27/49.45 apply (zenon_L432_); trivial.
% 49.27/49.45 apply (zenon_L391_); trivial.
% 49.27/49.45 (* end of lemma zenon_L433_ *)
% 49.27/49.45 assert (zenon_L434_ : (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e20)) = (e22)) -> ((op2 (e23) (e21)) = (e22)) -> False).
% 49.27/49.45 do 0 intro. intros zenon_H2fa zenon_H20c zenon_H20f.
% 49.27/49.45 cut (((op2 (e23) (e20)) = (e22)) = ((op2 (e23) (e20)) = (op2 (e23) (e21)))).
% 49.27/49.45 intro zenon_D_pnotp.
% 49.27/49.45 apply zenon_H2fa.
% 49.27/49.45 rewrite <- zenon_D_pnotp.
% 49.27/49.45 exact zenon_H20c.
% 49.27/49.45 cut (((e22) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2bd].
% 49.27/49.45 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1b6].
% 49.27/49.45 congruence.
% 49.27/49.45 apply zenon_H1b6. apply refl_equal.
% 49.27/49.45 apply zenon_H2bd. apply sym_equal. exact zenon_H20f.
% 49.27/49.45 (* end of lemma zenon_L434_ *)
% 49.27/49.45 assert (zenon_L435_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e23) (e21)) = (e22)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False).
% 49.27/49.45 do 0 intro. intros zenon_H31f zenon_H331 zenon_H194 zenon_H29c zenon_H20f zenon_H2fa zenon_H19e zenon_H14 zenon_H19b zenon_H1b4.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H31f); [ zenon_intro zenon_H20b | zenon_intro zenon_H320 ].
% 49.27/49.45 apply (zenon_L382_); trivial.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H320); [ zenon_intro zenon_H29b | zenon_intro zenon_H321 ].
% 49.27/49.45 apply (zenon_L222_); trivial.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H321); [ zenon_intro zenon_H20c | zenon_intro zenon_H1b3 ].
% 49.27/49.45 apply (zenon_L434_); trivial.
% 49.27/49.45 apply (zenon_L160_); trivial.
% 49.27/49.45 (* end of lemma zenon_L435_ *)
% 49.27/49.45 assert (zenon_L436_ : ((op2 (e21) (e23)) = (e21)) -> ((op2 (e20) (e21)) = (e21)) -> ((op2 (e20) (e22)) = (e23)) -> ((op2 (e21) (e21)) = (e20)) -> ((op2 (e23) (e23)) = (e20)) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((e20) = (e23))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((e22) = (e23))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e21) = (e22))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (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) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (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 (e20) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e21)) = (e23)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e22)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False).
% 49.27/49.45 do 0 intro. intros zenon_H225 zenon_H1c8 zenon_H1d1 zenon_H1da zenon_H314 zenon_H342 zenon_H2f2 zenon_H1d2 zenon_H291 zenon_H2a5 zenon_H297 zenon_H1a7 zenon_H2af zenon_H2d4 zenon_H277 zenon_H1dd zenon_H2ce zenon_H31a zenon_H2a0 zenon_H1c9 zenon_H1f5 zenon_H28b zenon_H2bc zenon_H325 zenon_H210 zenon_H1f0 zenon_H250 zenon_H2b9 zenon_H298 zenon_H2cf zenon_H28d zenon_H2db zenon_H2d9 zenon_H30a zenon_H308 zenon_H30d zenon_H228 zenon_H31c zenon_H317 zenon_H2ff zenon_H253 zenon_H2c0 zenon_H205 zenon_H2cb zenon_H307 zenon_H2e6 zenon_H301 zenon_H282 zenon_H1fc zenon_H19d zenon_H1ba zenon_H285 zenon_H1ec zenon_H2da zenon_H195 zenon_H1ad zenon_H328 zenon_H2ed zenon_H241 zenon_H1a6 zenon_H274 zenon_H264 zenon_H336 zenon_H33a zenon_H218 zenon_H25a zenon_H1e6 zenon_H238 zenon_H322 zenon_H295 zenon_H2fa zenon_H214 zenon_H213 zenon_H31f zenon_H331 zenon_H194 zenon_H29c zenon_H2b4 zenon_H19e zenon_H14 zenon_H19b zenon_H1b4.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H20c | zenon_intro zenon_H251 ].
% 49.27/49.45 apply (zenon_L433_); trivial.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H20f | zenon_intro zenon_H252 ].
% 49.27/49.45 apply (zenon_L435_); trivial.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H215 | zenon_intro zenon_H242 ].
% 49.27/49.45 apply (zenon_L183_); trivial.
% 49.27/49.45 apply (zenon_L391_); trivial.
% 49.27/49.45 (* end of lemma zenon_L436_ *)
% 49.27/49.45 assert (zenon_L437_ : (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (e21) (e23)) = (e21)) -> ((op2 (e20) (e21)) = (e21)) -> ((op2 (e20) (e22)) = (e23)) -> ((op2 (e21) (e21)) = (e20)) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((e20) = (e23))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((e22) = (e23))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e21) = (e22))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (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) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (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 (e20) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e21)) = (e23)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e22)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False).
% 49.27/49.45 do 0 intro. intros zenon_H2e4 zenon_H1bd zenon_H2e5 zenon_H1c4 zenon_H2fc zenon_H2d8 zenon_H2f4 zenon_H1e1 zenon_H348 zenon_H225 zenon_H1c8 zenon_H1d1 zenon_H1da zenon_H342 zenon_H2f2 zenon_H1d2 zenon_H291 zenon_H2a5 zenon_H297 zenon_H1a7 zenon_H2af zenon_H2d4 zenon_H277 zenon_H1dd zenon_H2ce zenon_H31a zenon_H2a0 zenon_H1c9 zenon_H1f5 zenon_H28b zenon_H2bc zenon_H325 zenon_H210 zenon_H1f0 zenon_H250 zenon_H2b9 zenon_H298 zenon_H2cf zenon_H28d zenon_H2db zenon_H2d9 zenon_H30a zenon_H308 zenon_H30d zenon_H228 zenon_H31c zenon_H317 zenon_H2ff zenon_H253 zenon_H2c0 zenon_H205 zenon_H2cb zenon_H307 zenon_H2e6 zenon_H301 zenon_H282 zenon_H1fc zenon_H19d zenon_H1ba zenon_H285 zenon_H1ec zenon_H2da zenon_H195 zenon_H1ad zenon_H328 zenon_H2ed zenon_H241 zenon_H1a6 zenon_H274 zenon_H264 zenon_H336 zenon_H33a zenon_H218 zenon_H25a zenon_H1e6 zenon_H238 zenon_H322 zenon_H295 zenon_H2fa zenon_H214 zenon_H213 zenon_H31f zenon_H331 zenon_H194 zenon_H29c zenon_H2b4 zenon_H19e zenon_H14 zenon_H19b zenon_H1b4.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H317); [ zenon_intro zenon_H20b | zenon_intro zenon_H318 ].
% 49.27/49.45 apply (zenon_L382_); trivial.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H305 | zenon_intro zenon_H319 ].
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H348); [ zenon_intro zenon_H2f1 | zenon_intro zenon_H349 ].
% 49.27/49.45 apply (zenon_L264_); trivial.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H349); [ zenon_intro zenon_H261 | zenon_intro zenon_H34a ].
% 49.27/49.45 apply (zenon_L421_); trivial.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H335 | zenon_intro zenon_H314 ].
% 49.27/49.45 apply (zenon_L386_); trivial.
% 49.27/49.45 apply (zenon_L436_); trivial.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H290 | zenon_intro zenon_H314 ].
% 49.27/49.45 apply (zenon_L217_); trivial.
% 49.27/49.45 apply (zenon_L436_); trivial.
% 49.27/49.45 (* end of lemma zenon_L437_ *)
% 49.27/49.45 assert (zenon_L438_ : (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (e21) (e23)) = (e21)) -> ((op2 (e20) (e21)) = (e21)) -> ((op2 (e20) (e22)) = (e23)) -> ((op2 (e21) (e21)) = (e20)) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((e20) = (e23))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((e22) = (e23))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e21) = (e22))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (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) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (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 (e20) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e21)) = (e23)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False).
% 49.27/49.45 do 0 intro. intros zenon_H2e4 zenon_H1bd zenon_H2e5 zenon_H1c4 zenon_H2fc zenon_H2d8 zenon_H2f4 zenon_H1e1 zenon_H348 zenon_H225 zenon_H1c8 zenon_H1d1 zenon_H1da zenon_H342 zenon_H2f2 zenon_H1d2 zenon_H291 zenon_H2a5 zenon_H297 zenon_H1a7 zenon_H2af zenon_H2d4 zenon_H277 zenon_H1dd zenon_H2ce zenon_H31a zenon_H2a0 zenon_H1c9 zenon_H1f5 zenon_H28b zenon_H2bc zenon_H325 zenon_H210 zenon_H1f0 zenon_H250 zenon_H2b9 zenon_H298 zenon_H2cf zenon_H28d zenon_H2db zenon_H2d9 zenon_H30a zenon_H308 zenon_H30d zenon_H228 zenon_H31c zenon_H317 zenon_H2ff zenon_H253 zenon_H2c0 zenon_H205 zenon_H2cb zenon_H307 zenon_H2e6 zenon_H301 zenon_H282 zenon_H1fc zenon_H19d zenon_H1ba zenon_H285 zenon_H1ec zenon_H2da zenon_H195 zenon_H1ad zenon_H328 zenon_H2ed zenon_H241 zenon_H1a6 zenon_H274 zenon_H264 zenon_H336 zenon_H33a zenon_H218 zenon_H25a zenon_H1e6 zenon_H238 zenon_H322 zenon_H2fa zenon_H214 zenon_H213 zenon_H31f zenon_H331 zenon_H194 zenon_H29c zenon_H2b4 zenon_H19e zenon_H14 zenon_H19b zenon_H1b4.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H2d2 ].
% 49.27/49.45 apply (zenon_L169_); trivial.
% 49.27/49.45 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H1de | zenon_intro zenon_H2d3 ].
% 49.27/49.46 apply (zenon_L220_); trivial.
% 49.27/49.46 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H295 ].
% 49.27/49.46 apply (zenon_L240_); trivial.
% 49.27/49.46 apply (zenon_L437_); trivial.
% 49.27/49.46 (* end of lemma zenon_L438_ *)
% 49.27/49.46 assert (zenon_L439_ : (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e22) (e20)) = (e21)) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> ((op2 (e20) (e21)) = (e21)) -> (~((e20) = (e21))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((e20) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((e20) = (e23))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e20)) = (e23)) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((e21) = (e23))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e21) = (e22))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e23) (e23)) = (e20)) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((e22) = (e23))) -> ((op2 (e23) (e21)) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e23)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> False).
% 49.27/49.46 do 0 intro. intros zenon_H274 zenon_H2db zenon_H2cb zenon_H2c0 zenon_H2fa zenon_H30d zenon_H317 zenon_H30a zenon_H1c8 zenon_H1c9 zenon_H2da zenon_H291 zenon_H298 zenon_H1f0 zenon_H1ad zenon_H2d9 zenon_H301 zenon_H2af zenon_H1b4 zenon_H1a7 zenon_H33a zenon_H336 zenon_H1a6 zenon_H19b zenon_H1d2 zenon_H285 zenon_H1dd zenon_H218 zenon_H29c zenon_H2a0 zenon_H2a5 zenon_H1e6 zenon_H1f5 zenon_H2cf zenon_H31a zenon_H282 zenon_H1fc zenon_H2ff zenon_H253 zenon_H307 zenon_H2e6 zenon_H277 zenon_H2d4 zenon_H308 zenon_H1da zenon_H228 zenon_H250 zenon_H210 zenon_H2ce zenon_H19d zenon_H1ec zenon_H205 zenon_H314 zenon_H342 zenon_H28b zenon_H256 zenon_H213 zenon_H241 zenon_H25a zenon_H214 zenon_H264 zenon_H14 zenon_H275 zenon_H19e zenon_H1d1 zenon_H297.
% 49.27/49.46 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H20c | zenon_intro zenon_H251 ].
% 49.27/49.46 apply (zenon_L431_); trivial.
% 49.27/49.46 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H20f | zenon_intro zenon_H252 ].
% 49.27/49.46 apply (zenon_L241_); trivial.
% 49.27/49.46 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H215 | zenon_intro zenon_H242 ].
% 49.27/49.46 apply (zenon_L183_); trivial.
% 49.27/49.46 apply (zenon_L248_); trivial.
% 49.27/49.46 (* end of lemma zenon_L439_ *)
% 49.27/49.46 assert (zenon_L440_ : (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e22) (e20)) = (e21)) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> ((op2 (e20) (e21)) = (e21)) -> (~((e20) = (e21))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((e20) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((e20) = (e23))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e20)) = (e23)) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((e21) = (e23))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e21) = (e22))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((e22) = (e23))) -> ((op2 (e23) (e21)) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e23)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> False).
% 49.27/49.46 do 0 intro. intros zenon_H274 zenon_H2db zenon_H2cb zenon_H2c0 zenon_H2fa zenon_H30d zenon_H317 zenon_H30a zenon_H1c8 zenon_H1c9 zenon_H2da zenon_H291 zenon_H298 zenon_H1f0 zenon_H1ad zenon_H2d9 zenon_H301 zenon_H2af zenon_H1b4 zenon_H1a7 zenon_H33a zenon_H336 zenon_H1a6 zenon_H19b zenon_H1d2 zenon_H285 zenon_H1dd zenon_H218 zenon_H29c zenon_H2a0 zenon_H2a5 zenon_H1e6 zenon_H1f5 zenon_H2cf zenon_H31a zenon_H282 zenon_H1fc zenon_H2ff zenon_H253 zenon_H307 zenon_H2e6 zenon_H277 zenon_H2d4 zenon_H308 zenon_H1da zenon_H228 zenon_H250 zenon_H210 zenon_H2ce zenon_H19d zenon_H1ec zenon_H205 zenon_H342 zenon_H28b zenon_H256 zenon_H213 zenon_H241 zenon_H25a zenon_H214 zenon_H264 zenon_H14 zenon_H275 zenon_H19e zenon_H1d1 zenon_H297.
% 49.27/49.46 apply (zenon_or_s _ _ zenon_H317); [ zenon_intro zenon_H20b | zenon_intro zenon_H318 ].
% 49.27/49.46 apply (zenon_L249_); trivial.
% 49.27/49.46 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H305 | zenon_intro zenon_H319 ].
% 49.27/49.46 apply (zenon_L335_); trivial.
% 49.27/49.46 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H290 | zenon_intro zenon_H314 ].
% 49.27/49.46 apply (zenon_L217_); trivial.
% 49.27/49.46 apply (zenon_L439_); trivial.
% 49.27/49.46 (* end of lemma zenon_L440_ *)
% 49.27/49.46 assert (zenon_L441_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((e20) = (e22))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e20) (e20)) = (e22)) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e21) (e23)) = (e20)) -> (~((e20) = (e21))) -> False).
% 49.27/49.46 do 0 intro. intros zenon_H2d9 zenon_H19b zenon_H1ad zenon_H1f0 zenon_H298 zenon_H291 zenon_H14 zenon_H213 zenon_H297 zenon_H1d1 zenon_H1da zenon_H19d zenon_H1ec zenon_H2da zenon_H261 zenon_H1c9.
% 49.27/49.46 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H2df ].
% 49.27/49.46 apply (zenon_L170_); trivial.
% 49.27/49.46 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H1db | zenon_intro zenon_H2e0 ].
% 49.27/49.46 apply (zenon_L171_); trivial.
% 49.27/49.46 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1de | zenon_intro zenon_H225 ].
% 49.27/49.46 apply (zenon_L360_); trivial.
% 49.27/49.46 apply (zenon_L199_); trivial.
% 49.27/49.46 (* end of lemma zenon_L441_ *)
% 49.27/49.46 assert (zenon_L442_ : ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> ((op2 (e20) (e22)) = (e23)) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((e20) = (e21))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (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) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((e21) = (e22))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((e21) = (e23))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((e22) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> ((op2 (e23) (e21)) = (e20)) -> (~((e20) = (e23))) -> False).
% 49.27/49.46 do 0 intro. intros zenon_H1c8 zenon_H1b4 zenon_H19b zenon_H14 zenon_H19e zenon_H2b4 zenon_H29c zenon_H194 zenon_H331 zenon_H31f zenon_H1d1 zenon_H342 zenon_H1c9 zenon_H28d zenon_H19d zenon_H2fa zenon_H301 zenon_H2d9 zenon_H2e6 zenon_H1e1 zenon_H277 zenon_H1ad zenon_H307 zenon_H2d4 zenon_H2c0 zenon_H2cb zenon_H253 zenon_H2ff zenon_H282 zenon_H25a zenon_H1dd zenon_H228 zenon_H308 zenon_H213 zenon_H210 zenon_H1f0 zenon_H250 zenon_H1fc zenon_H2f4 zenon_H30a zenon_H1d2 zenon_H2d8 zenon_H291 zenon_H297 zenon_H2af zenon_H298 zenon_H2bc zenon_H285 zenon_H1f5 zenon_H2ce zenon_H205 zenon_H2fc zenon_H2da zenon_H28b zenon_H1c4 zenon_H2e5 zenon_H1bd zenon_H1ba zenon_H2f2 zenon_H2e4 zenon_H2a5 zenon_H241 zenon_H1a6 zenon_H274 zenon_H264 zenon_H336 zenon_H33a zenon_H218 zenon_H261 zenon_H1e6 zenon_H322 zenon_H325 zenon_H2b9 zenon_H2cf zenon_H305 zenon_H1a7.
% 49.27/49.46 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d0 ].
% 49.27/49.46 apply (zenon_L265_); trivial.
% 49.27/49.46 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H2d1 ].
% 49.27/49.46 apply (zenon_L177_); trivial.
% 49.27/49.46 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H238 | zenon_intro zenon_H256 ].
% 49.27/49.46 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H2d2 ].
% 49.27/49.46 apply (zenon_L169_); trivial.
% 49.27/49.46 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H1de | zenon_intro zenon_H2d3 ].
% 49.27/49.46 apply (zenon_L405_); trivial.
% 49.27/49.46 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H295 ].
% 49.27/49.46 apply (zenon_L240_); trivial.
% 49.27/49.46 apply (zenon_L421_); trivial.
% 49.27/49.46 apply (zenon_L335_); trivial.
% 49.27/49.46 (* end of lemma zenon_L442_ *)
% 49.27/49.46 assert (zenon_L443_ : (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (e20) (e20)) = (e22)) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> ((op2 (e20) (e22)) = (e23)) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((e20) = (e21))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (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) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((e21) = (e22))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((e21) = (e23))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((e22) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((e20) = (e23))) -> False).
% 49.27/49.46 do 0 intro. intros zenon_H195 zenon_H1ec zenon_H1c8 zenon_H1b4 zenon_H19b zenon_H14 zenon_H19e zenon_H2b4 zenon_H29c zenon_H194 zenon_H331 zenon_H31f zenon_H1d1 zenon_H342 zenon_H1c9 zenon_H28d zenon_H19d zenon_H2fa zenon_H301 zenon_H2d9 zenon_H2e6 zenon_H1e1 zenon_H277 zenon_H1ad zenon_H307 zenon_H2d4 zenon_H2c0 zenon_H2cb zenon_H253 zenon_H2ff zenon_H282 zenon_H25a zenon_H1dd zenon_H228 zenon_H308 zenon_H213 zenon_H210 zenon_H1f0 zenon_H250 zenon_H1fc zenon_H2f4 zenon_H30a zenon_H1d2 zenon_H2d8 zenon_H291 zenon_H297 zenon_H2af zenon_H298 zenon_H2bc zenon_H285 zenon_H1f5 zenon_H2ce zenon_H205 zenon_H2fc zenon_H2da zenon_H28b zenon_H1c4 zenon_H2e5 zenon_H1bd zenon_H1ba zenon_H2f2 zenon_H2e4 zenon_H2a5 zenon_H241 zenon_H1a6 zenon_H274 zenon_H264 zenon_H336 zenon_H33a zenon_H218 zenon_H261 zenon_H1e6 zenon_H322 zenon_H325 zenon_H2b9 zenon_H2cf zenon_H1a7.
% 49.27/49.46 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H193 | zenon_intro zenon_H30b ].
% 49.27/49.46 apply (zenon_L154_); trivial.
% 49.27/49.46 apply (zenon_or_s _ _ zenon_H30b); [ zenon_intro zenon_H1da | zenon_intro zenon_H30c ].
% 49.27/49.46 apply (zenon_L441_); trivial.
% 49.27/49.46 apply (zenon_or_s _ _ zenon_H30c); [ zenon_intro zenon_H302 | zenon_intro zenon_H305 ].
% 49.27/49.46 apply (zenon_L292_); trivial.
% 49.27/49.46 apply (zenon_L442_); trivial.
% 49.27/49.46 (* end of lemma zenon_L443_ *)
% 49.27/49.46 assert (zenon_L444_ : (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> False).
% 49.27/49.46 do 0 intro. intros zenon_H277 zenon_H1ad zenon_H14 zenon_H1ce zenon_H307 zenon_H19b zenon_H19e zenon_H205 zenon_H274 zenon_H206.
% 49.27/49.46 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H1ac | zenon_intro zenon_H278 ].
% 49.27/49.46 apply (zenon_L159_); trivial.
% 49.27/49.46 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H238 | zenon_intro zenon_H279 ].
% 49.27/49.46 apply (zenon_L296_); trivial.
% 49.27/49.46 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H203 | zenon_intro zenon_H275 ].
% 49.27/49.46 apply (zenon_L180_); trivial.
% 49.27/49.46 apply (zenon_L206_); trivial.
% 49.27/49.46 (* end of lemma zenon_L444_ *)
% 49.27/49.46 assert (zenon_L445_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e21) (e20)) = (e22)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False).
% 49.27/49.46 do 0 intro. intros zenon_H250 zenon_H1ed zenon_H2fa zenon_H1fc zenon_H213 zenon_H1dd zenon_H1d0 zenon_H25a zenon_H282 zenon_H31f zenon_H331 zenon_H194 zenon_H29c zenon_H2b4 zenon_H19e zenon_H14 zenon_H19b zenon_H1b4.
% 49.27/49.46 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H20c | zenon_intro zenon_H251 ].
% 49.27/49.46 apply (zenon_L383_); trivial.
% 49.27/49.46 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H20f | zenon_intro zenon_H252 ].
% 49.27/49.46 apply (zenon_L435_); trivial.
% 49.27/49.46 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H215 | zenon_intro zenon_H242 ].
% 49.27/49.46 apply (zenon_L212_); trivial.
% 49.27/49.46 apply (zenon_L391_); trivial.
% 49.27/49.46 (* end of lemma zenon_L445_ *)
% 49.27/49.46 assert (zenon_L446_ : (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e23)) = (e20)) -> ((op2 (e23) (e22)) = (e23)) -> False).
% 49.27/49.46 do 0 intro. intros zenon_H218 zenon_H206 zenon_H25a zenon_H214 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H308 zenon_H314 zenon_H229.
% 49.27/49.46 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H217 | zenon_intro zenon_H24e ].
% 49.27/49.46 apply (zenon_L185_); trivial.
% 49.27/49.46 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H227 | zenon_intro zenon_H24f ].
% 49.27/49.46 apply (zenon_L201_); trivial.
% 49.27/49.46 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H237 | zenon_intro zenon_H240 ].
% 49.27/49.46 apply (zenon_L189_); trivial.
% 49.27/49.46 apply (zenon_L314_); trivial.
% 49.27/49.46 (* end of lemma zenon_L446_ *)
% 49.27/49.46 assert (zenon_L447_ : (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e20) (e23)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((e20) = (e21))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (e23) (e21)) = (e21)) -> (~((e21) = (e23))) -> False).
% 49.27/49.46 do 0 intro. intros zenon_H2ce zenon_H274 zenon_H307 zenon_H1ad zenon_H277 zenon_H1f5 zenon_H308 zenon_H19e zenon_H14 zenon_H1e6 zenon_H214 zenon_H25a zenon_H206 zenon_H218 zenon_H291 zenon_H1c9 zenon_H253 zenon_H1d0 zenon_H1fc zenon_H19b zenon_H205 zenon_H250 zenon_H1f0 zenon_H210 zenon_H213 zenon_H225 zenon_H228 zenon_H241 zenon_H317 zenon_H20e zenon_H1d2.
% 49.27/49.46 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d0 ].
% 49.27/49.46 apply (zenon_L444_); trivial.
% 49.27/49.46 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H2d1 ].
% 49.27/49.46 apply (zenon_L177_); trivial.
% 49.27/49.46 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H238 | zenon_intro zenon_H256 ].
% 49.27/49.46 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H254 ].
% 49.27/49.46 apply (zenon_L169_); trivial.
% 49.27/49.46 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1fb | zenon_intro zenon_H255 ].
% 49.27/49.46 apply (zenon_L178_); trivial.
% 49.27/49.46 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H203 | zenon_intro zenon_H229 ].
% 49.27/49.46 apply (zenon_L180_); trivial.
% 49.27/49.46 apply (zenon_or_s _ _ zenon_H317); [ zenon_intro zenon_H20b | zenon_intro zenon_H318 ].
% 49.27/49.46 apply (zenon_L193_); trivial.
% 49.27/49.46 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H305 | zenon_intro zenon_H319 ].
% 49.27/49.46 apply (zenon_L312_); trivial.
% 49.27/49.46 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H290 | zenon_intro zenon_H314 ].
% 49.27/49.46 apply (zenon_L217_); trivial.
% 49.27/49.46 apply (zenon_L446_); trivial.
% 49.27/49.46 apply (zenon_L194_); trivial.
% 49.27/49.46 (* end of lemma zenon_L447_ *)
% 49.27/49.46 assert (zenon_L448_ : (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((e20) = (e23))) -> ((op2 (e21) (e20)) = (e23)) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((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) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e21) = (e23))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> False).
% 49.27/49.46 do 0 intro. intros zenon_H2db zenon_H1a7 zenon_H1a6 zenon_H2ce zenon_H307 zenon_H1f5 zenon_H308 zenon_H291 zenon_H250 zenon_H1f0 zenon_H241 zenon_H317 zenon_H2fa zenon_H31f zenon_H331 zenon_H194 zenon_H29c zenon_H2b4 zenon_H1b4 zenon_H2da zenon_H1e1 zenon_H2e6 zenon_H2d9 zenon_H285 zenon_H210 zenon_H274 zenon_H271 zenon_H1d2 zenon_H1c9 zenon_H264 zenon_H218 zenon_H1e6 zenon_H228 zenon_H1ad zenon_H277 zenon_H205 zenon_H206 zenon_H253 zenon_H282 zenon_H25a zenon_H1d0 zenon_H1dd zenon_H213 zenon_H19e zenon_H14 zenon_H19b zenon_H1fc.
% 49.27/49.46 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2dd ].
% 49.27/49.46 apply (zenon_L158_); trivial.
% 49.27/49.46 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1da | zenon_intro zenon_H2de ].
% 49.27/49.46 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H2df ].
% 49.27/49.46 apply (zenon_L170_); trivial.
% 49.27/49.46 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H1db | zenon_intro zenon_H2e0 ].
% 49.27/49.46 apply (zenon_L171_); trivial.
% 49.27/49.46 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1de | zenon_intro zenon_H225 ].
% 49.27/49.46 apply (zenon_L172_); trivial.
% 49.27/49.46 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H2eb ].
% 49.27/49.46 apply (zenon_L173_); trivial.
% 49.27/49.46 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H1db | zenon_intro zenon_H2ec ].
% 49.27/49.46 apply (zenon_L171_); trivial.
% 49.27/49.46 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H20e ].
% 49.27/49.46 apply (zenon_L174_); trivial.
% 49.27/49.46 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H1ed | zenon_intro zenon_H2e1 ].
% 49.27/49.46 apply (zenon_L445_); trivial.
% 49.27/49.46 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H1ef | zenon_intro zenon_H2e2 ].
% 49.27/49.46 apply (zenon_L176_); trivial.
% 49.27/49.46 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H214 | zenon_intro zenon_H258 ].
% 49.27/49.46 apply (zenon_L447_); trivial.
% 49.27/49.46 apply (zenon_L195_); trivial.
% 49.27/49.46 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H25b | zenon_intro zenon_H261 ].
% 49.27/49.46 apply (zenon_L196_); trivial.
% 49.27/49.46 apply (zenon_L213_); trivial.
% 49.27/49.46 (* end of lemma zenon_L448_ *)
% 49.27/49.46 assert (zenon_L449_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((e20) = (e23))) -> ((op2 (e23) (e21)) = (e20)) -> ((op2 (e23) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e22)) -> False).
% 49.27/49.46 do 0 intro. intros zenon_H2af zenon_H1b4 zenon_H19b zenon_H1a7 zenon_H305 zenon_H26d zenon_H228 zenon_H308 zenon_H218 zenon_H206 zenon_H261 zenon_H2b4 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H291 zenon_H215.
% 49.27/49.46 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H2b0 ].
% 49.27/49.46 apply (zenon_L160_); trivial.
% 49.27/49.46 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H256 | zenon_intro zenon_H2b1 ].
% 49.27/49.46 apply (zenon_L335_); trivial.
% 49.27/49.46 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H229 | zenon_intro zenon_H2a6 ].
% 49.27/49.46 apply (zenon_L389_); trivial.
% 49.27/49.46 apply (zenon_L403_); trivial.
% 49.27/49.46 (* end of lemma zenon_L449_ *)
% 49.27/49.46 assert (zenon_L450_ : (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((e22) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((e21) = (e23))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((e20) = (e21))) -> ((op2 (e21) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((e20) = (e23))) -> ((op2 (e23) (e21)) = (e20)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> False).
% 49.27/49.46 do 0 intro. intros zenon_H285 zenon_H28b zenon_H25a zenon_H264 zenon_H1d2 zenon_H271 zenon_H298 zenon_H297 zenon_H205 zenon_H1fc zenon_H1dd zenon_H253 zenon_H2a0 zenon_H29c zenon_H1c9 zenon_H1de zenon_H213 zenon_H2af zenon_H1b4 zenon_H19b zenon_H1a7 zenon_H305 zenon_H228 zenon_H308 zenon_H218 zenon_H206 zenon_H261 zenon_H2b4 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H291.
% 49.27/49.46 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H25e | zenon_intro zenon_H286 ].
% 49.27/49.46 apply (zenon_L397_); trivial.
% 49.27/49.46 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H214 | zenon_intro zenon_H287 ].
% 49.27/49.46 apply (zenon_L394_); trivial.
% 49.27/49.46 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H27b | zenon_intro zenon_H215 ].
% 49.27/49.46 apply (zenon_L211_); trivial.
% 49.27/49.46 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H29b | zenon_intro zenon_H2a1 ].
% 49.27/49.46 apply (zenon_L222_); trivial.
% 49.27/49.46 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H20e | zenon_intro zenon_H2a2 ].
% 49.27/49.46 apply (zenon_L312_); trivial.
% 49.27/49.46 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H295 | zenon_intro zenon_H26d ].
% 49.27/49.46 apply (zenon_L218_); trivial.
% 49.27/49.46 apply (zenon_L449_); trivial.
% 49.27/49.46 (* end of lemma zenon_L450_ *)
% 49.27/49.46 assert (zenon_L451_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((e20) = (e23))) -> ((op2 (e23) (e21)) = (e20)) -> ((op2 (e23) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e22)) = (e21)) -> ((op2 (e22) (e23)) = (e22)) -> False).
% 49.27/49.46 do 0 intro. intros zenon_H2af zenon_H1b4 zenon_H19b zenon_H1a7 zenon_H305 zenon_H26d zenon_H228 zenon_H308 zenon_H218 zenon_H206 zenon_H261 zenon_H2b4 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H322 zenon_H295 zenon_H323.
% 49.27/49.46 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H2b0 ].
% 49.27/49.46 apply (zenon_L160_); trivial.
% 49.27/49.46 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H256 | zenon_intro zenon_H2b1 ].
% 49.27/49.46 apply (zenon_L335_); trivial.
% 49.27/49.46 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H229 | zenon_intro zenon_H2a6 ].
% 49.27/49.46 apply (zenon_L389_); trivial.
% 49.27/49.46 apply (zenon_L419_); trivial.
% 49.27/49.46 (* end of lemma zenon_L451_ *)
% 49.27/49.46 assert (zenon_L452_ : (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e21) = (e22))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> ((op2 (e22) (e20)) = (e21)) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e23)) = (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) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (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) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((e22) = (e23))) -> (~((e21) = (e23))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (e20) (e20)) = (e20)) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((e20) = (e23))) -> ((op2 (e23) (e21)) = (e20)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e22)) -> False).
% 49.27/49.46 do 0 intro. intros zenon_H271 zenon_H210 zenon_H28d zenon_H1ad zenon_H2db zenon_H2d9 zenon_H30a zenon_H30d zenon_H250 zenon_H1f0 zenon_H2a5 zenon_H31c zenon_H241 zenon_H317 zenon_H2ff zenon_H253 zenon_H2c0 zenon_H205 zenon_H2cb zenon_H2d4 zenon_H307 zenon_H277 zenon_H2e6 zenon_H301 zenon_H2cf zenon_H29c zenon_H2a0 zenon_H31a zenon_H282 zenon_H25a zenon_H213 zenon_H1dd zenon_H1fc zenon_H19d zenon_H1ba zenon_H28b zenon_H1d2 zenon_H2fc zenon_H297 zenon_H298 zenon_H2b9 zenon_H325 zenon_H322 zenon_H1f5 zenon_H2ce zenon_H2bc zenon_H285 zenon_H2ed zenon_H328 zenon_H31f zenon_H2fa zenon_H195 zenon_H194 zenon_H2da zenon_H2d8 zenon_H1c9 zenon_H264 zenon_H2af zenon_H1b4 zenon_H19b zenon_H1a7 zenon_H305 zenon_H228 zenon_H308 zenon_H218 zenon_H206 zenon_H261 zenon_H2b4 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H291 zenon_H215.
% 49.27/49.46 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H260 | zenon_intro zenon_H272 ].
% 49.27/49.46 apply (zenon_L379_); trivial.
% 49.27/49.46 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H225 | zenon_intro zenon_H273 ].
% 49.27/49.46 apply (zenon_L199_); trivial.
% 49.27/49.46 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H263 | zenon_intro zenon_H26d ].
% 49.27/49.46 apply (zenon_L200_); trivial.
% 49.27/49.46 apply (zenon_L449_); trivial.
% 49.27/49.46 (* end of lemma zenon_L452_ *)
% 49.27/49.46 assert (zenon_L453_ : (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e21)) = (e20)) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((e21) = (e22))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> ((op2 (e22) (e20)) = (e21)) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e23)) = (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) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((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 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((e22) = (e23))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (e20) (e20)) = (e20)) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> ((op2 (e23) (e22)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e21) = (e23))) -> (~((e20) = (e21))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False).
% 49.27/49.46 do 0 intro. intros zenon_H1b4 zenon_H2b4 zenon_H29c zenon_H2fa zenon_H305 zenon_H31f zenon_H210 zenon_H28d zenon_H1ad zenon_H2db zenon_H2d9 zenon_H30a zenon_H30d zenon_H250 zenon_H1f0 zenon_H2a5 zenon_H31c zenon_H241 zenon_H317 zenon_H2ff zenon_H253 zenon_H2c0 zenon_H2cb zenon_H2d4 zenon_H307 zenon_H277 zenon_H2e6 zenon_H301 zenon_H2cf zenon_H2a0 zenon_H31a zenon_H282 zenon_H213 zenon_H1dd zenon_H19d zenon_H1ba zenon_H28b zenon_H2fc zenon_H297 zenon_H298 zenon_H2b9 zenon_H325 zenon_H322 zenon_H1f5 zenon_H2ce zenon_H2bc zenon_H285 zenon_H2ed zenon_H328 zenon_H195 zenon_H194 zenon_H2da zenon_H2d8 zenon_H2af zenon_H1a7 zenon_H308 zenon_H291 zenon_H331 zenon_H1c8 zenon_H274 zenon_H336 zenon_H33a zenon_H295 zenon_H1fc zenon_H205 zenon_H271 zenon_H1d2 zenon_H1c9 zenon_H261 zenon_H264 zenon_H19b zenon_H218 zenon_H206 zenon_H25a zenon_H214 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H228.
% 49.27/49.46 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H254 ].
% 49.27/49.46 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H260 | zenon_intro zenon_H272 ].
% 49.27/49.46 apply (zenon_L368_); trivial.
% 49.27/49.46 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H225 | zenon_intro zenon_H273 ].
% 49.27/49.46 apply (zenon_L199_); trivial.
% 49.27/49.46 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H263 | zenon_intro zenon_H26d ].
% 49.27/49.46 apply (zenon_L200_); trivial.
% 49.27/49.46 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H20c | zenon_intro zenon_H251 ].
% 49.27/49.46 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H28a | zenon_intro zenon_H326 ].
% 49.27/49.46 apply (zenon_L427_); trivial.
% 49.27/49.46 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H258 | zenon_intro zenon_H327 ].
% 49.27/49.46 apply (zenon_L388_); trivial.
% 49.27/49.46 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H323 | zenon_intro zenon_H242 ].
% 49.27/49.46 apply (zenon_L451_); trivial.
% 49.27/49.46 apply (zenon_L391_); trivial.
% 49.27/49.46 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H20f | zenon_intro zenon_H252 ].
% 49.27/49.46 apply (zenon_L435_); trivial.
% 49.27/49.46 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H215 | zenon_intro zenon_H242 ].
% 49.27/49.46 apply (zenon_L452_); trivial.
% 49.27/49.46 apply (zenon_L339_); trivial.
% 49.27/49.46 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1fb | zenon_intro zenon_H255 ].
% 49.27/49.46 apply (zenon_L178_); trivial.
% 49.27/49.46 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H203 | zenon_intro zenon_H229 ].
% 49.27/49.46 apply (zenon_L180_); trivial.
% 49.27/49.46 apply (zenon_L204_); trivial.
% 49.27/49.46 (* end of lemma zenon_L453_ *)
% 49.27/49.46 assert (zenon_L454_ : ((op2 (e23) (e22)) = (e21)) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e21) = (e22))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> ((op2 (e22) (e20)) = (e21)) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e23)) = (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) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (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) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((e22) = (e23))) -> (~((e21) = (e23))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (e20) (e20)) = (e20)) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((e20) = (e23))) -> ((op2 (e23) (e21)) = (e20)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> False).
% 49.27/49.47 do 0 intro. intros zenon_H295 zenon_H33a zenon_H336 zenon_H274 zenon_H1c8 zenon_H331 zenon_H271 zenon_H210 zenon_H28d zenon_H1ad zenon_H2db zenon_H2d9 zenon_H30a zenon_H30d zenon_H250 zenon_H1f0 zenon_H2a5 zenon_H31c zenon_H241 zenon_H317 zenon_H2ff zenon_H253 zenon_H2c0 zenon_H205 zenon_H2cb zenon_H2d4 zenon_H307 zenon_H277 zenon_H2e6 zenon_H301 zenon_H2cf zenon_H29c zenon_H2a0 zenon_H31a zenon_H282 zenon_H25a zenon_H213 zenon_H1dd zenon_H1fc zenon_H19d zenon_H1ba zenon_H28b zenon_H1d2 zenon_H2fc zenon_H297 zenon_H298 zenon_H2b9 zenon_H325 zenon_H322 zenon_H1f5 zenon_H2ce zenon_H2bc zenon_H285 zenon_H2ed zenon_H328 zenon_H31f zenon_H2fa zenon_H195 zenon_H194 zenon_H2da zenon_H2d8 zenon_H1c9 zenon_H264 zenon_H2af zenon_H1b4 zenon_H19b zenon_H1a7 zenon_H305 zenon_H228 zenon_H308 zenon_H218 zenon_H206 zenon_H261 zenon_H2b4 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H291.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H25e | zenon_intro zenon_H286 ].
% 49.27/49.47 apply (zenon_L322_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H214 | zenon_intro zenon_H287 ].
% 49.27/49.47 apply (zenon_L453_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H27b | zenon_intro zenon_H215 ].
% 49.27/49.47 apply (zenon_L211_); trivial.
% 49.27/49.47 apply (zenon_L452_); trivial.
% 49.27/49.47 (* end of lemma zenon_L454_ *)
% 49.27/49.47 assert (zenon_L455_ : (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((op2 (e21) (e20)) = (e23)) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e21) = (e22))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> ((op2 (e22) (e20)) = (e21)) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e23)) = (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) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (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) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((e22) = (e23))) -> (~((e21) = (e23))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (e20) (e20)) = (e20)) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((e20) = (e23))) -> ((op2 (e23) (e21)) = (e20)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> False).
% 49.27/49.47 do 0 intro. intros zenon_H1e1 zenon_H1a6 zenon_H33a zenon_H336 zenon_H274 zenon_H1c8 zenon_H331 zenon_H271 zenon_H210 zenon_H28d zenon_H1ad zenon_H2db zenon_H2d9 zenon_H30a zenon_H30d zenon_H250 zenon_H1f0 zenon_H2a5 zenon_H31c zenon_H241 zenon_H317 zenon_H2ff zenon_H253 zenon_H2c0 zenon_H205 zenon_H2cb zenon_H2d4 zenon_H307 zenon_H277 zenon_H2e6 zenon_H301 zenon_H2cf zenon_H29c zenon_H2a0 zenon_H31a zenon_H282 zenon_H25a zenon_H213 zenon_H1dd zenon_H1fc zenon_H19d zenon_H1ba zenon_H28b zenon_H1d2 zenon_H2fc zenon_H297 zenon_H298 zenon_H2b9 zenon_H325 zenon_H322 zenon_H1f5 zenon_H2ce zenon_H2bc zenon_H285 zenon_H2ed zenon_H328 zenon_H31f zenon_H2fa zenon_H195 zenon_H194 zenon_H2da zenon_H2d8 zenon_H1c9 zenon_H264 zenon_H2af zenon_H1b4 zenon_H19b zenon_H1a7 zenon_H305 zenon_H228 zenon_H308 zenon_H218 zenon_H206 zenon_H261 zenon_H2b4 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H291.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H2d2 ].
% 49.27/49.47 apply (zenon_L448_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H1de | zenon_intro zenon_H2d3 ].
% 49.27/49.47 apply (zenon_L450_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H295 ].
% 49.27/49.47 apply (zenon_L240_); trivial.
% 49.27/49.47 apply (zenon_L454_); trivial.
% 49.27/49.47 (* end of lemma zenon_L455_ *)
% 49.27/49.47 assert (zenon_L456_ : (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((op2 (e21) (e20)) = (e23)) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e21) = (e22))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> ((op2 (e22) (e20)) = (e21)) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e23)) = (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) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((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 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((e22) = (e23))) -> (~((e21) = (e23))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (e20) (e20)) = (e20)) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((e20) = (e23))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e23)) -> False).
% 49.27/49.47 do 0 intro. intros zenon_H336 zenon_H1e1 zenon_H1a6 zenon_H33a zenon_H274 zenon_H1c8 zenon_H331 zenon_H271 zenon_H210 zenon_H28d zenon_H1ad zenon_H2db zenon_H2d9 zenon_H30a zenon_H30d zenon_H250 zenon_H1f0 zenon_H2a5 zenon_H31c zenon_H241 zenon_H317 zenon_H2ff zenon_H253 zenon_H2c0 zenon_H205 zenon_H2cb zenon_H2d4 zenon_H307 zenon_H277 zenon_H2e6 zenon_H301 zenon_H2cf zenon_H29c zenon_H2a0 zenon_H31a zenon_H282 zenon_H213 zenon_H1dd zenon_H1fc zenon_H19d zenon_H1ba zenon_H28b zenon_H1d2 zenon_H2fc zenon_H297 zenon_H298 zenon_H2b9 zenon_H325 zenon_H322 zenon_H1f5 zenon_H2ce zenon_H2bc zenon_H285 zenon_H2ed zenon_H328 zenon_H31f zenon_H2fa zenon_H195 zenon_H194 zenon_H2da zenon_H2d8 zenon_H1c9 zenon_H264 zenon_H2af zenon_H1b4 zenon_H19b zenon_H1a7 zenon_H228 zenon_H2b4 zenon_H348 zenon_H291 zenon_H218 zenon_H206 zenon_H25a zenon_H214 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H308 zenon_H229.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H317); [ zenon_intro zenon_H20b | zenon_intro zenon_H318 ].
% 49.27/49.47 apply (zenon_L382_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H305 | zenon_intro zenon_H319 ].
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H348); [ zenon_intro zenon_H2f1 | zenon_intro zenon_H349 ].
% 49.27/49.47 apply (zenon_L273_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H349); [ zenon_intro zenon_H261 | zenon_intro zenon_H34a ].
% 49.27/49.47 apply (zenon_L455_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H335 | zenon_intro zenon_H314 ].
% 49.27/49.47 apply (zenon_L386_); trivial.
% 49.27/49.47 apply (zenon_L446_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H290 | zenon_intro zenon_H314 ].
% 49.27/49.47 apply (zenon_L217_); trivial.
% 49.27/49.47 apply (zenon_L446_); trivial.
% 49.27/49.47 (* end of lemma zenon_L456_ *)
% 49.27/49.47 assert (zenon_L457_ : (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e22)) = (e21)) -> ((op2 (e23) (e21)) = (e23)) -> (~((e21) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> False).
% 49.27/49.47 do 0 intro. intros zenon_H277 zenon_H1ad zenon_H228 zenon_H14 zenon_H1e6 zenon_H214 zenon_H25a zenon_H218 zenon_H213 zenon_H1de zenon_H256 zenon_H1d2 zenon_H29c zenon_H2a0 zenon_H1fc zenon_H298 zenon_H291 zenon_H297 zenon_H253 zenon_H19b zenon_H19e zenon_H205 zenon_H274 zenon_H206.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H1ac | zenon_intro zenon_H278 ].
% 49.27/49.47 apply (zenon_L159_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H238 | zenon_intro zenon_H279 ].
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H254 ].
% 49.27/49.47 apply (zenon_L220_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1fb | zenon_intro zenon_H255 ].
% 49.27/49.47 apply (zenon_L178_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H203 | zenon_intro zenon_H229 ].
% 49.27/49.47 apply (zenon_L180_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H29b | zenon_intro zenon_H2a1 ].
% 49.27/49.47 apply (zenon_L222_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H20e | zenon_intro zenon_H2a2 ].
% 49.27/49.47 apply (zenon_L194_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H295 | zenon_intro zenon_H26d ].
% 49.27/49.47 apply (zenon_L218_); trivial.
% 49.27/49.47 apply (zenon_L203_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H203 | zenon_intro zenon_H275 ].
% 49.27/49.47 apply (zenon_L180_); trivial.
% 49.27/49.47 apply (zenon_L206_); trivial.
% 49.27/49.47 (* end of lemma zenon_L457_ *)
% 49.27/49.47 assert (zenon_L458_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e22)) = (e21)) -> (~((e21) = (e22))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e22) (e20)) = (e21)) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> ((op2 (e20) (e21)) = (e21)) -> (~((e20) = (e21))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((e20) = (e22))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e22) = (e23))) -> ((op2 (e23) (e21)) = (e23)) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> ((op2 (e21) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e22)) = (e23)) -> False).
% 49.27/49.47 do 0 intro. intros zenon_H250 zenon_H1b4 zenon_H19b zenon_H2b4 zenon_H29c zenon_H194 zenon_H331 zenon_H31f zenon_H25a zenon_H322 zenon_H295 zenon_H210 zenon_H28d zenon_H1d2 zenon_H1ad zenon_H2db zenon_H2cb zenon_H2c0 zenon_H2fa zenon_H30d zenon_H317 zenon_H30a zenon_H1c8 zenon_H1c9 zenon_H2da zenon_H291 zenon_H298 zenon_H1f0 zenon_H2d9 zenon_H301 zenon_H2af zenon_H1a7 zenon_H297 zenon_H33a zenon_H336 zenon_H264 zenon_H274 zenon_H19d zenon_H1ba zenon_H325 zenon_H28b zenon_H256 zenon_H214 zenon_H213 zenon_H218 zenon_H206 zenon_H225 zenon_H228 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H241 zenon_H229.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H20c | zenon_intro zenon_H251 ].
% 49.27/49.47 apply (zenon_L430_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H20f | zenon_intro zenon_H252 ].
% 49.27/49.47 apply (zenon_L241_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H215 | zenon_intro zenon_H242 ].
% 49.27/49.47 apply (zenon_L183_); trivial.
% 49.27/49.47 apply (zenon_L191_); trivial.
% 49.27/49.47 (* end of lemma zenon_L458_ *)
% 49.27/49.47 assert (zenon_L459_ : (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((e21) = (e22))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e22) (e20)) = (e21)) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> ((op2 (e20) (e21)) = (e21)) -> (~((e20) = (e21))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((e20) = (e22))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e22) = (e23))) -> ((op2 (e23) (e21)) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e23)) = (e21)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((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)) = (e21)) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> False).
% 49.27/49.47 do 0 intro. intros zenon_H277 zenon_H228 zenon_H14 zenon_H1e6 zenon_H214 zenon_H25a zenon_H218 zenon_H250 zenon_H1b4 zenon_H2b4 zenon_H29c zenon_H194 zenon_H331 zenon_H31f zenon_H322 zenon_H210 zenon_H28d zenon_H1d2 zenon_H1ad zenon_H2db zenon_H2cb zenon_H2c0 zenon_H2fa zenon_H30d zenon_H317 zenon_H30a zenon_H1c8 zenon_H1c9 zenon_H2da zenon_H291 zenon_H298 zenon_H1f0 zenon_H2d9 zenon_H301 zenon_H2af zenon_H1a7 zenon_H297 zenon_H33a zenon_H336 zenon_H264 zenon_H19d zenon_H1ba zenon_H325 zenon_H28b zenon_H256 zenon_H213 zenon_H225 zenon_H241 zenon_H2a0 zenon_H1fc zenon_H1de zenon_H253 zenon_H19b zenon_H19e zenon_H205 zenon_H274 zenon_H206.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H1ac | zenon_intro zenon_H278 ].
% 49.27/49.47 apply (zenon_L159_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H238 | zenon_intro zenon_H279 ].
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H254 ].
% 49.27/49.47 apply (zenon_L220_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1fb | zenon_intro zenon_H255 ].
% 49.27/49.47 apply (zenon_L178_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H203 | zenon_intro zenon_H229 ].
% 49.27/49.47 apply (zenon_L180_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H29b | zenon_intro zenon_H2a1 ].
% 49.27/49.47 apply (zenon_L222_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H20e | zenon_intro zenon_H2a2 ].
% 49.27/49.47 apply (zenon_L194_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H295 | zenon_intro zenon_H26d ].
% 49.27/49.47 apply (zenon_L458_); trivial.
% 49.27/49.47 apply (zenon_L203_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H203 | zenon_intro zenon_H275 ].
% 49.27/49.47 apply (zenon_L180_); trivial.
% 49.27/49.47 apply (zenon_L206_); trivial.
% 49.27/49.47 (* end of lemma zenon_L459_ *)
% 49.27/49.47 assert (zenon_L460_ : (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e22)) = (e21)) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> False).
% 49.27/49.47 do 0 intro. intros zenon_H277 zenon_H1ad zenon_H14 zenon_H2b9 zenon_H2b7 zenon_H19b zenon_H19e zenon_H205 zenon_H274 zenon_H206.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H1ac | zenon_intro zenon_H278 ].
% 49.27/49.47 apply (zenon_L159_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H238 | zenon_intro zenon_H279 ].
% 49.27/49.47 apply (zenon_L240_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H203 | zenon_intro zenon_H275 ].
% 49.27/49.47 apply (zenon_L180_); trivial.
% 49.27/49.47 apply (zenon_L206_); trivial.
% 49.27/49.47 (* end of lemma zenon_L460_ *)
% 49.27/49.47 assert (zenon_L461_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e22))) -> ((op2 (e23) (e20)) = (e22)) -> (~((e20) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e22) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((op2 (e23) (e21)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (e21)) = (e20)) -> ((op2 (e22) (e20)) = (e21)) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e21) (e20)) = (e23)) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> False).
% 49.27/49.47 do 0 intro. intros zenon_H317 zenon_H1f0 zenon_H20c zenon_H1a7 zenon_H291 zenon_H2cb zenon_H28b zenon_H2c0 zenon_H256 zenon_H2fa zenon_H1ad zenon_H1da zenon_H30d zenon_H1d1 zenon_H297 zenon_H33a zenon_H336 zenon_H264 zenon_H28a zenon_H274 zenon_H19e zenon_H1a6 zenon_H19b zenon_H14 zenon_H241.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H317); [ zenon_intro zenon_H20b | zenon_intro zenon_H318 ].
% 49.27/49.47 apply (zenon_L181_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H305 | zenon_intro zenon_H319 ].
% 49.27/49.47 apply (zenon_L335_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H290 | zenon_intro zenon_H314 ].
% 49.27/49.47 apply (zenon_L217_); trivial.
% 49.27/49.47 apply (zenon_L422_); trivial.
% 49.27/49.47 (* end of lemma zenon_L461_ *)
% 49.27/49.47 assert (zenon_L462_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e21)) = (e23)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e22)) = (e21)) -> ((op2 (e21) (e23)) = (e21)) -> (~((e21) = (e22))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e22))) -> (~((e20) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (e21)) = (e20)) -> ((op2 (e22) (e20)) = (e21)) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e22) = (e23))) -> ((op2 (e23) (e21)) = (e23)) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False).
% 49.27/49.47 do 0 intro. intros zenon_H250 zenon_H218 zenon_H206 zenon_H25a zenon_H1e6 zenon_H238 zenon_H322 zenon_H295 zenon_H225 zenon_H210 zenon_H317 zenon_H1f0 zenon_H1a7 zenon_H291 zenon_H2cb zenon_H2c0 zenon_H2fa zenon_H1ad zenon_H1da zenon_H30d zenon_H1d1 zenon_H297 zenon_H33a zenon_H336 zenon_H264 zenon_H274 zenon_H1a6 zenon_H241 zenon_H325 zenon_H28b zenon_H256 zenon_H214 zenon_H213 zenon_H31f zenon_H331 zenon_H194 zenon_H29c zenon_H2b4 zenon_H19e zenon_H14 zenon_H19b zenon_H1b4.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H20c | zenon_intro zenon_H251 ].
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H28a | zenon_intro zenon_H326 ].
% 49.27/49.47 apply (zenon_L461_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H258 | zenon_intro zenon_H327 ].
% 49.27/49.47 apply (zenon_L195_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H323 | zenon_intro zenon_H242 ].
% 49.27/49.47 apply (zenon_L429_); trivial.
% 49.27/49.47 apply (zenon_L338_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H20f | zenon_intro zenon_H252 ].
% 49.27/49.47 apply (zenon_L241_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H215 | zenon_intro zenon_H242 ].
% 49.27/49.47 apply (zenon_L183_); trivial.
% 49.27/49.47 apply (zenon_L391_); trivial.
% 49.27/49.47 (* end of lemma zenon_L462_ *)
% 49.27/49.47 assert (zenon_L463_ : (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e23)) = (e21)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> ((op2 (e23) (e21)) = (e23)) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((e20) = (e23))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e20) = (e22))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((e20) = (e21))) -> ((op2 (e20) (e21)) = (e21)) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((e21) = (e23))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((e21) = (e22))) -> ((op2 (e23) (e22)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (e21)) = (e20)) -> ((op2 (e21) (e20)) = (e23)) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> False).
% 49.27/49.47 do 0 intro. intros zenon_H277 zenon_H241 zenon_H14 zenon_H1e6 zenon_H228 zenon_H225 zenon_H218 zenon_H213 zenon_H214 zenon_H256 zenon_H28b zenon_H325 zenon_H1ba zenon_H19d zenon_H264 zenon_H336 zenon_H33a zenon_H297 zenon_H1a7 zenon_H2af zenon_H301 zenon_H2d9 zenon_H1f0 zenon_H298 zenon_H291 zenon_H2da zenon_H1c9 zenon_H1c8 zenon_H30a zenon_H317 zenon_H30d zenon_H2fa zenon_H2c0 zenon_H2cb zenon_H2db zenon_H1ad zenon_H1d2 zenon_H28d zenon_H210 zenon_H295 zenon_H322 zenon_H25a zenon_H31f zenon_H331 zenon_H194 zenon_H29c zenon_H2b4 zenon_H1b4 zenon_H250 zenon_H1fc zenon_H1da zenon_H1a6 zenon_H253 zenon_H19b zenon_H19e zenon_H205 zenon_H274 zenon_H206.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H1ac | zenon_intro zenon_H278 ].
% 49.27/49.47 apply (zenon_L159_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H238 | zenon_intro zenon_H279 ].
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H254 ].
% 49.27/49.47 apply (zenon_L462_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1fb | zenon_intro zenon_H255 ].
% 49.27/49.47 apply (zenon_L178_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H203 | zenon_intro zenon_H229 ].
% 49.27/49.47 apply (zenon_L180_); trivial.
% 49.27/49.47 apply (zenon_L458_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H203 | zenon_intro zenon_H275 ].
% 49.27/49.47 apply (zenon_L180_); trivial.
% 49.27/49.47 apply (zenon_L206_); trivial.
% 49.27/49.47 (* end of lemma zenon_L463_ *)
% 49.27/49.47 assert (zenon_L464_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e21) = (e22))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> ((op2 (e22) (e20)) = (e21)) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e23)) = (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) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (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) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((e22) = (e23))) -> (~((e21) = (e23))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (e20) (e20)) = (e20)) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False).
% 49.27/49.47 do 0 intro. intros zenon_H32b zenon_H1a7 zenon_H1e1 zenon_H33a zenon_H336 zenon_H274 zenon_H1c8 zenon_H331 zenon_H271 zenon_H210 zenon_H28d zenon_H2db zenon_H2d9 zenon_H30a zenon_H30d zenon_H250 zenon_H1f0 zenon_H2a5 zenon_H31c zenon_H241 zenon_H317 zenon_H2ff zenon_H253 zenon_H2c0 zenon_H205 zenon_H2cb zenon_H2d4 zenon_H307 zenon_H277 zenon_H2e6 zenon_H301 zenon_H2cf zenon_H29c zenon_H2a0 zenon_H31a zenon_H282 zenon_H25a zenon_H213 zenon_H1dd zenon_H1fc zenon_H19d zenon_H1ba zenon_H28b zenon_H1d2 zenon_H2fc zenon_H297 zenon_H298 zenon_H2b9 zenon_H325 zenon_H322 zenon_H1f5 zenon_H2ce zenon_H2bc zenon_H285 zenon_H2ed zenon_H328 zenon_H31f zenon_H2fa zenon_H195 zenon_H194 zenon_H2da zenon_H2d8 zenon_H1c9 zenon_H264 zenon_H2af zenon_H228 zenon_H308 zenon_H218 zenon_H2b4 zenon_H1e6 zenon_H291 zenon_H1ec zenon_H2f2 zenon_H342 zenon_H2f4 zenon_H1c4 zenon_H2e5 zenon_H1bd zenon_H2e4 zenon_H348 zenon_H1ad zenon_H19e zenon_H14 zenon_H19b zenon_H1b4.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H19f | zenon_intro zenon_H28e ].
% 49.27/49.47 apply (zenon_L156_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28f ].
% 49.27/49.47 apply (zenon_L265_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H206 ].
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ].
% 49.27/49.47 apply (zenon_L156_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ].
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2dd ].
% 49.27/49.47 apply (zenon_L158_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1da | zenon_intro zenon_H2de ].
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H2df ].
% 49.27/49.47 apply (zenon_L170_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H1db | zenon_intro zenon_H2e0 ].
% 49.27/49.47 apply (zenon_L171_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1de | zenon_intro zenon_H225 ].
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H1ed | zenon_intro zenon_H2e1 ].
% 49.27/49.47 apply (zenon_L175_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H1ef | zenon_intro zenon_H2e2 ].
% 49.27/49.47 apply (zenon_L176_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H214 | zenon_intro zenon_H258 ].
% 49.27/49.47 apply (zenon_L220_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d0 ].
% 49.27/49.47 apply (zenon_L265_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H2d1 ].
% 49.27/49.47 apply (zenon_L177_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H238 | zenon_intro zenon_H256 ].
% 49.27/49.47 apply (zenon_L413_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H25e | zenon_intro zenon_H286 ].
% 49.27/49.47 apply (zenon_L221_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H214 | zenon_intro zenon_H287 ].
% 49.27/49.47 apply (zenon_L220_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H27b | zenon_intro zenon_H215 ].
% 49.27/49.47 apply (zenon_L209_); trivial.
% 49.27/49.47 apply (zenon_L417_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H1ed | zenon_intro zenon_H2e1 ].
% 49.27/49.47 apply (zenon_L175_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H1ef | zenon_intro zenon_H2e2 ].
% 49.27/49.47 apply (zenon_L176_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H214 | zenon_intro zenon_H258 ].
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d0 ].
% 49.27/49.47 apply (zenon_L265_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H2d1 ].
% 49.27/49.47 apply (zenon_L177_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H238 | zenon_intro zenon_H256 ].
% 49.27/49.47 apply (zenon_L438_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H1ac | zenon_intro zenon_H278 ].
% 49.27/49.47 apply (zenon_L159_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H238 | zenon_intro zenon_H279 ].
% 49.27/49.47 apply (zenon_L438_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H203 | zenon_intro zenon_H275 ].
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H317); [ zenon_intro zenon_H20b | zenon_intro zenon_H318 ].
% 49.27/49.47 apply (zenon_L382_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H305 | zenon_intro zenon_H319 ].
% 49.27/49.47 apply (zenon_L367_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H290 | zenon_intro zenon_H314 ].
% 49.27/49.47 apply (zenon_L217_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H20c | zenon_intro zenon_H251 ].
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H206 | zenon_intro zenon_H2cc ].
% 49.27/49.47 apply (zenon_L180_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H2bf | zenon_intro zenon_H2cd ].
% 49.27/49.47 apply (zenon_L245_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H275 | zenon_intro zenon_H2a6 ].
% 49.27/49.47 apply (zenon_L431_); trivial.
% 49.27/49.47 apply (zenon_L256_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H20f | zenon_intro zenon_H252 ].
% 49.27/49.47 apply (zenon_L435_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H215 | zenon_intro zenon_H242 ].
% 49.27/49.47 apply (zenon_L183_); trivial.
% 49.27/49.47 apply (zenon_L391_); trivial.
% 49.27/49.47 apply (zenon_L440_); trivial.
% 49.27/49.47 apply (zenon_L195_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H25b | zenon_intro zenon_H261 ].
% 49.27/49.47 apply (zenon_L196_); trivial.
% 49.27/49.47 apply (zenon_L443_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ].
% 49.27/49.47 apply (zenon_L159_); trivial.
% 49.27/49.47 apply (zenon_L160_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ].
% 49.27/49.47 apply (zenon_L156_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ].
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2dd ].
% 49.27/49.47 apply (zenon_L158_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1da | zenon_intro zenon_H2de ].
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H2df ].
% 49.27/49.47 apply (zenon_L170_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H1db | zenon_intro zenon_H2e0 ].
% 49.27/49.47 apply (zenon_L171_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1de | zenon_intro zenon_H225 ].
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H1ed | zenon_intro zenon_H2e1 ].
% 49.27/49.47 apply (zenon_L175_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H1ef | zenon_intro zenon_H2e2 ].
% 49.27/49.47 apply (zenon_L176_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H214 | zenon_intro zenon_H258 ].
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d0 ].
% 49.27/49.47 apply (zenon_L444_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H2d1 ].
% 49.27/49.47 apply (zenon_L177_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H238 | zenon_intro zenon_H256 ].
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H254 ].
% 49.27/49.47 apply (zenon_L220_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1fb | zenon_intro zenon_H255 ].
% 49.27/49.47 apply (zenon_L178_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H203 | zenon_intro zenon_H229 ].
% 49.27/49.47 apply (zenon_L180_); trivial.
% 49.27/49.47 apply (zenon_L456_); trivial.
% 49.27/49.47 apply (zenon_L457_); trivial.
% 49.27/49.47 apply (zenon_L388_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H1ed | zenon_intro zenon_H2e1 ].
% 49.27/49.47 apply (zenon_L175_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H1ef | zenon_intro zenon_H2e2 ].
% 49.27/49.47 apply (zenon_L176_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H214 | zenon_intro zenon_H258 ].
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d0 ].
% 49.27/49.47 apply (zenon_L265_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H2d1 ].
% 49.27/49.47 apply (zenon_L177_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H238 | zenon_intro zenon_H256 ].
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H254 ].
% 49.27/49.47 apply (zenon_L438_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1fb | zenon_intro zenon_H255 ].
% 49.27/49.47 apply (zenon_L178_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H203 | zenon_intro zenon_H229 ].
% 49.27/49.47 apply (zenon_L180_); trivial.
% 49.27/49.47 apply (zenon_L456_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H2d2 ].
% 49.27/49.47 apply (zenon_L173_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H1de | zenon_intro zenon_H2d3 ].
% 49.27/49.47 apply (zenon_L459_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H295 ].
% 49.27/49.47 apply (zenon_L460_); trivial.
% 49.27/49.47 apply (zenon_L463_); trivial.
% 49.27/49.47 apply (zenon_L195_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H25b | zenon_intro zenon_H261 ].
% 49.27/49.47 apply (zenon_L196_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H193 | zenon_intro zenon_H30b ].
% 49.27/49.47 apply (zenon_L166_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H30b); [ zenon_intro zenon_H1da | zenon_intro zenon_H30c ].
% 49.27/49.47 apply (zenon_L395_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H30c); [ zenon_intro zenon_H302 | zenon_intro zenon_H305 ].
% 49.27/49.47 apply (zenon_L292_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d0 ].
% 49.27/49.47 apply (zenon_L444_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H2d1 ].
% 49.27/49.47 apply (zenon_L177_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H238 | zenon_intro zenon_H256 ].
% 49.27/49.47 apply (zenon_L455_); trivial.
% 49.27/49.47 apply (zenon_L335_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ].
% 49.27/49.47 apply (zenon_L159_); trivial.
% 49.27/49.47 apply (zenon_L160_); trivial.
% 49.27/49.47 (* end of lemma zenon_L464_ *)
% 49.27/49.47 assert (zenon_L465_ : (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (e20) (e21)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> False).
% 49.27/49.47 do 0 intro. intros zenon_H34b zenon_H195 zenon_H193 zenon_H1c4 zenon_H1ed zenon_H19d zenon_H19e zenon_H14 zenon_H19b.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H34b); [ zenon_intro zenon_H194 | zenon_intro zenon_H34c ].
% 49.27/49.47 apply (zenon_L154_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H34c); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H34d ].
% 49.27/49.47 apply (zenon_L165_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H34d); [ zenon_intro zenon_H1ec | zenon_intro zenon_H19f ].
% 49.27/49.47 apply (zenon_L175_); trivial.
% 49.27/49.47 apply (zenon_L156_); trivial.
% 49.27/49.47 (* end of lemma zenon_L465_ *)
% 49.27/49.47 assert (zenon_L466_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((e20) = (e23))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e21) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e23)) = (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) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (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) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((e22) = (e23))) -> ((op2 (e20) (e22)) = (e22)) -> ((op2 (e20) (e23)) = (e21)) -> (~((e21) = (e23))) -> False).
% 49.27/49.47 do 0 intro. intros zenon_H28d zenon_H1b4 zenon_H19b zenon_H14 zenon_H19e zenon_H1ad zenon_H2db zenon_H1a7 zenon_H2d9 zenon_H30a zenon_H19d zenon_H1ed zenon_H1c4 zenon_H195 zenon_H34b zenon_H308 zenon_H264 zenon_H30d zenon_H228 zenon_H291 zenon_H250 zenon_H1f0 zenon_H2b4 zenon_H2a5 zenon_H31c zenon_H241 zenon_H317 zenon_H2ff zenon_H253 zenon_H2af zenon_H2c0 zenon_H205 zenon_H2cb zenon_H2d4 zenon_H307 zenon_H277 zenon_H1e6 zenon_H2e6 zenon_H301 zenon_H2cf zenon_H210 zenon_H218 zenon_H1c9 zenon_H29c zenon_H2a0 zenon_H31a zenon_H282 zenon_H25a zenon_H213 zenon_H1dd zenon_H1fc zenon_H1ba zenon_H28b zenon_H25e zenon_H260 zenon_H1d2.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H19f | zenon_intro zenon_H28e ].
% 49.27/49.47 apply (zenon_L156_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28f ].
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ].
% 49.27/49.47 apply (zenon_L156_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ].
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2dd ].
% 49.27/49.47 apply (zenon_L158_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1da | zenon_intro zenon_H2de ].
% 49.27/49.47 apply (zenon_L352_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H25b | zenon_intro zenon_H261 ].
% 49.27/49.47 apply (zenon_L196_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H193 | zenon_intro zenon_H30b ].
% 49.27/49.47 apply (zenon_L465_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H30b); [ zenon_intro zenon_H1da | zenon_intro zenon_H30c ].
% 49.27/49.47 apply (zenon_L353_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H30c); [ zenon_intro zenon_H302 | zenon_intro zenon_H305 ].
% 49.27/49.47 apply (zenon_L292_); trivial.
% 49.27/49.47 apply (zenon_L323_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ].
% 49.27/49.47 apply (zenon_L159_); trivial.
% 49.27/49.47 apply (zenon_L160_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H206 ].
% 49.27/49.47 apply (zenon_L221_); trivial.
% 49.27/49.47 apply (zenon_L198_); trivial.
% 49.27/49.47 (* end of lemma zenon_L466_ *)
% 49.27/49.47 assert (zenon_L467_ : (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e22)) = (e21)) -> ((op2 (e23) (e21)) = (e23)) -> (~((e21) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e22)) -> (~((e22) = (e23))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> False).
% 49.27/49.47 do 0 intro. intros zenon_H277 zenon_H1ad zenon_H228 zenon_H14 zenon_H1e6 zenon_H308 zenon_H261 zenon_H218 zenon_H213 zenon_H1de zenon_H256 zenon_H1d2 zenon_H29c zenon_H2a0 zenon_H1fc zenon_H25e zenon_H28b zenon_H253 zenon_H19b zenon_H19e zenon_H205 zenon_H274 zenon_H206.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H1ac | zenon_intro zenon_H278 ].
% 49.27/49.47 apply (zenon_L159_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H238 | zenon_intro zenon_H279 ].
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H254 ].
% 49.27/49.47 apply (zenon_L221_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1fb | zenon_intro zenon_H255 ].
% 49.27/49.47 apply (zenon_L178_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H203 | zenon_intro zenon_H229 ].
% 49.27/49.47 apply (zenon_L180_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H29b | zenon_intro zenon_H2a1 ].
% 49.27/49.47 apply (zenon_L222_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H20e | zenon_intro zenon_H2a2 ].
% 49.27/49.47 apply (zenon_L194_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H295 | zenon_intro zenon_H26d ].
% 49.27/49.47 apply (zenon_L218_); trivial.
% 49.27/49.47 apply (zenon_L389_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H203 | zenon_intro zenon_H275 ].
% 49.27/49.47 apply (zenon_L180_); trivial.
% 49.27/49.47 apply (zenon_L206_); trivial.
% 49.27/49.47 (* end of lemma zenon_L467_ *)
% 49.27/49.47 assert (zenon_L468_ : ((op2 (e22) (e20)) = (e21)) -> ((op2 (e22) (e20)) = (e22)) -> (~((e21) = (e22))) -> False).
% 49.27/49.47 do 0 intro. intros zenon_H30d zenon_H34e zenon_H210.
% 49.27/49.47 elim (classic ((e22) = (e22))); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H1c2 ].
% 49.27/49.47 cut (((e22) = (e22)) = ((e21) = (e22))).
% 49.27/49.47 intro zenon_D_pnotp.
% 49.27/49.47 apply zenon_H210.
% 49.27/49.47 rewrite <- zenon_D_pnotp.
% 49.27/49.47 exact zenon_H1f1.
% 49.27/49.47 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1c2].
% 49.27/49.47 cut (((e22) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H211].
% 49.27/49.47 congruence.
% 49.27/49.47 cut (((op2 (e22) (e20)) = (e21)) = ((e22) = (e21))).
% 49.27/49.47 intro zenon_D_pnotp.
% 49.27/49.47 apply zenon_H211.
% 49.27/49.47 rewrite <- zenon_D_pnotp.
% 49.27/49.47 exact zenon_H30d.
% 49.27/49.47 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1cb].
% 49.27/49.47 cut (((op2 (e22) (e20)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H34f].
% 49.27/49.47 congruence.
% 49.27/49.47 exact (zenon_H34f zenon_H34e).
% 49.27/49.47 apply zenon_H1cb. apply refl_equal.
% 49.27/49.47 apply zenon_H1c2. apply refl_equal.
% 49.27/49.47 apply zenon_H1c2. apply refl_equal.
% 49.27/49.47 (* end of lemma zenon_L468_ *)
% 49.27/49.47 assert (zenon_L469_ : (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e23) (e20)) = (e22)) -> ((op2 (e21) (e21)) = (e20)) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((e20) = (e22))) -> False).
% 49.27/49.47 do 0 intro. intros zenon_H2da zenon_H1b4 zenon_H20c zenon_H1da zenon_H25e zenon_H1dd zenon_H261 zenon_H1f0.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H1ed | zenon_intro zenon_H2e1 ].
% 49.27/49.47 apply (zenon_L383_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H1ef | zenon_intro zenon_H2e2 ].
% 49.27/49.47 apply (zenon_L176_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H214 | zenon_intro zenon_H258 ].
% 49.27/49.47 apply (zenon_L321_); trivial.
% 49.27/49.47 apply (zenon_L336_); trivial.
% 49.27/49.47 (* end of lemma zenon_L469_ *)
% 49.27/49.47 assert (zenon_L470_ : (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (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) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((e20) = (e22))) -> ((op2 (e23) (e20)) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((e21) = (e23))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((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 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((e21) = (e22))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((e20) = (e23))) -> False).
% 49.27/49.47 do 0 intro. intros zenon_H30a zenon_H28d zenon_H19d zenon_H1ad zenon_H2db zenon_H2d9 zenon_H250 zenon_H241 zenon_H264 zenon_H297 zenon_H2cb zenon_H2c0 zenon_H2d4 zenon_H2a5 zenon_H2b4 zenon_H291 zenon_H277 zenon_H2bc zenon_H2af zenon_H285 zenon_H298 zenon_H1ba zenon_H2d8 zenon_H1e1 zenon_H2e6 zenon_H274 zenon_H271 zenon_H1c4 zenon_H2e5 zenon_H1bd zenon_H195 zenon_H2e4 zenon_H1f0 zenon_H20c zenon_H1b4 zenon_H2da zenon_H301 zenon_H2ce zenon_H1d2 zenon_H1c8 zenon_H1f5 zenon_H1fc zenon_H19b zenon_H14 zenon_H19e zenon_H1dd zenon_H25e zenon_H213 zenon_H25a zenon_H282 zenon_H2b9 zenon_H253 zenon_H28b zenon_H205 zenon_H2a0 zenon_H29c zenon_H1c9 zenon_H218 zenon_H206 zenon_H261 zenon_H308 zenon_H1e6 zenon_H228 zenon_H210 zenon_H2cf zenon_H1a7.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H193 | zenon_intro zenon_H30b ].
% 49.27/49.47 apply (zenon_L262_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H30b); [ zenon_intro zenon_H1da | zenon_intro zenon_H30c ].
% 49.27/49.47 apply (zenon_L469_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H30c); [ zenon_intro zenon_H302 | zenon_intro zenon_H305 ].
% 49.27/49.47 apply (zenon_L292_); trivial.
% 49.27/49.47 apply (zenon_L398_); trivial.
% 49.27/49.47 (* end of lemma zenon_L470_ *)
% 49.27/49.47 assert (zenon_L471_ : (~((e20) = (e23))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((e21) = (e22))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (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) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((e21) = (e23))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e23) (e20)) = (e22)) -> (~((e20) = (e22))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (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 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False).
% 49.27/49.47 do 0 intro. intros zenon_H1a7 zenon_H2cf zenon_H210 zenon_H228 zenon_H1e6 zenon_H308 zenon_H218 zenon_H1c9 zenon_H29c zenon_H2a0 zenon_H205 zenon_H28b zenon_H253 zenon_H2b9 zenon_H282 zenon_H25a zenon_H213 zenon_H25e zenon_H1dd zenon_H1fc zenon_H1f5 zenon_H1c8 zenon_H1d2 zenon_H2ce zenon_H301 zenon_H2da zenon_H20c zenon_H1f0 zenon_H2e4 zenon_H195 zenon_H1bd zenon_H2e5 zenon_H1c4 zenon_H271 zenon_H274 zenon_H2e6 zenon_H1e1 zenon_H2d8 zenon_H1ba zenon_H298 zenon_H285 zenon_H2af zenon_H2bc zenon_H277 zenon_H291 zenon_H2b4 zenon_H2a5 zenon_H2d4 zenon_H2c0 zenon_H2cb zenon_H297 zenon_H264 zenon_H241 zenon_H250 zenon_H2d9 zenon_H2db zenon_H19d zenon_H28d zenon_H30a zenon_H33a zenon_H336 zenon_H2ff zenon_H1ad zenon_H19e zenon_H14 zenon_H19b zenon_H1b4.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H19f | zenon_intro zenon_H28e ].
% 49.27/49.47 apply (zenon_L156_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28f ].
% 49.27/49.47 apply (zenon_L265_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H206 ].
% 49.27/49.47 apply (zenon_L221_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ].
% 49.27/49.47 apply (zenon_L156_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ].
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2dd ].
% 49.27/49.47 apply (zenon_L158_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1da | zenon_intro zenon_H2de ].
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H1ed | zenon_intro zenon_H2e1 ].
% 49.27/49.47 apply (zenon_L383_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H1ef | zenon_intro zenon_H2e2 ].
% 49.27/49.47 apply (zenon_L176_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H214 | zenon_intro zenon_H258 ].
% 49.27/49.47 apply (zenon_L321_); trivial.
% 49.27/49.47 apply (zenon_L388_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H25b | zenon_intro zenon_H261 ].
% 49.27/49.47 apply (zenon_L196_); trivial.
% 49.27/49.47 apply (zenon_L470_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ].
% 49.27/49.47 apply (zenon_L159_); trivial.
% 49.27/49.47 apply (zenon_L160_); trivial.
% 49.27/49.47 (* end of lemma zenon_L471_ *)
% 49.27/49.47 assert (zenon_L472_ : (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e22) (e20)) = (e21)) -> (~((e20) = (e23))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((e21) = (e22))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (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) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((e21) = (e23))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((e20) = (e22))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (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 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False).
% 49.27/49.47 do 0 intro. intros zenon_H350 zenon_H32b zenon_H322 zenon_H2ed zenon_H328 zenon_H2fa zenon_H2fc zenon_H325 zenon_H194 zenon_H331 zenon_H31f zenon_H34b zenon_H31c zenon_H317 zenon_H307 zenon_H31a zenon_H30d zenon_H1a7 zenon_H2cf zenon_H210 zenon_H228 zenon_H1e6 zenon_H308 zenon_H218 zenon_H1c9 zenon_H29c zenon_H2a0 zenon_H205 zenon_H28b zenon_H253 zenon_H2b9 zenon_H282 zenon_H25a zenon_H213 zenon_H25e zenon_H1dd zenon_H1fc zenon_H1f5 zenon_H1c8 zenon_H1d2 zenon_H2ce zenon_H301 zenon_H2da zenon_H1f0 zenon_H2e4 zenon_H195 zenon_H1bd zenon_H2e5 zenon_H1c4 zenon_H271 zenon_H274 zenon_H2e6 zenon_H1e1 zenon_H2d8 zenon_H1ba zenon_H298 zenon_H285 zenon_H2af zenon_H2bc zenon_H277 zenon_H291 zenon_H2b4 zenon_H2a5 zenon_H2d4 zenon_H2c0 zenon_H2cb zenon_H297 zenon_H264 zenon_H241 zenon_H250 zenon_H2d9 zenon_H2db zenon_H19d zenon_H28d zenon_H30a zenon_H33a zenon_H336 zenon_H2ff zenon_H1ad zenon_H19e zenon_H14 zenon_H19b zenon_H1b4.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H350); [ zenon_intro zenon_H1ec | zenon_intro zenon_H351 ].
% 49.27/49.47 apply (zenon_L399_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H351); [ zenon_intro zenon_H1ed | zenon_intro zenon_H352 ].
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H19f | zenon_intro zenon_H28e ].
% 49.27/49.47 apply (zenon_L156_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28f ].
% 49.27/49.47 apply (zenon_L265_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H206 ].
% 49.27/49.47 apply (zenon_L221_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ].
% 49.27/49.47 apply (zenon_L156_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ].
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2dd ].
% 49.27/49.47 apply (zenon_L158_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1da | zenon_intro zenon_H2de ].
% 49.27/49.47 apply (zenon_L393_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H25b | zenon_intro zenon_H261 ].
% 49.27/49.47 apply (zenon_L196_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H193 | zenon_intro zenon_H30b ].
% 49.27/49.47 apply (zenon_L262_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H30b); [ zenon_intro zenon_H1da | zenon_intro zenon_H30c ].
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H2df ].
% 49.27/49.47 apply (zenon_L170_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H1db | zenon_intro zenon_H2e0 ].
% 49.27/49.47 apply (zenon_L171_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1de | zenon_intro zenon_H225 ].
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d0 ].
% 49.27/49.47 apply (zenon_L444_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H2d1 ].
% 49.27/49.47 apply (zenon_L177_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H238 | zenon_intro zenon_H256 ].
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H254 ].
% 49.27/49.47 apply (zenon_L221_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1fb | zenon_intro zenon_H255 ].
% 49.27/49.47 apply (zenon_L178_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H203 | zenon_intro zenon_H229 ].
% 49.27/49.47 apply (zenon_L180_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H260 | zenon_intro zenon_H272 ].
% 49.27/49.47 apply (zenon_L466_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H225 | zenon_intro zenon_H273 ].
% 49.27/49.47 apply (zenon_L199_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H263 | zenon_intro zenon_H26d ].
% 49.27/49.47 apply (zenon_L200_); trivial.
% 49.27/49.47 apply (zenon_L389_); trivial.
% 49.27/49.47 apply (zenon_L467_); trivial.
% 49.27/49.47 apply (zenon_L385_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H30c); [ zenon_intro zenon_H302 | zenon_intro zenon_H305 ].
% 49.27/49.47 apply (zenon_L292_); trivial.
% 49.27/49.47 apply (zenon_L398_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ].
% 49.27/49.47 apply (zenon_L159_); trivial.
% 49.27/49.47 apply (zenon_L160_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H352); [ zenon_intro zenon_H34e | zenon_intro zenon_H20c ].
% 49.27/49.47 apply (zenon_L468_); trivial.
% 49.27/49.47 apply (zenon_L471_); trivial.
% 49.27/49.47 (* end of lemma zenon_L472_ *)
% 49.27/49.47 assert (zenon_L473_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((e20) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e22) (e20)) = (e21)) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e21) (e20)) = (e23)) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> False).
% 49.27/49.47 do 0 intro. intros zenon_H317 zenon_H331 zenon_H194 zenon_H1a7 zenon_H291 zenon_H2af zenon_H1b4 zenon_H30d zenon_H1da zenon_H1ad zenon_H2fa zenon_H2c0 zenon_H28b zenon_H2cb zenon_H1d1 zenon_H297 zenon_H33a zenon_H336 zenon_H264 zenon_H28a zenon_H274 zenon_H19e zenon_H1a6 zenon_H19b zenon_H14 zenon_H241.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H317); [ zenon_intro zenon_H20b | zenon_intro zenon_H318 ].
% 49.27/49.47 apply (zenon_L382_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H305 | zenon_intro zenon_H319 ].
% 49.27/49.47 apply (zenon_L418_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H290 | zenon_intro zenon_H314 ].
% 49.27/49.47 apply (zenon_L217_); trivial.
% 49.27/49.47 apply (zenon_L423_); trivial.
% 49.27/49.47 (* end of lemma zenon_L473_ *)
% 49.27/49.47 assert (zenon_L474_ : (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> ((op2 (e22) (e20)) = (e21)) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((e20) = (e21))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (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) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((e21) = (e22))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((e21) = (e23))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((e20) = (e23))) -> ((op2 (e20) (e23)) = (e22)) -> (~((e22) = (e23))) -> False).
% 49.27/49.47 do 0 intro. intros zenon_H1b4 zenon_H19b zenon_H14 zenon_H19e zenon_H1ad zenon_H2db zenon_H30d zenon_H317 zenon_H1c8 zenon_H2b4 zenon_H29c zenon_H194 zenon_H331 zenon_H31f zenon_H342 zenon_H1c9 zenon_H28d zenon_H19d zenon_H2fa zenon_H301 zenon_H2d9 zenon_H2e6 zenon_H1e1 zenon_H277 zenon_H307 zenon_H2d4 zenon_H2c0 zenon_H2cb zenon_H253 zenon_H2ff zenon_H282 zenon_H25a zenon_H1dd zenon_H228 zenon_H308 zenon_H213 zenon_H210 zenon_H1f0 zenon_H250 zenon_H1fc zenon_H2f4 zenon_H30a zenon_H1d2 zenon_H2d8 zenon_H291 zenon_H297 zenon_H2af zenon_H298 zenon_H2bc zenon_H285 zenon_H1f5 zenon_H2ce zenon_H205 zenon_H2fc zenon_H2da zenon_H1c4 zenon_H2e5 zenon_H1bd zenon_H1ba zenon_H2f2 zenon_H2e4 zenon_H2a5 zenon_H241 zenon_H274 zenon_H264 zenon_H336 zenon_H33a zenon_H218 zenon_H1e6 zenon_H322 zenon_H325 zenon_H2b9 zenon_H2cf zenon_H1a7 zenon_H28a zenon_H28b.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H19f | zenon_intro zenon_H28e ].
% 49.27/49.47 apply (zenon_L156_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28f ].
% 49.27/49.47 apply (zenon_L265_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H206 ].
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ].
% 49.27/49.47 apply (zenon_L156_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ].
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2dd ].
% 49.27/49.47 apply (zenon_L158_); trivial.
% 49.27/49.47 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1da | zenon_intro zenon_H2de ].
% 49.27/49.48 apply (zenon_L473_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H25b | zenon_intro zenon_H261 ].
% 49.27/49.48 apply (zenon_L196_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H193 | zenon_intro zenon_H30b ].
% 49.27/49.48 apply (zenon_L166_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H30b); [ zenon_intro zenon_H1da | zenon_intro zenon_H30c ].
% 49.27/49.48 apply (zenon_L473_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H30c); [ zenon_intro zenon_H302 | zenon_intro zenon_H305 ].
% 49.27/49.48 apply (zenon_L292_); trivial.
% 49.27/49.48 apply (zenon_L442_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ].
% 49.27/49.48 apply (zenon_L159_); trivial.
% 49.27/49.48 apply (zenon_L160_); trivial.
% 49.27/49.48 apply (zenon_L215_); trivial.
% 49.27/49.48 (* end of lemma zenon_L474_ *)
% 49.27/49.48 assert (zenon_L475_ : (~((e22) = (e23))) -> (~((e20) = (e23))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (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) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((e21) = (e23))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (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 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (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 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((e20) = (e21))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> False).
% 49.27/49.48 do 0 intro. intros zenon_H28b zenon_H1a7 zenon_H2cf zenon_H2b9 zenon_H325 zenon_H322 zenon_H1e6 zenon_H218 zenon_H33a zenon_H336 zenon_H264 zenon_H274 zenon_H241 zenon_H2a5 zenon_H2e4 zenon_H2f2 zenon_H1ba zenon_H1bd zenon_H2e5 zenon_H1c4 zenon_H2da zenon_H2fc zenon_H205 zenon_H2ce zenon_H1f5 zenon_H285 zenon_H2bc zenon_H298 zenon_H2af zenon_H297 zenon_H291 zenon_H2d8 zenon_H1d2 zenon_H30a zenon_H2f4 zenon_H1fc zenon_H250 zenon_H1f0 zenon_H210 zenon_H213 zenon_H308 zenon_H228 zenon_H1dd zenon_H25a zenon_H282 zenon_H2ff zenon_H253 zenon_H2cb zenon_H2c0 zenon_H2d4 zenon_H307 zenon_H277 zenon_H1e1 zenon_H2e6 zenon_H2d9 zenon_H301 zenon_H2fa zenon_H19d zenon_H28d zenon_H1c9 zenon_H342 zenon_H31f zenon_H331 zenon_H194 zenon_H2b4 zenon_H1c8 zenon_H317 zenon_H2db zenon_H1ad zenon_H19e zenon_H1b4 zenon_H350 zenon_H32b zenon_H2ed zenon_H328 zenon_H34b zenon_H31c zenon_H31a zenon_H2a0 zenon_H195 zenon_H271 zenon_H348 zenon_H19b zenon_H14 zenon_H29c.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H32c ].
% 49.27/49.48 apply (zenon_L165_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H32d ].
% 49.27/49.48 apply (zenon_L170_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H30d | zenon_intro zenon_H29b ].
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H1ec | zenon_intro zenon_H2dc ].
% 49.27/49.48 apply (zenon_L464_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H288 | zenon_intro zenon_H2e3 ].
% 49.27/49.48 apply (zenon_L294_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H25e | zenon_intro zenon_H28a ].
% 49.27/49.48 apply (zenon_L472_); trivial.
% 49.27/49.48 apply (zenon_L474_); trivial.
% 49.27/49.48 apply (zenon_L222_); trivial.
% 49.27/49.48 (* end of lemma zenon_L475_ *)
% 49.27/49.48 assert (zenon_L476_ : (((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e11) (op1 (e10) (e11))) = (e11))/\(((op1 (e12) (op1 (e10) (e12))) = (e12))/\((op1 (e13) (op1 (e10) (e13))) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e13)) = (e11)) -> ((op1 (e13) (e12)) = (e13)) -> False).
% 49.27/49.48 do 0 intro. intros zenon_H9d zenon_Hae zenon_He6 zenon_Haf.
% 49.27/49.48 apply (zenon_and_s _ _ zenon_H9d). zenon_intro zenon_Ha0. zenon_intro zenon_H9f.
% 49.27/49.48 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_Ha2. zenon_intro zenon_Ha1.
% 49.27/49.48 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_Ha4. zenon_intro zenon_Ha3.
% 49.27/49.48 cut (((op1 (e13) (op1 (e10) (e13))) = (e13)) = ((op1 (e13) (e11)) = (op1 (e13) (e12)))).
% 49.27/49.48 intro zenon_D_pnotp.
% 49.27/49.48 apply zenon_Hae.
% 49.27/49.48 rewrite <- zenon_D_pnotp.
% 49.27/49.48 exact zenon_Ha3.
% 49.27/49.48 cut (((e13) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_Hb6].
% 49.27/49.48 cut (((op1 (e13) (op1 (e10) (e13))) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H12e].
% 49.27/49.48 congruence.
% 49.27/49.48 elim (classic ((op1 (e13) (e11)) = (op1 (e13) (e11)))); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hb9 ].
% 49.27/49.48 cut (((op1 (e13) (e11)) = (op1 (e13) (e11))) = ((op1 (e13) (op1 (e10) (e13))) = (op1 (e13) (e11)))).
% 49.27/49.48 intro zenon_D_pnotp.
% 49.27/49.48 apply zenon_H12e.
% 49.27/49.48 rewrite <- zenon_D_pnotp.
% 49.27/49.48 exact zenon_Hb8.
% 49.27/49.48 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_Hb9].
% 49.27/49.48 cut (((op1 (e13) (e11)) = (op1 (e13) (op1 (e10) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H129].
% 49.27/49.48 congruence.
% 49.27/49.48 apply (zenon_L73_); trivial.
% 49.27/49.48 apply zenon_Hb9. apply refl_equal.
% 49.27/49.48 apply zenon_Hb9. apply refl_equal.
% 49.27/49.48 apply zenon_Hb6. apply sym_equal. exact zenon_Haf.
% 49.27/49.48 (* end of lemma zenon_L476_ *)
% 49.27/49.48 assert (zenon_L477_ : (((op1 (e10) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e12) (op1 (e11) (e12))) = (e12))/\((op1 (e13) (op1 (e11) (e13))) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (e11)) = (e10)) -> ((op1 (e12) (e10)) = (e11)) -> False).
% 49.27/49.48 do 0 intro. intros zenon_Had zenon_H33 zenon_H60 zenon_H353.
% 49.27/49.48 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hb1. zenon_intro zenon_Hb0.
% 49.27/49.48 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Hb3. zenon_intro zenon_Hb2.
% 49.27/49.48 cut (((op1 (e11) (op1 (e11) (e11))) = (e11)) = ((op1 (e11) (e10)) = (op1 (e12) (e10)))).
% 49.27/49.48 intro zenon_D_pnotp.
% 49.27/49.48 apply zenon_H33.
% 49.27/49.48 rewrite <- zenon_D_pnotp.
% 49.27/49.48 exact zenon_Hb3.
% 49.27/49.48 cut (((e11) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H354].
% 49.27/49.48 cut (((op1 (e11) (op1 (e11) (e11))) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H355].
% 49.27/49.48 congruence.
% 49.27/49.48 elim (classic ((op1 (e11) (e10)) = (op1 (e11) (e10)))); [ zenon_intro zenon_H5d | zenon_intro zenon_H5e ].
% 49.27/49.48 cut (((op1 (e11) (e10)) = (op1 (e11) (e10))) = ((op1 (e11) (op1 (e11) (e11))) = (op1 (e11) (e10)))).
% 49.27/49.48 intro zenon_D_pnotp.
% 49.27/49.48 apply zenon_H355.
% 49.27/49.48 rewrite <- zenon_D_pnotp.
% 49.27/49.48 exact zenon_H5d.
% 49.27/49.48 cut (((op1 (e11) (e10)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H5e].
% 49.27/49.48 cut (((op1 (e11) (e10)) = (op1 (e11) (op1 (e11) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H356].
% 49.27/49.48 congruence.
% 49.27/49.48 cut (((e10) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H357].
% 49.27/49.48 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H51].
% 49.27/49.48 congruence.
% 49.27/49.48 apply zenon_H51. apply refl_equal.
% 49.27/49.48 apply zenon_H357. apply sym_equal. exact zenon_H60.
% 49.27/49.48 apply zenon_H5e. apply refl_equal.
% 49.27/49.48 apply zenon_H5e. apply refl_equal.
% 49.27/49.48 apply zenon_H354. apply sym_equal. exact zenon_H353.
% 49.27/49.48 (* end of lemma zenon_L477_ *)
% 49.27/49.48 assert (zenon_L478_ : ((op1 (e13) (e12)) = (e13)) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e11) (e11)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e13)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e12)) -> False).
% 49.27/49.48 do 0 intro. intros zenon_Haf zenon_He6 zenon_Hae zenon_H353 zenon_H60 zenon_H33 zenon_Hea zenon_H1f zenon_Hfb zenon_H24 zenon_H117 zenon_H9b.
% 49.27/49.48 apply (zenon_or_s _ _ ax10); [ zenon_intro zenon_H9d | zenon_intro zenon_Hd4 ].
% 49.27/49.48 apply (zenon_L476_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Had | zenon_intro zenon_Hd5 ].
% 49.27/49.48 apply (zenon_L477_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hc6 ].
% 49.27/49.48 apply (zenon_L94_); trivial.
% 49.27/49.48 apply (zenon_L76_); trivial.
% 49.27/49.48 (* end of lemma zenon_L478_ *)
% 49.27/49.48 assert (zenon_L479_ : ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e11) (e11)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e13)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e12)) = (e13)) -> ((op1 (e13) (e13)) = (e12)) -> False).
% 49.27/49.48 do 0 intro. intros zenon_He6 zenon_Hae zenon_H353 zenon_H60 zenon_H33 zenon_Hea zenon_H1f zenon_Hfb zenon_H24 zenon_Hc7 zenon_Haf zenon_Hc8.
% 49.27/49.48 apply (zenon_or_s _ _ ax10); [ zenon_intro zenon_H9d | zenon_intro zenon_Hd4 ].
% 49.27/49.48 apply (zenon_L476_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Had | zenon_intro zenon_Hd5 ].
% 49.27/49.48 apply (zenon_L477_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hc6 ].
% 49.27/49.48 apply (zenon_L94_); trivial.
% 49.27/49.48 apply (zenon_L38_); trivial.
% 49.27/49.48 (* end of lemma zenon_L479_ *)
% 49.27/49.48 assert (zenon_L480_ : (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> ((op1 (e13) (e10)) = (e10)) -> (~((e11) = (e12))) -> ((op1 (e13) (e11)) = (e11)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e11) (e11)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e13)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e12)) = (e13)) -> False).
% 49.27/49.48 do 0 intro. intros zenon_Hd6 zenon_H76 zenon_H91 zenon_H96 zenon_H94 zenon_H117 zenon_He6 zenon_Hae zenon_H353 zenon_H60 zenon_H33 zenon_Hea zenon_H1f zenon_Hfb zenon_H24 zenon_Hc7 zenon_Haf.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H92 | zenon_intro zenon_Hd7 ].
% 49.27/49.48 apply (zenon_L29_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H95 | zenon_intro zenon_Hd8 ].
% 49.27/49.48 apply (zenon_L30_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hc8 ].
% 49.27/49.48 apply (zenon_L478_); trivial.
% 49.27/49.48 apply (zenon_L479_); trivial.
% 49.27/49.48 (* end of lemma zenon_L480_ *)
% 49.27/49.48 assert (zenon_L481_ : ((op1 (e13) (e11)) = (e10)) -> ((op1 (e13) (e11)) = (e11)) -> (~((e10) = (e11))) -> False).
% 49.27/49.48 do 0 intro. intros zenon_H18b zenon_H94 zenon_H4f.
% 49.27/49.48 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H50 | zenon_intro zenon_H51 ].
% 49.27/49.48 cut (((e11) = (e11)) = ((e10) = (e11))).
% 49.27/49.48 intro zenon_D_pnotp.
% 49.27/49.48 apply zenon_H4f.
% 49.27/49.48 rewrite <- zenon_D_pnotp.
% 49.27/49.48 exact zenon_H50.
% 49.27/49.48 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H51].
% 49.27/49.48 cut (((e11) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H52].
% 49.27/49.48 congruence.
% 49.27/49.48 cut (((op1 (e13) (e11)) = (e10)) = ((e11) = (e10))).
% 49.27/49.48 intro zenon_D_pnotp.
% 49.27/49.48 apply zenon_H52.
% 49.27/49.48 rewrite <- zenon_D_pnotp.
% 49.27/49.48 exact zenon_H18b.
% 49.27/49.48 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H2a].
% 49.27/49.48 cut (((op1 (e13) (e11)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H358].
% 49.27/49.48 congruence.
% 49.27/49.48 exact (zenon_H358 zenon_H94).
% 49.27/49.48 apply zenon_H2a. apply refl_equal.
% 49.27/49.48 apply zenon_H51. apply refl_equal.
% 49.27/49.48 apply zenon_H51. apply refl_equal.
% 49.27/49.48 (* end of lemma zenon_L481_ *)
% 49.27/49.48 assert (zenon_L482_ : (~((op1 (e13) (e10)) = (op1 (e13) (op1 (e13) (e13))))) -> ((op1 (e13) (e13)) = (e10)) -> False).
% 49.27/49.48 do 0 intro. intros zenon_H359 zenon_H35a.
% 49.27/49.48 cut (((e10) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H35b].
% 49.27/49.48 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2f].
% 49.27/49.48 congruence.
% 49.27/49.48 apply zenon_H2f. apply refl_equal.
% 49.27/49.48 apply zenon_H35b. apply sym_equal. exact zenon_H35a.
% 49.27/49.48 (* end of lemma zenon_L482_ *)
% 49.27/49.48 assert (zenon_L483_ : (((op1 (e10) (op1 (e13) (e10))) = (e10))/\(((op1 (e11) (op1 (e13) (e11))) = (e11))/\(((op1 (e12) (op1 (e13) (e12))) = (e12))/\((op1 (e13) (op1 (e13) (e13))) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e13)) = (e10)) -> ((op1 (e13) (e12)) = (e13)) -> False).
% 49.27/49.48 do 0 intro. intros zenon_Hc6 zenon_H18e zenon_H35a zenon_Haf.
% 49.27/49.48 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hca. zenon_intro zenon_Hc9.
% 49.27/49.48 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hcc. zenon_intro zenon_Hcb.
% 49.27/49.48 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hce. zenon_intro zenon_Hcd.
% 49.27/49.48 cut (((op1 (e13) (op1 (e13) (e13))) = (e13)) = ((op1 (e13) (e10)) = (op1 (e13) (e12)))).
% 49.27/49.48 intro zenon_D_pnotp.
% 49.27/49.48 apply zenon_H18e.
% 49.27/49.48 rewrite <- zenon_D_pnotp.
% 49.27/49.48 exact zenon_Hcd.
% 49.27/49.48 cut (((e13) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_Hb6].
% 49.27/49.48 cut (((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H35c].
% 49.27/49.48 congruence.
% 49.27/49.48 elim (classic ((op1 (e13) (e10)) = (op1 (e13) (e10)))); [ zenon_intro zenon_H3b | zenon_intro zenon_H3c ].
% 49.27/49.48 cut (((op1 (e13) (e10)) = (op1 (e13) (e10))) = ((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e10)))).
% 49.27/49.48 intro zenon_D_pnotp.
% 49.27/49.48 apply zenon_H35c.
% 49.27/49.48 rewrite <- zenon_D_pnotp.
% 49.27/49.48 exact zenon_H3b.
% 49.27/49.48 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H3c].
% 49.27/49.48 cut (((op1 (e13) (e10)) = (op1 (e13) (op1 (e13) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H359].
% 49.27/49.48 congruence.
% 49.27/49.48 apply (zenon_L482_); trivial.
% 49.27/49.48 apply zenon_H3c. apply refl_equal.
% 49.27/49.48 apply zenon_H3c. apply refl_equal.
% 49.27/49.48 apply zenon_Hb6. apply sym_equal. exact zenon_Haf.
% 49.27/49.48 (* end of lemma zenon_L483_ *)
% 49.27/49.48 assert (zenon_L484_ : ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e11) (e11)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e13)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e13)) = (e10)) -> ((op1 (e13) (e12)) = (e13)) -> False).
% 49.27/49.48 do 0 intro. intros zenon_He6 zenon_Hae zenon_H353 zenon_H60 zenon_H33 zenon_Hea zenon_H1f zenon_Hfb zenon_H24 zenon_H18e zenon_H35a zenon_Haf.
% 49.27/49.48 apply (zenon_or_s _ _ ax10); [ zenon_intro zenon_H9d | zenon_intro zenon_Hd4 ].
% 49.27/49.48 apply (zenon_L476_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Had | zenon_intro zenon_Hd5 ].
% 49.27/49.48 apply (zenon_L477_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hc6 ].
% 49.27/49.48 apply (zenon_L94_); trivial.
% 49.27/49.48 apply (zenon_L483_); trivial.
% 49.27/49.48 (* end of lemma zenon_L484_ *)
% 49.27/49.48 assert (zenon_L485_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e11) (e11)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e13)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e12) (e12)) = (e13)) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> False).
% 49.27/49.48 do 0 intro. intros zenon_H135 zenon_H3a zenon_H9e zenon_H99 zenon_H64 zenon_H122 zenon_H126 zenon_He6 zenon_Hae zenon_H353 zenon_H60 zenon_H33 zenon_Hea zenon_H1f zenon_H18e zenon_H35a zenon_H146 zenon_H58 zenon_H151 zenon_H24 zenon_H89 zenon_H20 zenon_H15a.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H39 | zenon_intro zenon_H136 ].
% 49.27/49.48 apply (zenon_L8_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hdc | zenon_intro zenon_H137 ].
% 49.27/49.48 apply (zenon_L72_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Haf | zenon_intro zenon_H12c ].
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H8c | zenon_intro zenon_H152 ].
% 49.27/49.48 apply (zenon_L46_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H145 | zenon_intro zenon_H153 ].
% 49.27/49.48 apply (zenon_L93_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_Hfb | zenon_intro zenon_H12c ].
% 49.27/49.48 apply (zenon_L484_); trivial.
% 49.27/49.48 apply (zenon_L104_); trivial.
% 49.27/49.48 apply (zenon_L104_); trivial.
% 49.27/49.48 (* end of lemma zenon_L485_ *)
% 49.27/49.48 assert (zenon_L486_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e11))) -> ((op1 (e13) (e11)) = (e11)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e11) (e11)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e12) (e12)) = (e13)) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> False).
% 49.27/49.48 do 0 intro. intros zenon_H35d zenon_H8b zenon_Hc7 zenon_H96 zenon_H76 zenon_Hd6 zenon_H4f zenon_H94 zenon_H117 zenon_H135 zenon_H3a zenon_H9e zenon_H99 zenon_H64 zenon_H122 zenon_H126 zenon_He6 zenon_Hae zenon_H353 zenon_H60 zenon_H33 zenon_Hea zenon_H1f zenon_H18e zenon_H146 zenon_H58 zenon_H151 zenon_H24 zenon_H89 zenon_H20 zenon_H15a.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_H91 | zenon_intro zenon_H35e ].
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H39 | zenon_intro zenon_H136 ].
% 49.27/49.48 apply (zenon_L8_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hdc | zenon_intro zenon_H137 ].
% 49.27/49.48 apply (zenon_L42_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Haf | zenon_intro zenon_H12c ].
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H8c | zenon_intro zenon_H152 ].
% 49.27/49.48 apply (zenon_L28_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H145 | zenon_intro zenon_H153 ].
% 49.27/49.48 apply (zenon_L93_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_Hfb | zenon_intro zenon_H12c ].
% 49.27/49.48 apply (zenon_L480_); trivial.
% 49.27/49.48 apply (zenon_L104_); trivial.
% 49.27/49.48 apply (zenon_L104_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H18b | zenon_intro zenon_H35f ].
% 49.27/49.48 apply (zenon_L481_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H116 | zenon_intro zenon_H35a ].
% 49.27/49.48 apply (zenon_L65_); trivial.
% 49.27/49.48 apply (zenon_L485_); trivial.
% 49.27/49.48 (* end of lemma zenon_L486_ *)
% 49.27/49.48 assert (zenon_L487_ : (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> ((op1 (e11) (e12)) = (e11)) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e11))) -> ((op1 (e13) (e11)) = (e11)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e11) (e11)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> False).
% 49.27/49.48 do 0 intro. intros zenon_Hfd zenon_H54 zenon_H18d zenon_H15a zenon_H151 zenon_H58 zenon_H146 zenon_H126 zenon_H122 zenon_H9e zenon_H3a zenon_H135 zenon_H8b zenon_Hd9 zenon_H11d zenon_H99 zenon_H9a zenon_H64 zenon_H11e zenon_H82 zenon_H185 zenon_H20 zenon_H35d zenon_Hc7 zenon_H96 zenon_H76 zenon_Hd6 zenon_H4f zenon_H94 zenon_H117 zenon_He6 zenon_Hae zenon_H353 zenon_H60 zenon_H33 zenon_Hea zenon_H1f zenon_H24 zenon_H18e.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hfe ].
% 49.27/49.48 apply (zenon_L7_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hff ].
% 49.27/49.48 apply (zenon_L144_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H89 | zenon_intro zenon_Hfb ].
% 49.27/49.48 apply (zenon_L486_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H57 | zenon_intro zenon_Hda ].
% 49.27/49.48 apply (zenon_L68_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H81 | zenon_intro zenon_Hdb ].
% 49.27/49.48 apply (zenon_L26_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H89 | zenon_intro zenon_Haf ].
% 49.27/49.48 apply (zenon_L132_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_H91 | zenon_intro zenon_H35e ].
% 49.27/49.48 apply (zenon_L480_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H18b | zenon_intro zenon_H35f ].
% 49.27/49.48 apply (zenon_L481_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H116 | zenon_intro zenon_H35a ].
% 49.27/49.48 apply (zenon_L65_); trivial.
% 49.27/49.48 apply (zenon_L484_); trivial.
% 49.27/49.48 (* end of lemma zenon_L487_ *)
% 49.27/49.48 assert (zenon_L488_ : (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((e10) = (e11))) -> ((op1 (e13) (e11)) = (e10)) -> ((op1 (e11) (e12)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e11)) -> False).
% 49.27/49.48 do 0 intro. intros zenon_H126 zenon_H122 zenon_H1f zenon_H20 zenon_H4f zenon_H18b zenon_H64 zenon_H99 zenon_H9e zenon_He6.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H121 | zenon_intro zenon_H127 ].
% 49.27/49.48 apply (zenon_L70_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H94 | zenon_intro zenon_H128 ].
% 49.27/49.48 apply (zenon_L481_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H11b | zenon_intro zenon_Hf3 ].
% 49.27/49.48 apply (zenon_L66_); trivial.
% 49.27/49.48 apply (zenon_L71_); trivial.
% 49.27/49.48 (* end of lemma zenon_L488_ *)
% 49.27/49.48 assert (zenon_L489_ : (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e12) (e12)) = (e11)) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> False).
% 49.27/49.48 do 0 intro. intros zenon_H360 zenon_H24 zenon_H54 zenon_H13d zenon_H20.
% 49.27/49.48 cut (((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) = ((op1 (e10) (e11)) = (op1 (e11) (e11)))).
% 49.27/49.48 intro zenon_D_pnotp.
% 49.27/49.48 apply zenon_H360.
% 49.27/49.48 rewrite <- zenon_D_pnotp.
% 49.27/49.48 exact zenon_H24.
% 49.27/49.48 cut (((op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12))) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H13c].
% 49.27/49.48 cut (((e13) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H361].
% 49.27/49.48 congruence.
% 49.27/49.48 elim (classic ((op1 (e10) (e11)) = (op1 (e10) (e11)))); [ zenon_intro zenon_H1a | zenon_intro zenon_H1b ].
% 49.27/49.48 cut (((op1 (e10) (e11)) = (op1 (e10) (e11))) = ((e13) = (op1 (e10) (e11)))).
% 49.27/49.48 intro zenon_D_pnotp.
% 49.27/49.48 apply zenon_H361.
% 49.27/49.48 rewrite <- zenon_D_pnotp.
% 49.27/49.48 exact zenon_H1a.
% 49.27/49.48 cut (((op1 (e10) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H1b].
% 49.27/49.48 cut (((op1 (e10) (e11)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H55].
% 49.27/49.48 congruence.
% 49.27/49.48 exact (zenon_H55 zenon_H54).
% 49.27/49.48 apply zenon_H1b. apply refl_equal.
% 49.27/49.48 apply zenon_H1b. apply refl_equal.
% 49.27/49.48 apply (zenon_L87_); trivial.
% 49.27/49.48 (* end of lemma zenon_L489_ *)
% 49.27/49.48 assert (zenon_L490_ : (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e12)) -> ((op1 (e11) (e12)) = (e12)) -> False).
% 49.27/49.48 do 0 intro. intros zenon_H63 zenon_He4 zenon_H9a.
% 49.27/49.48 cut (((op1 (e10) (e12)) = (e12)) = ((op1 (e10) (e12)) = (op1 (e11) (e12)))).
% 49.27/49.48 intro zenon_D_pnotp.
% 49.27/49.48 apply zenon_H63.
% 49.27/49.48 rewrite <- zenon_D_pnotp.
% 49.27/49.48 exact zenon_He4.
% 49.27/49.48 cut (((e12) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_Hf0].
% 49.27/49.48 cut (((op1 (e10) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H66].
% 49.27/49.48 congruence.
% 49.27/49.48 apply zenon_H66. apply refl_equal.
% 49.27/49.48 apply zenon_Hf0. apply sym_equal. exact zenon_H9a.
% 49.27/49.48 (* end of lemma zenon_L490_ *)
% 49.27/49.48 assert (zenon_L491_ : (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e13) (e12)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> False).
% 49.27/49.48 do 0 intro. intros zenon_H108 zenon_He0 zenon_H11b zenon_H99 zenon_He4 zenon_H63 zenon_H24 zenon_H1f zenon_H20 zenon_H82.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_He1 | zenon_intro zenon_H109 ].
% 49.27/49.48 apply (zenon_L44_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H64 | zenon_intro zenon_H10a ].
% 49.27/49.48 apply (zenon_L66_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_H9a | zenon_intro zenon_H81 ].
% 49.27/49.48 apply (zenon_L490_); trivial.
% 49.27/49.48 apply (zenon_L26_); trivial.
% 49.27/49.48 (* end of lemma zenon_L491_ *)
% 49.27/49.48 assert (zenon_L492_ : (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((e11) = (e12))) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e11)) = (e10)) -> (~((e10) = (e11))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> False).
% 49.27/49.48 do 0 intro. intros zenon_H155 zenon_H96 zenon_He6 zenon_H9e zenon_H18b zenon_H4f zenon_H122 zenon_H126 zenon_H54 zenon_H360 zenon_H108 zenon_He0 zenon_H99 zenon_He4 zenon_H63 zenon_H24 zenon_H1f zenon_H20 zenon_H82.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H56 | zenon_intro zenon_H158 ].
% 49.27/49.48 apply (zenon_L45_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H64 | zenon_intro zenon_H159 ].
% 49.27/49.48 apply (zenon_L488_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H13d | zenon_intro zenon_H11b ].
% 49.27/49.48 apply (zenon_L489_); trivial.
% 49.27/49.48 apply (zenon_L491_); trivial.
% 49.27/49.48 (* end of lemma zenon_L492_ *)
% 49.27/49.48 assert (zenon_L493_ : (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e12)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e11)) = (e11)) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e13) (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) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e10) (e11)) = (e13)) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e11) = (e12))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e11) (e11)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> False).
% 49.27/49.48 do 0 intro. intros zenon_Hfd zenon_H18d zenon_H15a zenon_H151 zenon_H58 zenon_H146 zenon_H64 zenon_H3a zenon_H135 zenon_H8b zenon_Hd9 zenon_H111 zenon_H185 zenon_H35d zenon_Hc7 zenon_H94 zenon_H76 zenon_Hd6 zenon_H82 zenon_H20 zenon_H63 zenon_He4 zenon_H99 zenon_He0 zenon_H108 zenon_H360 zenon_H54 zenon_H126 zenon_H122 zenon_H4f zenon_H9e zenon_H96 zenon_H155 zenon_H117 zenon_He6 zenon_Hae zenon_H353 zenon_H60 zenon_H33 zenon_Hea zenon_H1f zenon_H24 zenon_H18e.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hfe ].
% 49.27/49.48 apply (zenon_L7_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hff ].
% 49.27/49.48 apply (zenon_L144_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H89 | zenon_intro zenon_Hfb ].
% 49.27/49.48 apply (zenon_L486_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H57 | zenon_intro zenon_Hda ].
% 49.27/49.48 apply (zenon_L69_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H81 | zenon_intro zenon_Hdb ].
% 49.27/49.48 apply (zenon_L26_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H89 | zenon_intro zenon_Haf ].
% 49.27/49.48 apply (zenon_L132_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_H91 | zenon_intro zenon_H35e ].
% 49.27/49.48 apply (zenon_L480_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H18b | zenon_intro zenon_H35f ].
% 49.27/49.48 apply (zenon_L492_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H116 | zenon_intro zenon_H35a ].
% 49.27/49.48 apply (zenon_L65_); trivial.
% 49.27/49.48 apply (zenon_L484_); trivial.
% 49.27/49.48 (* end of lemma zenon_L493_ *)
% 49.27/49.48 assert (zenon_L494_ : (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e13)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e12) (e12)) = (e12)) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> False).
% 49.27/49.48 do 0 intro. intros zenon_Hd9 zenon_H63 zenon_H82 zenon_H1f zenon_H185 zenon_Hfb zenon_H24 zenon_H101 zenon_H20 zenon_H99.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H57 | zenon_intro zenon_Hda ].
% 49.27/49.48 apply (zenon_L57_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H81 | zenon_intro zenon_Hdb ].
% 49.27/49.48 apply (zenon_L26_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H89 | zenon_intro zenon_Haf ].
% 49.27/49.48 apply (zenon_L132_); trivial.
% 49.27/49.48 apply (zenon_L58_); trivial.
% 49.27/49.48 (* end of lemma zenon_L494_ *)
% 49.27/49.48 assert (zenon_L495_ : ((op1 (e13) (e13)) = (e13)) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e13)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e12)) -> False).
% 49.27/49.48 do 0 intro. intros zenon_H12c zenon_He6 zenon_H12b zenon_H11d zenon_H57 zenon_Hde zenon_Hea zenon_H1f zenon_Hfb zenon_H24 zenon_H117 zenon_H9b.
% 49.27/49.48 apply (zenon_or_s _ _ ax10); [ zenon_intro zenon_H9d | zenon_intro zenon_Hd4 ].
% 49.27/49.48 apply (zenon_L74_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Had | zenon_intro zenon_Hd5 ].
% 49.27/49.48 apply (zenon_L75_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hc6 ].
% 49.27/49.48 apply (zenon_L94_); trivial.
% 49.27/49.48 apply (zenon_L76_); trivial.
% 49.27/49.48 (* end of lemma zenon_L495_ *)
% 49.27/49.48 assert (zenon_L496_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e11)) -> (~((e11) = (e13))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e13)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e12)) -> False).
% 49.27/49.48 do 0 intro. intros zenon_H135 zenon_H3a zenon_H9e zenon_H99 zenon_H64 zenon_H58 zenon_H20 zenon_H122 zenon_H126 zenon_He6 zenon_H12b zenon_H11d zenon_H57 zenon_Hde zenon_Hea zenon_H1f zenon_Hfb zenon_H24 zenon_H117 zenon_H9b.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H39 | zenon_intro zenon_H136 ].
% 49.27/49.48 apply (zenon_L8_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hdc | zenon_intro zenon_H137 ].
% 49.27/49.48 apply (zenon_L72_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Haf | zenon_intro zenon_H12c ].
% 49.27/49.48 apply (zenon_L67_); trivial.
% 49.27/49.48 apply (zenon_L495_); trivial.
% 49.27/49.48 (* end of lemma zenon_L496_ *)
% 49.27/49.48 assert (zenon_L497_ : (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (e11)) = (e10)) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e10) (e11)) = (e13)) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e10) (e10)) = (e12)) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e13)) = (e11)) -> False).
% 49.27/49.48 do 0 intro. intros zenon_H15f zenon_H117 zenon_H24 zenon_H1f zenon_Hea zenon_H33 zenon_H60 zenon_H353 zenon_Hae zenon_H20 zenon_H185 zenon_H82 zenon_H135 zenon_H3a zenon_H9e zenon_H99 zenon_H58 zenon_H122 zenon_H126 zenon_H12b zenon_H11d zenon_Hd9 zenon_H35d zenon_Hc7 zenon_H96 zenon_H76 zenon_Hd6 zenon_H4f zenon_H18e zenon_H146 zenon_H151 zenon_H15a zenon_H18d zenon_H54 zenon_Hfd zenon_H63 zenon_H11e zenon_H111 zenon_He0 zenon_H108 zenon_H360 zenon_H155 zenon_H10b zenon_H23 zenon_H72 zenon_H160 zenon_H6c zenon_H16c zenon_H8b zenon_He6.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H5b | zenon_intro zenon_H165 ].
% 49.27/49.48 apply (zenon_L18_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H61 | zenon_intro zenon_H166 ].
% 49.27/49.48 apply (zenon_L19_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H64 | zenon_intro zenon_Hab ].
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H4e | zenon_intro zenon_H171 ].
% 49.27/49.48 apply (zenon_L113_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H61 | zenon_intro zenon_H172 ].
% 49.27/49.48 apply (zenon_L19_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H6b | zenon_intro zenon_H94 ].
% 49.27/49.48 apply (zenon_L22_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H73 | zenon_intro zenon_H167 ].
% 49.27/49.48 apply (zenon_L23_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H75 | zenon_intro zenon_H168 ].
% 49.27/49.48 apply (zenon_L24_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H9a | zenon_intro zenon_Hde ].
% 49.27/49.48 apply (zenon_L487_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_He4 | zenon_intro zenon_H10c ].
% 49.27/49.48 apply (zenon_L493_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H9a | zenon_intro zenon_H10d ].
% 49.27/49.48 apply (zenon_L487_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H101 | zenon_intro zenon_H9b ].
% 49.27/49.48 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hfe ].
% 49.27/49.48 apply (zenon_L7_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hff ].
% 49.27/49.48 apply (zenon_L144_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H89 | zenon_intro zenon_Hfb ].
% 49.27/49.48 apply (zenon_L486_); trivial.
% 49.27/49.48 apply (zenon_L494_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hfe ].
% 49.27/49.48 apply (zenon_L7_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hff ].
% 49.27/49.48 apply (zenon_L144_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H89 | zenon_intro zenon_Hfb ].
% 49.27/49.48 apply (zenon_L486_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H57 | zenon_intro zenon_Hda ].
% 49.27/49.48 apply (zenon_L496_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H81 | zenon_intro zenon_Hdb ].
% 49.27/49.48 apply (zenon_L26_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H89 | zenon_intro zenon_Haf ].
% 49.27/49.48 apply (zenon_L132_); trivial.
% 49.27/49.48 apply (zenon_L478_); trivial.
% 49.27/49.48 apply (zenon_L80_); trivial.
% 49.27/49.48 (* end of lemma zenon_L497_ *)
% 49.27/49.48 assert (zenon_L498_ : ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e13)) = (e13)) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e13)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e12)) -> False).
% 49.27/49.48 do 0 intro. intros zenon_He6 zenon_H12b zenon_H12c zenon_He7 zenon_H13a zenon_Hea zenon_H1f zenon_Hfb zenon_H24 zenon_H117 zenon_H9b.
% 49.27/49.48 apply (zenon_or_s _ _ ax10); [ zenon_intro zenon_H9d | zenon_intro zenon_Hd4 ].
% 49.27/49.48 apply (zenon_L74_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Had | zenon_intro zenon_Hd5 ].
% 49.27/49.48 apply (zenon_L83_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hc6 ].
% 49.27/49.48 apply (zenon_L94_); trivial.
% 49.27/49.48 apply (zenon_L76_); trivial.
% 49.27/49.48 (* end of lemma zenon_L498_ *)
% 49.27/49.48 assert (zenon_L499_ : (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e12)) = (e13)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (e11)) = (e10)) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e13)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e12)) -> False).
% 49.27/49.48 do 0 intro. intros zenon_H362 zenon_H18e zenon_H9e zenon_Haf zenon_Hc7 zenon_H33 zenon_H60 zenon_H353 zenon_Hae zenon_He6 zenon_H12b zenon_He7 zenon_H13a zenon_Hea zenon_H1f zenon_Hfb zenon_H24 zenon_H117 zenon_H9b.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H362); [ zenon_intro zenon_H35a | zenon_intro zenon_H363 ].
% 49.27/49.48 apply (zenon_L484_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H363); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H364 ].
% 49.27/49.48 apply (zenon_L71_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H364); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H12c ].
% 49.27/49.48 apply (zenon_L479_); trivial.
% 49.27/49.48 apply (zenon_L498_); trivial.
% 49.27/49.48 (* end of lemma zenon_L499_ *)
% 49.27/49.48 assert (zenon_L500_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e13)) = (op1 (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 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e11))) -> ((op1 (e13) (e11)) = (e11)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e11) (e11)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e13)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e13)) -> False).
% 49.27/49.48 do 0 intro. intros zenon_H35d zenon_Hc7 zenon_H362 zenon_H9e zenon_H12b zenon_He7 zenon_H13a zenon_H96 zenon_H76 zenon_Hd6 zenon_H4f zenon_H94 zenon_H117 zenon_He6 zenon_Hae zenon_H353 zenon_H60 zenon_H33 zenon_Hea zenon_H1f zenon_Hfb zenon_H24 zenon_H18e zenon_Haf.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_H91 | zenon_intro zenon_H35e ].
% 49.27/49.48 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H92 | zenon_intro zenon_Hd7 ].
% 49.27/49.48 apply (zenon_L29_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H95 | zenon_intro zenon_Hd8 ].
% 49.27/49.48 apply (zenon_L30_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hc8 ].
% 49.27/49.48 apply (zenon_L499_); trivial.
% 49.27/49.48 apply (zenon_L479_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H18b | zenon_intro zenon_H35f ].
% 49.27/49.48 apply (zenon_L481_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H116 | zenon_intro zenon_H35a ].
% 49.27/49.48 apply (zenon_L65_); trivial.
% 49.27/49.48 apply (zenon_L484_); trivial.
% 49.27/49.48 (* end of lemma zenon_L500_ *)
% 49.27/49.48 assert (zenon_L501_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((e11) = (e13))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e13)) = (op1 (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 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e11))) -> ((op1 (e13) (e11)) = (e11)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e11) (e11)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e12) (e12)) = (e13)) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> False).
% 49.27/49.48 do 0 intro. intros zenon_H135 zenon_H3a zenon_H58 zenon_H35d zenon_Hc7 zenon_H362 zenon_H9e zenon_H12b zenon_He7 zenon_H13a zenon_H96 zenon_H76 zenon_Hd6 zenon_H4f zenon_H94 zenon_H117 zenon_He6 zenon_Hae zenon_H353 zenon_H60 zenon_H33 zenon_Hea zenon_H1f zenon_H18e zenon_H146 zenon_H8b zenon_H151 zenon_H24 zenon_H89 zenon_H20 zenon_H15a.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H39 | zenon_intro zenon_H136 ].
% 49.27/49.48 apply (zenon_L8_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hdc | zenon_intro zenon_H137 ].
% 49.27/49.48 apply (zenon_L42_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Haf | zenon_intro zenon_H12c ].
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H8c | zenon_intro zenon_H152 ].
% 49.27/49.48 apply (zenon_L28_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H145 | zenon_intro zenon_H153 ].
% 49.27/49.48 apply (zenon_L93_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_Hfb | zenon_intro zenon_H12c ].
% 49.27/49.48 apply (zenon_L500_); trivial.
% 49.27/49.48 apply (zenon_L104_); trivial.
% 49.27/49.48 apply (zenon_L104_); trivial.
% 49.27/49.48 (* end of lemma zenon_L501_ *)
% 49.27/49.48 assert (zenon_L502_ : (((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)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e12)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e13) (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) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e10) (e11)) = (e13)) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e11) = (e12))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e11) (e11)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> False).
% 49.27/49.48 do 0 intro. intros zenon_H16c zenon_H6c zenon_Hfd zenon_H18d zenon_H15a zenon_H151 zenon_H58 zenon_H146 zenon_H64 zenon_H3a zenon_H135 zenon_H8b zenon_Hd9 zenon_H111 zenon_H185 zenon_H35d zenon_Hc7 zenon_H76 zenon_Hd6 zenon_H82 zenon_H20 zenon_H63 zenon_He4 zenon_H99 zenon_He0 zenon_H108 zenon_H360 zenon_H54 zenon_H126 zenon_H122 zenon_H4f zenon_H9e zenon_H96 zenon_H155 zenon_H117 zenon_He6 zenon_Hae zenon_H353 zenon_H60 zenon_H33 zenon_Hea zenon_H1f zenon_H24 zenon_H18e.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H4e | zenon_intro zenon_H171 ].
% 49.27/49.48 apply (zenon_L113_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H61 | zenon_intro zenon_H172 ].
% 49.27/49.48 apply (zenon_L19_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H6b | zenon_intro zenon_H94 ].
% 49.27/49.48 apply (zenon_L22_); trivial.
% 49.27/49.48 apply (zenon_L493_); trivial.
% 49.27/49.48 (* end of lemma zenon_L502_ *)
% 49.27/49.48 assert (zenon_L503_ : (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e10) (e10)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e11) (e11)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((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) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e11)) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((op1 (e11) (e12)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> ((op1 (e13) (e11)) = (e11)) -> (~((e11) = (e13))) -> False).
% 49.27/49.48 do 0 intro. intros zenon_H160 zenon_H72 zenon_H23 zenon_H154 zenon_Hea zenon_H35d zenon_H8b zenon_Hc7 zenon_H96 zenon_H76 zenon_Hd6 zenon_H4f zenon_Hae zenon_H353 zenon_H60 zenon_H33 zenon_H18e zenon_H146 zenon_H151 zenon_H15a zenon_Hfd zenon_H16c zenon_H18d zenon_Hd9 zenon_H185 zenon_H82 zenon_He0 zenon_H108 zenon_H360 zenon_H155 zenon_H7b zenon_H117 zenon_H24 zenon_H1f zenon_H6c zenon_H57 zenon_H11d zenon_H12b zenon_He6 zenon_H126 zenon_H122 zenon_H20 zenon_H64 zenon_H99 zenon_H9e zenon_H3a zenon_H135 zenon_H63 zenon_H11e zenon_H111 zenon_H10b zenon_H94 zenon_H58.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H73 | zenon_intro zenon_H167 ].
% 49.27/49.48 apply (zenon_L23_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H75 | zenon_intro zenon_H168 ].
% 49.27/49.48 apply (zenon_L24_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H9a | zenon_intro zenon_Hde ].
% 49.27/49.48 apply (zenon_L68_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ].
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_He4 | zenon_intro zenon_H10c ].
% 49.27/49.48 apply (zenon_L502_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H9a | zenon_intro zenon_H10d ].
% 49.27/49.48 apply (zenon_L68_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H101 | zenon_intro zenon_H9b ].
% 49.27/49.48 apply (zenon_L57_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hfe ].
% 49.27/49.48 apply (zenon_L7_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hff ].
% 49.27/49.48 apply (zenon_L78_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H89 | zenon_intro zenon_Hfb ].
% 49.27/49.48 apply (zenon_L486_); trivial.
% 49.27/49.48 apply (zenon_L496_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ].
% 49.27/49.48 apply (zenon_L25_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ].
% 49.27/49.48 apply (zenon_L79_); trivial.
% 49.27/49.48 apply (zenon_L42_); trivial.
% 49.27/49.48 (* end of lemma zenon_L503_ *)
% 49.27/49.48 assert (zenon_L504_ : ((op1 (e13) (e11)) = (e10)) -> ((op1 (e13) (e11)) = (e13)) -> (~((e10) = (e13))) -> False).
% 49.27/49.48 do 0 intro. intros zenon_H18b zenon_Hdc zenon_H2d.
% 49.27/49.48 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H2e | zenon_intro zenon_H2f ].
% 49.27/49.48 cut (((e13) = (e13)) = ((e10) = (e13))).
% 49.27/49.48 intro zenon_D_pnotp.
% 49.27/49.48 apply zenon_H2d.
% 49.27/49.48 rewrite <- zenon_D_pnotp.
% 49.27/49.48 exact zenon_H2e.
% 49.27/49.48 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2f].
% 49.27/49.48 cut (((e13) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H30].
% 49.27/49.48 congruence.
% 49.27/49.48 cut (((op1 (e13) (e11)) = (e10)) = ((e13) = (e10))).
% 49.27/49.48 intro zenon_D_pnotp.
% 49.27/49.48 apply zenon_H30.
% 49.27/49.48 rewrite <- zenon_D_pnotp.
% 49.27/49.48 exact zenon_H18b.
% 49.27/49.48 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H2a].
% 49.27/49.48 cut (((op1 (e13) (e11)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_Hdd].
% 49.27/49.48 congruence.
% 49.27/49.48 exact (zenon_Hdd zenon_Hdc).
% 49.27/49.48 apply zenon_H2a. apply refl_equal.
% 49.27/49.48 apply zenon_H2f. apply refl_equal.
% 49.27/49.48 apply zenon_H2f. apply refl_equal.
% 49.27/49.48 (* end of lemma zenon_L504_ *)
% 49.27/49.48 assert (zenon_L505_ : ((op1 (e11) (e13)) = (e10)) -> ((op1 (e11) (e13)) = (e12)) -> (~((e10) = (e12))) -> False).
% 49.27/49.48 do 0 intro. intros zenon_He7 zenon_Hde zenon_H76.
% 49.27/49.48 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H77 | zenon_intro zenon_H48 ].
% 49.27/49.48 cut (((e12) = (e12)) = ((e10) = (e12))).
% 49.27/49.48 intro zenon_D_pnotp.
% 49.27/49.48 apply zenon_H76.
% 49.27/49.48 rewrite <- zenon_D_pnotp.
% 49.27/49.48 exact zenon_H77.
% 49.27/49.48 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H48].
% 49.27/49.48 cut (((e12) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H78].
% 49.27/49.48 congruence.
% 49.27/49.48 cut (((op1 (e11) (e13)) = (e10)) = ((e12) = (e10))).
% 49.27/49.48 intro zenon_D_pnotp.
% 49.27/49.48 apply zenon_H78.
% 49.27/49.48 rewrite <- zenon_D_pnotp.
% 49.27/49.48 exact zenon_He7.
% 49.27/49.48 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H2a].
% 49.27/49.48 cut (((op1 (e11) (e13)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Hdf].
% 49.27/49.48 congruence.
% 49.27/49.48 exact (zenon_Hdf zenon_Hde).
% 49.27/49.48 apply zenon_H2a. apply refl_equal.
% 49.27/49.48 apply zenon_H48. apply refl_equal.
% 49.27/49.48 apply zenon_H48. apply refl_equal.
% 49.27/49.48 (* end of lemma zenon_L505_ *)
% 49.27/49.48 assert (zenon_L506_ : ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e13)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e13)) = (e10)) -> ((op1 (e13) (e12)) = (e13)) -> False).
% 49.27/49.48 do 0 intro. intros zenon_He6 zenon_Hae zenon_He0 zenon_H9a zenon_Hea zenon_H1f zenon_Hfb zenon_H24 zenon_H18e zenon_H35a zenon_Haf.
% 49.27/49.48 apply (zenon_or_s _ _ ax10); [ zenon_intro zenon_H9d | zenon_intro zenon_Hd4 ].
% 49.27/49.48 apply (zenon_L476_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Had | zenon_intro zenon_Hd5 ].
% 49.27/49.48 apply (zenon_L49_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hc6 ].
% 49.27/49.48 apply (zenon_L94_); trivial.
% 49.27/49.48 apply (zenon_L483_); trivial.
% 49.27/49.48 (* end of lemma zenon_L506_ *)
% 49.27/49.48 assert (zenon_L507_ : (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e10)) = (e12)) -> ((op1 (e13) (e13)) = (e12)) -> False).
% 49.27/49.48 do 0 intro. intros zenon_H13a zenon_H92 zenon_Hc8.
% 49.27/49.48 cut (((op1 (e13) (e10)) = (e12)) = ((op1 (e13) (e10)) = (op1 (e13) (e13)))).
% 49.27/49.48 intro zenon_D_pnotp.
% 49.27/49.48 apply zenon_H13a.
% 49.27/49.48 rewrite <- zenon_D_pnotp.
% 49.27/49.48 exact zenon_H92.
% 49.27/49.48 cut (((e12) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hcf].
% 49.27/49.48 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H3c].
% 49.27/49.48 congruence.
% 49.27/49.48 apply zenon_H3c. apply refl_equal.
% 49.27/49.48 apply zenon_Hcf. apply sym_equal. exact zenon_Hc8.
% 49.27/49.48 (* end of lemma zenon_L507_ *)
% 49.27/49.48 assert (zenon_L508_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> ((op1 (e13) (e11)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e13) (e13)) = (e12)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False).
% 49.27/49.48 do 0 intro. intros zenon_H365 zenon_H18b zenon_H180 zenon_H122 zenon_Hc8 zenon_H13a zenon_H24 zenon_H1f zenon_H20 zenon_H3a.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H365); [ zenon_intro zenon_H91 | zenon_intro zenon_H366 ].
% 49.27/49.48 apply (zenon_L141_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H366); [ zenon_intro zenon_H121 | zenon_intro zenon_H367 ].
% 49.27/49.48 apply (zenon_L70_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H367); [ zenon_intro zenon_H92 | zenon_intro zenon_H39 ].
% 49.27/49.48 apply (zenon_L507_); trivial.
% 49.27/49.48 apply (zenon_L8_); trivial.
% 49.27/49.48 (* end of lemma zenon_L508_ *)
% 49.27/49.48 assert (zenon_L509_ : (((op1 (e10) (op1 (e13) (e10))) = (e10))/\(((op1 (e11) (op1 (e13) (e11))) = (e11))/\(((op1 (e12) (op1 (e13) (e12))) = (e12))/\((op1 (e13) (op1 (e13) (e13))) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e12)) = (e11)) -> ((op1 (e12) (e13)) = (e12)) -> False).
% 49.27/49.48 do 0 intro. intros zenon_Hc6 zenon_H368 zenon_H11b zenon_H369.
% 49.27/49.48 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hca. zenon_intro zenon_Hc9.
% 49.27/49.48 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hcc. zenon_intro zenon_Hcb.
% 49.27/49.48 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hce. zenon_intro zenon_Hcd.
% 49.27/49.48 cut (((op1 (e12) (op1 (e13) (e12))) = (e12)) = ((op1 (e12) (e11)) = (op1 (e12) (e13)))).
% 49.27/49.48 intro zenon_D_pnotp.
% 49.27/49.48 apply zenon_H368.
% 49.27/49.48 rewrite <- zenon_D_pnotp.
% 49.27/49.48 exact zenon_Hce.
% 49.27/49.48 cut (((e12) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H36a].
% 49.27/49.48 cut (((op1 (e12) (op1 (e13) (e12))) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H144].
% 49.27/49.48 congruence.
% 49.27/49.48 elim (classic ((op1 (e12) (e11)) = (op1 (e12) (e11)))); [ zenon_intro zenon_H6d | zenon_intro zenon_H6e ].
% 49.27/49.48 cut (((op1 (e12) (e11)) = (op1 (e12) (e11))) = ((op1 (e12) (op1 (e13) (e12))) = (op1 (e12) (e11)))).
% 49.27/49.48 intro zenon_D_pnotp.
% 49.27/49.48 apply zenon_H144.
% 49.27/49.48 rewrite <- zenon_D_pnotp.
% 49.27/49.48 exact zenon_H6d.
% 49.27/49.48 cut (((op1 (e12) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H6e].
% 49.27/49.48 cut (((op1 (e12) (e11)) = (op1 (e12) (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H141].
% 49.27/49.48 congruence.
% 49.27/49.48 apply (zenon_L90_); trivial.
% 49.27/49.48 apply zenon_H6e. apply refl_equal.
% 49.27/49.48 apply zenon_H6e. apply refl_equal.
% 49.27/49.48 apply zenon_H36a. apply sym_equal. exact zenon_H369.
% 49.27/49.48 (* end of lemma zenon_L509_ *)
% 49.27/49.48 assert (zenon_L510_ : ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e13)) = (e13)) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e13)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e12)) = (e11)) -> ((op1 (e12) (e13)) = (e12)) -> False).
% 49.27/49.48 do 0 intro. intros zenon_He6 zenon_H12b zenon_H12c zenon_He7 zenon_H13a zenon_Hea zenon_H1f zenon_Hfb zenon_H24 zenon_H368 zenon_H11b zenon_H369.
% 49.27/49.48 apply (zenon_or_s _ _ ax10); [ zenon_intro zenon_H9d | zenon_intro zenon_Hd4 ].
% 49.27/49.48 apply (zenon_L74_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Had | zenon_intro zenon_Hd5 ].
% 49.27/49.48 apply (zenon_L83_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hc6 ].
% 49.27/49.48 apply (zenon_L94_); trivial.
% 49.27/49.48 apply (zenon_L509_); trivial.
% 49.27/49.48 (* end of lemma zenon_L510_ *)
% 49.27/49.48 assert (zenon_L511_ : ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e13)) = (e13)) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e13)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e12)) = (e11)) -> ((op1 (e13) (e11)) = (e12)) -> False).
% 49.27/49.48 do 0 intro. intros zenon_He6 zenon_H12b zenon_H12c zenon_He7 zenon_H13a zenon_Hea zenon_H1f zenon_Hfb zenon_H24 zenon_H142 zenon_H11b zenon_H95.
% 49.27/49.48 apply (zenon_or_s _ _ ax10); [ zenon_intro zenon_H9d | zenon_intro zenon_Hd4 ].
% 49.27/49.48 apply (zenon_L74_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Had | zenon_intro zenon_Hd5 ].
% 49.27/49.48 apply (zenon_L83_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hc6 ].
% 49.27/49.48 apply (zenon_L94_); trivial.
% 49.27/49.48 apply (zenon_L91_); trivial.
% 49.27/49.48 (* end of lemma zenon_L511_ *)
% 49.27/49.48 assert (zenon_L512_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> ((op1 (e13) (e11)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e13) (e11)) = (e12)) -> ((op1 (e13) (e12)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e12) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e13)) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False).
% 49.27/49.48 do 0 intro. intros zenon_H365 zenon_H18b zenon_H180 zenon_H122 zenon_H95 zenon_H11b zenon_H142 zenon_Hfb zenon_Hea zenon_H13a zenon_He7 zenon_H12b zenon_He6 zenon_H9e zenon_Hae zenon_He0 zenon_H9a zenon_H18e zenon_Haf zenon_H362 zenon_H24 zenon_H1f zenon_H20 zenon_H3a.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H365); [ zenon_intro zenon_H91 | zenon_intro zenon_H366 ].
% 49.27/49.48 apply (zenon_L141_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H366); [ zenon_intro zenon_H121 | zenon_intro zenon_H367 ].
% 49.27/49.48 apply (zenon_L70_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H367); [ zenon_intro zenon_H92 | zenon_intro zenon_H39 ].
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H362); [ zenon_intro zenon_H35a | zenon_intro zenon_H363 ].
% 49.27/49.48 apply (zenon_L506_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H363); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H364 ].
% 49.27/49.48 apply (zenon_L71_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H364); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H12c ].
% 49.27/49.48 apply (zenon_L507_); trivial.
% 49.27/49.48 apply (zenon_L511_); trivial.
% 49.27/49.48 apply (zenon_L8_); trivial.
% 49.27/49.48 (* end of lemma zenon_L512_ *)
% 49.27/49.48 assert (zenon_L513_ : (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e13) (e12)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e13)) = (e13)) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e11)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e11)) = (e10)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e11)) -> False).
% 49.27/49.48 do 0 intro. intros zenon_H126 zenon_H4f zenon_H3a zenon_H20 zenon_H1f zenon_H24 zenon_H362 zenon_Haf zenon_H18e zenon_H9a zenon_He0 zenon_Hae zenon_H12b zenon_He7 zenon_H13a zenon_Hea zenon_Hfb zenon_H142 zenon_H95 zenon_H122 zenon_H180 zenon_H18b zenon_H365 zenon_H9e zenon_He6.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H121 | zenon_intro zenon_H127 ].
% 49.27/49.48 apply (zenon_L70_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H94 | zenon_intro zenon_H128 ].
% 49.27/49.48 apply (zenon_L481_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H11b | zenon_intro zenon_Hf3 ].
% 49.27/49.48 apply (zenon_L512_); trivial.
% 49.27/49.48 apply (zenon_L71_); trivial.
% 49.27/49.48 (* end of lemma zenon_L513_ *)
% 49.27/49.48 assert (zenon_L514_ : (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e12)) = (e11)) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e12) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e13)) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> ((op1 (e13) (e11)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False).
% 49.27/49.48 do 0 intro. intros zenon_Hd6 zenon_H368 zenon_H11b zenon_H76 zenon_H96 zenon_H36b zenon_He6 zenon_H9e zenon_H142 zenon_Hfb zenon_Hea zenon_He7 zenon_H12b zenon_Hae zenon_He0 zenon_H18e zenon_Haf zenon_H362 zenon_H4f zenon_H126 zenon_H9a zenon_H99 zenon_H365 zenon_H18b zenon_H180 zenon_H122 zenon_H13a zenon_H24 zenon_H1f zenon_H20 zenon_H3a.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H92 | zenon_intro zenon_Hd7 ].
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H36b); [ zenon_intro zenon_H110 | zenon_intro zenon_H36c ].
% 49.27/49.48 apply (zenon_L108_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_Hde | zenon_intro zenon_H36d ].
% 49.27/49.48 apply (zenon_L505_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H36d); [ zenon_intro zenon_H369 | zenon_intro zenon_Hc8 ].
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H362); [ zenon_intro zenon_H35a | zenon_intro zenon_H363 ].
% 49.27/49.48 apply (zenon_L506_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H363); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H364 ].
% 49.27/49.48 apply (zenon_L71_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H364); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H12c ].
% 49.27/49.48 apply (zenon_L508_); trivial.
% 49.27/49.48 apply (zenon_L510_); trivial.
% 49.27/49.48 apply (zenon_L507_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H95 | zenon_intro zenon_Hd8 ].
% 49.27/49.48 apply (zenon_L513_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hc8 ].
% 49.27/49.48 apply (zenon_L31_); trivial.
% 49.27/49.48 apply (zenon_L508_); trivial.
% 49.27/49.48 (* end of lemma zenon_L514_ *)
% 49.27/49.48 assert (zenon_L515_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((e10) = (e13))) -> ((op1 (e13) (e11)) = (e10)) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e13)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e12)) = (e11)) -> ((op1 (e12) (e13)) = (e12)) -> False).
% 49.27/49.48 do 0 intro. intros zenon_H135 zenon_H3a zenon_H20 zenon_H2d zenon_H18b zenon_H57 zenon_H11d zenon_He6 zenon_H12b zenon_He7 zenon_H13a zenon_Hea zenon_H1f zenon_Hfb zenon_H24 zenon_H368 zenon_H11b zenon_H369.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H39 | zenon_intro zenon_H136 ].
% 49.27/49.48 apply (zenon_L8_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hdc | zenon_intro zenon_H137 ].
% 49.27/49.48 apply (zenon_L504_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Haf | zenon_intro zenon_H12c ].
% 49.27/49.48 apply (zenon_L67_); trivial.
% 49.27/49.48 apply (zenon_L510_); trivial.
% 49.27/49.48 (* end of lemma zenon_L515_ *)
% 49.27/49.48 assert (zenon_L516_ : (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> ((op1 (e13) (e12)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e11)) -> ((op1 (e13) (e11)) = (e10)) -> (~((e10) = (e13))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e13)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> False).
% 49.27/49.48 do 0 intro. intros zenon_H36b zenon_H96 zenon_H76 zenon_H11b zenon_H368 zenon_H13a zenon_He7 zenon_H12b zenon_He6 zenon_H18b zenon_H2d zenon_H20 zenon_H3a zenon_H135 zenon_Hc7 zenon_He0 zenon_H9a zenon_Hea zenon_H1f zenon_Hfb zenon_H24 zenon_H57 zenon_H11d.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H36b); [ zenon_intro zenon_H110 | zenon_intro zenon_H36c ].
% 49.27/49.48 apply (zenon_L108_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_Hde | zenon_intro zenon_H36d ].
% 49.27/49.48 apply (zenon_L505_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H36d); [ zenon_intro zenon_H369 | zenon_intro zenon_Hc8 ].
% 49.27/49.48 apply (zenon_L515_); trivial.
% 49.27/49.48 apply (zenon_L96_); trivial.
% 49.27/49.48 (* end of lemma zenon_L516_ *)
% 49.27/49.48 assert (zenon_L517_ : (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e12)) = (e11)) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e12) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> ((op1 (e13) (e11)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False).
% 49.27/49.48 do 0 intro. intros zenon_Hd9 zenon_H11d zenon_Hc7 zenon_H135 zenon_H2d zenon_H82 zenon_H185 zenon_Hd6 zenon_H368 zenon_H11b zenon_H76 zenon_H96 zenon_H36b zenon_He6 zenon_H9e zenon_H142 zenon_Hfb zenon_Hea zenon_He7 zenon_H12b zenon_Hae zenon_He0 zenon_H18e zenon_H362 zenon_H4f zenon_H126 zenon_H9a zenon_H99 zenon_H365 zenon_H18b zenon_H180 zenon_H122 zenon_H13a zenon_H24 zenon_H1f zenon_H20 zenon_H3a.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H57 | zenon_intro zenon_Hda ].
% 49.27/49.48 apply (zenon_L516_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H81 | zenon_intro zenon_Hdb ].
% 49.27/49.48 apply (zenon_L26_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H89 | zenon_intro zenon_Haf ].
% 49.27/49.48 apply (zenon_L132_); trivial.
% 49.27/49.48 apply (zenon_L514_); trivial.
% 49.27/49.48 (* end of lemma zenon_L517_ *)
% 49.27/49.48 assert (zenon_L518_ : (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e12)) = (e11)) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> ((op1 (e13) (e11)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False).
% 49.27/49.48 do 0 intro. intros zenon_Hfd zenon_H33 zenon_H54 zenon_H18d zenon_H15a zenon_H151 zenon_H8b zenon_H146 zenon_Hd9 zenon_H11d zenon_Hc7 zenon_H135 zenon_H2d zenon_H82 zenon_H185 zenon_Hd6 zenon_H368 zenon_H11b zenon_H76 zenon_H96 zenon_H36b zenon_He6 zenon_H9e zenon_H142 zenon_Hea zenon_He7 zenon_H12b zenon_Hae zenon_He0 zenon_H18e zenon_H362 zenon_H4f zenon_H126 zenon_H9a zenon_H99 zenon_H365 zenon_H18b zenon_H180 zenon_H122 zenon_H13a zenon_H24 zenon_H1f zenon_H20 zenon_H3a.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hfe ].
% 49.27/49.48 apply (zenon_L7_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hff ].
% 49.27/49.48 apply (zenon_L144_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H89 | zenon_intro zenon_Hfb ].
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H39 | zenon_intro zenon_H136 ].
% 49.27/49.48 apply (zenon_L8_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hdc | zenon_intro zenon_H137 ].
% 49.27/49.48 apply (zenon_L504_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Haf | zenon_intro zenon_H12c ].
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H8c | zenon_intro zenon_H152 ].
% 49.27/49.48 apply (zenon_L28_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H145 | zenon_intro zenon_H153 ].
% 49.27/49.48 apply (zenon_L93_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_Hfb | zenon_intro zenon_H12c ].
% 49.27/49.48 apply (zenon_L514_); trivial.
% 49.27/49.48 apply (zenon_L104_); trivial.
% 49.27/49.48 apply (zenon_L104_); trivial.
% 49.27/49.48 apply (zenon_L517_); trivial.
% 49.27/49.48 (* end of lemma zenon_L518_ *)
% 49.27/49.48 assert (zenon_L519_ : (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e11)) = (e10)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (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 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e11)) -> False).
% 49.27/49.48 do 0 intro. intros zenon_H3a zenon_H20 zenon_H1f zenon_H24 zenon_H13a zenon_H122 zenon_H180 zenon_H18b zenon_H365 zenon_H99 zenon_H9a zenon_H126 zenon_H4f zenon_H362 zenon_H18e zenon_He0 zenon_Hae zenon_H12b zenon_He7 zenon_Hea zenon_H142 zenon_H36b zenon_H96 zenon_H76 zenon_H368 zenon_Hd6 zenon_H185 zenon_H82 zenon_H2d zenon_H135 zenon_Hc7 zenon_H11d zenon_Hd9 zenon_H146 zenon_H8b zenon_H151 zenon_H15a zenon_H18d zenon_H54 zenon_H33 zenon_Hfd zenon_H9e zenon_He6.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H121 | zenon_intro zenon_H127 ].
% 49.27/49.48 apply (zenon_L70_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H94 | zenon_intro zenon_H128 ].
% 49.27/49.48 apply (zenon_L481_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H11b | zenon_intro zenon_Hf3 ].
% 49.27/49.48 apply (zenon_L518_); trivial.
% 49.27/49.48 apply (zenon_L71_); trivial.
% 49.27/49.48 (* end of lemma zenon_L519_ *)
% 49.27/49.48 assert (zenon_L520_ : (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e11)) = (e10)) -> (~((e10) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e12) (e12)) = (e12)) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> False).
% 49.27/49.48 do 0 intro. intros zenon_Hfd zenon_H33 zenon_H54 zenon_H18d zenon_H15a zenon_H18b zenon_H2d zenon_H3a zenon_H135 zenon_Hd9 zenon_H63 zenon_H82 zenon_H1f zenon_H185 zenon_H24 zenon_H101 zenon_H20 zenon_H99.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hfe ].
% 49.27/49.48 apply (zenon_L7_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hff ].
% 49.27/49.48 apply (zenon_L144_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H89 | zenon_intro zenon_Hfb ].
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H39 | zenon_intro zenon_H136 ].
% 49.27/49.48 apply (zenon_L8_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hdc | zenon_intro zenon_H137 ].
% 49.27/49.48 apply (zenon_L504_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Haf | zenon_intro zenon_H12c ].
% 49.27/49.48 apply (zenon_L58_); trivial.
% 49.27/49.48 apply (zenon_L104_); trivial.
% 49.27/49.48 apply (zenon_L494_); trivial.
% 49.27/49.48 (* end of lemma zenon_L520_ *)
% 49.27/49.48 assert (zenon_L521_ : (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (e11)) = (e10)) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (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) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e13)) = (e11)) -> False).
% 49.27/49.48 do 0 intro. intros zenon_H15f zenon_H18e zenon_H24 zenon_H1f zenon_Hea zenon_H33 zenon_H60 zenon_H353 zenon_Hae zenon_H117 zenon_H155 zenon_H96 zenon_H9e zenon_H4f zenon_H122 zenon_H126 zenon_H54 zenon_H360 zenon_H108 zenon_He0 zenon_H99 zenon_He4 zenon_H63 zenon_H20 zenon_H82 zenon_Hd6 zenon_H76 zenon_Hc7 zenon_H35d zenon_H185 zenon_H111 zenon_Hd9 zenon_H135 zenon_H3a zenon_H146 zenon_H58 zenon_H151 zenon_H15a zenon_H18d zenon_Hfd zenon_H6c zenon_H16c zenon_H8b zenon_He6.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H5b | zenon_intro zenon_H165 ].
% 49.27/49.48 apply (zenon_L18_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H61 | zenon_intro zenon_H166 ].
% 49.27/49.48 apply (zenon_L19_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H64 | zenon_intro zenon_Hab ].
% 49.27/49.48 apply (zenon_L502_); trivial.
% 49.27/49.48 apply (zenon_L80_); trivial.
% 49.27/49.48 (* end of lemma zenon_L521_ *)
% 49.27/49.48 assert (zenon_L522_ : (((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)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((e12) = (e13))) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e13)) = (op1 (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 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e11))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e11) (e11)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> False).
% 49.27/49.48 do 0 intro. intros zenon_H16c zenon_H6c zenon_Hfd zenon_H54 zenon_H18d zenon_H15a zenon_H151 zenon_H8b zenon_H146 zenon_H58 zenon_H3a zenon_H135 zenon_Hd9 zenon_H111 zenon_He4 zenon_H82 zenon_H185 zenon_H20 zenon_H35d zenon_Hc7 zenon_H362 zenon_H9e zenon_H12b zenon_He7 zenon_H13a zenon_H96 zenon_H76 zenon_Hd6 zenon_H4f zenon_H117 zenon_He6 zenon_Hae zenon_H353 zenon_H60 zenon_H33 zenon_Hea zenon_H1f zenon_H24 zenon_H18e.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H4e | zenon_intro zenon_H171 ].
% 49.27/49.48 apply (zenon_L113_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H61 | zenon_intro zenon_H172 ].
% 49.27/49.48 apply (zenon_L19_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H6b | zenon_intro zenon_H94 ].
% 49.27/49.48 apply (zenon_L22_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hfe ].
% 49.27/49.48 apply (zenon_L7_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hff ].
% 49.27/49.48 apply (zenon_L144_); trivial.
% 49.27/49.48 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H89 | zenon_intro zenon_Hfb ].
% 49.27/49.49 apply (zenon_L501_); trivial.
% 49.27/49.49 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H57 | zenon_intro zenon_Hda ].
% 49.27/49.49 apply (zenon_L69_); trivial.
% 49.27/49.49 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H81 | zenon_intro zenon_Hdb ].
% 49.27/49.49 apply (zenon_L26_); trivial.
% 49.27/49.49 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H89 | zenon_intro zenon_Haf ].
% 49.27/49.49 apply (zenon_L132_); trivial.
% 49.27/49.49 apply (zenon_L500_); trivial.
% 49.27/49.49 (* end of lemma zenon_L522_ *)
% 49.27/49.49 assert (zenon_L523_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e10) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (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 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e12) = (e13))) -> ((op1 (e10) (e12)) = (e12)) -> ((op1 (e10) (e13)) = (e11)) -> (~((e11) = (e13))) -> False).
% 49.27/49.49 do 0 intro. intros zenon_H113 zenon_H3a zenon_H20 zenon_H1f zenon_H24 zenon_H33 zenon_H161 zenon_H15f zenon_H190 zenon_H2d zenon_H18e zenon_Hea zenon_H353 zenon_Hae zenon_H117 zenon_Hd6 zenon_H76 zenon_H13a zenon_H12b zenon_H362 zenon_Hc7 zenon_H35d zenon_H185 zenon_Hd9 zenon_H135 zenon_H146 zenon_H8b zenon_H151 zenon_H15a zenon_H18d zenon_Hfd zenon_H6c zenon_H16c zenon_H187 zenon_H155 zenon_H96 zenon_H9e zenon_H4f zenon_H122 zenon_H126 zenon_H360 zenon_H108 zenon_He0 zenon_H99 zenon_H63 zenon_H82 zenon_H23 zenon_H40 zenon_H111 zenon_He4 zenon_He6 zenon_H58.
% 49.27/49.49 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H25 | zenon_intro zenon_H114 ].
% 49.27/49.49 apply (zenon_L4_); trivial.
% 49.27/49.49 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H54 | zenon_intro zenon_H115 ].
% 49.27/49.49 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H25 | zenon_intro zenon_H41 ].
% 49.27/49.49 apply (zenon_L4_); trivial.
% 49.27/49.49 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H2c | zenon_intro zenon_H42 ].
% 49.27/49.49 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H2b | zenon_intro zenon_H163 ].
% 49.27/49.49 apply (zenon_L6_); trivial.
% 49.27/49.49 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H60 | zenon_intro zenon_H164 ].
% 49.27/49.49 apply (zenon_L521_); trivial.
% 49.27/49.49 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_He1 | zenon_intro zenon_He7 ].
% 49.27/49.49 apply (zenon_L44_); trivial.
% 49.27/49.49 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H17 | zenon_intro zenon_H191 ].
% 49.27/49.49 apply (zenon_L15_); trivial.
% 49.27/49.49 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H60 | zenon_intro zenon_H192 ].
% 49.27/49.49 apply (zenon_L522_); trivial.
% 49.27/49.49 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H188 | zenon_intro zenon_H18b ].
% 49.27/49.49 apply (zenon_L140_); trivial.
% 49.27/49.49 apply (zenon_L492_); trivial.
% 49.27/49.49 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H39 ].
% 49.27/49.49 apply (zenon_L7_); trivial.
% 49.27/49.49 apply (zenon_L8_); trivial.
% 49.27/49.49 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H57 | zenon_intro zenon_H8c ].
% 49.27/49.49 apply (zenon_L69_); trivial.
% 49.27/49.49 apply (zenon_L46_); trivial.
% 49.27/49.49 (* end of lemma zenon_L523_ *)
% 49.27/49.49 assert (zenon_L524_ : (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e13) (e12)) = (e12)) -> (~((e11) = (e13))) -> (~((e12) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (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) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e11) = (e12))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (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)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((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 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((e10) = (e13))) -> ((op1 (e13) (e11)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e13)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e12)) = (e11)) -> ((op1 (e12) (e13)) = (e12)) -> False).
% 49.27/49.49 do 0 intro. intros zenon_H36e zenon_H173 zenon_H9b zenon_H58 zenon_H111 zenon_H40 zenon_H23 zenon_H82 zenon_H63 zenon_H99 zenon_He0 zenon_H108 zenon_H360 zenon_H126 zenon_H122 zenon_H4f zenon_H9e zenon_H96 zenon_H155 zenon_H187 zenon_H16c zenon_H6c zenon_Hfd zenon_H18d zenon_H15a zenon_H151 zenon_H8b zenon_H146 zenon_Hd9 zenon_H185 zenon_H35d zenon_Hc7 zenon_H362 zenon_H76 zenon_Hd6 zenon_H117 zenon_Hae zenon_H353 zenon_H18e zenon_H190 zenon_H15f zenon_H161 zenon_H33 zenon_H113 zenon_H135 zenon_H3a zenon_H20 zenon_H2d zenon_H18b zenon_H11d zenon_He6 zenon_H12b zenon_He7 zenon_H13a zenon_Hea zenon_H1f zenon_Hfb zenon_H24 zenon_H368 zenon_H11b zenon_H369.
% 49.27/49.49 apply (zenon_or_s _ _ zenon_H36e); [ zenon_intro zenon_H174 | zenon_intro zenon_H36f ].
% 49.27/49.49 apply (zenon_L111_); trivial.
% 49.27/49.49 apply (zenon_or_s _ _ zenon_H36f); [ zenon_intro zenon_H56 | zenon_intro zenon_H370 ].
% 49.27/49.49 apply (zenon_L60_); trivial.
% 49.27/49.49 apply (zenon_or_s _ _ zenon_H370); [ zenon_intro zenon_He4 | zenon_intro zenon_H57 ].
% 49.27/49.49 apply (zenon_L523_); trivial.
% 49.27/49.49 apply (zenon_L515_); trivial.
% 49.27/49.49 (* end of lemma zenon_L524_ *)
% 49.27/49.49 assert (zenon_L525_ : ((op1 (e12) (e13)) = (e12)) -> ((op1 (e13) (e12)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e11)) = (e10)) -> (~((e10) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e12) = (e13))) -> (~((e11) = (e13))) -> ((op1 (e13) (e12)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e12) (e12)) = (e13)) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> False).
% 49.27/49.49 do 0 intro. intros zenon_H369 zenon_H11b zenon_H368 zenon_H1f zenon_Hea zenon_H13a zenon_He7 zenon_H12b zenon_He6 zenon_H11d zenon_H18b zenon_H2d zenon_H3a zenon_H135 zenon_H113 zenon_H33 zenon_H161 zenon_H15f zenon_H190 zenon_H18e zenon_H353 zenon_Hae zenon_H117 zenon_Hd6 zenon_H76 zenon_H362 zenon_Hc7 zenon_H35d zenon_H185 zenon_Hd9 zenon_H146 zenon_H8b zenon_H151 zenon_H18d zenon_Hfd zenon_H6c zenon_H16c zenon_H187 zenon_H155 zenon_H96 zenon_H9e zenon_H4f zenon_H122 zenon_H126 zenon_H360 zenon_H108 zenon_He0 zenon_H99 zenon_H63 zenon_H82 zenon_H23 zenon_H40 zenon_H111 zenon_H58 zenon_H9b zenon_H173 zenon_H36e zenon_H24 zenon_H89 zenon_H20 zenon_H15a.
% 49.27/49.49 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H8c | zenon_intro zenon_H152 ].
% 49.27/49.49 apply (zenon_L28_); trivial.
% 49.27/49.49 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H145 | zenon_intro zenon_H153 ].
% 49.27/49.49 apply (zenon_L93_); trivial.
% 49.27/49.49 apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_Hfb | zenon_intro zenon_H12c ].
% 49.27/49.49 apply (zenon_L524_); trivial.
% 49.27/49.49 apply (zenon_L104_); trivial.
% 49.27/49.49 (* end of lemma zenon_L525_ *)
% 49.27/49.49 assert (zenon_L526_ : (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e10) (e11)) = (e13)) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((e12) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (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) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e11) = (e12))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (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)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((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 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((e10) = (e13))) -> ((op1 (e13) (e11)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e12)) = (e11)) -> ((op1 (e12) (e13)) = (e12)) -> False).
% 49.27/49.49 do 0 intro. intros zenon_H10b zenon_H180 zenon_H365 zenon_H142 zenon_H36b zenon_H54 zenon_H36e zenon_H173 zenon_H58 zenon_H111 zenon_H40 zenon_H23 zenon_H82 zenon_H63 zenon_H99 zenon_He0 zenon_H108 zenon_H360 zenon_H126 zenon_H122 zenon_H4f zenon_H9e zenon_H96 zenon_H155 zenon_H187 zenon_H16c zenon_H6c zenon_Hfd zenon_H18d zenon_H15a zenon_H151 zenon_H8b zenon_H146 zenon_Hd9 zenon_H185 zenon_H35d zenon_Hc7 zenon_H362 zenon_H76 zenon_Hd6 zenon_H117 zenon_Hae zenon_H353 zenon_H18e zenon_H190 zenon_H15f zenon_H161 zenon_H33 zenon_H113 zenon_H135 zenon_H3a zenon_H20 zenon_H2d zenon_H18b zenon_H11d zenon_He6 zenon_H12b zenon_He7 zenon_H13a zenon_Hea zenon_H1f zenon_H24 zenon_H368 zenon_H11b zenon_H369.
% 49.27/49.49 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_He4 | zenon_intro zenon_H10c ].
% 49.27/49.49 apply (zenon_L491_); trivial.
% 49.27/49.49 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H9a | zenon_intro zenon_H10d ].
% 49.27/49.49 apply (zenon_L518_); trivial.
% 49.27/49.49 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H101 | zenon_intro zenon_H9b ].
% 49.27/49.49 apply (zenon_L520_); trivial.
% 49.27/49.49 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hfe ].
% 49.27/49.49 apply (zenon_L7_); trivial.
% 49.27/49.49 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hff ].
% 49.27/49.49 apply (zenon_L144_); trivial.
% 49.27/49.49 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H89 | zenon_intro zenon_Hfb ].
% 49.27/49.49 apply (zenon_L525_); trivial.
% 49.27/49.49 apply (zenon_L524_); trivial.
% 49.27/49.49 (* end of lemma zenon_L526_ *)
% 49.27/49.49 assert (zenon_L527_ : ((op1 (e13) (e12)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (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 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e12) = (e13))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((op1 (e10) (e11)) = (e13)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> ((op1 (e13) (e11)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False).
% 49.27/49.49 do 0 intro. intros zenon_H11b zenon_H368 zenon_Hea zenon_He7 zenon_H12b zenon_He6 zenon_H11d zenon_H2d zenon_H135 zenon_H113 zenon_H33 zenon_H161 zenon_H15f zenon_H190 zenon_H18e zenon_H353 zenon_Hae zenon_H117 zenon_Hd6 zenon_H76 zenon_H362 zenon_Hc7 zenon_H35d zenon_H185 zenon_Hd9 zenon_H146 zenon_H8b zenon_H151 zenon_H15a zenon_H18d zenon_Hfd zenon_H6c zenon_H16c zenon_H187 zenon_H155 zenon_H96 zenon_H9e zenon_H4f zenon_H126 zenon_H360 zenon_H108 zenon_He0 zenon_H99 zenon_H63 zenon_H82 zenon_H23 zenon_H40 zenon_H111 zenon_H58 zenon_H173 zenon_H36e zenon_H54 zenon_H36b zenon_H142 zenon_H10b zenon_H365 zenon_H18b zenon_H180 zenon_H122 zenon_H13a zenon_H24 zenon_H1f zenon_H20 zenon_H3a.
% 49.27/49.49 apply (zenon_or_s _ _ zenon_H36b); [ zenon_intro zenon_H110 | zenon_intro zenon_H36c ].
% 49.27/49.49 apply (zenon_L108_); trivial.
% 49.27/49.49 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_Hde | zenon_intro zenon_H36d ].
% 49.27/49.49 apply (zenon_L505_); trivial.
% 49.27/49.49 apply (zenon_or_s _ _ zenon_H36d); [ zenon_intro zenon_H369 | zenon_intro zenon_Hc8 ].
% 49.27/49.49 apply (zenon_L526_); trivial.
% 49.27/49.49 apply (zenon_L508_); trivial.
% 49.27/49.49 (* end of lemma zenon_L527_ *)
% 49.27/49.49 assert (zenon_L528_ : (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((e11) = (e13))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((e12) = (e13))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((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)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (e11)) = (e10)) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e10) (e10)) = (e12)) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e13)) = (e11)) -> False).
% 49.27/49.49 do 0 intro. intros zenon_H15f zenon_H58 zenon_H10b zenon_H111 zenon_H11e zenon_H63 zenon_H135 zenon_H3a zenon_H9e zenon_H99 zenon_H20 zenon_H122 zenon_H126 zenon_H12b zenon_H11d zenon_H57 zenon_H6c zenon_H1f zenon_H24 zenon_H117 zenon_H7b zenon_H155 zenon_H360 zenon_H108 zenon_He0 zenon_H82 zenon_H185 zenon_Hd9 zenon_H18d zenon_H16c zenon_Hfd zenon_H15a zenon_H151 zenon_H146 zenon_H18e zenon_H33 zenon_H60 zenon_H353 zenon_Hae zenon_H4f zenon_Hd6 zenon_H76 zenon_H96 zenon_Hc7 zenon_H35d zenon_Hea zenon_H154 zenon_H23 zenon_H72 zenon_H160 zenon_H8b zenon_He6.
% 49.27/49.49 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H5b | zenon_intro zenon_H165 ].
% 49.27/49.49 apply (zenon_L18_); trivial.
% 49.27/49.49 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H61 | zenon_intro zenon_H166 ].
% 49.27/49.49 apply (zenon_L19_); trivial.
% 49.27/49.49 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H64 | zenon_intro zenon_Hab ].
% 49.27/49.49 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H4e | zenon_intro zenon_H171 ].
% 49.27/49.49 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H73 | zenon_intro zenon_H167 ].
% 49.27/49.49 apply (zenon_L23_); trivial.
% 49.27/49.49 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H75 | zenon_intro zenon_H168 ].
% 49.27/49.49 apply (zenon_L24_); trivial.
% 49.27/49.49 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H9a | zenon_intro zenon_Hde ].
% 49.27/49.49 apply (zenon_L68_); trivial.
% 49.27/49.49 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ].
% 49.27/49.49 apply (zenon_L113_); trivial.
% 49.27/49.49 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ].
% 49.27/49.49 apply (zenon_L25_); trivial.
% 49.27/49.49 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ].
% 49.27/49.49 apply (zenon_L79_); trivial.
% 49.27/49.49 apply (zenon_L72_); trivial.
% 49.27/49.49 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H61 | zenon_intro zenon_H172 ].
% 49.27/49.49 apply (zenon_L19_); trivial.
% 49.27/49.49 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H6b | zenon_intro zenon_H94 ].
% 49.27/49.49 apply (zenon_L22_); trivial.
% 49.27/49.49 apply (zenon_L503_); trivial.
% 49.27/49.49 apply (zenon_L80_); trivial.
% 49.27/49.49 (* end of lemma zenon_L528_ *)
% 49.27/49.49 assert (zenon_L529_ : (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e10) (e10)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e11) (e11)) = (e10)) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e11)) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e11) (e13)) = (e10)) -> (~((e10) = (e12))) -> False).
% 49.27/49.49 do 0 intro. intros zenon_H160 zenon_H72 zenon_H23 zenon_H60 zenon_H57 zenon_H11d zenon_H99 zenon_H64 zenon_H1f zenon_H117 zenon_H11e zenon_He7 zenon_H76.
% 49.27/49.49 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H73 | zenon_intro zenon_H167 ].
% 49.27/49.49 apply (zenon_L23_); trivial.
% 49.27/49.49 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H75 | zenon_intro zenon_H168 ].
% 49.27/49.49 apply (zenon_L24_); trivial.
% 49.27/49.49 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H9a | zenon_intro zenon_Hde ].
% 49.27/49.49 apply (zenon_L68_); trivial.
% 49.27/49.49 apply (zenon_L505_); trivial.
% 49.27/49.49 (* end of lemma zenon_L529_ *)
% 49.27/49.49 assert (zenon_L530_ : ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e13)) = (e13)) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e12)) = (e11)) -> ((op1 (e12) (e13)) = (e12)) -> False).
% 49.27/49.49 do 0 intro. intros zenon_He6 zenon_H12b zenon_H12c zenon_He7 zenon_H13a zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_H368 zenon_H11b zenon_H369.
% 49.27/49.49 apply (zenon_or_s _ _ ax10); [ zenon_intro zenon_H9d | zenon_intro zenon_Hd4 ].
% 49.27/49.49 apply (zenon_L74_); trivial.
% 49.27/49.49 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Had | zenon_intro zenon_Hd5 ].
% 49.27/49.49 apply (zenon_L83_); trivial.
% 49.27/49.49 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hc6 ].
% 49.27/49.49 apply (zenon_L37_); trivial.
% 49.27/49.49 apply (zenon_L509_); trivial.
% 49.27/49.49 (* end of lemma zenon_L530_ *)
% 49.27/49.49 assert (zenon_L531_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((e10) = (e13))) -> ((op1 (e13) (e11)) = (e10)) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e12)) = (e11)) -> ((op1 (e12) (e13)) = (e12)) -> False).
% 49.27/49.49 do 0 intro. intros zenon_H135 zenon_H3a zenon_H20 zenon_H2d zenon_H18b zenon_H57 zenon_H11d zenon_He6 zenon_H12b zenon_He7 zenon_H13a zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_H368 zenon_H11b zenon_H369.
% 49.27/49.49 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H39 | zenon_intro zenon_H136 ].
% 49.27/49.49 apply (zenon_L8_); trivial.
% 49.27/49.49 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hdc | zenon_intro zenon_H137 ].
% 49.27/49.49 apply (zenon_L504_); trivial.
% 49.27/49.49 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Haf | zenon_intro zenon_H12c ].
% 49.27/49.49 apply (zenon_L67_); trivial.
% 49.27/49.49 apply (zenon_L530_); trivial.
% 49.27/49.49 (* end of lemma zenon_L531_ *)
% 49.27/49.49 assert (zenon_L532_ : (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> ((op1 (e13) (e12)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e12) (e11)) = (e13)) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> ((op1 (e13) (e11)) = (e10)) -> (~((e10) = (e13))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e10)) = (e12)) -> False).
% 49.27/49.49 do 0 intro. intros zenon_H36b zenon_H96 zenon_H76 zenon_H11b zenon_H368 zenon_H24 zenon_Hbe zenon_H1f zenon_H6c zenon_He7 zenon_H12b zenon_He6 zenon_H11d zenon_H57 zenon_H18b zenon_H2d zenon_H20 zenon_H3a zenon_H135 zenon_H13a zenon_H92.
% 49.27/49.49 apply (zenon_or_s _ _ zenon_H36b); [ zenon_intro zenon_H110 | zenon_intro zenon_H36c ].
% 49.27/49.49 apply (zenon_L108_); trivial.
% 49.27/49.49 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_Hde | zenon_intro zenon_H36d ].
% 49.27/49.49 apply (zenon_L505_); trivial.
% 49.27/49.49 apply (zenon_or_s _ _ zenon_H36d); [ zenon_intro zenon_H369 | zenon_intro zenon_Hc8 ].
% 49.27/49.49 apply (zenon_L531_); trivial.
% 49.27/49.49 apply (zenon_L507_); trivial.
% 49.27/49.49 (* end of lemma zenon_L532_ *)
% 49.27/49.49 assert (zenon_L533_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((e10) = (e13))) -> ((op1 (e13) (e11)) = (e10)) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e12)) -> False).
% 49.27/49.49 do 0 intro. intros zenon_H135 zenon_H3a zenon_H20 zenon_H2d zenon_H18b zenon_H57 zenon_H11d zenon_He6 zenon_H12b zenon_He7 zenon_H13a zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_H117 zenon_H9b.
% 49.27/49.49 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H39 | zenon_intro zenon_H136 ].
% 49.27/49.49 apply (zenon_L8_); trivial.
% 49.27/49.49 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hdc | zenon_intro zenon_H137 ].
% 49.27/49.49 apply (zenon_L504_); trivial.
% 49.27/49.49 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Haf | zenon_intro zenon_H12c ].
% 49.27/49.49 apply (zenon_L67_); trivial.
% 49.27/49.49 apply (zenon_L84_); trivial.
% 49.27/49.49 (* end of lemma zenon_L533_ *)
% 49.27/49.49 assert (zenon_L534_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((e10) = (e13))) -> ((op1 (e13) (e11)) = (e10)) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e13) (e13)) = (e12)) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> False).
% 49.27/49.49 do 0 intro. intros zenon_H135 zenon_H3a zenon_H20 zenon_H2d zenon_H18b zenon_He6 zenon_H12b zenon_He7 zenon_H13a zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_Hc8 zenon_H57 zenon_H11d.
% 49.27/49.49 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H39 | zenon_intro zenon_H136 ].
% 49.27/49.49 apply (zenon_L8_); trivial.
% 49.27/49.49 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hdc | zenon_intro zenon_H137 ].
% 49.27/49.49 apply (zenon_L504_); trivial.
% 49.27/49.49 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Haf | zenon_intro zenon_H12c ].
% 49.27/49.49 apply (zenon_L67_); trivial.
% 49.27/49.49 apply (zenon_L98_); trivial.
% 49.27/49.49 (* end of lemma zenon_L534_ *)
% 49.27/49.49 assert (zenon_L535_ : (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e13) (e12)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((e10) = (e13))) -> ((op1 (e13) (e11)) = (e10)) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> False).
% 49.27/49.49 do 0 intro. intros zenon_Hd6 zenon_H368 zenon_H76 zenon_H96 zenon_H36b zenon_H11b zenon_H142 zenon_H111 zenon_H117 zenon_H135 zenon_H3a zenon_H20 zenon_H2d zenon_H18b zenon_He6 zenon_H12b zenon_He7 zenon_H13a zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_H57 zenon_H11d.
% 49.27/49.49 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H92 | zenon_intro zenon_Hd7 ].
% 49.27/49.49 apply (zenon_L532_); trivial.
% 49.27/49.49 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H95 | zenon_intro zenon_Hd8 ].
% 49.27/49.49 apply (zenon_L92_); trivial.
% 49.27/49.49 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hc8 ].
% 49.27/49.49 apply (zenon_L533_); trivial.
% 49.27/49.49 apply (zenon_L534_); trivial.
% 49.27/49.49 (* end of lemma zenon_L535_ *)
% 49.27/49.49 assert (zenon_L536_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e10) = (op1 (e12) (e12))) -> (~((e10) = (e13))) -> ((op1 (e13) (e11)) = (e10)) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e12) (e12)) = (e13)) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> False).
% 49.27/49.49 do 0 intro. intros zenon_H135 zenon_H3a zenon_H1f zenon_H2d zenon_H18b zenon_H57 zenon_H11d zenon_H24 zenon_H89 zenon_H20 zenon_H15a.
% 49.27/49.49 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H39 | zenon_intro zenon_H136 ].
% 49.27/49.49 apply (zenon_L8_); trivial.
% 49.27/49.49 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hdc | zenon_intro zenon_H137 ].
% 49.27/49.49 apply (zenon_L504_); trivial.
% 49.27/49.49 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Haf | zenon_intro zenon_H12c ].
% 49.27/49.49 apply (zenon_L67_); trivial.
% 49.27/49.49 apply (zenon_L104_); trivial.
% 49.27/49.49 (* end of lemma zenon_L536_ *)
% 49.27/49.49 assert (zenon_L537_ : (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> ((op1 (e13) (e12)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e11)) -> ((op1 (e13) (e11)) = (e10)) -> (~((e10) = (e13))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> False).
% 49.27/49.49 do 0 intro. intros zenon_Hfd zenon_H33 zenon_H6c zenon_H117 zenon_H111 zenon_H142 zenon_Hd6 zenon_H15a zenon_H36b zenon_H96 zenon_H76 zenon_H11b zenon_H368 zenon_H13a zenon_He7 zenon_H12b zenon_He6 zenon_H18b zenon_H2d zenon_H20 zenon_H3a zenon_H135 zenon_Hc7 zenon_He0 zenon_H9a zenon_Hea zenon_H1f zenon_H24 zenon_H57 zenon_H11d.
% 49.27/49.49 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hfe ].
% 49.27/49.49 apply (zenon_L7_); trivial.
% 49.27/49.49 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hff ].
% 49.27/49.49 apply (zenon_L535_); trivial.
% 49.27/49.49 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H89 | zenon_intro zenon_Hfb ].
% 49.27/49.49 apply (zenon_L536_); trivial.
% 49.27/49.49 apply (zenon_L516_); trivial.
% 49.27/49.49 (* end of lemma zenon_L537_ *)
% 49.27/49.49 assert (zenon_L538_ : (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((e10) = (e13))) -> ((op1 (e13) (e11)) = (e10)) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> False).
% 49.27/49.49 do 0 intro. intros zenon_H155 zenon_H58 zenon_H99 zenon_H9a zenon_H11e zenon_H13f zenon_Hd6 zenon_H368 zenon_H76 zenon_H96 zenon_H36b zenon_H142 zenon_H111 zenon_H117 zenon_H135 zenon_H3a zenon_H20 zenon_H2d zenon_H18b zenon_He6 zenon_H12b zenon_He7 zenon_H13a zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_H57 zenon_H11d.
% 49.27/49.49 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H56 | zenon_intro zenon_H158 ].
% 49.27/49.49 apply (zenon_L17_); trivial.
% 49.27/49.49 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H64 | zenon_intro zenon_H159 ].
% 49.27/49.49 apply (zenon_L68_); trivial.
% 49.27/49.49 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H13d | zenon_intro zenon_H11b ].
% 49.27/49.49 apply (zenon_L88_); trivial.
% 49.27/49.49 apply (zenon_L535_); trivial.
% 49.27/49.49 (* end of lemma zenon_L538_ *)
% 49.27/49.49 assert (zenon_L539_ : (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e11)) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> ((op1 (e13) (e11)) = (e10)) -> (~((e10) = (e13))) -> False).
% 49.27/49.49 do 0 intro. intros zenon_H154 zenon_Hea zenon_He0 zenon_Hc7 zenon_H15a zenon_H33 zenon_Hfd zenon_H360 zenon_H126 zenon_H122 zenon_H4f zenon_H9e zenon_H7b zenon_H11d zenon_H57 zenon_H24 zenon_H1f zenon_H6c zenon_H13a zenon_He7 zenon_H12b zenon_He6 zenon_H20 zenon_H3a zenon_H135 zenon_H117 zenon_H111 zenon_H142 zenon_H36b zenon_H96 zenon_H76 zenon_H368 zenon_Hd6 zenon_H13f zenon_H11e zenon_H9a zenon_H99 zenon_H58 zenon_H155 zenon_H18b zenon_H2d.
% 49.27/49.49 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ].
% 49.27/49.49 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H56 | zenon_intro zenon_H158 ].
% 49.27/49.49 apply (zenon_L17_); trivial.
% 49.27/49.49 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H64 | zenon_intro zenon_H159 ].
% 49.27/49.49 apply (zenon_L488_); trivial.
% 49.27/49.49 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H13d | zenon_intro zenon_H11b ].
% 49.27/49.49 apply (zenon_L489_); trivial.
% 49.27/49.49 apply (zenon_L537_); trivial.
% 49.27/49.49 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ].
% 49.27/49.49 apply (zenon_L25_); trivial.
% 49.27/49.49 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ].
% 49.27/49.49 apply (zenon_L538_); trivial.
% 49.27/49.49 apply (zenon_L504_); trivial.
% 49.27/49.49 (* end of lemma zenon_L539_ *)
% 49.27/49.49 assert (zenon_L540_ : (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (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) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((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 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((e10) = (e13))) -> ((op1 (e13) (e11)) = (e10)) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> False).
% 49.27/49.49 do 0 intro. intros zenon_H10b zenon_H40 zenon_H23 zenon_H82 zenon_H108 zenon_H187 zenon_H16c zenon_H18d zenon_H151 zenon_H8b zenon_H146 zenon_Hd9 zenon_H185 zenon_H35d zenon_H362 zenon_Hae zenon_H353 zenon_H18e zenon_H190 zenon_H15f zenon_H161 zenon_H113 zenon_H155 zenon_H58 zenon_H99 zenon_H11e zenon_H13f zenon_Hd6 zenon_H368 zenon_H76 zenon_H96 zenon_H36b zenon_H142 zenon_H111 zenon_H7b zenon_H9e zenon_H4f zenon_H122 zenon_H126 zenon_H360 zenon_Hc7 zenon_He0 zenon_H154 zenon_H63 zenon_Hfd zenon_H33 zenon_H6c zenon_H15a zenon_H135 zenon_H3a zenon_H20 zenon_H2d zenon_H18b zenon_H57 zenon_H11d zenon_He6 zenon_H12b zenon_He7 zenon_H13a zenon_Hea zenon_H1f zenon_H24 zenon_H117.
% 49.27/49.49 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_He4 | zenon_intro zenon_H10c ].
% 49.27/49.49 apply (zenon_L523_); trivial.
% 49.27/49.49 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H9a | zenon_intro zenon_H10d ].
% 49.27/49.49 apply (zenon_L539_); trivial.
% 49.27/49.49 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H101 | zenon_intro zenon_H9b ].
% 49.27/49.49 apply (zenon_L57_); trivial.
% 49.27/49.49 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hfe ].
% 49.27/49.49 apply (zenon_L7_); trivial.
% 49.27/49.49 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hff ].
% 49.27/49.49 apply (zenon_L533_); trivial.
% 49.27/49.49 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H89 | zenon_intro zenon_Hfb ].
% 49.27/49.49 apply (zenon_L536_); trivial.
% 49.27/49.49 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H39 | zenon_intro zenon_H136 ].
% 49.27/49.49 apply (zenon_L8_); trivial.
% 49.27/49.49 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hdc | zenon_intro zenon_H137 ].
% 49.27/49.49 apply (zenon_L504_); trivial.
% 49.27/49.49 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Haf | zenon_intro zenon_H12c ].
% 49.27/49.49 apply (zenon_L67_); trivial.
% 49.27/49.49 apply (zenon_L498_); trivial.
% 49.27/49.49 (* end of lemma zenon_L540_ *)
% 49.27/49.49 assert (zenon_L541_ : ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (e10) (e10)) = (e10)) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e10) (e10)) = (e12)) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (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) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((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 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((e10) = (e13))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> False).
% 49.27/49.50 do 0 intro. intros zenon_H2c zenon_H19 zenon_H18 zenon_H160 zenon_H72 zenon_H10b zenon_H40 zenon_H23 zenon_H82 zenon_H108 zenon_H187 zenon_H16c zenon_H18d zenon_H151 zenon_H8b zenon_H146 zenon_Hd9 zenon_H185 zenon_H35d zenon_H362 zenon_Hae zenon_H353 zenon_H18e zenon_H190 zenon_H15f zenon_H161 zenon_H113 zenon_H155 zenon_H58 zenon_H99 zenon_H11e zenon_H13f zenon_Hd6 zenon_H368 zenon_H76 zenon_H96 zenon_H36b zenon_H142 zenon_H111 zenon_H7b zenon_H9e zenon_H4f zenon_H122 zenon_H126 zenon_H360 zenon_Hc7 zenon_He0 zenon_H154 zenon_H63 zenon_Hfd zenon_H33 zenon_H6c zenon_H15a zenon_H135 zenon_H3a zenon_H20 zenon_H2d zenon_H57 zenon_H11d zenon_He6 zenon_H12b zenon_H13a zenon_Hea zenon_H1f zenon_H24 zenon_H117.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H2b | zenon_intro zenon_H163 ].
% 49.27/49.50 apply (zenon_L6_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H60 | zenon_intro zenon_H164 ].
% 49.27/49.50 apply (zenon_L528_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_He1 | zenon_intro zenon_He7 ].
% 49.27/49.50 apply (zenon_L44_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H17 | zenon_intro zenon_H191 ].
% 49.27/49.50 apply (zenon_L2_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H60 | zenon_intro zenon_H192 ].
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H5b | zenon_intro zenon_H165 ].
% 49.27/49.50 apply (zenon_L18_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H61 | zenon_intro zenon_H166 ].
% 49.27/49.50 apply (zenon_L19_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H64 | zenon_intro zenon_Hab ].
% 49.27/49.50 apply (zenon_L529_); trivial.
% 49.27/49.50 apply (zenon_L80_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H188 | zenon_intro zenon_H18b ].
% 49.27/49.50 apply (zenon_L140_); trivial.
% 49.27/49.50 apply (zenon_L540_); trivial.
% 49.27/49.50 (* end of lemma zenon_L541_ *)
% 49.27/49.50 assert (zenon_L542_ : (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (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 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> ((op1 (e10) (e10)) = (e12)) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False).
% 49.27/49.50 do 0 intro. intros zenon_H117 zenon_Hea zenon_H13a zenon_H12b zenon_He6 zenon_H11d zenon_H57 zenon_H2d zenon_H135 zenon_H15a zenon_H6c zenon_Hfd zenon_H63 zenon_H154 zenon_He0 zenon_Hc7 zenon_H360 zenon_H126 zenon_H122 zenon_H4f zenon_H9e zenon_H7b zenon_H111 zenon_H142 zenon_H36b zenon_H96 zenon_H76 zenon_H368 zenon_Hd6 zenon_H13f zenon_H11e zenon_H99 zenon_H58 zenon_H155 zenon_H113 zenon_H161 zenon_H15f zenon_H190 zenon_H18e zenon_H353 zenon_Hae zenon_H362 zenon_H35d zenon_H185 zenon_Hd9 zenon_H146 zenon_H8b zenon_H151 zenon_H18d zenon_H16c zenon_H187 zenon_H108 zenon_H82 zenon_H23 zenon_H40 zenon_H10b zenon_H72 zenon_H160 zenon_H18 zenon_H19 zenon_H33 zenon_H24 zenon_H1f zenon_H20 zenon_H3a.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H25 | zenon_intro zenon_H41 ].
% 49.27/49.50 apply (zenon_L4_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H2c | zenon_intro zenon_H42 ].
% 49.27/49.50 apply (zenon_L541_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H39 ].
% 49.27/49.50 apply (zenon_L7_); trivial.
% 49.27/49.50 apply (zenon_L8_); trivial.
% 49.27/49.50 (* end of lemma zenon_L542_ *)
% 49.27/49.50 assert (zenon_L543_ : (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (e10) (e10)) = (e10)) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e10) (e10)) = (e12)) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (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) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((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 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e13)) = (e11)) -> (~((e11) = (e13))) -> False).
% 49.27/49.50 do 0 intro. intros zenon_H173 zenon_H36e zenon_H365 zenon_H180 zenon_H3a zenon_H20 zenon_H1f zenon_H24 zenon_H33 zenon_H19 zenon_H18 zenon_H160 zenon_H72 zenon_H10b zenon_H40 zenon_H23 zenon_H82 zenon_H108 zenon_H187 zenon_H16c zenon_H18d zenon_H151 zenon_H8b zenon_H146 zenon_Hd9 zenon_H185 zenon_H35d zenon_H362 zenon_Hae zenon_H353 zenon_H18e zenon_H190 zenon_H15f zenon_H161 zenon_H113 zenon_H155 zenon_H99 zenon_H11e zenon_H13f zenon_Hd6 zenon_H368 zenon_H76 zenon_H96 zenon_H36b zenon_H142 zenon_H111 zenon_H7b zenon_H9e zenon_H4f zenon_H122 zenon_H126 zenon_H360 zenon_Hc7 zenon_He0 zenon_H154 zenon_H63 zenon_Hfd zenon_H6c zenon_H15a zenon_H135 zenon_H2d zenon_H11d zenon_H12b zenon_H13a zenon_Hea zenon_H117 zenon_He6 zenon_H58.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H25 | zenon_intro zenon_H114 ].
% 49.27/49.50 apply (zenon_L4_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H54 | zenon_intro zenon_H115 ].
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H25 | zenon_intro zenon_H41 ].
% 49.27/49.50 apply (zenon_L4_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H2c | zenon_intro zenon_H42 ].
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H2b | zenon_intro zenon_H163 ].
% 49.27/49.50 apply (zenon_L6_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H60 | zenon_intro zenon_H164 ].
% 49.27/49.50 apply (zenon_L497_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_He1 | zenon_intro zenon_He7 ].
% 49.27/49.50 apply (zenon_L44_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H17 | zenon_intro zenon_H191 ].
% 49.27/49.50 apply (zenon_L15_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H60 | zenon_intro zenon_H192 ].
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H5b | zenon_intro zenon_H165 ].
% 49.27/49.50 apply (zenon_L18_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H61 | zenon_intro zenon_H166 ].
% 49.27/49.50 apply (zenon_L19_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H64 | zenon_intro zenon_Hab ].
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H4e | zenon_intro zenon_H171 ].
% 49.27/49.50 apply (zenon_L113_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H61 | zenon_intro zenon_H172 ].
% 49.27/49.50 apply (zenon_L19_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H6b | zenon_intro zenon_H94 ].
% 49.27/49.50 apply (zenon_L22_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hfe ].
% 49.27/49.50 apply (zenon_L7_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hff ].
% 49.27/49.50 apply (zenon_L144_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H89 | zenon_intro zenon_Hfb ].
% 49.27/49.50 apply (zenon_L501_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H57 | zenon_intro zenon_Hda ].
% 49.27/49.50 apply (zenon_L503_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H81 | zenon_intro zenon_Hdb ].
% 49.27/49.50 apply (zenon_L26_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H89 | zenon_intro zenon_Haf ].
% 49.27/49.50 apply (zenon_L132_); trivial.
% 49.27/49.50 apply (zenon_L500_); trivial.
% 49.27/49.50 apply (zenon_L80_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H188 | zenon_intro zenon_H18b ].
% 49.27/49.50 apply (zenon_L140_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H56 | zenon_intro zenon_H158 ].
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_He4 | zenon_intro zenon_H10c ].
% 49.27/49.50 apply (zenon_L45_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H9a | zenon_intro zenon_H10d ].
% 49.27/49.50 apply (zenon_L519_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H101 | zenon_intro zenon_H9b ].
% 49.27/49.50 apply (zenon_L520_); trivial.
% 49.27/49.50 apply (zenon_L60_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H64 | zenon_intro zenon_H159 ].
% 49.27/49.50 apply (zenon_L488_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H13d | zenon_intro zenon_H11b ].
% 49.27/49.50 apply (zenon_L489_); trivial.
% 49.27/49.50 apply (zenon_L527_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H39 ].
% 49.27/49.50 apply (zenon_L7_); trivial.
% 49.27/49.50 apply (zenon_L8_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H57 | zenon_intro zenon_H8c ].
% 49.27/49.50 apply (zenon_L542_); trivial.
% 49.27/49.50 apply (zenon_L46_); trivial.
% 49.27/49.50 (* end of lemma zenon_L543_ *)
% 49.27/49.50 assert (zenon_L544_ : ((op1 (e10) (e11)) = (e12)) -> ((op1 (e10) (e11)) = (e13)) -> (~((e12) = (e13))) -> False).
% 49.27/49.50 do 0 intro. intros zenon_H10e zenon_H54 zenon_H111.
% 49.27/49.50 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H2e | zenon_intro zenon_H2f ].
% 49.27/49.50 cut (((e13) = (e13)) = ((e12) = (e13))).
% 49.27/49.50 intro zenon_D_pnotp.
% 49.27/49.50 apply zenon_H111.
% 49.27/49.50 rewrite <- zenon_D_pnotp.
% 49.27/49.50 exact zenon_H2e.
% 49.27/49.50 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2f].
% 49.27/49.50 cut (((e13) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H112].
% 49.27/49.50 congruence.
% 49.27/49.50 cut (((op1 (e10) (e11)) = (e12)) = ((e13) = (e12))).
% 49.27/49.50 intro zenon_D_pnotp.
% 49.27/49.50 apply zenon_H112.
% 49.27/49.50 rewrite <- zenon_D_pnotp.
% 49.27/49.50 exact zenon_H10e.
% 49.27/49.50 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H48].
% 49.27/49.50 cut (((op1 (e10) (e11)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H55].
% 49.27/49.50 congruence.
% 49.27/49.50 exact (zenon_H55 zenon_H54).
% 49.27/49.50 apply zenon_H48. apply refl_equal.
% 49.27/49.50 apply zenon_H2f. apply refl_equal.
% 49.27/49.50 apply zenon_H2f. apply refl_equal.
% 49.27/49.50 (* end of lemma zenon_L544_ *)
% 49.27/49.50 assert (zenon_L545_ : (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e10) (e11)) = (e12)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e11) (e13)) = (e12)) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e11)) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((op1 (e11) (e12)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> ((op1 (e13) (e11)) = (e11)) -> (~((e11) = (e13))) -> False).
% 49.27/49.50 do 0 intro. intros zenon_H154 zenon_H10e zenon_H7b zenon_H117 zenon_H24 zenon_H1f zenon_H6c zenon_Hde zenon_H57 zenon_H11d zenon_H12b zenon_He6 zenon_H126 zenon_H122 zenon_H20 zenon_H64 zenon_H99 zenon_H9e zenon_H3a zenon_H135 zenon_H63 zenon_H11e zenon_H111 zenon_H10b zenon_H94 zenon_H58.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ].
% 49.27/49.50 apply (zenon_L544_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ].
% 49.27/49.50 apply (zenon_L25_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ].
% 49.27/49.50 apply (zenon_L79_); trivial.
% 49.27/49.50 apply (zenon_L42_); trivial.
% 49.27/49.50 (* end of lemma zenon_L545_ *)
% 49.27/49.50 assert (zenon_L546_ : (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((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) (e11)) = (op1 (e11) (e11)))) -> (~((e10) = (e11))) -> (~((e11) = (e12))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e13))) -> (((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 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((e12) = (e13))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e10) (e11)) = (e12)) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e11)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e13)) = (e11)) -> False).
% 49.27/49.50 do 0 intro. intros zenon_H58 zenon_H40 zenon_H23 zenon_H82 zenon_He0 zenon_H108 zenon_H360 zenon_H4f zenon_H96 zenon_H155 zenon_H187 zenon_H16c zenon_Hfd zenon_H18d zenon_H15a zenon_H151 zenon_Hd9 zenon_H185 zenon_H35d zenon_Hc7 zenon_H362 zenon_H76 zenon_Hd6 zenon_Hae zenon_H353 zenon_Hea zenon_H18e zenon_H2d zenon_H190 zenon_H15f zenon_H161 zenon_H33 zenon_H113 zenon_H182 zenon_H13a zenon_H10b zenon_H111 zenon_H11e zenon_H63 zenon_H135 zenon_H3a zenon_H9e zenon_H99 zenon_H122 zenon_H126 zenon_H12b zenon_H11d zenon_H57 zenon_H6c zenon_H117 zenon_H7b zenon_H10e zenon_H154 zenon_H24 zenon_H1f zenon_H20 zenon_H146 zenon_H60 zenon_H8b zenon_He6.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H5b | zenon_intro zenon_H165 ].
% 49.27/49.50 apply (zenon_L18_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H61 | zenon_intro zenon_H166 ].
% 49.27/49.50 apply (zenon_L19_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H64 | zenon_intro zenon_Hab ].
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H4e | zenon_intro zenon_H171 ].
% 49.27/49.50 apply (zenon_L142_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H61 | zenon_intro zenon_H172 ].
% 49.27/49.50 apply (zenon_L19_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H6b | zenon_intro zenon_H94 ].
% 49.27/49.50 apply (zenon_L22_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ].
% 49.27/49.50 apply (zenon_L544_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ].
% 49.27/49.50 apply (zenon_L25_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ].
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_He4 | zenon_intro zenon_H10c ].
% 49.27/49.50 apply (zenon_L523_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H9a | zenon_intro zenon_H10d ].
% 49.27/49.50 apply (zenon_L68_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H101 | zenon_intro zenon_H9b ].
% 49.27/49.50 apply (zenon_L57_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H39 | zenon_intro zenon_H136 ].
% 49.27/49.50 apply (zenon_L8_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hdc | zenon_intro zenon_H137 ].
% 49.27/49.50 apply (zenon_L72_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Haf | zenon_intro zenon_H12c ].
% 49.27/49.50 apply (zenon_L67_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_He7 | zenon_intro zenon_H183 ].
% 49.27/49.50 apply (zenon_L84_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_Hab | zenon_intro zenon_H184 ].
% 49.27/49.50 apply (zenon_L80_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hde | zenon_intro zenon_H145 ].
% 49.27/49.50 apply (zenon_L545_); trivial.
% 49.27/49.50 apply (zenon_L93_); trivial.
% 49.27/49.50 apply (zenon_L42_); trivial.
% 49.27/49.50 apply (zenon_L80_); trivial.
% 49.27/49.50 (* end of lemma zenon_L546_ *)
% 49.27/49.50 assert (zenon_L547_ : (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((e12) = (e13))) -> ((op1 (e10) (e11)) = (e12)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> ((op1 (e13) (e11)) = (e10)) -> (~((e10) = (e13))) -> False).
% 49.27/49.50 do 0 intro. intros zenon_H154 zenon_H111 zenon_H10e zenon_H7b zenon_H92 zenon_H13a zenon_H135 zenon_H3a zenon_H20 zenon_H57 zenon_H11d zenon_He6 zenon_H12b zenon_He7 zenon_H6c zenon_H1f zenon_H24 zenon_H368 zenon_H76 zenon_H96 zenon_H36b zenon_H13f zenon_H11e zenon_H117 zenon_H9a zenon_H99 zenon_H58 zenon_H155 zenon_H18b zenon_H2d.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ].
% 49.27/49.50 apply (zenon_L544_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ].
% 49.27/49.50 apply (zenon_L25_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ].
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H56 | zenon_intro zenon_H158 ].
% 49.27/49.50 apply (zenon_L17_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H64 | zenon_intro zenon_H159 ].
% 49.27/49.50 apply (zenon_L68_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H13d | zenon_intro zenon_H11b ].
% 49.27/49.50 apply (zenon_L88_); trivial.
% 49.27/49.50 apply (zenon_L532_); trivial.
% 49.27/49.50 apply (zenon_L504_); trivial.
% 49.27/49.50 (* end of lemma zenon_L547_ *)
% 49.27/49.50 assert (zenon_L548_ : (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e10) (e11)) = (e12)) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e13) (e12)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((e10) = (e13))) -> ((op1 (e13) (e11)) = (e10)) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> False).
% 49.27/49.50 do 0 intro. intros zenon_Hd6 zenon_H155 zenon_H58 zenon_H99 zenon_H9a zenon_H11e zenon_H13f zenon_H36b zenon_H96 zenon_H76 zenon_H368 zenon_H7b zenon_H10e zenon_H154 zenon_H11b zenon_H142 zenon_H111 zenon_H117 zenon_H135 zenon_H3a zenon_H20 zenon_H2d zenon_H18b zenon_He6 zenon_H12b zenon_He7 zenon_H13a zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_H57 zenon_H11d.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H92 | zenon_intro zenon_Hd7 ].
% 49.27/49.50 apply (zenon_L547_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H95 | zenon_intro zenon_Hd8 ].
% 49.27/49.50 apply (zenon_L92_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hc8 ].
% 49.27/49.50 apply (zenon_L533_); trivial.
% 49.27/49.50 apply (zenon_L534_); trivial.
% 49.27/49.50 (* end of lemma zenon_L548_ *)
% 49.27/49.50 assert (zenon_L549_ : (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e10) (e11)) = (e12)) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((e10) = (e13))) -> ((op1 (e13) (e11)) = (e10)) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> False).
% 49.27/49.50 do 0 intro. intros zenon_Hd6 zenon_H155 zenon_H58 zenon_H99 zenon_H9a zenon_H11e zenon_H13f zenon_H36b zenon_H96 zenon_H76 zenon_H368 zenon_H7b zenon_H10e zenon_H154 zenon_H142 zenon_H111 zenon_H117 zenon_H135 zenon_H3a zenon_H20 zenon_H2d zenon_H18b zenon_He6 zenon_H12b zenon_He7 zenon_H13a zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_H57 zenon_H11d.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H56 | zenon_intro zenon_H158 ].
% 49.27/49.50 apply (zenon_L17_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H64 | zenon_intro zenon_H159 ].
% 49.27/49.50 apply (zenon_L68_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H13d | zenon_intro zenon_H11b ].
% 49.27/49.50 apply (zenon_L88_); trivial.
% 49.27/49.50 apply (zenon_L548_); trivial.
% 49.27/49.50 (* end of lemma zenon_L549_ *)
% 49.27/49.50 assert (zenon_L550_ : (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e11) = (e12))) -> ((op1 (e10) (e13)) = (e11)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e10) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (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 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e12) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (e10) (e10)) = (e10)) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> False).
% 49.27/49.50 do 0 intro. intros zenon_H371 zenon_H4a zenon_H96 zenon_He6 zenon_H113 zenon_H3a zenon_H24 zenon_H33 zenon_H161 zenon_H15f zenon_H190 zenon_H2d zenon_H18e zenon_Hea zenon_Hae zenon_H117 zenon_Hd6 zenon_H76 zenon_H13a zenon_H12b zenon_H362 zenon_Hc7 zenon_H35d zenon_H185 zenon_Hd9 zenon_H135 zenon_H146 zenon_H8b zenon_H151 zenon_H15a zenon_H18d zenon_Hfd zenon_H6c zenon_H16c zenon_H187 zenon_H155 zenon_H9e zenon_H4f zenon_H126 zenon_H360 zenon_H108 zenon_He0 zenon_H99 zenon_H63 zenon_H82 zenon_H23 zenon_H40 zenon_H111 zenon_H58 zenon_H182 zenon_H11d zenon_H11e zenon_H13f zenon_H36b zenon_H368 zenon_H7b zenon_H154 zenon_H142 zenon_H10b zenon_H173 zenon_H36e zenon_H365 zenon_H180 zenon_H19 zenon_H18 zenon_H160 zenon_H15e zenon_H20 zenon_H1f zenon_H122.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H371); [ zenon_intro zenon_H4b | zenon_intro zenon_H372 ].
% 49.27/49.50 apply (zenon_L13_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H5b | zenon_intro zenon_H373 ].
% 49.27/49.50 apply (zenon_L18_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H373); [ zenon_intro zenon_H353 | zenon_intro zenon_H121 ].
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H72 | zenon_intro zenon_H162 ].
% 49.27/49.50 apply (zenon_L543_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H10e | zenon_intro zenon_H169 ].
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H25 | zenon_intro zenon_H114 ].
% 49.27/49.50 apply (zenon_L4_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H54 | zenon_intro zenon_H115 ].
% 49.27/49.50 apply (zenon_L544_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H57 | zenon_intro zenon_H8c ].
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H25 | zenon_intro zenon_H41 ].
% 49.27/49.50 apply (zenon_L4_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H2c | zenon_intro zenon_H42 ].
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H2b | zenon_intro zenon_H163 ].
% 49.27/49.50 apply (zenon_L6_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H60 | zenon_intro zenon_H164 ].
% 49.27/49.50 apply (zenon_L546_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_He1 | zenon_intro zenon_He7 ].
% 49.27/49.50 apply (zenon_L44_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H17 | zenon_intro zenon_H191 ].
% 49.27/49.50 apply (zenon_L62_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H60 | zenon_intro zenon_H192 ].
% 49.27/49.50 apply (zenon_L546_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H188 | zenon_intro zenon_H18b ].
% 49.27/49.50 apply (zenon_L140_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ].
% 49.27/49.50 apply (zenon_L544_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ].
% 49.27/49.50 apply (zenon_L25_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ].
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H56 | zenon_intro zenon_H158 ].
% 49.27/49.50 apply (zenon_L17_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H64 | zenon_intro zenon_H159 ].
% 49.27/49.50 apply (zenon_L488_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H13d | zenon_intro zenon_H11b ].
% 49.27/49.50 apply (zenon_L88_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_He4 | zenon_intro zenon_H10c ].
% 49.27/49.50 apply (zenon_L491_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H9a | zenon_intro zenon_H10d ].
% 49.27/49.50 apply (zenon_L549_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H101 | zenon_intro zenon_H9b ].
% 49.27/49.50 apply (zenon_L57_); trivial.
% 49.27/49.50 apply (zenon_L533_); trivial.
% 49.27/49.50 apply (zenon_L504_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H39 ].
% 49.27/49.50 apply (zenon_L7_); trivial.
% 49.27/49.50 apply (zenon_L8_); trivial.
% 49.27/49.50 apply (zenon_L46_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_He4 | zenon_intro zenon_H110 ].
% 49.27/49.50 apply (zenon_L523_); trivial.
% 49.27/49.50 apply (zenon_L108_); trivial.
% 49.27/49.50 apply (zenon_L70_); trivial.
% 49.27/49.50 (* end of lemma zenon_L550_ *)
% 49.27/49.50 assert (zenon_L551_ : ((e10) = (op1 (e12) (e12))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e12) (e12)) = (op1 (e10) (e10)))) -> False).
% 49.27/49.50 do 0 intro. intros zenon_H1f zenon_H18 zenon_H374.
% 49.27/49.50 elim (classic ((op1 (e10) (e10)) = (op1 (e10) (e10)))); [ zenon_intro zenon_H27 | zenon_intro zenon_H28 ].
% 49.27/49.50 cut (((op1 (e10) (e10)) = (op1 (e10) (e10))) = ((op1 (e12) (e12)) = (op1 (e10) (e10)))).
% 49.27/49.50 intro zenon_D_pnotp.
% 49.27/49.50 apply zenon_H374.
% 49.27/49.50 rewrite <- zenon_D_pnotp.
% 49.27/49.50 exact zenon_H27.
% 49.27/49.50 cut (((op1 (e10) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H28].
% 49.27/49.50 cut (((op1 (e10) (e10)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H375].
% 49.27/49.50 congruence.
% 49.27/49.50 cut (((e10) = (op1 (e12) (e12))) = ((op1 (e10) (e10)) = (op1 (e12) (e12)))).
% 49.27/49.50 intro zenon_D_pnotp.
% 49.27/49.50 apply zenon_H375.
% 49.27/49.50 rewrite <- zenon_D_pnotp.
% 49.27/49.50 exact zenon_H1f.
% 49.27/49.50 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 49.27/49.50 cut (((e10) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1d].
% 49.27/49.50 congruence.
% 49.27/49.50 elim (classic ((op1 (e10) (e10)) = (op1 (e10) (e10)))); [ zenon_intro zenon_H27 | zenon_intro zenon_H28 ].
% 49.27/49.50 cut (((op1 (e10) (e10)) = (op1 (e10) (e10))) = ((e10) = (op1 (e10) (e10)))).
% 49.27/49.50 intro zenon_D_pnotp.
% 49.27/49.50 apply zenon_H1d.
% 49.27/49.50 rewrite <- zenon_D_pnotp.
% 49.27/49.50 exact zenon_H27.
% 49.27/49.50 cut (((op1 (e10) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H28].
% 49.27/49.50 cut (((op1 (e10) (e10)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H376].
% 49.27/49.50 congruence.
% 49.27/49.50 exact (zenon_H376 zenon_H18).
% 49.27/49.50 apply zenon_H28. apply refl_equal.
% 49.27/49.50 apply zenon_H28. apply refl_equal.
% 49.27/49.50 apply zenon_H45. apply refl_equal.
% 49.27/49.50 apply zenon_H28. apply refl_equal.
% 49.27/49.50 apply zenon_H28. apply refl_equal.
% 49.27/49.50 (* end of lemma zenon_L551_ *)
% 49.27/49.50 assert (zenon_L552_ : ((op1 (e13) (e10)) = (e10)) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> False).
% 49.27/49.50 do 0 intro. intros zenon_H91 zenon_H1f zenon_H18 zenon_H377.
% 49.27/49.50 elim (classic ((op1 (e13) (e10)) = (op1 (e13) (e10)))); [ zenon_intro zenon_H3b | zenon_intro zenon_H3c ].
% 49.27/49.50 cut (((op1 (e13) (e10)) = (op1 (e13) (e10))) = ((op1 (e10) (e10)) = (op1 (e13) (e10)))).
% 49.27/49.50 intro zenon_D_pnotp.
% 49.27/49.50 apply zenon_H377.
% 49.27/49.50 rewrite <- zenon_D_pnotp.
% 49.27/49.50 exact zenon_H3b.
% 49.27/49.50 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H3c].
% 49.27/49.50 cut (((op1 (e13) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H378].
% 49.27/49.50 congruence.
% 49.27/49.50 cut (((e10) = (op1 (e12) (e12))) = ((op1 (e13) (e10)) = (op1 (e10) (e10)))).
% 49.27/49.50 intro zenon_D_pnotp.
% 49.27/49.50 apply zenon_H378.
% 49.27/49.50 rewrite <- zenon_D_pnotp.
% 49.27/49.50 exact zenon_H1f.
% 49.27/49.50 cut (((op1 (e12) (e12)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H374].
% 49.27/49.50 cut (((e10) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H379].
% 49.27/49.50 congruence.
% 49.27/49.50 elim (classic ((op1 (e13) (e10)) = (op1 (e13) (e10)))); [ zenon_intro zenon_H3b | zenon_intro zenon_H3c ].
% 49.27/49.50 cut (((op1 (e13) (e10)) = (op1 (e13) (e10))) = ((e10) = (op1 (e13) (e10)))).
% 49.27/49.50 intro zenon_D_pnotp.
% 49.27/49.50 apply zenon_H379.
% 49.27/49.50 rewrite <- zenon_D_pnotp.
% 49.27/49.50 exact zenon_H3b.
% 49.27/49.50 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H3c].
% 49.27/49.50 cut (((op1 (e13) (e10)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H37a].
% 49.27/49.50 congruence.
% 49.27/49.50 exact (zenon_H37a zenon_H91).
% 49.27/49.50 apply zenon_H3c. apply refl_equal.
% 49.27/49.50 apply zenon_H3c. apply refl_equal.
% 49.27/49.50 apply (zenon_L551_); trivial.
% 49.27/49.50 apply zenon_H3c. apply refl_equal.
% 49.27/49.50 apply zenon_H3c. apply refl_equal.
% 49.27/49.50 (* end of lemma zenon_L552_ *)
% 49.27/49.50 assert (zenon_L553_ : ((op1 (e13) (e10)) = (e12)) -> ((op1 (e11) (e10)) = (e12)) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False).
% 49.27/49.50 do 0 intro. intros zenon_H92 zenon_H73 zenon_H3a.
% 49.27/49.50 elim (classic ((op1 (e13) (e10)) = (op1 (e13) (e10)))); [ zenon_intro zenon_H3b | zenon_intro zenon_H3c ].
% 49.27/49.50 cut (((op1 (e13) (e10)) = (op1 (e13) (e10))) = ((op1 (e11) (e10)) = (op1 (e13) (e10)))).
% 49.27/49.50 intro zenon_D_pnotp.
% 49.27/49.50 apply zenon_H3a.
% 49.27/49.50 rewrite <- zenon_D_pnotp.
% 49.27/49.50 exact zenon_H3b.
% 49.27/49.50 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H3c].
% 49.27/49.50 cut (((op1 (e13) (e10)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H3d].
% 49.27/49.50 congruence.
% 49.27/49.50 cut (((op1 (e13) (e10)) = (e12)) = ((op1 (e13) (e10)) = (op1 (e11) (e10)))).
% 49.27/49.50 intro zenon_D_pnotp.
% 49.27/49.50 apply zenon_H3d.
% 49.27/49.50 rewrite <- zenon_D_pnotp.
% 49.27/49.50 exact zenon_H92.
% 49.27/49.50 cut (((e12) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H74].
% 49.27/49.50 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H3c].
% 49.27/49.50 congruence.
% 49.27/49.50 apply zenon_H3c. apply refl_equal.
% 49.27/49.50 apply zenon_H74. apply sym_equal. exact zenon_H73.
% 49.27/49.50 apply zenon_H3c. apply refl_equal.
% 49.27/49.50 apply zenon_H3c. apply refl_equal.
% 49.27/49.50 (* end of lemma zenon_L553_ *)
% 49.27/49.50 assert (zenon_L554_ : (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e13) (e10)) = (e12)) -> (~((e10) = (e12))) -> ((op1 (e11) (e11)) = (e10)) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e13)) = (e11)) -> (~((e11) = (e12))) -> False).
% 49.27/49.50 do 0 intro. intros zenon_H160 zenon_H3a zenon_H92 zenon_H76 zenon_H60 zenon_He4 zenon_H63 zenon_Hab zenon_H96.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H73 | zenon_intro zenon_H167 ].
% 49.27/49.50 apply (zenon_L553_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H75 | zenon_intro zenon_H168 ].
% 49.27/49.50 apply (zenon_L24_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H9a | zenon_intro zenon_Hde ].
% 49.27/49.50 apply (zenon_L490_); trivial.
% 49.27/49.50 apply (zenon_L43_); trivial.
% 49.27/49.50 (* end of lemma zenon_L554_ *)
% 49.27/49.50 assert (zenon_L555_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e11) = (e12))) -> ((op1 (e11) (e13)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e12)) -> ((op1 (e11) (e11)) = (e10)) -> (~((e10) = (e12))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False).
% 49.27/49.50 do 0 intro. intros zenon_H365 zenon_H377 zenon_H18 zenon_H122 zenon_H96 zenon_Hab zenon_H63 zenon_He4 zenon_H60 zenon_H76 zenon_H160 zenon_H24 zenon_H1f zenon_H20 zenon_H3a.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H365); [ zenon_intro zenon_H91 | zenon_intro zenon_H366 ].
% 49.27/49.50 apply (zenon_L552_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H366); [ zenon_intro zenon_H121 | zenon_intro zenon_H367 ].
% 49.27/49.50 apply (zenon_L70_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H367); [ zenon_intro zenon_H92 | zenon_intro zenon_H39 ].
% 49.27/49.50 apply (zenon_L554_); trivial.
% 49.27/49.50 apply (zenon_L8_); trivial.
% 49.27/49.50 (* end of lemma zenon_L555_ *)
% 49.27/49.50 assert (zenon_L556_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (e10) (e11)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (e10)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> False).
% 49.27/49.50 do 0 intro. intros zenon_H37b zenon_H19 zenon_H17 zenon_H4a zenon_H73 zenon_H23 zenon_H24 zenon_H1f zenon_H20.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H37b); [ zenon_intro zenon_H18 | zenon_intro zenon_H37c ].
% 49.27/49.50 apply (zenon_L2_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H37c); [ zenon_intro zenon_H4b | zenon_intro zenon_H37d ].
% 49.27/49.50 apply (zenon_L13_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H72 | zenon_intro zenon_H25 ].
% 49.27/49.50 apply (zenon_L23_); trivial.
% 49.27/49.50 apply (zenon_L4_); trivial.
% 49.27/49.50 (* end of lemma zenon_L556_ *)
% 49.27/49.50 assert (zenon_L557_ : ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e13)) = (e10)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> False).
% 49.27/49.50 do 0 intro. intros zenon_H1f zenon_H37e zenon_H37f.
% 49.27/49.50 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_Hd1 | zenon_intro zenon_Hd2 ].
% 49.27/49.50 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((op1 (e12) (e12)) = (op1 (e12) (e13)))).
% 49.27/49.50 intro zenon_D_pnotp.
% 49.27/49.50 apply zenon_H37f.
% 49.27/49.50 rewrite <- zenon_D_pnotp.
% 49.27/49.50 exact zenon_Hd1.
% 49.27/49.50 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hd2].
% 49.27/49.50 cut (((op1 (e12) (e13)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H380].
% 49.27/49.50 congruence.
% 49.27/49.50 cut (((e10) = (op1 (e12) (e12))) = ((op1 (e12) (e13)) = (op1 (e12) (e12)))).
% 49.27/49.50 intro zenon_D_pnotp.
% 49.27/49.50 apply zenon_H380.
% 49.27/49.50 rewrite <- zenon_D_pnotp.
% 49.27/49.50 exact zenon_H1f.
% 49.27/49.50 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 49.27/49.50 cut (((e10) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H381].
% 49.27/49.50 congruence.
% 49.27/49.50 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_Hd1 | zenon_intro zenon_Hd2 ].
% 49.27/49.50 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((e10) = (op1 (e12) (e13)))).
% 49.27/49.50 intro zenon_D_pnotp.
% 49.27/49.50 apply zenon_H381.
% 49.27/49.50 rewrite <- zenon_D_pnotp.
% 49.27/49.50 exact zenon_Hd1.
% 49.27/49.50 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hd2].
% 49.27/49.50 cut (((op1 (e12) (e13)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H382].
% 49.27/49.50 congruence.
% 49.27/49.50 exact (zenon_H382 zenon_H37e).
% 49.27/49.50 apply zenon_Hd2. apply refl_equal.
% 49.27/49.50 apply zenon_Hd2. apply refl_equal.
% 49.27/49.50 apply zenon_H45. apply refl_equal.
% 49.27/49.50 apply zenon_Hd2. apply refl_equal.
% 49.27/49.50 apply zenon_Hd2. apply refl_equal.
% 49.27/49.50 (* end of lemma zenon_L557_ *)
% 49.27/49.50 assert (zenon_L558_ : (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> ((op1 (e12) (e13)) = (e12)) -> False).
% 49.27/49.50 do 0 intro. intros zenon_Hfa zenon_H110 zenon_H369.
% 49.27/49.50 cut (((op1 (e10) (e13)) = (e12)) = ((op1 (e10) (e13)) = (op1 (e12) (e13)))).
% 49.27/49.50 intro zenon_D_pnotp.
% 49.27/49.50 apply zenon_Hfa.
% 49.27/49.50 rewrite <- zenon_D_pnotp.
% 49.27/49.50 exact zenon_H110.
% 49.27/49.50 cut (((e12) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H36a].
% 49.27/49.50 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H8f].
% 49.27/49.50 congruence.
% 49.27/49.50 apply zenon_H8f. apply refl_equal.
% 49.27/49.50 apply zenon_H36a. apply sym_equal. exact zenon_H369.
% 49.27/49.50 (* end of lemma zenon_L558_ *)
% 49.27/49.50 assert (zenon_L559_ : (~((op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12))) = (op1 (e12) (e13)))) -> ((op1 (e11) (e10)) = (e13)) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e13)) = (e13)) -> False).
% 49.27/49.50 do 0 intro. intros zenon_H383 zenon_H2c zenon_H20 zenon_H1f zenon_Hfb.
% 49.27/49.50 cut (((op1 (e11) (e10)) = (e13)) = ((op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12))) = (op1 (e12) (e13)))).
% 49.27/49.50 intro zenon_D_pnotp.
% 49.27/49.50 apply zenon_H383.
% 49.27/49.50 rewrite <- zenon_D_pnotp.
% 49.27/49.50 exact zenon_H2c.
% 49.27/49.50 cut (((e13) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hfc].
% 49.27/49.50 cut (((op1 (e11) (e10)) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H384].
% 49.27/49.50 congruence.
% 49.27/49.50 elim (classic ((op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12))) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12))))); [ zenon_intro zenon_H385 | zenon_intro zenon_H386 ].
% 49.27/49.50 cut (((op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12))) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) = ((op1 (e11) (e10)) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12))))).
% 49.27/49.50 intro zenon_D_pnotp.
% 49.27/49.50 apply zenon_H384.
% 49.27/49.50 rewrite <- zenon_D_pnotp.
% 49.27/49.50 exact zenon_H385.
% 49.27/49.50 cut (((op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12))) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H386].
% 49.27/49.50 cut (((op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12))) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1e].
% 49.27/49.50 congruence.
% 49.27/49.50 apply (zenon_L3_); trivial.
% 49.27/49.50 apply zenon_H386. apply refl_equal.
% 49.27/49.50 apply zenon_H386. apply refl_equal.
% 49.27/49.50 apply zenon_Hfc. apply sym_equal. exact zenon_Hfb.
% 49.27/49.50 (* end of lemma zenon_L559_ *)
% 49.27/49.50 assert (zenon_L560_ : (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e13) (e13)) = (e13)) -> ((op1 (e11) (e10)) = (e13)) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> False).
% 49.27/49.50 do 0 intro. intros zenon_H387 zenon_H37f zenon_Hea zenon_H110 zenon_Hfa zenon_H24 zenon_H12c zenon_H2c zenon_H20 zenon_H1f zenon_Hc7.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H37e | zenon_intro zenon_H388 ].
% 49.27/49.50 apply (zenon_L557_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H388); [ zenon_intro zenon_He9 | zenon_intro zenon_H389 ].
% 49.27/49.50 apply (zenon_L48_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H389); [ zenon_intro zenon_H369 | zenon_intro zenon_Hfb ].
% 49.27/49.50 apply (zenon_L558_); trivial.
% 49.27/49.50 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_Ha5 | zenon_intro zenon_Ha6 ].
% 49.27/49.50 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((op1 (e12) (e13)) = (op1 (e13) (e13)))).
% 49.27/49.50 intro zenon_D_pnotp.
% 49.27/49.50 apply zenon_Hc7.
% 49.27/49.50 rewrite <- zenon_D_pnotp.
% 49.27/49.50 exact zenon_Ha5.
% 49.27/49.50 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Ha6].
% 49.27/49.50 cut (((op1 (e13) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H38a].
% 49.27/49.50 congruence.
% 49.27/49.50 cut (((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) = ((op1 (e13) (e13)) = (op1 (e12) (e13)))).
% 49.27/49.50 intro zenon_D_pnotp.
% 49.27/49.50 apply zenon_H38a.
% 49.27/49.50 rewrite <- zenon_D_pnotp.
% 49.27/49.50 exact zenon_H24.
% 49.27/49.50 cut (((op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12))) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H383].
% 49.27/49.50 cut (((e13) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H12d].
% 49.27/49.50 congruence.
% 49.27/49.50 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_Ha5 | zenon_intro zenon_Ha6 ].
% 49.27/49.50 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((e13) = (op1 (e13) (e13)))).
% 49.27/49.50 intro zenon_D_pnotp.
% 49.27/49.50 apply zenon_H12d.
% 49.27/49.50 rewrite <- zenon_D_pnotp.
% 49.27/49.50 exact zenon_Ha5.
% 49.27/49.50 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Ha6].
% 49.27/49.50 cut (((op1 (e13) (e13)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H15c].
% 49.27/49.50 congruence.
% 49.27/49.50 exact (zenon_H15c zenon_H12c).
% 49.27/49.50 apply zenon_Ha6. apply refl_equal.
% 49.27/49.50 apply zenon_Ha6. apply refl_equal.
% 49.27/49.50 apply (zenon_L559_); trivial.
% 49.27/49.50 apply zenon_Ha6. apply refl_equal.
% 49.27/49.50 apply zenon_Ha6. apply refl_equal.
% 49.27/49.50 (* end of lemma zenon_L560_ *)
% 49.27/49.50 assert (zenon_L561_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((e10) = (e13))) -> ((op1 (e13) (e11)) = (e10)) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> False).
% 49.27/49.50 do 0 intro. intros zenon_H135 zenon_H3a zenon_H2d zenon_H18b zenon_H57 zenon_H11d zenon_H387 zenon_H37f zenon_Hea zenon_H110 zenon_Hfa zenon_H24 zenon_H2c zenon_H20 zenon_H1f zenon_Hc7.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H39 | zenon_intro zenon_H136 ].
% 49.27/49.50 apply (zenon_L8_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hdc | zenon_intro zenon_H137 ].
% 49.27/49.50 apply (zenon_L504_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Haf | zenon_intro zenon_H12c ].
% 49.27/49.50 apply (zenon_L67_); trivial.
% 49.27/49.50 apply (zenon_L560_); trivial.
% 49.27/49.50 (* end of lemma zenon_L561_ *)
% 49.27/49.50 assert (zenon_L562_ : (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> ((op1 (e10) (e13)) = (e12)) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e11) (e11)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e13)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e13)) = (e10)) -> ((op1 (e13) (e11)) = (e13)) -> False).
% 49.27/49.50 do 0 intro. intros zenon_H11d zenon_H57 zenon_H110 zenon_H353 zenon_H60 zenon_H33 zenon_Hea zenon_H1f zenon_Hfb zenon_H24 zenon_H180 zenon_H35a zenon_Hdc.
% 49.27/49.50 apply (zenon_or_s _ _ ax10); [ zenon_intro zenon_H9d | zenon_intro zenon_Hd4 ].
% 49.27/49.50 apply (zenon_and_s _ _ zenon_H9d). zenon_intro zenon_Ha0. zenon_intro zenon_H9f.
% 49.27/49.50 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_Ha2. zenon_intro zenon_Ha1.
% 49.27/49.50 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_Ha4. zenon_intro zenon_Ha3.
% 49.27/49.50 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H104 | zenon_intro zenon_H105 ].
% 49.27/49.50 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((op1 (e10) (e12)) = (op1 (e13) (e12)))).
% 49.27/49.50 intro zenon_D_pnotp.
% 49.27/49.50 apply zenon_H11d.
% 49.27/49.50 rewrite <- zenon_D_pnotp.
% 49.27/49.50 exact zenon_H104.
% 49.27/49.50 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H105].
% 49.27/49.50 cut (((op1 (e13) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H12f].
% 49.27/49.50 congruence.
% 49.27/49.50 cut (((op1 (e13) (op1 (e10) (e13))) = (e13)) = ((op1 (e13) (e12)) = (op1 (e10) (e12)))).
% 49.27/49.50 intro zenon_D_pnotp.
% 49.27/49.50 apply zenon_H12f.
% 49.27/49.50 rewrite <- zenon_D_pnotp.
% 49.27/49.50 exact zenon_Ha3.
% 49.27/49.50 cut (((e13) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H103].
% 49.27/49.50 cut (((op1 (e13) (op1 (e10) (e13))) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H38b].
% 49.27/49.50 congruence.
% 49.27/49.50 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H104 | zenon_intro zenon_H105 ].
% 49.27/49.50 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((op1 (e13) (op1 (e10) (e13))) = (op1 (e13) (e12)))).
% 49.27/49.50 intro zenon_D_pnotp.
% 49.27/49.50 apply zenon_H38b.
% 49.27/49.50 rewrite <- zenon_D_pnotp.
% 49.27/49.50 exact zenon_H104.
% 49.27/49.50 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H105].
% 49.27/49.50 cut (((op1 (e13) (e12)) = (op1 (e13) (op1 (e10) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H38c].
% 49.27/49.50 congruence.
% 49.27/49.50 cut (((e12) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H38d].
% 49.27/49.50 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2f].
% 49.27/49.50 congruence.
% 49.27/49.50 apply zenon_H2f. apply refl_equal.
% 49.27/49.50 apply zenon_H38d. apply sym_equal. exact zenon_H110.
% 49.27/49.50 apply zenon_H105. apply refl_equal.
% 49.27/49.50 apply zenon_H105. apply refl_equal.
% 49.27/49.50 apply zenon_H103. apply sym_equal. exact zenon_H57.
% 49.27/49.50 apply zenon_H105. apply refl_equal.
% 49.27/49.50 apply zenon_H105. apply refl_equal.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Had | zenon_intro zenon_Hd5 ].
% 49.27/49.50 apply (zenon_L477_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hc6 ].
% 49.27/49.50 apply (zenon_L94_); trivial.
% 49.27/49.50 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hca. zenon_intro zenon_Hc9.
% 49.27/49.50 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hcc. zenon_intro zenon_Hcb.
% 49.27/49.50 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hce. zenon_intro zenon_Hcd.
% 49.27/49.50 cut (((op1 (e13) (op1 (e13) (e13))) = (e13)) = ((op1 (e13) (e10)) = (op1 (e13) (e11)))).
% 49.27/49.50 intro zenon_D_pnotp.
% 49.27/49.50 apply zenon_H180.
% 49.27/49.50 rewrite <- zenon_D_pnotp.
% 49.27/49.50 exact zenon_Hcd.
% 49.27/49.50 cut (((e13) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H181].
% 49.27/49.50 cut (((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H35c].
% 49.27/49.50 congruence.
% 49.27/49.50 elim (classic ((op1 (e13) (e10)) = (op1 (e13) (e10)))); [ zenon_intro zenon_H3b | zenon_intro zenon_H3c ].
% 49.27/49.50 cut (((op1 (e13) (e10)) = (op1 (e13) (e10))) = ((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e10)))).
% 49.27/49.50 intro zenon_D_pnotp.
% 49.27/49.50 apply zenon_H35c.
% 49.27/49.50 rewrite <- zenon_D_pnotp.
% 49.27/49.50 exact zenon_H3b.
% 49.27/49.50 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H3c].
% 49.27/49.50 cut (((op1 (e13) (e10)) = (op1 (e13) (op1 (e13) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H359].
% 49.27/49.50 congruence.
% 49.27/49.50 apply (zenon_L482_); trivial.
% 49.27/49.50 apply zenon_H3c. apply refl_equal.
% 49.27/49.50 apply zenon_H3c. apply refl_equal.
% 49.27/49.50 apply zenon_H181. apply sym_equal. exact zenon_Hdc.
% 49.27/49.50 (* end of lemma zenon_L562_ *)
% 49.27/49.50 assert (zenon_L563_ : (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((op1 (e13) (e11)) = (e13)) -> ((op1 (e13) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (e11)) = (e10)) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> False).
% 49.27/49.50 do 0 intro. intros zenon_H151 zenon_H111 zenon_H146 zenon_Hdc zenon_H35a zenon_H180 zenon_H33 zenon_H60 zenon_H353 zenon_H57 zenon_H11d zenon_H387 zenon_H37f zenon_Hea zenon_H110 zenon_Hfa zenon_H24 zenon_H2c zenon_H20 zenon_H1f zenon_Hc7.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H8c | zenon_intro zenon_H152 ].
% 49.27/49.50 apply (zenon_L63_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H145 | zenon_intro zenon_H153 ].
% 49.27/49.50 apply (zenon_L93_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_Hfb | zenon_intro zenon_H12c ].
% 49.27/49.50 apply (zenon_L562_); trivial.
% 49.27/49.50 apply (zenon_L560_); trivial.
% 49.27/49.50 (* end of lemma zenon_L563_ *)
% 49.27/49.50 assert (zenon_L564_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e11) (e11)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e13)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> False).
% 49.27/49.50 do 0 intro. intros zenon_H135 zenon_H3a zenon_H353 zenon_H60 zenon_H33 zenon_H180 zenon_H35a zenon_H146 zenon_H111 zenon_H151 zenon_H57 zenon_H11d zenon_H387 zenon_H37f zenon_Hea zenon_H110 zenon_Hfa zenon_H24 zenon_H2c zenon_H20 zenon_H1f zenon_Hc7.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H39 | zenon_intro zenon_H136 ].
% 49.27/49.50 apply (zenon_L8_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hdc | zenon_intro zenon_H137 ].
% 49.27/49.50 apply (zenon_L563_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Haf | zenon_intro zenon_H12c ].
% 49.27/49.50 apply (zenon_L67_); trivial.
% 49.27/49.50 apply (zenon_L560_); trivial.
% 49.27/49.50 (* end of lemma zenon_L564_ *)
% 49.27/49.50 assert (zenon_L565_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((e10) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e11) (e11)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> False).
% 49.27/49.50 do 0 intro. intros zenon_H35d zenon_H377 zenon_H18 zenon_H2d zenon_H117 zenon_H135 zenon_H3a zenon_H353 zenon_H60 zenon_H33 zenon_H180 zenon_H146 zenon_H111 zenon_H151 zenon_H57 zenon_H11d zenon_H387 zenon_H37f zenon_Hea zenon_H110 zenon_Hfa zenon_H24 zenon_H2c zenon_H20 zenon_H1f zenon_Hc7.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_H91 | zenon_intro zenon_H35e ].
% 49.27/49.50 apply (zenon_L552_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H18b | zenon_intro zenon_H35f ].
% 49.27/49.50 apply (zenon_L561_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H116 | zenon_intro zenon_H35a ].
% 49.27/49.50 apply (zenon_L65_); trivial.
% 49.27/49.50 apply (zenon_L564_); trivial.
% 49.27/49.50 (* end of lemma zenon_L565_ *)
% 49.27/49.50 assert (zenon_L566_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (e10)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False).
% 49.27/49.50 do 0 intro. intros zenon_H40 zenon_Hc7 zenon_Hfa zenon_H110 zenon_Hea zenon_H37f zenon_H387 zenon_H11d zenon_H57 zenon_H2d zenon_H135 zenon_H187 zenon_H35d zenon_H377 zenon_H18 zenon_H117 zenon_H353 zenon_H180 zenon_H146 zenon_H111 zenon_H151 zenon_H37b zenon_H19 zenon_H4a zenon_H73 zenon_H23 zenon_H190 zenon_H33 zenon_H24 zenon_H1f zenon_H20 zenon_H3a.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H25 | zenon_intro zenon_H41 ].
% 49.27/49.50 apply (zenon_L4_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H2c | zenon_intro zenon_H42 ].
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H17 | zenon_intro zenon_H191 ].
% 49.27/49.50 apply (zenon_L556_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H60 | zenon_intro zenon_H192 ].
% 49.27/49.50 apply (zenon_L565_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H188 | zenon_intro zenon_H18b ].
% 49.27/49.50 apply (zenon_L140_); trivial.
% 49.27/49.50 apply (zenon_L561_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H39 ].
% 49.27/49.50 apply (zenon_L7_); trivial.
% 49.27/49.50 apply (zenon_L8_); trivial.
% 49.27/49.50 (* end of lemma zenon_L566_ *)
% 49.27/49.50 assert (zenon_L567_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e11) = (e13))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e11) (e10)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> ((op1 (e10) (e13)) = (e12)) -> (~((e12) = (e13))) -> False).
% 49.27/49.50 do 0 intro. intros zenon_H113 zenon_H58 zenon_H4e zenon_H3a zenon_H20 zenon_H1f zenon_H24 zenon_H33 zenon_H190 zenon_H23 zenon_H73 zenon_H4a zenon_H19 zenon_H37b zenon_H151 zenon_H146 zenon_H180 zenon_H353 zenon_H117 zenon_H18 zenon_H377 zenon_H35d zenon_H187 zenon_H135 zenon_H2d zenon_H11d zenon_H387 zenon_H37f zenon_Hea zenon_Hfa zenon_Hc7 zenon_H40 zenon_H110 zenon_H111.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H25 | zenon_intro zenon_H114 ].
% 49.27/49.50 apply (zenon_L4_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H54 | zenon_intro zenon_H115 ].
% 49.27/49.50 apply (zenon_L113_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H57 | zenon_intro zenon_H8c ].
% 49.27/49.50 apply (zenon_L566_); trivial.
% 49.27/49.50 apply (zenon_L63_); trivial.
% 49.27/49.50 (* end of lemma zenon_L567_ *)
% 49.27/49.50 assert (zenon_L568_ : (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e13)) = (e12)) -> ((op1 (e12) (e13)) = (e12)) -> False).
% 49.27/49.50 do 0 intro. intros zenon_H185 zenon_Hde zenon_H369.
% 49.27/49.50 cut (((op1 (e11) (e13)) = (e12)) = ((op1 (e11) (e13)) = (op1 (e12) (e13)))).
% 49.27/49.50 intro zenon_D_pnotp.
% 49.27/49.50 apply zenon_H185.
% 49.27/49.50 rewrite <- zenon_D_pnotp.
% 49.27/49.50 exact zenon_Hde.
% 49.27/49.50 cut (((e12) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H36a].
% 49.27/49.50 cut (((op1 (e11) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H148].
% 49.27/49.50 congruence.
% 49.27/49.50 apply zenon_H148. apply refl_equal.
% 49.27/49.50 apply zenon_H36a. apply sym_equal. exact zenon_H369.
% 49.27/49.50 (* end of lemma zenon_L568_ *)
% 49.27/49.50 assert (zenon_L569_ : (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> False).
% 49.27/49.50 do 0 intro. intros zenon_H387 zenon_H37f zenon_Hea zenon_H1f zenon_H20 zenon_Hde zenon_H185 zenon_Hfa zenon_H8c.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H37e | zenon_intro zenon_H388 ].
% 49.27/49.50 apply (zenon_L557_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H388); [ zenon_intro zenon_He9 | zenon_intro zenon_H389 ].
% 49.27/49.50 apply (zenon_L48_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H389); [ zenon_intro zenon_H369 | zenon_intro zenon_Hfb ].
% 49.27/49.50 apply (zenon_L568_); trivial.
% 49.27/49.50 apply (zenon_L54_); trivial.
% 49.27/49.50 (* end of lemma zenon_L569_ *)
% 49.27/49.50 assert (zenon_L570_ : (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e13)) = (e11)) -> ((op1 (e13) (e12)) = (e13)) -> False).
% 49.27/49.50 do 0 intro. intros zenon_H9e zenon_H8c zenon_He7 zenon_H18e zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_Hae zenon_Hf3 zenon_Haf.
% 49.27/49.50 apply (zenon_or_s _ _ ax10); [ zenon_intro zenon_H9d | zenon_intro zenon_Hd4 ].
% 49.27/49.50 apply (zenon_L33_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Had | zenon_intro zenon_Hd5 ].
% 49.27/49.50 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hb1. zenon_intro zenon_Hb0.
% 49.27/49.50 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Hb3. zenon_intro zenon_Hb2.
% 49.27/49.50 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_Hb5. zenon_intro zenon_Hb4.
% 49.27/49.50 cut (((op1 (e13) (op1 (e11) (e13))) = (e13)) = ((op1 (e13) (e10)) = (op1 (e13) (e12)))).
% 49.27/49.50 intro zenon_D_pnotp.
% 49.27/49.50 apply zenon_H18e.
% 49.27/49.50 rewrite <- zenon_D_pnotp.
% 49.27/49.50 exact zenon_Hb4.
% 49.27/49.50 cut (((e13) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_Hb6].
% 49.27/49.50 cut (((op1 (e13) (op1 (e11) (e13))) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H13b].
% 49.27/49.50 congruence.
% 49.27/49.50 elim (classic ((op1 (e13) (e10)) = (op1 (e13) (e10)))); [ zenon_intro zenon_H3b | zenon_intro zenon_H3c ].
% 49.27/49.50 cut (((op1 (e13) (e10)) = (op1 (e13) (e10))) = ((op1 (e13) (op1 (e11) (e13))) = (op1 (e13) (e10)))).
% 49.27/49.50 intro zenon_D_pnotp.
% 49.27/49.50 apply zenon_H13b.
% 49.27/49.50 rewrite <- zenon_D_pnotp.
% 49.27/49.50 exact zenon_H3b.
% 49.27/49.50 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H3c].
% 49.27/49.50 cut (((op1 (e13) (e10)) = (op1 (e13) (op1 (e11) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H138].
% 49.27/49.50 congruence.
% 49.27/49.50 apply (zenon_L82_); trivial.
% 49.27/49.50 apply zenon_H3c. apply refl_equal.
% 49.27/49.50 apply zenon_H3c. apply refl_equal.
% 49.27/49.50 apply zenon_Hb6. apply sym_equal. exact zenon_Haf.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hc6 ].
% 49.27/49.50 apply (zenon_L37_); trivial.
% 49.27/49.50 apply (zenon_L50_); trivial.
% 49.27/49.50 (* end of lemma zenon_L570_ *)
% 49.27/49.50 assert (zenon_L571_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e13) (e13)) = (e12)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False).
% 49.27/49.50 do 0 intro. intros zenon_H365 zenon_H377 zenon_H18 zenon_H122 zenon_Hc8 zenon_H13a zenon_H24 zenon_H1f zenon_H20 zenon_H3a.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H365); [ zenon_intro zenon_H91 | zenon_intro zenon_H366 ].
% 49.27/49.50 apply (zenon_L552_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H366); [ zenon_intro zenon_H121 | zenon_intro zenon_H367 ].
% 49.27/49.50 apply (zenon_L70_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H367); [ zenon_intro zenon_H92 | zenon_intro zenon_H39 ].
% 49.27/49.50 apply (zenon_L507_); trivial.
% 49.27/49.50 apply (zenon_L8_); trivial.
% 49.27/49.50 (* end of lemma zenon_L571_ *)
% 49.27/49.50 assert (zenon_L572_ : (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (e10)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e10) (e11)) = (e11)) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e12)) -> ((op1 (e11) (e11)) = (e10)) -> (~((e10) = (e12))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e11)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e13)) = (e11)) -> ((op1 (e13) (e12)) = (e13)) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False).
% 49.27/49.50 do 0 intro. intros zenon_H36b zenon_H111 zenon_H40 zenon_Hc7 zenon_H11d zenon_H2d zenon_H135 zenon_H187 zenon_H35d zenon_H117 zenon_H353 zenon_H180 zenon_H151 zenon_H37b zenon_H19 zenon_H4a zenon_H73 zenon_H23 zenon_H190 zenon_H33 zenon_H4e zenon_H58 zenon_H113 zenon_Hfa zenon_Hea zenon_H37f zenon_H387 zenon_H146 zenon_H185 zenon_H96 zenon_H63 zenon_He4 zenon_H60 zenon_H76 zenon_H160 zenon_H9e zenon_H8c zenon_H18e zenon_H6c zenon_Hbe zenon_Hae zenon_Hf3 zenon_Haf zenon_H182 zenon_H365 zenon_H377 zenon_H18 zenon_H122 zenon_H13a zenon_H24 zenon_H1f zenon_H20 zenon_H3a.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H36b); [ zenon_intro zenon_H110 | zenon_intro zenon_H36c ].
% 49.27/49.50 apply (zenon_L567_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_Hde | zenon_intro zenon_H36d ].
% 49.27/49.50 apply (zenon_L569_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H36d); [ zenon_intro zenon_H369 | zenon_intro zenon_Hc8 ].
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_He7 | zenon_intro zenon_H183 ].
% 49.27/49.50 apply (zenon_L570_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_Hab | zenon_intro zenon_H184 ].
% 49.27/49.50 apply (zenon_L555_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hde | zenon_intro zenon_H145 ].
% 49.27/49.50 apply (zenon_L568_); trivial.
% 49.27/49.50 apply (zenon_L93_); trivial.
% 49.27/49.50 apply (zenon_L571_); trivial.
% 49.27/49.50 (* end of lemma zenon_L572_ *)
% 49.27/49.50 assert (zenon_L573_ : (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((e10) = (e12))) -> ((op1 (e11) (e11)) = (e10)) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e11) = (e13))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e11) (e10)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e13) (e11)) = (e13)) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> False).
% 49.27/49.50 do 0 intro. intros zenon_Hfd zenon_H3a zenon_H1f zenon_H13a zenon_H122 zenon_H18 zenon_H377 zenon_H365 zenon_H182 zenon_Hae zenon_H6c zenon_H18e zenon_H9e zenon_H160 zenon_H76 zenon_H60 zenon_He4 zenon_H63 zenon_H96 zenon_H185 zenon_H146 zenon_H387 zenon_H37f zenon_Hea zenon_H113 zenon_H58 zenon_H4e zenon_H33 zenon_H190 zenon_H23 zenon_H73 zenon_H4a zenon_H19 zenon_H37b zenon_H151 zenon_H180 zenon_H353 zenon_H117 zenon_H35d zenon_H187 zenon_H135 zenon_H2d zenon_H11d zenon_Hc7 zenon_H40 zenon_H111 zenon_H36b zenon_H108 zenon_He0 zenon_H99 zenon_H82 zenon_Hdc zenon_H126 zenon_Hd9 zenon_H20 zenon_H24 zenon_H8b zenon_Hfa zenon_H8c.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hfe ].
% 49.27/49.50 apply (zenon_L7_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hff ].
% 49.27/49.50 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H57 | zenon_intro zenon_Hda ].
% 49.27/49.50 apply (zenon_L69_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H81 | zenon_intro zenon_Hdb ].
% 49.27/49.50 apply (zenon_L26_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H89 | zenon_intro zenon_Haf ].
% 49.27/49.50 apply (zenon_L28_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H121 | zenon_intro zenon_H127 ].
% 49.27/49.50 apply (zenon_L70_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H94 | zenon_intro zenon_H128 ].
% 49.27/49.50 apply (zenon_L42_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H11b | zenon_intro zenon_Hf3 ].
% 49.27/49.50 apply (zenon_L491_); trivial.
% 49.27/49.50 apply (zenon_L572_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H89 | zenon_intro zenon_Hfb ].
% 49.27/49.50 apply (zenon_L28_); trivial.
% 49.27/49.50 apply (zenon_L54_); trivial.
% 49.27/49.50 (* end of lemma zenon_L573_ *)
% 49.27/49.50 assert (zenon_L574_ : (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> False).
% 49.27/49.50 do 0 intro. intros zenon_Hfd zenon_H33 zenon_H1f zenon_H54 zenon_H18d zenon_H20 zenon_H24 zenon_H8b zenon_Hfa zenon_H8c.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hfe ].
% 49.27/49.50 apply (zenon_L7_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hff ].
% 49.27/49.50 apply (zenon_L144_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H89 | zenon_intro zenon_Hfb ].
% 49.27/49.50 apply (zenon_L28_); trivial.
% 49.27/49.50 apply (zenon_L54_); trivial.
% 49.27/49.50 (* end of lemma zenon_L574_ *)
% 49.27/49.50 assert (zenon_L575_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e11) (e10)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (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 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e12) = (e13))) -> ((op1 (e10) (e12)) = (e12)) -> ((op1 (e10) (e13)) = (e11)) -> (~((e11) = (e13))) -> False).
% 49.27/49.50 do 0 intro. intros zenon_H113 zenon_H3a zenon_H20 zenon_H1f zenon_H24 zenon_H33 zenon_H161 zenon_H2d zenon_H15f zenon_H190 zenon_H23 zenon_H73 zenon_H4a zenon_H19 zenon_H37b zenon_H18e zenon_Hea zenon_H353 zenon_Hae zenon_H117 zenon_Hd6 zenon_H76 zenon_H13a zenon_H12b zenon_H362 zenon_Hc7 zenon_H35d zenon_H185 zenon_Hd9 zenon_H135 zenon_H146 zenon_H8b zenon_H151 zenon_H15a zenon_H18d zenon_Hfd zenon_H6c zenon_H16c zenon_H187 zenon_H155 zenon_H96 zenon_H9e zenon_H4f zenon_H122 zenon_H126 zenon_H360 zenon_H108 zenon_He0 zenon_H99 zenon_H63 zenon_H82 zenon_H40 zenon_H111 zenon_He4 zenon_He6 zenon_H58.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H25 | zenon_intro zenon_H114 ].
% 49.27/49.50 apply (zenon_L4_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H54 | zenon_intro zenon_H115 ].
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H25 | zenon_intro zenon_H41 ].
% 49.27/49.50 apply (zenon_L4_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H2c | zenon_intro zenon_H42 ].
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H2b | zenon_intro zenon_H163 ].
% 49.27/49.50 apply (zenon_L6_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H60 | zenon_intro zenon_H164 ].
% 49.27/49.50 apply (zenon_L521_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_He1 | zenon_intro zenon_He7 ].
% 49.27/49.50 apply (zenon_L44_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H17 | zenon_intro zenon_H191 ].
% 49.27/49.50 apply (zenon_L556_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H60 | zenon_intro zenon_H192 ].
% 49.27/49.50 apply (zenon_L522_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H188 | zenon_intro zenon_H18b ].
% 49.27/49.50 apply (zenon_L140_); trivial.
% 49.27/49.50 apply (zenon_L492_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H39 ].
% 49.27/49.50 apply (zenon_L7_); trivial.
% 49.27/49.50 apply (zenon_L8_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H57 | zenon_intro zenon_H8c ].
% 49.27/49.50 apply (zenon_L69_); trivial.
% 49.27/49.50 apply (zenon_L46_); trivial.
% 49.27/49.50 (* end of lemma zenon_L575_ *)
% 49.27/49.50 assert (zenon_L576_ : (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e10) = (e11))) -> ((op1 (e13) (e11)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e13) (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) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e13)) -> False).
% 49.27/49.50 do 0 intro. intros zenon_H126 zenon_H122 zenon_H4f zenon_H18b zenon_H82 zenon_H20 zenon_H63 zenon_He4 zenon_H99 zenon_He0 zenon_H108 zenon_H9e zenon_H8c zenon_He7 zenon_H18e zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_Hae zenon_Haf.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H121 | zenon_intro zenon_H127 ].
% 49.27/49.50 apply (zenon_L70_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H94 | zenon_intro zenon_H128 ].
% 49.27/49.50 apply (zenon_L481_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H11b | zenon_intro zenon_Hf3 ].
% 49.27/49.50 apply (zenon_L491_); trivial.
% 49.27/49.50 apply (zenon_L570_); trivial.
% 49.27/49.50 (* end of lemma zenon_L576_ *)
% 49.27/49.50 assert (zenon_L577_ : (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((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 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e10) = (e11))) -> ((op1 (e13) (e11)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e13) (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) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False).
% 49.27/49.50 do 0 intro. intros zenon_Hd9 zenon_H111 zenon_H8b zenon_H126 zenon_H122 zenon_H4f zenon_H18b zenon_H82 zenon_H20 zenon_H63 zenon_He4 zenon_H99 zenon_He0 zenon_H108 zenon_H9e zenon_H8c zenon_He7 zenon_H18e zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_Hae.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H57 | zenon_intro zenon_Hda ].
% 49.27/49.50 apply (zenon_L69_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H81 | zenon_intro zenon_Hdb ].
% 49.27/49.50 apply (zenon_L26_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H89 | zenon_intro zenon_Haf ].
% 49.27/49.50 apply (zenon_L28_); trivial.
% 49.27/49.50 apply (zenon_L576_); trivial.
% 49.27/49.50 (* end of lemma zenon_L577_ *)
% 49.27/49.50 assert (zenon_L578_ : (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e13)) = (e10)) -> ((op1 (e10) (e13)) = (e13)) -> (~((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 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e13) (e11)) = (e10)) -> (~((e10) = (e13))) -> False).
% 49.27/49.50 do 0 intro. intros zenon_H154 zenon_Hfa zenon_H18d zenon_H33 zenon_Hfd zenon_H7b zenon_Hae zenon_H24 zenon_H1f zenon_H6c zenon_H18e zenon_He7 zenon_H8c zenon_H9e zenon_H108 zenon_He0 zenon_H99 zenon_He4 zenon_H63 zenon_H20 zenon_H82 zenon_H4f zenon_H122 zenon_H126 zenon_H8b zenon_H111 zenon_Hd9 zenon_H18b zenon_H2d.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ].
% 49.27/49.50 apply (zenon_L574_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ].
% 49.27/49.50 apply (zenon_L25_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ].
% 49.27/49.50 apply (zenon_L577_); trivial.
% 49.27/49.50 apply (zenon_L504_); trivial.
% 49.27/49.50 (* end of lemma zenon_L578_ *)
% 49.27/49.50 assert (zenon_L579_ : ((op1 (e11) (e10)) = (e13)) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (e10)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((op1 (e10) (e11)) = (e11)) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((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 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e13)) = (e13)) -> (~((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 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((e10) = (e13))) -> False).
% 49.27/49.50 do 0 intro. intros zenon_H2c zenon_H15e zenon_H36e zenon_H173 zenon_H10b zenon_H142 zenon_H368 zenon_H13f zenon_H11e zenon_H371 zenon_H36b zenon_H40 zenon_Hc7 zenon_H11d zenon_H135 zenon_H35d zenon_H117 zenon_H353 zenon_H180 zenon_H151 zenon_H37b zenon_H19 zenon_H4a zenon_H73 zenon_H23 zenon_H190 zenon_H4e zenon_H58 zenon_H113 zenon_Hea zenon_H37f zenon_H387 zenon_H146 zenon_H185 zenon_H96 zenon_H76 zenon_H160 zenon_H182 zenon_H365 zenon_H377 zenon_H18 zenon_H13a zenon_H3a zenon_Hf7 zenon_H360 zenon_H155 zenon_H16c zenon_H15a zenon_H362 zenon_H12b zenon_Hd6 zenon_H15f zenon_H161 zenon_H187 zenon_H154 zenon_Hfa zenon_H18d zenon_H33 zenon_Hfd zenon_H7b zenon_Hae zenon_H24 zenon_H1f zenon_H6c zenon_H18e zenon_H8c zenon_H9e zenon_H108 zenon_He0 zenon_H99 zenon_He4 zenon_H63 zenon_H20 zenon_H82 zenon_H4f zenon_H122 zenon_H126 zenon_H8b zenon_H111 zenon_Hd9 zenon_H2d.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H2b | zenon_intro zenon_H163 ].
% 49.27/49.50 apply (zenon_L6_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H60 | zenon_intro zenon_H164 ].
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ].
% 49.27/49.50 apply (zenon_L113_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ].
% 49.27/49.50 apply (zenon_L25_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ].
% 49.27/49.50 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H57 | zenon_intro zenon_Hda ].
% 49.27/49.50 apply (zenon_L69_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H81 | zenon_intro zenon_Hdb ].
% 49.27/49.50 apply (zenon_L26_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H89 | zenon_intro zenon_Haf ].
% 49.27/49.50 apply (zenon_L28_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He6 | zenon_intro zenon_Hf8 ].
% 49.27/49.50 apply (zenon_L550_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Hab | zenon_intro zenon_Hf9 ].
% 49.27/49.50 apply (zenon_L555_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_He9 | zenon_intro zenon_Hf3 ].
% 49.27/49.50 apply (zenon_L48_); trivial.
% 49.27/49.50 apply (zenon_L572_); trivial.
% 49.27/49.50 apply (zenon_L573_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_He1 | zenon_intro zenon_He7 ].
% 49.27/49.50 apply (zenon_L44_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H17 | zenon_intro zenon_H191 ].
% 49.27/49.50 apply (zenon_L14_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H60 | zenon_intro zenon_H192 ].
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ].
% 49.27/49.50 apply (zenon_L574_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ].
% 49.27/49.50 apply (zenon_L25_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ].
% 49.27/49.50 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H57 | zenon_intro zenon_Hda ].
% 49.27/49.50 apply (zenon_L69_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H81 | zenon_intro zenon_Hdb ].
% 49.27/49.50 apply (zenon_L26_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H89 | zenon_intro zenon_Haf ].
% 49.27/49.50 apply (zenon_L28_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He6 | zenon_intro zenon_Hf8 ].
% 49.27/49.50 apply (zenon_L575_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Hab | zenon_intro zenon_Hf9 ].
% 49.27/49.50 apply (zenon_L555_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_He9 | zenon_intro zenon_Hf3 ].
% 49.27/49.50 apply (zenon_L48_); trivial.
% 49.27/49.50 apply (zenon_L570_); trivial.
% 49.27/49.50 apply (zenon_L573_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H188 | zenon_intro zenon_H18b ].
% 49.27/49.50 apply (zenon_L140_); trivial.
% 49.27/49.50 apply (zenon_L578_); trivial.
% 49.27/49.50 (* end of lemma zenon_L579_ *)
% 49.27/49.50 assert (zenon_L580_ : (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e11)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e11) = (e13))) -> (~((e10) = (e11))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False).
% 49.27/49.50 do 0 intro. intros zenon_Hd9 zenon_H11d zenon_H99 zenon_H64 zenon_H117 zenon_H11e zenon_H82 zenon_H8b zenon_Hf7 zenon_H58 zenon_H4f zenon_He7 zenon_Hea zenon_H20 zenon_H9e zenon_H8c zenon_He0 zenon_H9a zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_Hae.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H57 | zenon_intro zenon_Hda ].
% 49.27/49.50 apply (zenon_L68_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H81 | zenon_intro zenon_Hdb ].
% 49.27/49.50 apply (zenon_L26_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H89 | zenon_intro zenon_Haf ].
% 49.27/49.50 apply (zenon_L28_); trivial.
% 49.27/49.50 apply (zenon_L52_); trivial.
% 49.27/49.50 (* end of lemma zenon_L580_ *)
% 49.27/49.50 assert (zenon_L581_ : (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((e10) = (e12))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> ((op1 (e11) (e11)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e10) (e10)) = (e12)) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e11) (e13)) = (e10)) -> (~((e10) = (e11))) -> False).
% 49.27/49.50 do 0 intro. intros zenon_H15f zenon_H76 zenon_Hfd zenon_H33 zenon_Hae zenon_H1f zenon_H6c zenon_He0 zenon_H9e zenon_Hea zenon_H58 zenon_Hf7 zenon_H82 zenon_H11e zenon_H117 zenon_H99 zenon_H11d zenon_Hd9 zenon_H20 zenon_H24 zenon_H8b zenon_Hfa zenon_H8c zenon_H60 zenon_H23 zenon_H72 zenon_H160 zenon_He7 zenon_H4f.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H5b | zenon_intro zenon_H165 ].
% 49.27/49.50 apply (zenon_L18_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H61 | zenon_intro zenon_H166 ].
% 49.27/49.50 apply (zenon_L19_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H64 | zenon_intro zenon_Hab ].
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H73 | zenon_intro zenon_H167 ].
% 49.27/49.50 apply (zenon_L23_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H75 | zenon_intro zenon_H168 ].
% 49.27/49.50 apply (zenon_L24_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H9a | zenon_intro zenon_Hde ].
% 49.27/49.50 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hfe ].
% 49.27/49.50 apply (zenon_L7_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hff ].
% 49.27/49.50 apply (zenon_L580_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H89 | zenon_intro zenon_Hfb ].
% 49.27/49.50 apply (zenon_L28_); trivial.
% 49.27/49.50 apply (zenon_L54_); trivial.
% 49.27/49.50 apply (zenon_L505_); trivial.
% 49.27/49.50 apply (zenon_L47_); trivial.
% 49.27/49.50 (* end of lemma zenon_L581_ *)
% 49.27/49.50 assert (zenon_L582_ : (~((e10) = (e13))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((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 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e13) (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) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((e10) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e10) (e10)) = (e12)) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e10) (e11)) = (e11)) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e12) (e10)) = (e11)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False).
% 49.27/49.50 do 0 intro. intros zenon_H2d zenon_Hd9 zenon_H111 zenon_H8b zenon_H126 zenon_H122 zenon_H4f zenon_H82 zenon_H63 zenon_He4 zenon_H99 zenon_He0 zenon_H108 zenon_H9e zenon_H18e zenon_H6c zenon_Hae zenon_H7b zenon_Hfd zenon_H18d zenon_Hfa zenon_H154 zenon_H187 zenon_H15f zenon_H76 zenon_Hea zenon_H58 zenon_Hf7 zenon_H11e zenon_H117 zenon_H11d zenon_H23 zenon_H72 zenon_H160 zenon_H16a zenon_H19 zenon_H43 zenon_H16b zenon_H4a zenon_H16c zenon_H67 zenon_H15e zenon_H40 zenon_H155 zenon_H10b zenon_H13f zenon_H135 zenon_H142 zenon_H13a zenon_H12b zenon_H15a zenon_H146 zenon_H151 zenon_Hc7 zenon_Hd6 zenon_H161 zenon_H113 zenon_H96 zenon_H190 zenon_H362 zenon_H360 zenon_H18 zenon_H377 zenon_H365 zenon_H182 zenon_H4e zenon_H37b zenon_H180 zenon_H353 zenon_H35d zenon_H36b zenon_H371 zenon_H368 zenon_H173 zenon_H36e zenon_H387 zenon_H37f zenon_H185 zenon_H33 zenon_H24 zenon_H1f zenon_H20 zenon_H3a.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H25 | zenon_intro zenon_H114 ].
% 49.27/49.50 apply (zenon_L4_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H54 | zenon_intro zenon_H115 ].
% 49.27/49.50 apply (zenon_L113_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H57 | zenon_intro zenon_H8c ].
% 49.27/49.50 apply (zenon_L69_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H25 | zenon_intro zenon_H41 ].
% 49.27/49.50 apply (zenon_L4_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H2c | zenon_intro zenon_H42 ].
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H2b | zenon_intro zenon_H163 ].
% 49.27/49.50 apply (zenon_L6_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H60 | zenon_intro zenon_H164 ].
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H73 | zenon_intro zenon_H167 ].
% 49.27/49.50 apply (zenon_L579_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H75 | zenon_intro zenon_H168 ].
% 49.27/49.50 apply (zenon_L24_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H9a | zenon_intro zenon_Hde ].
% 49.27/49.50 apply (zenon_L490_); trivial.
% 49.27/49.50 apply (zenon_L569_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_He1 | zenon_intro zenon_He7 ].
% 49.27/49.50 apply (zenon_L44_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H17 | zenon_intro zenon_H191 ].
% 49.27/49.50 apply (zenon_L110_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H60 | zenon_intro zenon_H192 ].
% 49.27/49.50 apply (zenon_L581_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H188 | zenon_intro zenon_H18b ].
% 49.27/49.50 apply (zenon_L140_); trivial.
% 49.27/49.50 apply (zenon_L578_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H39 ].
% 49.27/49.50 apply (zenon_L7_); trivial.
% 49.27/49.50 apply (zenon_L8_); trivial.
% 49.27/49.50 (* end of lemma zenon_L582_ *)
% 49.27/49.50 assert (zenon_L583_ : (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> ((op1 (e13) (e13)) = (e13)) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e12)) -> False).
% 49.27/49.50 do 0 intro. intros zenon_H9e zenon_H8c zenon_H12c zenon_He7 zenon_H13a zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_H117 zenon_H9b.
% 49.27/49.50 apply (zenon_or_s _ _ ax10); [ zenon_intro zenon_H9d | zenon_intro zenon_Hd4 ].
% 49.27/49.50 apply (zenon_L33_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Had | zenon_intro zenon_Hd5 ].
% 49.27/49.50 apply (zenon_L83_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hc6 ].
% 49.27/49.50 apply (zenon_L37_); trivial.
% 49.27/49.50 apply (zenon_L76_); trivial.
% 49.27/49.50 (* end of lemma zenon_L583_ *)
% 49.27/49.50 assert (zenon_L584_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e13)) = (e13)) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e12)) -> False).
% 49.27/49.50 do 0 intro. intros zenon_H38e zenon_H8b zenon_H12b zenon_Hc7 zenon_H20 zenon_H2c zenon_Hfa zenon_Hea zenon_H37f zenon_H387 zenon_H9e zenon_H12c zenon_He7 zenon_H13a zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_H117 zenon_H9b.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H38e); [ zenon_intro zenon_H177 | zenon_intro zenon_H38f ].
% 49.27/49.50 apply (zenon_L120_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H38f); [ zenon_intro zenon_He6 | zenon_intro zenon_H390 ].
% 49.27/49.50 apply (zenon_L84_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H110 | zenon_intro zenon_H8c ].
% 49.27/49.50 apply (zenon_L560_); trivial.
% 49.27/49.50 apply (zenon_L583_); trivial.
% 49.27/49.50 (* end of lemma zenon_L584_ *)
% 49.27/49.50 assert (zenon_L585_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((e10) = (e13))) -> ((op1 (e13) (e11)) = (e10)) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e12)) -> False).
% 49.27/49.50 do 0 intro. intros zenon_H135 zenon_H3a zenon_H2d zenon_H18b zenon_H57 zenon_H11d zenon_H38e zenon_H8b zenon_H12b zenon_Hc7 zenon_H20 zenon_H2c zenon_Hfa zenon_Hea zenon_H37f zenon_H387 zenon_H9e zenon_He7 zenon_H13a zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_H117 zenon_H9b.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H39 | zenon_intro zenon_H136 ].
% 49.27/49.50 apply (zenon_L8_); trivial.
% 49.27/49.50 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hdc | zenon_intro zenon_H137 ].
% 49.27/49.51 apply (zenon_L504_); trivial.
% 49.27/49.51 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Haf | zenon_intro zenon_H12c ].
% 49.27/49.51 apply (zenon_L67_); trivial.
% 49.27/49.51 apply (zenon_L584_); trivial.
% 49.27/49.51 (* end of lemma zenon_L585_ *)
% 49.27/49.51 assert (zenon_L586_ : (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e11)) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((e10) = (e13))) -> ((op1 (e13) (e11)) = (e10)) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> False).
% 49.27/49.51 do 0 intro. intros zenon_H10b zenon_H111 zenon_H99 zenon_H64 zenon_H11e zenon_H63 zenon_H135 zenon_H3a zenon_H2d zenon_H18b zenon_H57 zenon_H11d zenon_H38e zenon_H8b zenon_H12b zenon_Hc7 zenon_H20 zenon_H2c zenon_Hfa zenon_Hea zenon_H37f zenon_H387 zenon_H9e zenon_He7 zenon_H13a zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_H117.
% 49.27/49.51 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_He4 | zenon_intro zenon_H10c ].
% 49.27/49.51 apply (zenon_L69_); trivial.
% 49.27/49.51 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H9a | zenon_intro zenon_H10d ].
% 49.27/49.51 apply (zenon_L68_); trivial.
% 49.27/49.51 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H101 | zenon_intro zenon_H9b ].
% 49.27/49.51 apply (zenon_L57_); trivial.
% 49.27/49.51 apply (zenon_L585_); trivial.
% 49.27/49.51 (* end of lemma zenon_L586_ *)
% 49.27/49.51 assert (zenon_L587_ : (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e10)) -> ((op1 (e13) (e13)) = (e10)) -> False).
% 49.27/49.51 do 0 intro. intros zenon_H9e zenon_H177 zenon_H35a.
% 49.27/49.51 cut (((op1 (e10) (e13)) = (e10)) = ((op1 (e10) (e13)) = (op1 (e13) (e13)))).
% 49.27/49.51 intro zenon_D_pnotp.
% 49.27/49.51 apply zenon_H9e.
% 49.27/49.51 rewrite <- zenon_D_pnotp.
% 49.27/49.51 exact zenon_H177.
% 49.27/49.51 cut (((e10) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H35b].
% 49.27/49.51 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H8f].
% 49.27/49.51 congruence.
% 49.27/49.51 apply zenon_H8f. apply refl_equal.
% 49.27/49.51 apply zenon_H35b. apply sym_equal. exact zenon_H35a.
% 49.27/49.51 (* end of lemma zenon_L587_ *)
% 49.27/49.51 assert (zenon_L588_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e13) (e13)) = (e11)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e11)) = (e13)) -> ((op1 (e13) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (e11)) = (e10)) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e13)) = (e13)) -> False).
% 49.27/49.51 do 0 intro. intros zenon_H38e zenon_Hf3 zenon_H9e zenon_Hdc zenon_H35a zenon_H180 zenon_H24 zenon_H1f zenon_Hea zenon_H33 zenon_H60 zenon_H353 zenon_H57 zenon_H11d zenon_Hfa zenon_Hfb.
% 49.27/49.51 apply (zenon_or_s _ _ zenon_H38e); [ zenon_intro zenon_H177 | zenon_intro zenon_H38f ].
% 49.27/49.51 apply (zenon_L587_); trivial.
% 49.27/49.51 apply (zenon_or_s _ _ zenon_H38f); [ zenon_intro zenon_He6 | zenon_intro zenon_H390 ].
% 49.27/49.51 apply (zenon_L71_); trivial.
% 49.27/49.51 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H110 | zenon_intro zenon_H8c ].
% 49.27/49.51 apply (zenon_L562_); trivial.
% 49.27/49.51 apply (zenon_L54_); trivial.
% 49.27/49.51 (* end of lemma zenon_L588_ *)
% 49.27/49.51 assert (zenon_L589_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((e10) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((op1 (e13) (e11)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (e11)) = (e10)) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> False).
% 49.27/49.51 do 0 intro. intros zenon_H35d zenon_H377 zenon_H18 zenon_H2d zenon_H117 zenon_H151 zenon_H111 zenon_H146 zenon_Hdc zenon_H180 zenon_H33 zenon_H60 zenon_H353 zenon_H57 zenon_H11d zenon_H387 zenon_H37f zenon_Hea zenon_H110 zenon_Hfa zenon_H24 zenon_H2c zenon_H20 zenon_H1f zenon_Hc7.
% 49.27/49.51 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_H91 | zenon_intro zenon_H35e ].
% 49.27/49.51 apply (zenon_L552_); trivial.
% 49.27/49.51 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H18b | zenon_intro zenon_H35f ].
% 49.27/49.51 apply (zenon_L504_); trivial.
% 49.27/49.51 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H116 | zenon_intro zenon_H35a ].
% 49.27/49.51 apply (zenon_L65_); trivial.
% 49.27/49.51 apply (zenon_L563_); trivial.
% 49.27/49.51 (* end of lemma zenon_L589_ *)
% 49.27/49.51 assert (zenon_L590_ : ((op1 (e13) (e13)) = (e10)) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e13) (e12)) = (e12)) -> ((op1 (e12) (e11)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e13)) = (e11)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e10)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e11) (e11)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e11)) = (e13)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((e10) = (e13))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> False).
% 49.27/49.51 do 0 intro. intros zenon_H35a zenon_H38e zenon_H9b zenon_Hbe zenon_H6c zenon_H13a zenon_Hf3 zenon_H9e zenon_Hc7 zenon_H2c zenon_H24 zenon_H11d zenon_H57 zenon_H353 zenon_H60 zenon_H33 zenon_H180 zenon_Hdc zenon_H146 zenon_H111 zenon_H151 zenon_H117 zenon_H2d zenon_H18 zenon_H377 zenon_H35d zenon_H387 zenon_H37f zenon_Hea zenon_H1f zenon_H20 zenon_Hde zenon_H185 zenon_Hfa.
% 49.27/49.51 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H8c | zenon_intro zenon_H152 ].
% 49.27/49.51 apply (zenon_L569_); trivial.
% 49.27/49.51 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H145 | zenon_intro zenon_H153 ].
% 49.27/49.51 apply (zenon_L93_); trivial.
% 49.27/49.51 apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_Hfb | zenon_intro zenon_H12c ].
% 49.27/49.51 apply (zenon_L588_); trivial.
% 49.27/49.51 apply (zenon_or_s _ _ zenon_H38e); [ zenon_intro zenon_H177 | zenon_intro zenon_H38f ].
% 49.27/49.51 apply (zenon_L135_); trivial.
% 49.27/49.51 apply (zenon_or_s _ _ zenon_H38f); [ zenon_intro zenon_He6 | zenon_intro zenon_H390 ].
% 49.27/49.51 apply (zenon_L71_); trivial.
% 49.27/49.51 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H110 | zenon_intro zenon_H8c ].
% 49.27/49.51 apply (zenon_L589_); trivial.
% 49.27/49.51 apply (zenon_L569_); trivial.
% 49.27/49.51 (* end of lemma zenon_L590_ *)
% 49.27/49.51 assert (zenon_L591_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((e10) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (e11)) = (e10)) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e13)) = (e11)) -> ((op1 (e13) (e13)) = (e10)) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e12)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e11)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e10)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> False).
% 49.27/49.51 do 0 intro. intros zenon_H135 zenon_H3a zenon_H35d zenon_H377 zenon_H18 zenon_H2d zenon_H151 zenon_H111 zenon_H146 zenon_H180 zenon_H33 zenon_H60 zenon_H353 zenon_H9e zenon_Hf3 zenon_H35a zenon_H38e zenon_H13a zenon_H9b zenon_H117 zenon_Hbe zenon_H6c zenon_H57 zenon_H11d zenon_H12b zenon_Hc7 zenon_H2c zenon_H24 zenon_H387 zenon_H37f zenon_Hea zenon_H1f zenon_H20 zenon_Hde zenon_H185 zenon_Hfa.
% 49.27/49.51 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H39 | zenon_intro zenon_H136 ].
% 49.27/49.51 apply (zenon_L8_); trivial.
% 49.27/49.51 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hdc | zenon_intro zenon_H137 ].
% 49.27/49.51 apply (zenon_L590_); trivial.
% 49.27/49.51 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Haf | zenon_intro zenon_H12c ].
% 49.27/49.51 apply (zenon_L67_); trivial.
% 49.27/49.51 apply (zenon_or_s _ _ zenon_H38e); [ zenon_intro zenon_H177 | zenon_intro zenon_H38f ].
% 49.27/49.51 apply (zenon_L135_); trivial.
% 49.27/49.51 apply (zenon_or_s _ _ zenon_H38f); [ zenon_intro zenon_He6 | zenon_intro zenon_H390 ].
% 49.27/49.51 apply (zenon_L77_); trivial.
% 49.27/49.51 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H110 | zenon_intro zenon_H8c ].
% 49.27/49.51 apply (zenon_L560_); trivial.
% 49.27/49.51 apply (zenon_L569_); trivial.
% 49.27/49.51 (* end of lemma zenon_L591_ *)
% 49.27/49.51 assert (zenon_L592_ : (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e10) (e10)) = (e12)) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (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) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((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 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((e10) = (e11))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((e11) = (e12))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((e10) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (e11)) = (e10)) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e13)) = (e10)) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e12)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e11)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e10)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> False).
% 49.27/49.51 do 0 intro. intros zenon_Hf7 zenon_H19 zenon_H160 zenon_H72 zenon_H10b zenon_H40 zenon_H23 zenon_H82 zenon_H108 zenon_H187 zenon_H16c zenon_H18d zenon_H8b zenon_Hd9 zenon_H362 zenon_Hae zenon_H18e zenon_H190 zenon_H15f zenon_H161 zenon_H113 zenon_H155 zenon_H58 zenon_H99 zenon_H11e zenon_H13f zenon_Hd6 zenon_H368 zenon_H76 zenon_H36b zenon_H142 zenon_H7b zenon_H4f zenon_H122 zenon_H126 zenon_H360 zenon_He0 zenon_H154 zenon_H63 zenon_Hfd zenon_H15a zenon_H96 zenon_H135 zenon_H3a zenon_H35d zenon_H377 zenon_H18 zenon_H2d zenon_H151 zenon_H111 zenon_H146 zenon_H180 zenon_H33 zenon_H60 zenon_H353 zenon_H9e zenon_H35a zenon_H38e zenon_H13a zenon_H9b zenon_H117 zenon_Hbe zenon_H6c zenon_H57 zenon_H11d zenon_H12b zenon_Hc7 zenon_H2c zenon_H24 zenon_H387 zenon_H37f zenon_Hea zenon_H1f zenon_H20 zenon_Hde zenon_H185 zenon_Hfa.
% 49.27/49.51 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He6 | zenon_intro zenon_Hf8 ].
% 49.27/49.51 apply (zenon_L542_); trivial.
% 49.27/49.51 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Hab | zenon_intro zenon_Hf9 ].
% 49.27/49.51 apply (zenon_L43_); trivial.
% 49.27/49.51 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_He9 | zenon_intro zenon_Hf3 ].
% 49.27/49.51 apply (zenon_L48_); trivial.
% 49.27/49.51 apply (zenon_L591_); trivial.
% 49.27/49.51 (* end of lemma zenon_L592_ *)
% 49.27/49.51 assert (zenon_L593_ : (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((op1 (e10) (e11)) = (e11)) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> ((op1 (e11) (e12)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e10) (e10)) = (e12)) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (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) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((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 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((e10) = (e11))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((e11) = (e12))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((e10) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (e11)) = (e10)) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e11)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e10)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> False).
% 49.27/49.51 do 0 intro. intros zenon_H36e zenon_H173 zenon_H371 zenon_H37b zenon_H4e zenon_H182 zenon_H365 zenon_H15e zenon_H67 zenon_H4a zenon_H16b zenon_H43 zenon_H16a zenon_H64 zenon_H178 zenon_H391 zenon_Hf7 zenon_H19 zenon_H160 zenon_H72 zenon_H10b zenon_H40 zenon_H23 zenon_H82 zenon_H108 zenon_H187 zenon_H16c zenon_H18d zenon_H8b zenon_Hd9 zenon_H362 zenon_Hae zenon_H18e zenon_H190 zenon_H15f zenon_H161 zenon_H113 zenon_H155 zenon_H58 zenon_H99 zenon_H11e zenon_H13f zenon_Hd6 zenon_H368 zenon_H76 zenon_H36b zenon_H142 zenon_H7b zenon_H4f zenon_H122 zenon_H126 zenon_H360 zenon_He0 zenon_H154 zenon_H63 zenon_Hfd zenon_H15a zenon_H96 zenon_H135 zenon_H3a zenon_H35d zenon_H377 zenon_H18 zenon_H2d zenon_H151 zenon_H111 zenon_H146 zenon_H180 zenon_H33 zenon_H60 zenon_H353 zenon_H9e zenon_H38e zenon_H13a zenon_H117 zenon_Hbe zenon_H6c zenon_H57 zenon_H11d zenon_H12b zenon_Hc7 zenon_H2c zenon_H24 zenon_H387 zenon_H37f zenon_Hea zenon_H1f zenon_H20 zenon_Hde zenon_H185 zenon_Hfa.
% 49.27/49.51 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_He4 | zenon_intro zenon_H10c ].
% 49.27/49.51 apply (zenon_L582_); trivial.
% 49.27/49.51 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H9a | zenon_intro zenon_H10d ].
% 49.27/49.51 apply (zenon_L68_); trivial.
% 49.27/49.51 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H101 | zenon_intro zenon_H9b ].
% 49.27/49.51 apply (zenon_L57_); trivial.
% 49.27/49.51 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_H91 | zenon_intro zenon_H35e ].
% 49.27/49.51 apply (zenon_L552_); trivial.
% 49.27/49.51 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H18b | zenon_intro zenon_H35f ].
% 49.27/49.51 apply (zenon_or_s _ _ zenon_H391); [ zenon_intro zenon_H177 | zenon_intro zenon_H392 ].
% 49.27/49.51 apply (zenon_L112_); trivial.
% 49.27/49.51 apply (zenon_or_s _ _ zenon_H392); [ zenon_intro zenon_He7 | zenon_intro zenon_H393 ].
% 49.27/49.51 apply (zenon_L586_); trivial.
% 49.27/49.51 apply (zenon_or_s _ _ zenon_H393); [ zenon_intro zenon_H37e | zenon_intro zenon_H35a ].
% 49.27/49.51 apply (zenon_L557_); trivial.
% 49.27/49.51 apply (zenon_L592_); trivial.
% 49.27/49.51 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H116 | zenon_intro zenon_H35a ].
% 49.27/49.51 apply (zenon_L65_); trivial.
% 49.27/49.51 apply (zenon_L592_); trivial.
% 49.27/49.51 (* end of lemma zenon_L593_ *)
% 49.27/49.51 assert (zenon_L594_ : (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> ((op1 (e11) (e12)) = (e11)) -> (~((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 (e13) (e11)) = (e13)) -> ((op1 (e13) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (e11)) = (e10)) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e13)) = (e13)) -> False).
% 49.27/49.51 do 0 intro. intros zenon_H126 zenon_H122 zenon_H20 zenon_H58 zenon_H64 zenon_H99 zenon_H38e zenon_H9e zenon_Hdc zenon_H35a zenon_H180 zenon_H24 zenon_H1f zenon_Hea zenon_H33 zenon_H60 zenon_H353 zenon_H57 zenon_H11d zenon_Hfa zenon_Hfb.
% 49.27/49.51 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H121 | zenon_intro zenon_H127 ].
% 49.27/49.51 apply (zenon_L70_); trivial.
% 49.27/49.51 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H94 | zenon_intro zenon_H128 ].
% 49.27/49.51 apply (zenon_L42_); trivial.
% 49.27/49.51 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H11b | zenon_intro zenon_Hf3 ].
% 49.27/49.51 apply (zenon_L66_); trivial.
% 49.27/49.51 apply (zenon_L588_); trivial.
% 49.27/49.51 (* end of lemma zenon_L594_ *)
% 49.27/49.51 assert (zenon_L595_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((e10) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e11) (e11)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e11)) = (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 (e11) (e12)) = (e11)) -> (~((e11) = (e13))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e12) (e12)) = (e13)) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> False).
% 49.27/49.51 do 0 intro. intros zenon_H35d zenon_H377 zenon_H18 zenon_H2d zenon_H117 zenon_H151 zenon_H185 zenon_Hde zenon_H37f zenon_H387 zenon_H146 zenon_Hfa zenon_H11d zenon_H57 zenon_H353 zenon_H60 zenon_H33 zenon_Hea zenon_H1f zenon_H180 zenon_Hdc zenon_H9e zenon_H38e zenon_H99 zenon_H64 zenon_H58 zenon_H122 zenon_H126 zenon_H24 zenon_H89 zenon_H20 zenon_H15a.
% 49.27/49.51 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_H91 | zenon_intro zenon_H35e ].
% 49.27/49.51 apply (zenon_L552_); trivial.
% 49.27/49.51 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H18b | zenon_intro zenon_H35f ].
% 49.27/49.51 apply (zenon_L504_); trivial.
% 49.27/49.51 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H116 | zenon_intro zenon_H35a ].
% 49.27/49.51 apply (zenon_L65_); trivial.
% 49.27/49.51 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H8c | zenon_intro zenon_H152 ].
% 49.27/49.51 apply (zenon_L569_); trivial.
% 49.27/49.51 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H145 | zenon_intro zenon_H153 ].
% 49.27/49.51 apply (zenon_L93_); trivial.
% 49.27/49.51 apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_Hfb | zenon_intro zenon_H12c ].
% 49.27/49.51 apply (zenon_L594_); trivial.
% 49.27/49.51 apply (zenon_L104_); trivial.
% 49.27/49.51 (* end of lemma zenon_L595_ *)
% 49.27/49.51 assert (zenon_L596_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((e10) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> ((op1 (e11) (e12)) = (e11)) -> (~((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 (e13) (e11)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (e11)) = (e10)) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e13)) = (e13)) -> False).
% 49.27/49.51 do 0 intro. intros zenon_H35d zenon_H377 zenon_H18 zenon_H2d zenon_H117 zenon_H126 zenon_H122 zenon_H20 zenon_H58 zenon_H64 zenon_H99 zenon_H38e zenon_H9e zenon_Hdc zenon_H180 zenon_H24 zenon_H1f zenon_Hea zenon_H33 zenon_H60 zenon_H353 zenon_H57 zenon_H11d zenon_Hfa zenon_Hfb.
% 49.27/49.51 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_H91 | zenon_intro zenon_H35e ].
% 49.27/49.51 apply (zenon_L552_); trivial.
% 49.27/49.51 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H18b | zenon_intro zenon_H35f ].
% 49.27/49.51 apply (zenon_L504_); trivial.
% 49.27/49.51 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H116 | zenon_intro zenon_H35a ].
% 49.27/49.51 apply (zenon_L65_); trivial.
% 49.27/49.51 apply (zenon_L594_); trivial.
% 49.27/49.51 (* end of lemma zenon_L596_ *)
% 49.27/49.51 assert (zenon_L597_ : (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((e12) = (e13))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e13) (e12)) = (e12)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((e10) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> ((op1 (e11) (e12)) = (e11)) -> (~((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 (e13) (e11)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (e11)) = (e10)) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> False).
% 49.27/49.51 do 0 intro. intros zenon_Hfd zenon_H111 zenon_H2c zenon_Hc7 zenon_H13a zenon_H6c zenon_H9b zenon_H15a zenon_H146 zenon_H387 zenon_H37f zenon_Hde zenon_H185 zenon_H151 zenon_H35d zenon_H377 zenon_H18 zenon_H2d zenon_H117 zenon_H126 zenon_H122 zenon_H20 zenon_H58 zenon_H64 zenon_H99 zenon_H38e zenon_H9e zenon_Hdc zenon_H180 zenon_H24 zenon_H1f zenon_Hea zenon_H33 zenon_H60 zenon_H353 zenon_H57 zenon_H11d zenon_Hfa.
% 49.27/49.51 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hfe ].
% 49.27/49.51 apply (zenon_L7_); trivial.
% 49.27/49.51 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hff ].
% 49.27/49.51 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_H91 | zenon_intro zenon_H35e ].
% 49.27/49.51 apply (zenon_L552_); trivial.
% 49.27/49.51 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H18b | zenon_intro zenon_H35f ].
% 49.27/49.51 apply (zenon_L504_); trivial.
% 49.27/49.51 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H116 | zenon_intro zenon_H35a ].
% 49.27/49.51 apply (zenon_L65_); trivial.
% 49.27/49.51 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H121 | zenon_intro zenon_H127 ].
% 49.27/49.51 apply (zenon_L70_); trivial.
% 49.27/49.51 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H94 | zenon_intro zenon_H128 ].
% 49.27/49.51 apply (zenon_L42_); trivial.
% 49.27/49.51 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H11b | zenon_intro zenon_Hf3 ].
% 49.27/49.51 apply (zenon_L66_); trivial.
% 49.27/49.51 apply (zenon_L590_); trivial.
% 49.27/49.51 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H89 | zenon_intro zenon_Hfb ].
% 49.27/49.51 apply (zenon_L595_); trivial.
% 49.27/49.51 apply (zenon_L596_); trivial.
% 49.27/49.51 (* end of lemma zenon_L597_ *)
% 49.27/49.51 assert (zenon_L598_ : (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e12))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> ((op1 (e11) (e11)) = (e10)) -> ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e11) (e13)) = (e10)) -> (~((e10) = (e11))) -> False).
% 49.27/49.51 do 0 intro. intros zenon_H15f zenon_H20 zenon_H33 zenon_H76 zenon_H11e zenon_H117 zenon_H1f zenon_H99 zenon_H11d zenon_H57 zenon_H60 zenon_H92 zenon_H3a zenon_H160 zenon_He7 zenon_H4f.
% 49.27/49.51 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H5b | zenon_intro zenon_H165 ].
% 49.27/49.51 apply (zenon_L18_); trivial.
% 49.27/49.51 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H61 | zenon_intro zenon_H166 ].
% 49.27/49.51 apply (zenon_L19_); trivial.
% 49.27/49.51 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H64 | zenon_intro zenon_Hab ].
% 49.27/49.51 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H73 | zenon_intro zenon_H167 ].
% 49.27/49.51 apply (zenon_L553_); trivial.
% 49.27/49.51 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H75 | zenon_intro zenon_H168 ].
% 49.27/49.51 apply (zenon_L24_); trivial.
% 49.27/49.51 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H9a | zenon_intro zenon_Hde ].
% 49.27/49.51 apply (zenon_L68_); trivial.
% 49.27/49.51 apply (zenon_L505_); trivial.
% 49.27/49.51 apply (zenon_L47_); trivial.
% 49.27/49.51 (* end of lemma zenon_L598_ *)
% 49.27/49.51 assert (zenon_L599_ : (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((op1 (e10) (e11)) = (e11)) -> (~((e10) = (e11))) -> ((op1 (e11) (e13)) = (e10)) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((e10) = (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) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((e10) = (e13))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> False).
% 49.27/49.51 do 0 intro. intros zenon_H190 zenon_H4e zenon_H4f zenon_He7 zenon_H160 zenon_H92 zenon_H99 zenon_H117 zenon_H11e zenon_H76 zenon_H33 zenon_H15f zenon_H187 zenon_H135 zenon_H3a zenon_H2d zenon_H57 zenon_H11d zenon_H387 zenon_H37f zenon_Hea zenon_H110 zenon_Hfa zenon_H24 zenon_H2c zenon_H20 zenon_H1f zenon_Hc7.
% 49.27/49.51 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H17 | zenon_intro zenon_H191 ].
% 49.27/49.51 apply (zenon_L14_); trivial.
% 49.27/49.51 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H60 | zenon_intro zenon_H192 ].
% 49.27/49.51 apply (zenon_L598_); trivial.
% 49.27/49.51 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H188 | zenon_intro zenon_H18b ].
% 49.27/49.51 apply (zenon_L140_); trivial.
% 49.27/49.51 apply (zenon_L561_); trivial.
% 49.27/49.51 (* end of lemma zenon_L599_ *)
% 49.27/49.51 assert (zenon_L600_ : (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> ((op1 (e13) (e13)) = (e13)) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e12)) = (e11)) -> ((op1 (e12) (e13)) = (e12)) -> False).
% 49.27/49.51 do 0 intro. intros zenon_H9e zenon_H8c zenon_H12c zenon_He7 zenon_H13a zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_H368 zenon_H11b zenon_H369.
% 49.27/49.51 apply (zenon_or_s _ _ ax10); [ zenon_intro zenon_H9d | zenon_intro zenon_Hd4 ].
% 49.27/49.51 apply (zenon_L33_); trivial.
% 49.27/49.51 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Had | zenon_intro zenon_Hd5 ].
% 49.27/49.51 apply (zenon_L83_); trivial.
% 49.27/49.51 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hc6 ].
% 49.27/49.51 apply (zenon_L37_); trivial.
% 49.27/49.51 apply (zenon_L509_); trivial.
% 49.27/49.51 (* end of lemma zenon_L600_ *)
% 49.27/49.51 assert (zenon_L601_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e11))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (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) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e13)) = (e13)) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e12)) = (e11)) -> ((op1 (e12) (e13)) = (e12)) -> False).
% 49.27/49.51 do 0 intro. intros zenon_H38e zenon_H4f zenon_H113 zenon_H23 zenon_H180 zenon_H187 zenon_H15f zenon_H16c zenon_H67 zenon_Hfd zenon_H33 zenon_H18d zenon_H15a zenon_H146 zenon_H151 zenon_Hd9 zenon_H185 zenon_H108 zenon_He0 zenon_H63 zenon_Hae zenon_H18e zenon_H99 zenon_H96 zenon_H76 zenon_Hd6 zenon_H82 zenon_H17a zenon_H190 zenon_H58 zenon_H2d zenon_H15e zenon_H117 zenon_H11d zenon_H135 zenon_H3a zenon_H11e zenon_H142 zenon_H10b zenon_H7b zenon_H154 zenon_H8b zenon_H182 zenon_H160 zenon_H111 zenon_H4a zenon_H16b zenon_H43 zenon_H40 zenon_H178 zenon_H16a zenon_H12b zenon_Hc7 zenon_H20 zenon_H2c zenon_Hfa zenon_Hea zenon_H37f zenon_H387 zenon_H9e zenon_H12c zenon_He7 zenon_H13a zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_H368 zenon_H11b zenon_H369.
% 49.27/49.51 apply (zenon_or_s _ _ zenon_H38e); [ zenon_intro zenon_H177 | zenon_intro zenon_H38f ].
% 49.27/49.51 apply (zenon_L153_); trivial.
% 49.27/49.51 apply (zenon_or_s _ _ zenon_H38f); [ zenon_intro zenon_He6 | zenon_intro zenon_H390 ].
% 49.27/49.51 apply (zenon_L530_); trivial.
% 49.27/49.51 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H110 | zenon_intro zenon_H8c ].
% 49.27/49.51 apply (zenon_L560_); trivial.
% 49.27/49.51 apply (zenon_L600_); trivial.
% 49.27/49.51 (* end of lemma zenon_L601_ *)
% 49.27/49.51 assert (zenon_L602_ : ((op1 (e13) (e11)) = (e10)) -> ((op1 (e10) (e12)) = (e13)) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e11))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (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) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e12)) = (e11)) -> ((op1 (e12) (e13)) = (e12)) -> False).
% 49.27/49.51 do 0 intro. intros zenon_H18b zenon_H57 zenon_H38e zenon_H4f zenon_H113 zenon_H23 zenon_H180 zenon_H187 zenon_H15f zenon_H16c zenon_H67 zenon_Hfd zenon_H33 zenon_H18d zenon_H15a zenon_H146 zenon_H151 zenon_Hd9 zenon_H185 zenon_H108 zenon_He0 zenon_H63 zenon_Hae zenon_H18e zenon_H99 zenon_H96 zenon_H76 zenon_Hd6 zenon_H82 zenon_H17a zenon_H190 zenon_H58 zenon_H2d zenon_H15e zenon_H117 zenon_H11d zenon_H135 zenon_H3a zenon_H11e zenon_H142 zenon_H10b zenon_H7b zenon_H154 zenon_H8b zenon_H182 zenon_H160 zenon_H111 zenon_H4a zenon_H16b zenon_H43 zenon_H40 zenon_H178 zenon_H16a zenon_H12b zenon_Hc7 zenon_H20 zenon_H2c zenon_Hfa zenon_Hea zenon_H37f zenon_H387 zenon_H9e zenon_He7 zenon_H13a zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_H368 zenon_H11b zenon_H369.
% 49.27/49.51 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H39 | zenon_intro zenon_H136 ].
% 49.27/49.51 apply (zenon_L8_); trivial.
% 49.27/49.51 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hdc | zenon_intro zenon_H137 ].
% 49.27/49.51 apply (zenon_L504_); trivial.
% 49.27/49.51 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Haf | zenon_intro zenon_H12c ].
% 49.27/49.51 apply (zenon_L67_); trivial.
% 49.27/49.51 apply (zenon_L601_); trivial.
% 49.27/49.51 (* end of lemma zenon_L602_ *)
% 49.27/49.51 assert (zenon_L603_ : (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e10)) = (e12)) -> ((op1 (e13) (e11)) = (e12)) -> False).
% 49.27/49.51 do 0 intro. intros zenon_H180 zenon_H92 zenon_H95.
% 49.27/49.51 cut (((op1 (e13) (e10)) = (e12)) = ((op1 (e13) (e10)) = (op1 (e13) (e11)))).
% 49.27/49.51 intro zenon_D_pnotp.
% 49.27/49.51 apply zenon_H180.
% 49.27/49.51 rewrite <- zenon_D_pnotp.
% 49.27/49.51 exact zenon_H92.
% 49.27/49.51 cut (((e12) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H143].
% 49.27/49.51 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H3c].
% 49.27/49.51 congruence.
% 49.27/49.51 apply zenon_H3c. apply refl_equal.
% 49.27/49.51 apply zenon_H143. apply sym_equal. exact zenon_H95.
% 49.27/49.51 (* end of lemma zenon_L603_ *)
% 49.27/49.51 assert (zenon_L604_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e13) (e11)) = (e12)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False).
% 49.27/49.51 do 0 intro. intros zenon_H365 zenon_H377 zenon_H18 zenon_H122 zenon_H95 zenon_H180 zenon_H24 zenon_H1f zenon_H20 zenon_H3a.
% 49.27/49.51 apply (zenon_or_s _ _ zenon_H365); [ zenon_intro zenon_H91 | zenon_intro zenon_H366 ].
% 49.27/49.51 apply (zenon_L552_); trivial.
% 49.27/49.51 apply (zenon_or_s _ _ zenon_H366); [ zenon_intro zenon_H121 | zenon_intro zenon_H367 ].
% 49.27/49.51 apply (zenon_L70_); trivial.
% 49.27/49.51 apply (zenon_or_s _ _ zenon_H367); [ zenon_intro zenon_H92 | zenon_intro zenon_H39 ].
% 49.27/49.51 apply (zenon_L603_); trivial.
% 49.27/49.51 apply (zenon_L8_); trivial.
% 49.27/49.51 (* end of lemma zenon_L604_ *)
% 49.27/49.51 assert (zenon_L605_ : (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((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) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (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 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> ((op1 (e13) (e11)) = (e10)) -> (~((e10) = (e13))) -> False).
% 49.27/49.51 do 0 intro. intros zenon_H3a zenon_H20 zenon_H1f zenon_H24 zenon_H13a zenon_H122 zenon_H180 zenon_H365 zenon_H135 zenon_H57 zenon_H11d zenon_H38e zenon_H8b zenon_H12b zenon_Hc7 zenon_H2c zenon_Hfa zenon_Hea zenon_H37f zenon_H387 zenon_H9e zenon_He7 zenon_H6c zenon_H117 zenon_H377 zenon_H18 zenon_H36b zenon_H4e zenon_H368 zenon_H16a zenon_H178 zenon_H40 zenon_H43 zenon_H16b zenon_H4a zenon_H111 zenon_H160 zenon_H182 zenon_H154 zenon_H7b zenon_H10b zenon_H142 zenon_H11e zenon_H15e zenon_H58 zenon_H190 zenon_H17a zenon_H82 zenon_Hd6 zenon_H76 zenon_H96 zenon_H99 zenon_H18e zenon_Hae zenon_H63 zenon_He0 zenon_H108 zenon_H185 zenon_Hd9 zenon_H151 zenon_H146 zenon_H15a zenon_H18d zenon_H33 zenon_Hfd zenon_H67 zenon_H16c zenon_H15f zenon_H187 zenon_H23 zenon_H113 zenon_H4f zenon_H13f zenon_H155 zenon_H18b zenon_H2d.
% 49.27/49.51 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ].
% 49.27/49.51 apply (zenon_L113_); trivial.
% 49.27/49.51 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ].
% 49.27/49.51 apply (zenon_L25_); trivial.
% 49.27/49.51 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ].
% 49.27/49.51 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H56 | zenon_intro zenon_H158 ].
% 49.27/49.51 apply (zenon_L17_); trivial.
% 49.27/49.51 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H64 | zenon_intro zenon_H159 ].
% 49.27/49.51 apply (zenon_L586_); trivial.
% 49.27/49.51 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H13d | zenon_intro zenon_H11b ].
% 49.27/49.51 apply (zenon_L88_); trivial.
% 49.27/49.51 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H92 | zenon_intro zenon_Hd7 ].
% 49.27/49.51 apply (zenon_or_s _ _ zenon_H36b); [ zenon_intro zenon_H110 | zenon_intro zenon_H36c ].
% 49.27/49.51 apply (zenon_L599_); trivial.
% 49.27/49.51 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_Hde | zenon_intro zenon_H36d ].
% 49.27/49.51 apply (zenon_L505_); trivial.
% 49.27/49.51 apply (zenon_or_s _ _ zenon_H36d); [ zenon_intro zenon_H369 | zenon_intro zenon_Hc8 ].
% 49.27/49.51 apply (zenon_L602_); trivial.
% 49.27/49.51 apply (zenon_L571_); trivial.
% 49.27/49.51 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H95 | zenon_intro zenon_Hd8 ].
% 49.27/49.51 apply (zenon_L604_); trivial.
% 49.27/49.51 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hc8 ].
% 49.27/49.51 apply (zenon_L585_); trivial.
% 49.27/49.51 apply (zenon_L508_); trivial.
% 49.27/49.51 apply (zenon_L504_); trivial.
% 49.27/49.51 (* end of lemma zenon_L605_ *)
% 49.27/49.51 assert (zenon_L606_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e12) (e10)) = (e11)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((op1 (e10) (e11)) = (e11)) -> (~((e10) = (e11))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((e10) = (e12))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> ((op1 (e10) (e13)) = (e12)) -> (~((e12) = (e13))) -> False).
% 49.38/49.52 do 0 intro. intros zenon_H113 zenon_H58 zenon_H3a zenon_H20 zenon_H1f zenon_H24 zenon_H33 zenon_H161 zenon_H151 zenon_H146 zenon_H180 zenon_H353 zenon_H35d zenon_He0 zenon_H190 zenon_H4e zenon_H4f zenon_H160 zenon_H92 zenon_H99 zenon_H117 zenon_H11e zenon_H76 zenon_H15f zenon_H187 zenon_H135 zenon_H2d zenon_H11d zenon_H387 zenon_H37f zenon_Hea zenon_Hfa zenon_Hc7 zenon_H23 zenon_H40 zenon_H110 zenon_H111.
% 49.38/49.52 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H25 | zenon_intro zenon_H114 ].
% 49.38/49.52 apply (zenon_L4_); trivial.
% 49.38/49.52 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H54 | zenon_intro zenon_H115 ].
% 49.38/49.52 apply (zenon_L113_); trivial.
% 49.38/49.52 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H57 | zenon_intro zenon_H8c ].
% 49.38/49.52 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H25 | zenon_intro zenon_H41 ].
% 49.38/49.52 apply (zenon_L4_); trivial.
% 49.38/49.52 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H2c | zenon_intro zenon_H42 ].
% 49.38/49.52 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H2b | zenon_intro zenon_H163 ].
% 49.38/49.52 apply (zenon_L6_); trivial.
% 49.38/49.52 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H60 | zenon_intro zenon_H164 ].
% 49.38/49.52 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_H91 | zenon_intro zenon_H35e ].
% 49.38/49.52 apply (zenon_L29_); trivial.
% 49.38/49.52 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H18b | zenon_intro zenon_H35f ].
% 49.38/49.52 apply (zenon_L561_); trivial.
% 49.38/49.52 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H116 | zenon_intro zenon_H35a ].
% 49.38/49.52 apply (zenon_L65_); trivial.
% 49.38/49.52 apply (zenon_L564_); trivial.
% 49.38/49.52 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_He1 | zenon_intro zenon_He7 ].
% 49.38/49.52 apply (zenon_L44_); trivial.
% 49.38/49.52 apply (zenon_L599_); trivial.
% 49.38/49.52 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H39 ].
% 49.38/49.52 apply (zenon_L7_); trivial.
% 49.38/49.52 apply (zenon_L8_); trivial.
% 49.38/49.52 apply (zenon_L63_); trivial.
% 49.38/49.52 (* end of lemma zenon_L606_ *)
% 49.38/49.52 assert (zenon_L607_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> ((op1 (e13) (e10)) = (e12)) -> (~((e10) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((op1 (e13) (e11)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (e11)) = (e10)) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> False).
% 49.38/49.52 do 0 intro. intros zenon_H35d zenon_H76 zenon_H92 zenon_H2d zenon_H117 zenon_H151 zenon_H111 zenon_H146 zenon_Hdc zenon_H180 zenon_H33 zenon_H60 zenon_H353 zenon_H57 zenon_H11d zenon_H387 zenon_H37f zenon_Hea zenon_H110 zenon_Hfa zenon_H24 zenon_H2c zenon_H20 zenon_H1f zenon_Hc7.
% 49.38/49.52 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_H91 | zenon_intro zenon_H35e ].
% 49.38/49.52 apply (zenon_L29_); trivial.
% 49.38/49.52 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H18b | zenon_intro zenon_H35f ].
% 49.38/49.52 apply (zenon_L504_); trivial.
% 49.38/49.52 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H116 | zenon_intro zenon_H35a ].
% 49.38/49.52 apply (zenon_L65_); trivial.
% 49.38/49.52 apply (zenon_L563_); trivial.
% 49.38/49.52 (* end of lemma zenon_L607_ *)
% 49.38/49.52 assert (zenon_L608_ : (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e12)) = (e11)) -> ((op1 (e12) (e13)) = (e12)) -> False).
% 49.38/49.52 do 0 intro. intros zenon_H9e zenon_H8c zenon_He0 zenon_H9a zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_H368 zenon_H11b zenon_H369.
% 49.38/49.52 apply (zenon_or_s _ _ ax10); [ zenon_intro zenon_H9d | zenon_intro zenon_Hd4 ].
% 49.38/49.52 apply (zenon_L33_); trivial.
% 49.38/49.52 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Had | zenon_intro zenon_Hd5 ].
% 49.38/49.52 apply (zenon_L49_); trivial.
% 49.38/49.52 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hc6 ].
% 49.38/49.52 apply (zenon_L37_); trivial.
% 49.38/49.52 apply (zenon_L509_); trivial.
% 49.38/49.52 (* end of lemma zenon_L608_ *)
% 49.38/49.52 assert (zenon_L609_ : (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e11) (e11)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e11)) = (e13)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((e10) = (e13))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e11) = (e12))) -> ((op1 (e11) (e13)) = (e11)) -> ((op1 (e13) (e12)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e12) (e11)) = (e13)) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e10)) = (e12)) -> False).
% 49.38/49.52 do 0 intro. intros zenon_H36b zenon_Hc7 zenon_H20 zenon_H2c zenon_Hfa zenon_Hea zenon_H37f zenon_H387 zenon_H11d zenon_H57 zenon_H353 zenon_H60 zenon_H33 zenon_H180 zenon_Hdc zenon_H146 zenon_H111 zenon_H151 zenon_H117 zenon_H2d zenon_H76 zenon_H35d zenon_H96 zenon_Hab zenon_H11b zenon_H368 zenon_H24 zenon_Hbe zenon_H1f zenon_H6c zenon_H9a zenon_He0 zenon_H8c zenon_H9e zenon_H13a zenon_H92.
% 49.38/49.52 apply (zenon_or_s _ _ zenon_H36b); [ zenon_intro zenon_H110 | zenon_intro zenon_H36c ].
% 49.38/49.52 apply (zenon_L607_); trivial.
% 49.38/49.52 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_Hde | zenon_intro zenon_H36d ].
% 49.38/49.52 apply (zenon_L43_); trivial.
% 49.38/49.52 apply (zenon_or_s _ _ zenon_H36d); [ zenon_intro zenon_H369 | zenon_intro zenon_Hc8 ].
% 49.38/49.52 apply (zenon_L608_); trivial.
% 49.38/49.52 apply (zenon_L507_); trivial.
% 49.38/49.52 (* end of lemma zenon_L609_ *)
% 49.38/49.52 assert (zenon_L610_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e13) (e13)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e10) (e10)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e11) (e11)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((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) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((e11) = (e13))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op1 (e12) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e13)) = (e13)) -> False).
% 49.38/49.52 do 0 intro. intros zenon_H38e zenon_H35a zenon_H8b zenon_H160 zenon_H72 zenon_H23 zenon_H154 zenon_Hea zenon_H35d zenon_Hc7 zenon_H96 zenon_H76 zenon_Hd6 zenon_H4f zenon_Hae zenon_H353 zenon_H60 zenon_H33 zenon_H18e zenon_H146 zenon_H151 zenon_H15a zenon_Hfd zenon_H16c zenon_H18d zenon_Hd9 zenon_H185 zenon_H82 zenon_He0 zenon_H108 zenon_H360 zenon_H155 zenon_H7b zenon_H117 zenon_H24 zenon_H1f zenon_H6c zenon_H57 zenon_H11d zenon_H12b zenon_H126 zenon_H122 zenon_H20 zenon_H99 zenon_H9e zenon_H3a zenon_H135 zenon_H63 zenon_H11e zenon_H111 zenon_H10b zenon_H58 zenon_H15f zenon_H369 zenon_Hfa zenon_Hfb.
% 49.38/49.52 apply (zenon_or_s _ _ zenon_H38e); [ zenon_intro zenon_H177 | zenon_intro zenon_H38f ].
% 49.38/49.52 apply (zenon_L587_); trivial.
% 49.38/49.52 apply (zenon_or_s _ _ zenon_H38f); [ zenon_intro zenon_He6 | zenon_intro zenon_H390 ].
% 49.38/49.52 apply (zenon_L528_); trivial.
% 49.38/49.52 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H110 | zenon_intro zenon_H8c ].
% 49.38/49.52 apply (zenon_L558_); trivial.
% 49.38/49.52 apply (zenon_L54_); trivial.
% 49.38/49.52 (* end of lemma zenon_L610_ *)
% 49.38/49.52 assert (zenon_L611_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (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) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e10) (e10)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e11) (e11)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e10)) = (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)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((e11) = (e13))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> ((op1 (e13) (e13)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e12)) = (e11)) -> ((op1 (e12) (e13)) = (e12)) -> False).
% 49.38/49.52 do 0 intro. intros zenon_H38e zenon_H113 zenon_H180 zenon_H187 zenon_H67 zenon_H17a zenon_H190 zenon_H2d zenon_H15e zenon_H13a zenon_H142 zenon_H182 zenon_H4a zenon_H16b zenon_H43 zenon_H40 zenon_H178 zenon_H16a zenon_H8b zenon_H160 zenon_H72 zenon_H23 zenon_H154 zenon_H35d zenon_H96 zenon_H76 zenon_Hd6 zenon_H4f zenon_Hae zenon_H353 zenon_H60 zenon_H33 zenon_H18e zenon_H146 zenon_H151 zenon_H15a zenon_Hfd zenon_H16c zenon_H18d zenon_Hd9 zenon_H185 zenon_H82 zenon_H108 zenon_H360 zenon_H155 zenon_H7b zenon_H117 zenon_H57 zenon_H11d zenon_H12b zenon_H126 zenon_H122 zenon_H99 zenon_H3a zenon_H135 zenon_H63 zenon_H11e zenon_H111 zenon_H10b zenon_H58 zenon_H15f zenon_Hc7 zenon_H20 zenon_H2c zenon_H12c zenon_Hfa zenon_Hea zenon_H37f zenon_H387 zenon_H9e zenon_He0 zenon_H9a zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_H368 zenon_H11b zenon_H369.
% 49.38/49.52 apply (zenon_or_s _ _ zenon_H38e); [ zenon_intro zenon_H177 | zenon_intro zenon_H38f ].
% 49.38/49.52 apply (zenon_L153_); trivial.
% 49.38/49.52 apply (zenon_or_s _ _ zenon_H38f); [ zenon_intro zenon_He6 | zenon_intro zenon_H390 ].
% 49.38/49.52 apply (zenon_L528_); trivial.
% 49.38/49.52 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H110 | zenon_intro zenon_H8c ].
% 49.38/49.52 apply (zenon_L560_); trivial.
% 49.38/49.52 apply (zenon_L608_); trivial.
% 49.38/49.52 (* end of lemma zenon_L611_ *)
% 49.38/49.52 assert (zenon_L612_ : ((op1 (e13) (e10)) = (e12)) -> ((op1 (e11) (e13)) = (e11)) -> ((op1 (e13) (e11)) = (e13)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e13) (e13)) = (e10)) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (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) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e10) (e10)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e11) (e11)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e10)) = (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)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((e11) = (e13))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e12)) = (e11)) -> ((op1 (e12) (e13)) = (e12)) -> False).
% 49.38/49.52 do 0 intro. intros zenon_H92 zenon_Hab zenon_Hdc zenon_H36b zenon_H35a zenon_H38e zenon_H113 zenon_H180 zenon_H187 zenon_H67 zenon_H17a zenon_H190 zenon_H2d zenon_H15e zenon_H13a zenon_H142 zenon_H182 zenon_H4a zenon_H16b zenon_H43 zenon_H40 zenon_H178 zenon_H16a zenon_H8b zenon_H160 zenon_H72 zenon_H23 zenon_H154 zenon_H35d zenon_H96 zenon_H76 zenon_Hd6 zenon_H4f zenon_Hae zenon_H353 zenon_H60 zenon_H33 zenon_H18e zenon_H146 zenon_H151 zenon_H15a zenon_Hfd zenon_H16c zenon_H18d zenon_Hd9 zenon_H185 zenon_H82 zenon_H108 zenon_H360 zenon_H155 zenon_H7b zenon_H117 zenon_H57 zenon_H11d zenon_H12b zenon_H126 zenon_H122 zenon_H99 zenon_H3a zenon_H135 zenon_H63 zenon_H11e zenon_H111 zenon_H10b zenon_H58 zenon_H15f zenon_Hc7 zenon_H20 zenon_H2c zenon_Hfa zenon_Hea zenon_H37f zenon_H387 zenon_H9e zenon_He0 zenon_H9a zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_H368 zenon_H11b zenon_H369.
% 49.38/49.52 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H8c | zenon_intro zenon_H152 ].
% 49.38/49.52 apply (zenon_L609_); trivial.
% 49.38/49.52 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H145 | zenon_intro zenon_H153 ].
% 49.38/49.52 apply (zenon_L93_); trivial.
% 49.38/49.52 apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_Hfb | zenon_intro zenon_H12c ].
% 49.38/49.52 apply (zenon_L610_); trivial.
% 49.38/49.52 apply (zenon_L611_); trivial.
% 49.38/49.52 (* end of lemma zenon_L612_ *)
% 49.38/49.52 assert (zenon_L613_ : ((op1 (e13) (e13)) = (e10)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e11) (e13)) = (e11)) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (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) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e10) (e10)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e11) (e11)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e10)) = (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)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((e11) = (e13))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e11)) = (e13)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e12)) = (e11)) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False).
% 49.38/49.52 do 0 intro. intros zenon_H35a zenon_H36b zenon_Hab zenon_H38e zenon_H113 zenon_H187 zenon_H67 zenon_H17a zenon_H190 zenon_H2d zenon_H15e zenon_H142 zenon_H182 zenon_H4a zenon_H16b zenon_H43 zenon_H40 zenon_H178 zenon_H16a zenon_H8b zenon_H160 zenon_H72 zenon_H23 zenon_H154 zenon_H35d zenon_H96 zenon_H76 zenon_Hd6 zenon_H4f zenon_Hae zenon_H353 zenon_H60 zenon_H33 zenon_H18e zenon_H146 zenon_H151 zenon_H15a zenon_Hfd zenon_H16c zenon_H18d zenon_Hd9 zenon_H185 zenon_H82 zenon_H108 zenon_H360 zenon_H155 zenon_H7b zenon_H117 zenon_H57 zenon_H11d zenon_H12b zenon_H126 zenon_H135 zenon_H63 zenon_H11e zenon_H111 zenon_H10b zenon_H58 zenon_H15f zenon_Hc7 zenon_H2c zenon_Hfa zenon_Hea zenon_H37f zenon_H387 zenon_H9e zenon_He0 zenon_H6c zenon_Hbe zenon_H368 zenon_H11b zenon_H161 zenon_H4e zenon_H180 zenon_H9a zenon_H99 zenon_H365 zenon_H377 zenon_H18 zenon_H122 zenon_H13a zenon_H24 zenon_H1f zenon_H20 zenon_H3a.
% 49.38/49.52 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H92 | zenon_intro zenon_Hd7 ].
% 49.38/49.52 apply (zenon_or_s _ _ zenon_H36b); [ zenon_intro zenon_H110 | zenon_intro zenon_H36c ].
% 49.38/49.52 apply (zenon_L606_); trivial.
% 49.38/49.52 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_Hde | zenon_intro zenon_H36d ].
% 49.38/49.52 apply (zenon_L43_); trivial.
% 49.38/49.52 apply (zenon_or_s _ _ zenon_H36d); [ zenon_intro zenon_H369 | zenon_intro zenon_Hc8 ].
% 49.38/49.52 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H39 | zenon_intro zenon_H136 ].
% 49.38/49.52 apply (zenon_L8_); trivial.
% 49.38/49.52 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hdc | zenon_intro zenon_H137 ].
% 49.38/49.52 apply (zenon_L612_); trivial.
% 49.38/49.52 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Haf | zenon_intro zenon_H12c ].
% 49.38/49.52 apply (zenon_L67_); trivial.
% 49.38/49.52 apply (zenon_L611_); trivial.
% 49.38/49.52 apply (zenon_L571_); trivial.
% 49.38/49.52 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H95 | zenon_intro zenon_Hd8 ].
% 49.38/49.52 apply (zenon_L604_); trivial.
% 49.38/49.52 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hc8 ].
% 49.38/49.52 apply (zenon_L31_); trivial.
% 49.38/49.52 apply (zenon_L571_); trivial.
% 49.38/49.52 (* end of lemma zenon_L613_ *)
% 49.38/49.52 assert (zenon_L614_ : (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e11) (e13)) = (e11)) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (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) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e10) (e10)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e11) (e11)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e10)) = (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)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((e11) = (e13))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e11)) = (e13)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e12)) = (e11)) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False).
% 49.38/49.52 do 0 intro. intros zenon_H13f zenon_H391 zenon_H36b zenon_Hab zenon_H38e zenon_H113 zenon_H187 zenon_H67 zenon_H17a zenon_H190 zenon_H2d zenon_H15e zenon_H142 zenon_H182 zenon_H4a zenon_H16b zenon_H43 zenon_H40 zenon_H178 zenon_H16a zenon_H8b zenon_H160 zenon_H72 zenon_H23 zenon_H154 zenon_H35d zenon_H96 zenon_H76 zenon_Hd6 zenon_H4f zenon_Hae zenon_H353 zenon_H60 zenon_H33 zenon_H18e zenon_H146 zenon_H151 zenon_H15a zenon_Hfd zenon_H16c zenon_H18d zenon_Hd9 zenon_H185 zenon_H82 zenon_H108 zenon_H360 zenon_H155 zenon_H7b zenon_H117 zenon_H57 zenon_H11d zenon_H12b zenon_H126 zenon_H135 zenon_H63 zenon_H11e zenon_H111 zenon_H10b zenon_H58 zenon_H15f zenon_Hc7 zenon_H2c zenon_Hfa zenon_Hea zenon_H37f zenon_H387 zenon_H9e zenon_He0 zenon_H6c zenon_Hbe zenon_H368 zenon_H11b zenon_H161 zenon_H4e zenon_H180 zenon_H9a zenon_H99 zenon_H365 zenon_H377 zenon_H18 zenon_H122 zenon_H13a zenon_H24 zenon_H1f zenon_H20 zenon_H3a.
% 49.38/49.52 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_H91 | zenon_intro zenon_H35e ].
% 49.38/49.52 apply (zenon_L552_); trivial.
% 49.38/49.52 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H18b | zenon_intro zenon_H35f ].
% 49.38/49.52 apply (zenon_or_s _ _ zenon_H391); [ zenon_intro zenon_H177 | zenon_intro zenon_H392 ].
% 49.38/49.52 apply (zenon_L112_); trivial.
% 49.38/49.52 apply (zenon_or_s _ _ zenon_H392); [ zenon_intro zenon_He7 | zenon_intro zenon_H393 ].
% 49.38/49.52 apply (zenon_L605_); trivial.
% 49.38/49.52 apply (zenon_or_s _ _ zenon_H393); [ zenon_intro zenon_H37e | zenon_intro zenon_H35a ].
% 49.38/49.52 apply (zenon_L557_); trivial.
% 49.38/49.52 apply (zenon_L613_); trivial.
% 49.38/49.52 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H116 | zenon_intro zenon_H35a ].
% 49.38/49.52 apply (zenon_L65_); trivial.
% 49.38/49.52 apply (zenon_L613_); trivial.
% 49.38/49.52 (* end of lemma zenon_L614_ *)
% 49.38/49.52 assert (zenon_L615_ : (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e11) (e13)) = (e11)) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (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) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e10) (e10)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e11) (e11)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e10)) = (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)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((e11) = (e13))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e11)) = (e13)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False).
% 49.38/49.52 do 0 intro. intros zenon_H13f zenon_H391 zenon_H36b zenon_Hab zenon_H38e zenon_H113 zenon_H187 zenon_H67 zenon_H17a zenon_H190 zenon_H2d zenon_H15e zenon_H142 zenon_H182 zenon_H4a zenon_H16b zenon_H43 zenon_H40 zenon_H178 zenon_H16a zenon_H8b zenon_H160 zenon_H72 zenon_H23 zenon_H154 zenon_H35d zenon_H96 zenon_H76 zenon_Hd6 zenon_H4f zenon_Hae zenon_H353 zenon_H60 zenon_H33 zenon_H18e zenon_H146 zenon_H151 zenon_H15a zenon_Hfd zenon_H16c zenon_H18d zenon_Hd9 zenon_H185 zenon_H82 zenon_H108 zenon_H360 zenon_H155 zenon_H7b zenon_H117 zenon_H57 zenon_H11d zenon_H12b zenon_H126 zenon_H135 zenon_H63 zenon_H11e zenon_H111 zenon_H10b zenon_H58 zenon_H15f zenon_Hc7 zenon_H2c zenon_Hfa zenon_Hea zenon_H37f zenon_H387 zenon_H9e zenon_He0 zenon_H6c zenon_Hbe zenon_H368 zenon_H161 zenon_H4e zenon_H180 zenon_H9a zenon_H99 zenon_H365 zenon_H377 zenon_H18 zenon_H122 zenon_H13a zenon_H24 zenon_H1f zenon_H20 zenon_H3a.
% 49.38/49.52 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H56 | zenon_intro zenon_H158 ].
% 49.38/49.52 apply (zenon_L17_); trivial.
% 49.38/49.52 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H64 | zenon_intro zenon_H159 ].
% 49.38/49.52 apply (zenon_L68_); trivial.
% 49.38/49.52 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H13d | zenon_intro zenon_H11b ].
% 49.38/49.52 apply (zenon_L88_); trivial.
% 49.38/49.52 apply (zenon_L614_); trivial.
% 49.38/49.52 (* end of lemma zenon_L615_ *)
% 49.38/49.52 assert (zenon_L616_ : (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (e13) (e10)) = (e12)) -> ((op1 (e10) (e11)) = (e11)) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e11) (e13)) = (e11)) -> ((op1 (e12) (e13)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((e11) = (e13))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((e12) = (e13))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((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)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (e11)) = (e10)) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e10) (e10)) = (e12)) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e13) (e13)) = (e10)) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False).
% 49.38/49.52 do 0 intro. intros zenon_H36b zenon_H40 zenon_H37f zenon_H387 zenon_H2d zenon_H187 zenon_H92 zenon_H4e zenon_H190 zenon_H180 zenon_H161 zenon_H113 zenon_Hab zenon_Hfb zenon_Hfa zenon_H15f zenon_H58 zenon_H10b zenon_H111 zenon_H11e zenon_H63 zenon_H135 zenon_H9e zenon_H99 zenon_H126 zenon_H12b zenon_H11d zenon_H57 zenon_H6c zenon_H117 zenon_H7b zenon_H155 zenon_H360 zenon_H108 zenon_He0 zenon_H82 zenon_H185 zenon_Hd9 zenon_H18d zenon_H16c zenon_Hfd zenon_H15a zenon_H151 zenon_H146 zenon_H18e zenon_H33 zenon_H60 zenon_H353 zenon_Hae zenon_H4f zenon_Hd6 zenon_H76 zenon_H96 zenon_Hc7 zenon_H35d zenon_Hea zenon_H154 zenon_H23 zenon_H72 zenon_H160 zenon_H8b zenon_H35a zenon_H38e zenon_H365 zenon_H377 zenon_H18 zenon_H122 zenon_H13a zenon_H24 zenon_H1f zenon_H20 zenon_H3a.
% 49.38/49.52 apply (zenon_or_s _ _ zenon_H36b); [ zenon_intro zenon_H110 | zenon_intro zenon_H36c ].
% 49.38/49.52 apply (zenon_L606_); trivial.
% 49.38/49.52 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_Hde | zenon_intro zenon_H36d ].
% 49.38/49.52 apply (zenon_L43_); trivial.
% 49.38/49.52 apply (zenon_or_s _ _ zenon_H36d); [ zenon_intro zenon_H369 | zenon_intro zenon_Hc8 ].
% 49.38/49.52 apply (zenon_L610_); trivial.
% 49.38/49.52 apply (zenon_L571_); trivial.
% 49.38/49.52 (* end of lemma zenon_L616_ *)
% 49.38/49.52 assert (zenon_L617_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e10) = (op1 (e12) (e12))) -> (~((e12) = (e13))) -> ((op1 (e13) (e11)) = (e12)) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e12) (e12)) = (e13)) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> False).
% 49.38/49.52 do 0 intro. intros zenon_H135 zenon_H3a zenon_H1f zenon_H111 zenon_H95 zenon_H57 zenon_H11d zenon_H24 zenon_H89 zenon_H20 zenon_H15a.
% 49.38/49.52 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H39 | zenon_intro zenon_H136 ].
% 49.38/49.52 apply (zenon_L8_); trivial.
% 49.38/49.52 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hdc | zenon_intro zenon_H137 ].
% 49.38/49.52 apply (zenon_L89_); trivial.
% 49.38/49.52 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Haf | zenon_intro zenon_H12c ].
% 49.38/49.52 apply (zenon_L67_); trivial.
% 49.38/49.52 apply (zenon_L104_); trivial.
% 49.38/49.52 (* end of lemma zenon_L617_ *)
% 49.38/49.52 assert (zenon_L618_ : ((op1 (e13) (e11)) = (e13)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e11)) = (e11)) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e11) (e13)) = (e11)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((e11) = (e13))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((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)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (e11)) = (e10)) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e10) (e10)) = (e12)) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e12) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> (~((e12) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False).
% 49.38/49.52 do 0 intro. intros zenon_Hdc zenon_H36b zenon_H40 zenon_H37f zenon_H387 zenon_H2d zenon_H187 zenon_H4e zenon_H190 zenon_H180 zenon_H161 zenon_H113 zenon_Hab zenon_Hfa zenon_H15f zenon_H58 zenon_H10b zenon_H11e zenon_H63 zenon_H9e zenon_H126 zenon_H12b zenon_H6c zenon_H117 zenon_H7b zenon_H155 zenon_H360 zenon_H108 zenon_He0 zenon_H82 zenon_H185 zenon_Hd9 zenon_H18d zenon_H16c zenon_Hfd zenon_H151 zenon_H146 zenon_H18e zenon_H33 zenon_H60 zenon_H353 zenon_Hae zenon_H4f zenon_Hd6 zenon_H76 zenon_H96 zenon_Hc7 zenon_H35d zenon_Hea zenon_H154 zenon_H23 zenon_H72 zenon_H160 zenon_H8b zenon_H38e zenon_H15a zenon_H89 zenon_H11d zenon_H57 zenon_H111 zenon_H135 zenon_H9a zenon_H99 zenon_H365 zenon_H377 zenon_H18 zenon_H122 zenon_H13a zenon_H24 zenon_H1f zenon_H20 zenon_H3a.
% 49.38/49.52 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_H91 | zenon_intro zenon_H35e ].
% 49.38/49.52 apply (zenon_L552_); trivial.
% 49.38/49.52 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H18b | zenon_intro zenon_H35f ].
% 49.38/49.52 apply (zenon_L504_); trivial.
% 49.38/49.52 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H116 | zenon_intro zenon_H35a ].
% 49.38/49.52 apply (zenon_L65_); trivial.
% 49.38/49.52 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H92 | zenon_intro zenon_Hd7 ].
% 49.38/49.52 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H8c | zenon_intro zenon_H152 ].
% 49.38/49.52 apply (zenon_L28_); trivial.
% 49.38/49.52 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H145 | zenon_intro zenon_H153 ].
% 49.38/49.52 apply (zenon_L93_); trivial.
% 49.38/49.52 apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_Hfb | zenon_intro zenon_H12c ].
% 49.38/49.52 apply (zenon_L616_); trivial.
% 49.38/49.52 apply (zenon_L104_); trivial.
% 49.38/49.52 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H95 | zenon_intro zenon_Hd8 ].
% 49.38/49.52 apply (zenon_L617_); trivial.
% 49.38/49.52 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hc8 ].
% 49.38/49.52 apply (zenon_L31_); trivial.
% 49.38/49.52 apply (zenon_L571_); trivial.
% 49.38/49.52 (* end of lemma zenon_L618_ *)
% 49.38/49.52 assert (zenon_L619_ : (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (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) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e10) (e10)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e11) (e11)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e10)) = (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)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((e11) = (e13))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e13)) = (e11)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((e10) = (e13))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e12) = (e13))) -> ((op1 (e13) (e11)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e13)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> False).
% 49.38/49.52 do 0 intro. intros zenon_H3a zenon_H20 zenon_H13a zenon_H122 zenon_H18 zenon_H377 zenon_H365 zenon_H38e zenon_H8b zenon_H160 zenon_H72 zenon_H23 zenon_H154 zenon_H35d zenon_H96 zenon_H76 zenon_Hd6 zenon_H4f zenon_Hae zenon_H353 zenon_H60 zenon_H33 zenon_H18e zenon_H146 zenon_H151 zenon_H15a zenon_Hfd zenon_H16c zenon_H18d zenon_Hd9 zenon_H185 zenon_H82 zenon_H108 zenon_H360 zenon_H155 zenon_H7b zenon_H117 zenon_H6c zenon_H12b zenon_H126 zenon_H9e zenon_H135 zenon_H63 zenon_H11e zenon_H10b zenon_H58 zenon_H15f zenon_Hfa zenon_Hab zenon_H113 zenon_H161 zenon_H180 zenon_H190 zenon_H4e zenon_H187 zenon_H2d zenon_H387 zenon_H37f zenon_H40 zenon_H36b zenon_H111 zenon_Hdc zenon_H99 zenon_Hc7 zenon_He0 zenon_H9a zenon_Hea zenon_H1f zenon_Hfb zenon_H24 zenon_H57 zenon_H11d.
% 49.38/49.52 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_H91 | zenon_intro zenon_H35e ].
% 49.38/49.52 apply (zenon_L97_); trivial.
% 49.38/49.52 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H18b | zenon_intro zenon_H35f ].
% 49.38/49.52 apply (zenon_L504_); trivial.
% 49.38/49.52 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H116 | zenon_intro zenon_H35a ].
% 49.38/49.52 apply (zenon_L65_); trivial.
% 49.38/49.52 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H92 | zenon_intro zenon_Hd7 ].
% 49.38/49.52 apply (zenon_L616_); trivial.
% 49.38/49.52 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H95 | zenon_intro zenon_Hd8 ].
% 49.38/49.52 apply (zenon_L89_); trivial.
% 49.38/49.52 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hc8 ].
% 49.38/49.52 apply (zenon_L31_); trivial.
% 49.38/49.52 apply (zenon_L96_); trivial.
% 49.38/49.52 (* end of lemma zenon_L619_ *)
% 49.38/49.52 assert (zenon_L620_ : (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e12))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> ((op1 (e11) (e11)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e10) (e10)) = (e12)) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e11) (e13)) = (e10)) -> (~((e10) = (e11))) -> False).
% 49.38/49.52 do 0 intro. intros zenon_H15f zenon_H20 zenon_H33 zenon_H76 zenon_H11e zenon_H117 zenon_H1f zenon_H99 zenon_H11d zenon_H57 zenon_H60 zenon_H23 zenon_H72 zenon_H160 zenon_He7 zenon_H4f.
% 49.38/49.52 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H5b | zenon_intro zenon_H165 ].
% 49.38/49.52 apply (zenon_L18_); trivial.
% 49.38/49.52 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H61 | zenon_intro zenon_H166 ].
% 49.38/49.53 apply (zenon_L19_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H64 | zenon_intro zenon_Hab ].
% 49.38/49.53 apply (zenon_L529_); trivial.
% 49.38/49.53 apply (zenon_L47_); trivial.
% 49.38/49.53 (* end of lemma zenon_L620_ *)
% 49.38/49.53 assert (zenon_L621_ : ((op1 (e10) (e10)) = (e12)) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((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) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (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 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((e10) = (e13))) -> False).
% 49.38/49.53 do 0 intro. intros zenon_H72 zenon_H3a zenon_H20 zenon_H1f zenon_H24 zenon_H13a zenon_H122 zenon_H180 zenon_H365 zenon_H135 zenon_H57 zenon_H11d zenon_H38e zenon_H8b zenon_H12b zenon_Hc7 zenon_H2c zenon_Hfa zenon_Hea zenon_H37f zenon_H387 zenon_H9e zenon_He7 zenon_H6c zenon_H117 zenon_H377 zenon_H18 zenon_H36b zenon_H4e zenon_H368 zenon_H16a zenon_H178 zenon_H40 zenon_H43 zenon_H16b zenon_H4a zenon_H111 zenon_H160 zenon_H182 zenon_H154 zenon_H7b zenon_H10b zenon_H142 zenon_H11e zenon_H15e zenon_H58 zenon_H190 zenon_H17a zenon_H82 zenon_Hd6 zenon_H76 zenon_H96 zenon_H99 zenon_H18e zenon_Hae zenon_H63 zenon_He0 zenon_H108 zenon_H185 zenon_Hd9 zenon_H151 zenon_H146 zenon_H15a zenon_H18d zenon_H33 zenon_Hfd zenon_H67 zenon_H16c zenon_H15f zenon_H187 zenon_H23 zenon_H113 zenon_H4f zenon_H13f zenon_H155 zenon_H2d.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H17 | zenon_intro zenon_H191 ].
% 49.38/49.53 apply (zenon_L14_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H60 | zenon_intro zenon_H192 ].
% 49.38/49.53 apply (zenon_L620_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H188 | zenon_intro zenon_H18b ].
% 49.38/49.53 apply (zenon_L140_); trivial.
% 49.38/49.53 apply (zenon_L605_); trivial.
% 49.38/49.53 (* end of lemma zenon_L621_ *)
% 49.38/49.53 assert (zenon_L622_ : (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e11) (e10)) = (e12)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False).
% 49.38/49.53 do 0 intro. intros zenon_Hd6 zenon_H73 zenon_H180 zenon_H82 zenon_H99 zenon_H63 zenon_H56 zenon_He0 zenon_H108 zenon_H365 zenon_H377 zenon_H18 zenon_H122 zenon_H13a zenon_H24 zenon_H1f zenon_H20 zenon_H3a.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H92 | zenon_intro zenon_Hd7 ].
% 49.38/49.53 apply (zenon_L553_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H95 | zenon_intro zenon_Hd8 ].
% 49.38/49.53 apply (zenon_L604_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hc8 ].
% 49.38/49.53 apply (zenon_L60_); trivial.
% 49.38/49.53 apply (zenon_L571_); trivial.
% 49.38/49.53 (* end of lemma zenon_L622_ *)
% 49.38/49.53 assert (zenon_L623_ : (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e13)) = (e10)) -> ((op1 (e13) (e12)) = (e13)) -> False).
% 49.38/49.53 do 0 intro. intros zenon_H9e zenon_H8c zenon_He0 zenon_H9a zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_H18e zenon_H35a zenon_Haf.
% 49.38/49.53 apply (zenon_or_s _ _ ax10); [ zenon_intro zenon_H9d | zenon_intro zenon_Hd4 ].
% 49.38/49.53 apply (zenon_L33_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Had | zenon_intro zenon_Hd5 ].
% 49.38/49.53 apply (zenon_L49_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hc6 ].
% 49.38/49.53 apply (zenon_L37_); trivial.
% 49.38/49.53 apply (zenon_L483_); trivial.
% 49.38/49.53 (* end of lemma zenon_L623_ *)
% 49.38/49.53 assert (zenon_L624_ : (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e13) (e11)) = (e11)) -> (~((e11) = (e13))) -> False).
% 49.38/49.53 do 0 intro. intros zenon_H154 zenon_Hfa zenon_H18d zenon_H33 zenon_Hfd zenon_H7b zenon_H18e zenon_H24 zenon_H1f zenon_H6c zenon_H9a zenon_He0 zenon_H8c zenon_H9e zenon_H117 zenon_H4f zenon_Hd9 zenon_H56 zenon_H82 zenon_H20 zenon_H8b zenon_Hd6 zenon_H76 zenon_H96 zenon_H99 zenon_Hab zenon_Hae zenon_Hc7 zenon_H35d zenon_H94 zenon_H58.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ].
% 49.38/49.53 apply (zenon_L574_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ].
% 49.38/49.53 apply (zenon_L25_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ].
% 49.38/49.53 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H57 | zenon_intro zenon_Hda ].
% 49.38/49.53 apply (zenon_L17_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H81 | zenon_intro zenon_Hdb ].
% 49.38/49.53 apply (zenon_L26_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H89 | zenon_intro zenon_Haf ].
% 49.38/49.53 apply (zenon_L28_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_H91 | zenon_intro zenon_H35e ].
% 49.38/49.53 apply (zenon_L41_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H18b | zenon_intro zenon_H35f ].
% 49.38/49.53 apply (zenon_L481_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H116 | zenon_intro zenon_H35a ].
% 49.38/49.53 apply (zenon_L65_); trivial.
% 49.38/49.53 apply (zenon_L623_); trivial.
% 49.38/49.53 apply (zenon_L42_); trivial.
% 49.38/49.53 (* end of lemma zenon_L624_ *)
% 49.38/49.53 assert (zenon_L625_ : (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e11) (e11)) = (e10)) -> (~((e11) = (e13))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((e10) = (e11))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e11) (e13)) = (e11)) -> (~((e11) = (e12))) -> False).
% 49.38/49.53 do 0 intro. intros zenon_H16c zenon_H67 zenon_H160 zenon_H3a zenon_H13a zenon_H122 zenon_H18 zenon_H377 zenon_H365 zenon_H108 zenon_H63 zenon_H180 zenon_H60 zenon_H58 zenon_H35d zenon_Hc7 zenon_Hae zenon_H99 zenon_H76 zenon_Hd6 zenon_H8b zenon_H20 zenon_H82 zenon_H56 zenon_Hd9 zenon_H4f zenon_H117 zenon_H9e zenon_H8c zenon_He0 zenon_H6c zenon_H1f zenon_H24 zenon_H18e zenon_H7b zenon_Hfd zenon_H33 zenon_H18d zenon_Hfa zenon_H154 zenon_Hab zenon_H96.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H4e | zenon_intro zenon_H171 ].
% 49.38/49.53 apply (zenon_L21_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H61 | zenon_intro zenon_H172 ].
% 49.38/49.53 apply (zenon_L19_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H6b | zenon_intro zenon_H94 ].
% 49.38/49.53 apply (zenon_L22_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H73 | zenon_intro zenon_H167 ].
% 49.38/49.53 apply (zenon_L622_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H75 | zenon_intro zenon_H168 ].
% 49.38/49.53 apply (zenon_L24_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H9a | zenon_intro zenon_Hde ].
% 49.38/49.53 apply (zenon_L624_); trivial.
% 49.38/49.53 apply (zenon_L43_); trivial.
% 49.38/49.53 (* end of lemma zenon_L625_ *)
% 49.38/49.53 assert (zenon_L626_ : (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((e10) = (e13))) -> ((op1 (e11) (e10)) = (e13)) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e11) = (e13))) -> (~((e10) = (e11))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (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)) = (e13)) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> False).
% 49.38/49.53 do 0 intro. intros zenon_H161 zenon_H2d zenon_H2c zenon_H154 zenon_H18d zenon_H7b zenon_H18e zenon_H117 zenon_Hd6 zenon_H76 zenon_Hc7 zenon_H35d zenon_H180 zenon_H365 zenon_H377 zenon_H18 zenon_H122 zenon_H13a zenon_H3a zenon_H160 zenon_H67 zenon_H16c zenon_H15f zenon_H10b zenon_H96 zenon_Hfa zenon_Hf7 zenon_H58 zenon_H4f zenon_Hea zenon_H9e zenon_H6c zenon_Hae zenon_H33 zenon_Hfd zenon_H8b zenon_H8c zenon_Hd9 zenon_H108 zenon_He0 zenon_H56 zenon_H63 zenon_H99 zenon_H24 zenon_H1f zenon_H20 zenon_H82.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H2b | zenon_intro zenon_H163 ].
% 49.38/49.53 apply (zenon_L6_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H60 | zenon_intro zenon_H164 ].
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H5b | zenon_intro zenon_H165 ].
% 49.38/49.53 apply (zenon_L18_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H61 | zenon_intro zenon_H166 ].
% 49.38/49.53 apply (zenon_L19_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H64 | zenon_intro zenon_Hab ].
% 49.38/49.53 apply (zenon_L20_); trivial.
% 49.38/49.53 apply (zenon_L625_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_He1 | zenon_intro zenon_He7 ].
% 49.38/49.53 apply (zenon_L44_); trivial.
% 49.38/49.53 apply (zenon_L61_); trivial.
% 49.38/49.53 (* end of lemma zenon_L626_ *)
% 49.38/49.53 assert (zenon_L627_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((e10) = (e13))) -> ((op1 (e13) (e11)) = (e10)) -> ((op1 (e13) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e10) (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 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e12)) -> False).
% 49.38/49.53 do 0 intro. intros zenon_H135 zenon_H3a zenon_H2d zenon_H18b zenon_Hf3 zenon_Hae zenon_H18e zenon_H8c zenon_H38e zenon_H8b zenon_H12b zenon_Hc7 zenon_H20 zenon_H2c zenon_Hfa zenon_Hea zenon_H37f zenon_H387 zenon_H9e zenon_He7 zenon_H13a zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_H117 zenon_H9b.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H39 | zenon_intro zenon_H136 ].
% 49.38/49.53 apply (zenon_L8_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hdc | zenon_intro zenon_H137 ].
% 49.38/49.53 apply (zenon_L504_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Haf | zenon_intro zenon_H12c ].
% 49.38/49.53 apply (zenon_L570_); trivial.
% 49.38/49.53 apply (zenon_L584_); trivial.
% 49.38/49.53 (* end of lemma zenon_L627_ *)
% 49.38/49.53 assert (zenon_L628_ : (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e10) = (e11))) -> ((op1 (e11) (e12)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((e10) = (e13))) -> ((op1 (e13) (e11)) = (e10)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e10) (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 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> False).
% 49.38/49.53 do 0 intro. intros zenon_H10b zenon_H108 zenon_H111 zenon_He0 zenon_H58 zenon_Hf7 zenon_H11e zenon_H11d zenon_H82 zenon_H63 zenon_Hd9 zenon_H126 zenon_H122 zenon_H4f zenon_H64 zenon_H99 zenon_H135 zenon_H3a zenon_H2d zenon_H18b zenon_Hae zenon_H18e zenon_H8c zenon_H38e zenon_H8b zenon_H12b zenon_Hc7 zenon_H20 zenon_H2c zenon_Hfa zenon_Hea zenon_H37f zenon_H387 zenon_H9e zenon_He7 zenon_H13a zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_H117.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_He4 | zenon_intro zenon_H10c ].
% 49.38/49.53 apply (zenon_L577_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H9a | zenon_intro zenon_H10d ].
% 49.38/49.53 apply (zenon_L580_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H101 | zenon_intro zenon_H9b ].
% 49.38/49.53 apply (zenon_L59_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H121 | zenon_intro zenon_H127 ].
% 49.38/49.53 apply (zenon_L70_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H94 | zenon_intro zenon_H128 ].
% 49.38/49.53 apply (zenon_L481_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H11b | zenon_intro zenon_Hf3 ].
% 49.38/49.53 apply (zenon_L66_); trivial.
% 49.38/49.53 apply (zenon_L627_); trivial.
% 49.38/49.53 (* end of lemma zenon_L628_ *)
% 49.38/49.53 assert (zenon_L629_ : (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((e10) = (e12))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (e12)) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((e10) = (e11))) -> ((op1 (e10) (e11)) = (e11)) -> (((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 (e12) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> ((op1 (e13) (e12)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e11)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False).
% 49.38/49.53 do 0 intro. intros zenon_H36b zenon_H111 zenon_H40 zenon_H23 zenon_Hc7 zenon_H11d zenon_H2d zenon_H135 zenon_H187 zenon_H15f zenon_H76 zenon_H11e zenon_H117 zenon_H99 zenon_H92 zenon_H160 zenon_H4f zenon_H4e zenon_H190 zenon_H35d zenon_H353 zenon_H180 zenon_H146 zenon_H151 zenon_H161 zenon_H33 zenon_H58 zenon_H113 zenon_Hfa zenon_H185 zenon_Hea zenon_H37f zenon_H387 zenon_H11b zenon_H368 zenon_Hbe zenon_H6c zenon_H9a zenon_He0 zenon_H8c zenon_H9e zenon_H365 zenon_H377 zenon_H18 zenon_H122 zenon_H13a zenon_H24 zenon_H1f zenon_H20 zenon_H3a.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H36b); [ zenon_intro zenon_H110 | zenon_intro zenon_H36c ].
% 49.38/49.53 apply (zenon_L606_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_Hde | zenon_intro zenon_H36d ].
% 49.38/49.53 apply (zenon_L569_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H36d); [ zenon_intro zenon_H369 | zenon_intro zenon_Hc8 ].
% 49.38/49.53 apply (zenon_L608_); trivial.
% 49.38/49.53 apply (zenon_L571_); trivial.
% 49.38/49.53 (* end of lemma zenon_L629_ *)
% 49.38/49.53 assert (zenon_L630_ : (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e11)) = (e13)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e12)) = (e11)) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((op1 (e12) (e10)) = (e11)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((op1 (e10) (e11)) = (e11)) -> (~((e10) = (e11))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((e10) = (e12))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False).
% 49.38/49.53 do 0 intro. intros zenon_Hd6 zenon_H9e zenon_H8c zenon_He0 zenon_H6c zenon_Hbe zenon_H368 zenon_H11b zenon_H387 zenon_H37f zenon_Hea zenon_H185 zenon_Hfa zenon_H113 zenon_H58 zenon_H33 zenon_H161 zenon_H151 zenon_H146 zenon_H353 zenon_H35d zenon_H190 zenon_H4e zenon_H4f zenon_H160 zenon_H117 zenon_H11e zenon_H76 zenon_H15f zenon_H187 zenon_H135 zenon_H2d zenon_H11d zenon_Hc7 zenon_H23 zenon_H40 zenon_H111 zenon_H36b zenon_H180 zenon_H9a zenon_H99 zenon_H365 zenon_H377 zenon_H18 zenon_H122 zenon_H13a zenon_H24 zenon_H1f zenon_H20 zenon_H3a.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H92 | zenon_intro zenon_Hd7 ].
% 49.38/49.53 apply (zenon_L629_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H95 | zenon_intro zenon_Hd8 ].
% 49.38/49.53 apply (zenon_L604_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hc8 ].
% 49.38/49.53 apply (zenon_L31_); trivial.
% 49.38/49.53 apply (zenon_L571_); trivial.
% 49.38/49.53 (* end of lemma zenon_L630_ *)
% 49.38/49.53 assert (zenon_L631_ : (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((op1 (e12) (e10)) = (e11)) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> ((op1 (e10) (e10)) = (e12)) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((e10) = (e13))) -> ((op1 (e13) (e11)) = (e10)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e10) (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 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e12)) -> False).
% 49.38/49.53 do 0 intro. intros zenon_Hf7 zenon_H58 zenon_H11d zenon_H15a zenon_Hfd zenon_H63 zenon_H154 zenon_He0 zenon_H360 zenon_H126 zenon_H122 zenon_H7b zenon_H111 zenon_H142 zenon_H36b zenon_H96 zenon_H76 zenon_H368 zenon_Hd6 zenon_H13f zenon_H11e zenon_H99 zenon_H155 zenon_H113 zenon_H161 zenon_H15f zenon_H190 zenon_H353 zenon_H362 zenon_H35d zenon_H185 zenon_Hd9 zenon_H146 zenon_H151 zenon_H18d zenon_H16c zenon_H187 zenon_H108 zenon_H82 zenon_H23 zenon_H40 zenon_H10b zenon_H72 zenon_H160 zenon_H18 zenon_H19 zenon_H33 zenon_H180 zenon_H365 zenon_H36e zenon_H173 zenon_H4f zenon_H135 zenon_H3a zenon_H2d zenon_H18b zenon_Hae zenon_H18e zenon_H8c zenon_H38e zenon_H8b zenon_H12b zenon_Hc7 zenon_H20 zenon_H2c zenon_Hfa zenon_Hea zenon_H37f zenon_H387 zenon_H9e zenon_He7 zenon_H13a zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_H117 zenon_H9b.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He6 | zenon_intro zenon_Hf8 ].
% 49.38/49.53 apply (zenon_L543_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Hab | zenon_intro zenon_Hf9 ].
% 49.38/49.53 apply (zenon_L47_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_He9 | zenon_intro zenon_Hf3 ].
% 49.38/49.53 apply (zenon_L48_); trivial.
% 49.38/49.53 apply (zenon_L627_); trivial.
% 49.38/49.53 (* end of lemma zenon_L631_ *)
% 49.38/49.53 assert (zenon_L632_ : (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e11)) = (e11)) -> ((op1 (e13) (e12)) = (e11)) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((op1 (e12) (e10)) = (e11)) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> ((op1 (e10) (e10)) = (e12)) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((e10) = (e13))) -> ((op1 (e13) (e11)) = (e10)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e10) (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 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> False).
% 49.38/49.53 do 0 intro. intros zenon_H377 zenon_H4e zenon_H11b zenon_Hf7 zenon_H58 zenon_H11d zenon_H15a zenon_Hfd zenon_H63 zenon_H154 zenon_He0 zenon_H360 zenon_H126 zenon_H122 zenon_H7b zenon_H111 zenon_H142 zenon_H36b zenon_H96 zenon_H76 zenon_H368 zenon_Hd6 zenon_H13f zenon_H11e zenon_H99 zenon_H155 zenon_H113 zenon_H161 zenon_H15f zenon_H190 zenon_H353 zenon_H362 zenon_H35d zenon_H185 zenon_Hd9 zenon_H146 zenon_H151 zenon_H18d zenon_H16c zenon_H187 zenon_H108 zenon_H82 zenon_H23 zenon_H40 zenon_H10b zenon_H72 zenon_H160 zenon_H18 zenon_H19 zenon_H33 zenon_H180 zenon_H365 zenon_H36e zenon_H173 zenon_H4f zenon_H135 zenon_H3a zenon_H2d zenon_H18b zenon_Hae zenon_H18e zenon_H8c zenon_H38e zenon_H8b zenon_H12b zenon_Hc7 zenon_H20 zenon_H2c zenon_Hfa zenon_Hea zenon_H37f zenon_H387 zenon_H9e zenon_He7 zenon_H13a zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_H117.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_He4 | zenon_intro zenon_H10c ].
% 49.38/49.53 apply (zenon_L491_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H9a | zenon_intro zenon_H10d ].
% 49.38/49.53 apply (zenon_L630_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H101 | zenon_intro zenon_H9b ].
% 49.38/49.53 apply (zenon_L59_); trivial.
% 49.38/49.53 apply (zenon_L631_); trivial.
% 49.38/49.53 (* end of lemma zenon_L632_ *)
% 49.38/49.53 assert (zenon_L633_ : (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e11)) = (e11)) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((op1 (e12) (e10)) = (e11)) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> ((op1 (e10) (e10)) = (e12)) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((e10) = (e13))) -> ((op1 (e13) (e11)) = (e10)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e10) (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 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> False).
% 49.38/49.53 do 0 intro. intros zenon_H67 zenon_H377 zenon_H4e zenon_Hf7 zenon_H58 zenon_H11d zenon_H15a zenon_Hfd zenon_H63 zenon_H154 zenon_He0 zenon_H360 zenon_H126 zenon_H122 zenon_H7b zenon_H111 zenon_H142 zenon_H36b zenon_H96 zenon_H76 zenon_H368 zenon_Hd6 zenon_H13f zenon_H11e zenon_H99 zenon_H155 zenon_H113 zenon_H161 zenon_H15f zenon_H190 zenon_H353 zenon_H362 zenon_H35d zenon_H185 zenon_Hd9 zenon_H146 zenon_H151 zenon_H18d zenon_H16c zenon_H187 zenon_H108 zenon_H82 zenon_H23 zenon_H40 zenon_H10b zenon_H72 zenon_H160 zenon_H18 zenon_H19 zenon_H33 zenon_H180 zenon_H365 zenon_H36e zenon_H173 zenon_H4f zenon_H135 zenon_H3a zenon_H2d zenon_H18b zenon_Hae zenon_H18e zenon_H8c zenon_H38e zenon_H8b zenon_H12b zenon_Hc7 zenon_H20 zenon_H2c zenon_Hfa zenon_Hea zenon_H37f zenon_H387 zenon_H9e zenon_He7 zenon_H13a zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_H117.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H56 | zenon_intro zenon_H158 ].
% 49.38/49.53 apply (zenon_L626_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H64 | zenon_intro zenon_H159 ].
% 49.38/49.53 apply (zenon_L628_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H13d | zenon_intro zenon_H11b ].
% 49.38/49.53 apply (zenon_L88_); trivial.
% 49.38/49.53 apply (zenon_L632_); trivial.
% 49.38/49.53 (* end of lemma zenon_L633_ *)
% 49.38/49.53 assert (zenon_L634_ : ((op1 (e11) (e12)) = (e11)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e11)) = (e11)) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((op1 (e12) (e10)) = (e11)) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> ((op1 (e10) (e10)) = (e12)) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((e10) = (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (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 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> False).
% 49.38/49.53 do 0 intro. intros zenon_H64 zenon_H37f zenon_H67 zenon_H377 zenon_H4e zenon_Hf7 zenon_H58 zenon_H11d zenon_H15a zenon_Hfd zenon_H63 zenon_H154 zenon_H360 zenon_H126 zenon_H122 zenon_H7b zenon_H111 zenon_H142 zenon_H36b zenon_H96 zenon_H76 zenon_H368 zenon_Hd6 zenon_H13f zenon_H11e zenon_H99 zenon_H155 zenon_H113 zenon_H161 zenon_H15f zenon_H190 zenon_H353 zenon_H362 zenon_H35d zenon_H185 zenon_Hd9 zenon_H146 zenon_H151 zenon_H18d zenon_H16c zenon_H187 zenon_H108 zenon_H82 zenon_H23 zenon_H40 zenon_H10b zenon_H72 zenon_H160 zenon_H18 zenon_H19 zenon_H33 zenon_H180 zenon_H365 zenon_H36e zenon_H173 zenon_H4f zenon_H135 zenon_H3a zenon_H2d zenon_Hae zenon_H38e zenon_H8b zenon_H12b zenon_Hc7 zenon_H20 zenon_H2c zenon_Hfa zenon_Hea zenon_H387 zenon_H13a zenon_H391 zenon_H117 zenon_H9e zenon_H8c zenon_He0 zenon_H9a zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_H18e.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H57 | zenon_intro zenon_Hda ].
% 49.38/49.53 apply (zenon_L68_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H81 | zenon_intro zenon_Hdb ].
% 49.38/49.53 apply (zenon_L26_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H89 | zenon_intro zenon_Haf ].
% 49.38/49.53 apply (zenon_L28_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_H91 | zenon_intro zenon_H35e ].
% 49.38/49.53 apply (zenon_L552_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H18b | zenon_intro zenon_H35f ].
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H391); [ zenon_intro zenon_H177 | zenon_intro zenon_H392 ].
% 49.38/49.53 apply (zenon_L121_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H392); [ zenon_intro zenon_He7 | zenon_intro zenon_H393 ].
% 49.38/49.53 apply (zenon_L633_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H393); [ zenon_intro zenon_H37e | zenon_intro zenon_H35a ].
% 49.38/49.53 apply (zenon_L557_); trivial.
% 49.38/49.53 apply (zenon_L623_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H116 | zenon_intro zenon_H35a ].
% 49.38/49.53 apply (zenon_L65_); trivial.
% 49.38/49.53 apply (zenon_L623_); trivial.
% 49.38/49.53 (* end of lemma zenon_L634_ *)
% 49.38/49.53 assert (zenon_L635_ : (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((op1 (e12) (e10)) = (e11)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((op1 (e10) (e11)) = (e11)) -> (~((e10) = (e11))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((e10) = (e12))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e13) (e11)) = (e13)) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e12)) = (e11)) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> False).
% 49.38/49.53 do 0 intro. intros zenon_Hfd zenon_Hae zenon_H1f zenon_H6c zenon_H9a zenon_He0 zenon_H9e zenon_Hd6 zenon_H368 zenon_H387 zenon_H37f zenon_Hea zenon_H185 zenon_H113 zenon_H58 zenon_H33 zenon_H161 zenon_H151 zenon_H146 zenon_H353 zenon_H35d zenon_H190 zenon_H4e zenon_H4f zenon_H160 zenon_H117 zenon_H11e zenon_H76 zenon_H15f zenon_H187 zenon_H135 zenon_H2d zenon_H11d zenon_Hc7 zenon_H23 zenon_H40 zenon_H111 zenon_H36b zenon_H180 zenon_H99 zenon_H365 zenon_H377 zenon_H18 zenon_H122 zenon_H13a zenon_H3a zenon_Hdc zenon_H126 zenon_H82 zenon_H64 zenon_Hd9 zenon_H20 zenon_H24 zenon_H8b zenon_Hfa zenon_H8c.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hfe ].
% 49.38/49.53 apply (zenon_L7_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hff ].
% 49.38/49.53 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H57 | zenon_intro zenon_Hda ].
% 49.38/49.53 apply (zenon_L68_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H81 | zenon_intro zenon_Hdb ].
% 49.38/49.53 apply (zenon_L26_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H89 | zenon_intro zenon_Haf ].
% 49.38/49.53 apply (zenon_L28_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H121 | zenon_intro zenon_H127 ].
% 49.38/49.53 apply (zenon_L70_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H94 | zenon_intro zenon_H128 ].
% 49.38/49.53 apply (zenon_L42_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H11b | zenon_intro zenon_Hf3 ].
% 49.38/49.53 apply (zenon_L630_); trivial.
% 49.38/49.53 apply (zenon_L51_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H89 | zenon_intro zenon_Hfb ].
% 49.38/49.53 apply (zenon_L28_); trivial.
% 49.38/49.53 apply (zenon_L54_); trivial.
% 49.38/49.53 (* end of lemma zenon_L635_ *)
% 49.38/49.53 assert (zenon_L636_ : (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e12)) = (e11)) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> False).
% 49.38/49.53 do 0 intro. intros zenon_Hfd zenon_H33 zenon_H1f zenon_H13f zenon_H13d zenon_H20 zenon_H24 zenon_H8b zenon_Hfa zenon_H8c.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hfe ].
% 49.38/49.53 apply (zenon_L7_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hff ].
% 49.38/49.53 apply (zenon_L88_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H89 | zenon_intro zenon_Hfb ].
% 49.38/49.53 apply (zenon_L28_); trivial.
% 49.38/49.53 apply (zenon_L54_); trivial.
% 49.38/49.53 (* end of lemma zenon_L636_ *)
% 49.38/49.53 assert (zenon_L637_ : (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e12)) = (e11)) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e12) (e10)) = (e11)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((op1 (e10) (e11)) = (e11)) -> (~((e10) = (e11))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((e10) = (e12))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e12) = (e13))) -> ((op1 (e13) (e11)) = (e13)) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> ((op1 (e11) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e12)) = (e13)) -> False).
% 49.38/49.53 do 0 intro. intros zenon_Hd6 zenon_H3a zenon_H20 zenon_H13a zenon_H122 zenon_H18 zenon_H377 zenon_H365 zenon_He0 zenon_H368 zenon_H11b zenon_H387 zenon_H37f zenon_Hea zenon_H185 zenon_Hfa zenon_H113 zenon_H58 zenon_H33 zenon_H161 zenon_H151 zenon_H146 zenon_H180 zenon_H353 zenon_H35d zenon_H190 zenon_H4e zenon_H4f zenon_H160 zenon_H117 zenon_H11e zenon_H76 zenon_H15f zenon_H187 zenon_H135 zenon_H2d zenon_H11d zenon_H23 zenon_H40 zenon_H36b zenon_H111 zenon_Hdc zenon_H9a zenon_H99 zenon_H9e zenon_H8c zenon_Hab zenon_Hae zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_Hc7 zenon_Haf.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H92 | zenon_intro zenon_Hd7 ].
% 49.38/49.53 apply (zenon_L629_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H95 | zenon_intro zenon_Hd8 ].
% 49.38/49.53 apply (zenon_L89_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hc8 ].
% 49.38/49.53 apply (zenon_L31_); trivial.
% 49.38/49.53 apply (zenon_L39_); trivial.
% 49.38/49.53 (* end of lemma zenon_L637_ *)
% 49.38/49.53 assert (zenon_L638_ : (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e12) (e10)) = (e11)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((op1 (e10) (e11)) = (e11)) -> (~((e10) = (e11))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((e10) = (e12))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e12) = (e13))) -> ((op1 (e13) (e11)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e13)) = (e11)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e12)) = (e11)) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> False).
% 49.38/49.53 do 0 intro. intros zenon_Hfd zenon_Hae zenon_H1f zenon_H6c zenon_H9a zenon_He0 zenon_H9e zenon_Hd6 zenon_H3a zenon_H13a zenon_H122 zenon_H18 zenon_H377 zenon_H365 zenon_H368 zenon_H387 zenon_H37f zenon_Hea zenon_H185 zenon_H113 zenon_H58 zenon_H33 zenon_H161 zenon_H151 zenon_H146 zenon_H180 zenon_H353 zenon_H35d zenon_H190 zenon_H4e zenon_H4f zenon_H160 zenon_H117 zenon_H11e zenon_H76 zenon_H15f zenon_H187 zenon_H135 zenon_H2d zenon_H11d zenon_H23 zenon_H40 zenon_H36b zenon_H111 zenon_Hdc zenon_H99 zenon_Hab zenon_Hc7 zenon_H126 zenon_H82 zenon_H64 zenon_Hd9 zenon_H20 zenon_H24 zenon_H8b zenon_Hfa zenon_H8c.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hfe ].
% 49.38/49.53 apply (zenon_L7_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hff ].
% 49.38/49.53 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H57 | zenon_intro zenon_Hda ].
% 49.38/49.53 apply (zenon_L68_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H81 | zenon_intro zenon_Hdb ].
% 49.38/49.53 apply (zenon_L26_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H89 | zenon_intro zenon_Haf ].
% 49.38/49.53 apply (zenon_L28_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H121 | zenon_intro zenon_H127 ].
% 49.38/49.53 apply (zenon_L70_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H94 | zenon_intro zenon_H128 ].
% 49.38/49.53 apply (zenon_L42_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H11b | zenon_intro zenon_Hf3 ].
% 49.38/49.53 apply (zenon_L637_); trivial.
% 49.38/49.53 apply (zenon_L51_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H89 | zenon_intro zenon_Hfb ].
% 49.38/49.53 apply (zenon_L28_); trivial.
% 49.38/49.53 apply (zenon_L54_); trivial.
% 49.38/49.53 (* end of lemma zenon_L638_ *)
% 49.38/49.53 assert (zenon_L639_ : (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e11)) = (e13)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e12)) = (e11)) -> ((op1 (e11) (e13)) = (e11)) -> (~((e11) = (e12))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (e11)) = (e10)) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e12) = (e13))) -> ((op1 (e13) (e11)) = (e13)) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False).
% 49.38/49.53 do 0 intro. intros zenon_Hd6 zenon_H9e zenon_H8c zenon_He0 zenon_H6c zenon_Hbe zenon_H368 zenon_H11b zenon_Hab zenon_H96 zenon_H35d zenon_H76 zenon_H2d zenon_H117 zenon_H151 zenon_H146 zenon_H180 zenon_H33 zenon_H60 zenon_H353 zenon_H57 zenon_H11d zenon_H387 zenon_H37f zenon_Hea zenon_Hfa zenon_H2c zenon_Hc7 zenon_H36b zenon_H111 zenon_Hdc zenon_H9a zenon_H99 zenon_H365 zenon_H377 zenon_H18 zenon_H122 zenon_H13a zenon_H24 zenon_H1f zenon_H20 zenon_H3a.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H92 | zenon_intro zenon_Hd7 ].
% 49.38/49.53 apply (zenon_L609_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H95 | zenon_intro zenon_Hd8 ].
% 49.38/49.53 apply (zenon_L89_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hc8 ].
% 49.38/49.53 apply (zenon_L31_); trivial.
% 49.38/49.53 apply (zenon_L571_); trivial.
% 49.38/49.53 (* end of lemma zenon_L639_ *)
% 49.38/49.53 assert (zenon_L640_ : (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e13)) = (e11)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> ((op1 (e13) (e11)) = (e13)) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((e10) = (e12))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((e10) = (e11))) -> ((op1 (e10) (e11)) = (e11)) -> (((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 (e12) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> ((op1 (e13) (e12)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((e11) = (e12))) -> ((op1 (e11) (e11)) = (e10)) -> ((op1 (e11) (e10)) = (e13)) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> False).
% 49.38/49.53 do 0 intro. intros zenon_Hfd zenon_Hc7 zenon_H1f zenon_H6c zenon_Hae zenon_Hab zenon_H9e zenon_H99 zenon_H9a zenon_Hdc zenon_H111 zenon_H36b zenon_H40 zenon_H23 zenon_H11d zenon_H2d zenon_H135 zenon_H187 zenon_H15f zenon_H76 zenon_H11e zenon_H117 zenon_H160 zenon_H4f zenon_H4e zenon_H190 zenon_H35d zenon_H353 zenon_H180 zenon_H146 zenon_H151 zenon_H161 zenon_H33 zenon_H58 zenon_H113 zenon_H185 zenon_Hea zenon_H37f zenon_H387 zenon_H11b zenon_H368 zenon_He0 zenon_H365 zenon_H377 zenon_H18 zenon_H122 zenon_H13a zenon_H3a zenon_Hd6 zenon_H82 zenon_H96 zenon_H60 zenon_H2c zenon_Hd9 zenon_H20 zenon_H24 zenon_H8b zenon_Hfa zenon_H8c.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hfe ].
% 49.38/49.53 apply (zenon_L7_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hff ].
% 49.38/49.53 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H57 | zenon_intro zenon_Hda ].
% 49.38/49.53 apply (zenon_L639_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H81 | zenon_intro zenon_Hdb ].
% 49.38/49.53 apply (zenon_L26_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H89 | zenon_intro zenon_Haf ].
% 49.38/49.53 apply (zenon_L28_); trivial.
% 49.38/49.53 apply (zenon_L637_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H89 | zenon_intro zenon_Hfb ].
% 49.38/49.53 apply (zenon_L28_); trivial.
% 49.38/49.53 apply (zenon_L54_); trivial.
% 49.38/49.53 (* end of lemma zenon_L640_ *)
% 49.38/49.53 assert (zenon_L641_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e11)) = (e11)) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((op1 (e12) (e10)) = (e11)) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> ((op1 (e10) (e10)) = (e12)) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False).
% 49.38/49.53 do 0 intro. intros zenon_H37b zenon_H371 zenon_H16a zenon_H178 zenon_H43 zenon_H16b zenon_H4a zenon_H182 zenon_H15e zenon_H17a zenon_H2d zenon_H67 zenon_H377 zenon_H4e zenon_Hf7 zenon_H58 zenon_H11d zenon_H15a zenon_Hfd zenon_H63 zenon_H154 zenon_He0 zenon_H360 zenon_H126 zenon_H122 zenon_H7b zenon_H111 zenon_H142 zenon_H36b zenon_H96 zenon_H76 zenon_H368 zenon_Hd6 zenon_H13f zenon_H11e zenon_H99 zenon_H155 zenon_H113 zenon_H161 zenon_H15f zenon_H190 zenon_H353 zenon_H362 zenon_H35d zenon_H185 zenon_Hd9 zenon_H146 zenon_H151 zenon_H18d zenon_H16c zenon_H187 zenon_H108 zenon_H82 zenon_H23 zenon_H40 zenon_H10b zenon_H72 zenon_H160 zenon_H18 zenon_H19 zenon_H180 zenon_H365 zenon_H36e zenon_H173 zenon_H4f zenon_H135 zenon_Hae zenon_H18e zenon_H38e zenon_H8b zenon_H12b zenon_Hc7 zenon_Hfa zenon_Hea zenon_H37f zenon_H387 zenon_H9e zenon_H13a zenon_H6c zenon_H117 zenon_H391 zenon_H33 zenon_H24 zenon_H1f zenon_H20 zenon_H3a.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H25 | zenon_intro zenon_H114 ].
% 49.38/49.53 apply (zenon_L4_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H54 | zenon_intro zenon_H115 ].
% 49.38/49.53 apply (zenon_L113_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H57 | zenon_intro zenon_H8c ].
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H25 | zenon_intro zenon_H41 ].
% 49.38/49.53 apply (zenon_L4_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H2c | zenon_intro zenon_H42 ].
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H2b | zenon_intro zenon_H163 ].
% 49.38/49.53 apply (zenon_L6_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H60 | zenon_intro zenon_H164 ].
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H5b | zenon_intro zenon_H165 ].
% 49.38/49.53 apply (zenon_L18_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H61 | zenon_intro zenon_H166 ].
% 49.38/49.53 apply (zenon_L19_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H64 | zenon_intro zenon_Hab ].
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H73 | zenon_intro zenon_H167 ].
% 49.38/49.53 apply (zenon_L23_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H75 | zenon_intro zenon_H168 ].
% 49.38/49.53 apply (zenon_L24_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H9a | zenon_intro zenon_Hde ].
% 49.38/49.53 apply (zenon_L68_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ].
% 49.38/49.53 apply (zenon_L113_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ].
% 49.38/49.53 apply (zenon_L25_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ].
% 49.38/49.53 apply (zenon_L593_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_He4 | zenon_intro zenon_H10c ].
% 49.38/49.53 apply (zenon_L69_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H9a | zenon_intro zenon_H10d ].
% 49.38/49.53 apply (zenon_L68_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H101 | zenon_intro zenon_H9b ].
% 49.38/49.53 apply (zenon_L57_); trivial.
% 49.38/49.53 apply (zenon_L597_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H73 | zenon_intro zenon_H167 ].
% 49.38/49.53 apply (zenon_L23_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H75 | zenon_intro zenon_H168 ].
% 49.38/49.53 apply (zenon_L24_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H9a | zenon_intro zenon_Hde ].
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ].
% 49.38/49.53 apply (zenon_L113_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ].
% 49.38/49.53 apply (zenon_L25_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ].
% 49.38/49.53 apply (zenon_L615_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hfe ].
% 49.38/49.53 apply (zenon_L7_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hff ].
% 49.38/49.53 apply (zenon_L615_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H89 | zenon_intro zenon_Hfb ].
% 49.38/49.53 apply (zenon_L618_); trivial.
% 49.38/49.53 apply (zenon_L619_); trivial.
% 49.38/49.53 apply (zenon_L43_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_He1 | zenon_intro zenon_He7 ].
% 49.38/49.53 apply (zenon_L44_); trivial.
% 49.38/49.53 apply (zenon_L621_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H39 ].
% 49.38/49.53 apply (zenon_L7_); trivial.
% 49.38/49.53 apply (zenon_L8_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H25 | zenon_intro zenon_H41 ].
% 49.38/49.53 apply (zenon_L4_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H2c | zenon_intro zenon_H42 ].
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H2b | zenon_intro zenon_H163 ].
% 49.38/49.53 apply (zenon_L6_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H60 | zenon_intro zenon_H164 ].
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H5b | zenon_intro zenon_H165 ].
% 49.38/49.53 apply (zenon_L18_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H61 | zenon_intro zenon_H166 ].
% 49.38/49.53 apply (zenon_L19_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H64 | zenon_intro zenon_Hab ].
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H73 | zenon_intro zenon_H167 ].
% 49.38/49.53 apply (zenon_L23_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H75 | zenon_intro zenon_H168 ].
% 49.38/49.53 apply (zenon_L24_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H9a | zenon_intro zenon_Hde ].
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ].
% 49.38/49.53 apply (zenon_L574_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ].
% 49.38/49.53 apply (zenon_L25_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ].
% 49.38/49.53 apply (zenon_L634_); trivial.
% 49.38/49.53 apply (zenon_L635_); trivial.
% 49.38/49.53 apply (zenon_L569_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H73 | zenon_intro zenon_H167 ].
% 49.38/49.53 apply (zenon_L23_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H75 | zenon_intro zenon_H168 ].
% 49.38/49.53 apply (zenon_L24_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H9a | zenon_intro zenon_Hde ].
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ].
% 49.38/49.53 apply (zenon_L113_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ].
% 49.38/49.53 apply (zenon_L25_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ].
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H56 | zenon_intro zenon_H158 ].
% 49.38/49.53 apply (zenon_L625_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H64 | zenon_intro zenon_H159 ].
% 49.38/49.53 apply (zenon_L634_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H13d | zenon_intro zenon_H11b ].
% 49.38/49.53 apply (zenon_L636_); trivial.
% 49.38/49.53 apply (zenon_L630_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H56 | zenon_intro zenon_H158 ].
% 49.38/49.53 apply (zenon_L21_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H64 | zenon_intro zenon_H159 ].
% 49.38/49.53 apply (zenon_L638_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H13d | zenon_intro zenon_H11b ].
% 49.38/49.53 apply (zenon_L636_); trivial.
% 49.38/49.53 apply (zenon_L640_); trivial.
% 49.38/49.53 apply (zenon_L43_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_He1 | zenon_intro zenon_He7 ].
% 49.38/49.53 apply (zenon_L44_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H17 | zenon_intro zenon_H191 ].
% 49.38/49.53 apply (zenon_L14_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H60 | zenon_intro zenon_H192 ].
% 49.38/49.53 apply (zenon_L581_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H188 | zenon_intro zenon_H18b ].
% 49.38/49.53 apply (zenon_L140_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ].
% 49.38/49.53 apply (zenon_L574_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ].
% 49.38/49.53 apply (zenon_L25_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ].
% 49.38/49.53 apply (zenon_L633_); trivial.
% 49.38/49.53 apply (zenon_L504_); trivial.
% 49.38/49.53 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H39 ].
% 49.38/49.53 apply (zenon_L7_); trivial.
% 49.38/49.53 apply (zenon_L8_); trivial.
% 49.38/49.53 (* end of lemma zenon_L641_ *)
% 49.38/49.53 assert (zenon_L642_ : ((op1 (e12) (e10)) = (e11)) -> ((op1 (e12) (e10)) = (e12)) -> (~((e11) = (e12))) -> False).
% 49.38/49.53 do 0 intro. intros zenon_H353 zenon_H394 zenon_H96.
% 49.38/49.53 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H77 | zenon_intro zenon_H48 ].
% 49.38/49.53 cut (((e12) = (e12)) = ((e11) = (e12))).
% 49.38/49.53 intro zenon_D_pnotp.
% 49.38/49.53 apply zenon_H96.
% 49.38/49.53 rewrite <- zenon_D_pnotp.
% 49.38/49.53 exact zenon_H77.
% 49.38/49.53 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H48].
% 49.38/49.53 cut (((e12) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H97].
% 49.38/49.53 congruence.
% 49.38/49.53 cut (((op1 (e12) (e10)) = (e11)) = ((e12) = (e11))).
% 49.38/49.53 intro zenon_D_pnotp.
% 49.38/49.53 apply zenon_H97.
% 49.38/49.53 rewrite <- zenon_D_pnotp.
% 49.38/49.53 exact zenon_H353.
% 49.38/49.53 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H51].
% 49.38/49.53 cut (((op1 (e12) (e10)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H395].
% 49.38/49.53 congruence.
% 49.38/49.53 exact (zenon_H395 zenon_H394).
% 49.38/49.53 apply zenon_H51. apply refl_equal.
% 49.38/49.53 apply zenon_H48. apply refl_equal.
% 49.38/49.53 apply zenon_H48. apply refl_equal.
% 49.38/49.53 (* end of lemma zenon_L642_ *)
% 49.38/49.53 assert (zenon_L643_ : (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e13) (e10)) = (e12)) -> ((op1 (e11) (e11)) = (e10)) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((e10) = (e12))) -> False).
% 49.38/49.54 do 0 intro. intros zenon_H160 zenon_H3a zenon_H92 zenon_H60 zenon_He4 zenon_H63 zenon_He7 zenon_H76.
% 49.38/49.54 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H73 | zenon_intro zenon_H167 ].
% 49.38/49.54 apply (zenon_L553_); trivial.
% 49.38/49.54 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H75 | zenon_intro zenon_H168 ].
% 49.38/49.54 apply (zenon_L24_); trivial.
% 49.38/49.54 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H9a | zenon_intro zenon_Hde ].
% 49.38/49.54 apply (zenon_L490_); trivial.
% 49.38/49.54 apply (zenon_L505_); trivial.
% 49.38/49.54 (* end of lemma zenon_L643_ *)
% 49.38/49.54 assert (zenon_L644_ : (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((e10) = (e12))) -> ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e13)) = (e10)) -> ((op1 (e10) (e13)) = (e13)) -> (~((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 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((e10) = (e13))) -> False).
% 49.38/49.54 do 0 intro. intros zenon_H190 zenon_H19 zenon_H18 zenon_H76 zenon_H92 zenon_H3a zenon_H160 zenon_H187 zenon_H154 zenon_Hfa zenon_H18d zenon_H33 zenon_Hfd zenon_H7b zenon_Hae zenon_H24 zenon_H1f zenon_H6c zenon_H18e zenon_He7 zenon_H8c zenon_H9e zenon_H108 zenon_He0 zenon_H99 zenon_He4 zenon_H63 zenon_H20 zenon_H82 zenon_H4f zenon_H122 zenon_H126 zenon_H8b zenon_H111 zenon_Hd9 zenon_H2d.
% 49.38/49.54 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H17 | zenon_intro zenon_H191 ].
% 49.38/49.54 apply (zenon_L2_); trivial.
% 49.38/49.54 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H60 | zenon_intro zenon_H192 ].
% 49.38/49.54 apply (zenon_L643_); trivial.
% 49.38/49.54 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H188 | zenon_intro zenon_H18b ].
% 49.38/49.54 apply (zenon_L140_); trivial.
% 49.38/49.54 apply (zenon_L578_); trivial.
% 49.38/49.54 (* end of lemma zenon_L644_ *)
% 49.38/49.54 assert (zenon_L645_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e11) = (e13))) -> ((op1 (e10) (e11)) = (e11)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((e10) = (e13))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((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 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e13) (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) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e13) (e10)) = (e12)) -> (~((e10) = (e12))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False).
% 49.38/49.54 do 0 intro. intros zenon_H113 zenon_H58 zenon_H4e zenon_H40 zenon_H23 zenon_H2d zenon_Hd9 zenon_H111 zenon_H8b zenon_H126 zenon_H122 zenon_H4f zenon_H82 zenon_H63 zenon_He4 zenon_H99 zenon_He0 zenon_H108 zenon_H9e zenon_H18e zenon_H6c zenon_Hae zenon_H7b zenon_Hfd zenon_H18d zenon_Hfa zenon_H154 zenon_H187 zenon_H160 zenon_H92 zenon_H76 zenon_H18 zenon_H19 zenon_H190 zenon_H387 zenon_H37f zenon_Hea zenon_H185 zenon_H161 zenon_H33 zenon_H24 zenon_H1f zenon_H20 zenon_H3a.
% 49.38/49.54 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H25 | zenon_intro zenon_H114 ].
% 49.38/49.54 apply (zenon_L4_); trivial.
% 49.38/49.54 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H54 | zenon_intro zenon_H115 ].
% 49.38/49.54 apply (zenon_L113_); trivial.
% 49.38/49.54 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H57 | zenon_intro zenon_H8c ].
% 49.38/49.54 apply (zenon_L69_); trivial.
% 49.38/49.54 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H25 | zenon_intro zenon_H41 ].
% 49.38/49.54 apply (zenon_L4_); trivial.
% 49.38/49.54 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H2c | zenon_intro zenon_H42 ].
% 49.38/49.54 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H2b | zenon_intro zenon_H163 ].
% 49.38/49.54 apply (zenon_L6_); trivial.
% 49.38/49.54 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H60 | zenon_intro zenon_H164 ].
% 49.38/49.54 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H73 | zenon_intro zenon_H167 ].
% 49.38/49.54 apply (zenon_L553_); trivial.
% 49.38/49.54 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H75 | zenon_intro zenon_H168 ].
% 49.38/49.54 apply (zenon_L24_); trivial.
% 49.38/49.54 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H9a | zenon_intro zenon_Hde ].
% 49.38/49.54 apply (zenon_L490_); trivial.
% 49.38/49.54 apply (zenon_L569_); trivial.
% 49.38/49.54 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_He1 | zenon_intro zenon_He7 ].
% 49.38/49.54 apply (zenon_L44_); trivial.
% 49.38/49.54 apply (zenon_L644_); trivial.
% 49.38/49.54 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H39 ].
% 49.38/49.54 apply (zenon_L7_); trivial.
% 49.38/49.54 apply (zenon_L8_); trivial.
% 49.38/49.54 (* end of lemma zenon_L645_ *)
% 49.38/49.54 assert (zenon_L646_ : (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((e11) = (e12))) -> ((op1 (e12) (e10)) = (e11)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e11) = (e13))) -> ((op1 (e10) (e11)) = (e11)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((e10) = (e13))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((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 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e13) (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) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((e10) = (e12))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False).
% 49.38/49.54 do 0 intro. intros zenon_H396 zenon_H67 zenon_H16b zenon_H43 zenon_H16a zenon_H15e zenon_H36e zenon_H173 zenon_H10b zenon_H142 zenon_H368 zenon_H13f zenon_H11e zenon_H371 zenon_H36b zenon_Hc7 zenon_H11d zenon_H135 zenon_H35d zenon_H117 zenon_H180 zenon_H151 zenon_H37b zenon_H4a zenon_H146 zenon_H182 zenon_H365 zenon_H377 zenon_H13a zenon_Hf7 zenon_H360 zenon_H155 zenon_H16c zenon_H15a zenon_H362 zenon_H12b zenon_Hd6 zenon_H15f zenon_H96 zenon_H353 zenon_H113 zenon_H58 zenon_H4e zenon_H40 zenon_H23 zenon_H2d zenon_Hd9 zenon_H111 zenon_H8b zenon_H126 zenon_H122 zenon_H4f zenon_H82 zenon_H63 zenon_He4 zenon_H99 zenon_He0 zenon_H108 zenon_H9e zenon_H18e zenon_H6c zenon_Hae zenon_H7b zenon_Hfd zenon_H18d zenon_Hfa zenon_H154 zenon_H187 zenon_H160 zenon_H76 zenon_H18 zenon_H19 zenon_H190 zenon_H387 zenon_H37f zenon_Hea zenon_H185 zenon_H161 zenon_H33 zenon_H24 zenon_H1f zenon_H20 zenon_H3a.
% 49.38/49.54 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H72 | zenon_intro zenon_H397 ].
% 49.38/49.54 apply (zenon_L582_); trivial.
% 49.38/49.54 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H73 | zenon_intro zenon_H398 ].
% 49.38/49.54 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H25 | zenon_intro zenon_H114 ].
% 49.38/49.54 apply (zenon_L4_); trivial.
% 49.38/49.54 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H54 | zenon_intro zenon_H115 ].
% 49.38/49.54 apply (zenon_L113_); trivial.
% 49.38/49.54 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H57 | zenon_intro zenon_H8c ].
% 49.38/49.54 apply (zenon_L69_); trivial.
% 49.38/49.54 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H25 | zenon_intro zenon_H41 ].
% 49.38/49.54 apply (zenon_L4_); trivial.
% 49.38/49.54 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H2c | zenon_intro zenon_H42 ].
% 49.38/49.54 apply (zenon_L579_); trivial.
% 49.38/49.54 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H39 ].
% 49.38/49.54 apply (zenon_L7_); trivial.
% 49.38/49.54 apply (zenon_L8_); trivial.
% 49.38/49.54 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H394 | zenon_intro zenon_H92 ].
% 49.38/49.54 apply (zenon_L642_); trivial.
% 49.38/49.54 apply (zenon_L645_); trivial.
% 49.38/49.54 (* end of lemma zenon_L646_ *)
% 49.38/49.54 assert (zenon_L647_ : (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((e10) = (e11))) -> ((op1 (e11) (e13)) = (e10)) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e10) (e10)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((e10) = (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) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((e10) = (e13))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> False).
% 49.38/49.54 do 0 intro. intros zenon_H190 zenon_H19 zenon_H18 zenon_H4f zenon_He7 zenon_H160 zenon_H72 zenon_H23 zenon_H99 zenon_H117 zenon_H11e zenon_H76 zenon_H33 zenon_H15f zenon_H187 zenon_H135 zenon_H3a zenon_H2d zenon_H57 zenon_H11d zenon_H387 zenon_H37f zenon_Hea zenon_H110 zenon_Hfa zenon_H24 zenon_H2c zenon_H20 zenon_H1f zenon_Hc7.
% 49.38/49.54 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H17 | zenon_intro zenon_H191 ].
% 49.38/49.54 apply (zenon_L2_); trivial.
% 49.38/49.54 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H60 | zenon_intro zenon_H192 ].
% 49.38/49.54 apply (zenon_L620_); trivial.
% 49.38/49.54 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H188 | zenon_intro zenon_H18b ].
% 49.38/49.54 apply (zenon_L140_); trivial.
% 49.38/49.54 apply (zenon_L561_); trivial.
% 49.38/49.54 (* end of lemma zenon_L647_ *)
% 49.38/49.54 assert (zenon_L648_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((e10) = (e12))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e10) (e10)) = (e12)) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((e10) = (e11))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False).
% 49.38/49.54 do 0 intro. intros zenon_H40 zenon_Hc7 zenon_Hfa zenon_H110 zenon_Hea zenon_H37f zenon_H387 zenon_H11d zenon_H57 zenon_H2d zenon_H135 zenon_H187 zenon_H15f zenon_H76 zenon_H11e zenon_H117 zenon_H99 zenon_H23 zenon_H72 zenon_H160 zenon_H4f zenon_H18 zenon_H19 zenon_H190 zenon_He0 zenon_H35d zenon_H377 zenon_H353 zenon_H180 zenon_H146 zenon_H111 zenon_H151 zenon_H161 zenon_H33 zenon_H24 zenon_H1f zenon_H20 zenon_H3a.
% 49.38/49.54 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H25 | zenon_intro zenon_H41 ].
% 49.38/49.54 apply (zenon_L4_); trivial.
% 49.38/49.54 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H2c | zenon_intro zenon_H42 ].
% 49.38/49.54 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H2b | zenon_intro zenon_H163 ].
% 49.38/49.54 apply (zenon_L6_); trivial.
% 49.38/49.54 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H60 | zenon_intro zenon_H164 ].
% 49.38/49.54 apply (zenon_L565_); trivial.
% 49.38/49.54 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_He1 | zenon_intro zenon_He7 ].
% 49.38/49.54 apply (zenon_L44_); trivial.
% 49.38/49.54 apply (zenon_L647_); trivial.
% 49.38/49.54 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H39 ].
% 49.38/49.54 apply (zenon_L7_); trivial.
% 49.38/49.54 apply (zenon_L8_); trivial.
% 49.38/49.54 (* end of lemma zenon_L648_ *)
% 49.38/49.54 assert (zenon_L649_ : (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e12) (e10)) = (e11)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((op1 (e10) (e11)) = (e11)) -> (~((e10) = (e11))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((e10) = (e12))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> ((op1 (e10) (e13)) = (e12)) -> (~((e12) = (e13))) -> False).
% 49.38/49.54 do 0 intro. intros zenon_H396 zenon_H377 zenon_H18 zenon_H37b zenon_H19 zenon_H4a zenon_H96 zenon_H113 zenon_H58 zenon_H3a zenon_H20 zenon_H1f zenon_H24 zenon_H33 zenon_H161 zenon_H151 zenon_H146 zenon_H180 zenon_H353 zenon_H35d zenon_He0 zenon_H190 zenon_H4e zenon_H4f zenon_H160 zenon_H99 zenon_H117 zenon_H11e zenon_H76 zenon_H15f zenon_H187 zenon_H135 zenon_H2d zenon_H11d zenon_H387 zenon_H37f zenon_Hea zenon_Hfa zenon_Hc7 zenon_H23 zenon_H40 zenon_H110 zenon_H111.
% 49.38/49.54 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H72 | zenon_intro zenon_H397 ].
% 49.38/49.54 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H25 | zenon_intro zenon_H114 ].
% 49.38/49.54 apply (zenon_L4_); trivial.
% 49.38/49.54 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H54 | zenon_intro zenon_H115 ].
% 49.38/49.54 apply (zenon_L113_); trivial.
% 49.38/49.54 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H57 | zenon_intro zenon_H8c ].
% 49.38/49.54 apply (zenon_L648_); trivial.
% 49.38/49.54 apply (zenon_L63_); trivial.
% 49.38/49.54 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H73 | zenon_intro zenon_H398 ].
% 49.38/49.54 apply (zenon_L567_); trivial.
% 49.38/49.54 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H394 | zenon_intro zenon_H92 ].
% 49.38/49.54 apply (zenon_L642_); trivial.
% 49.38/49.54 apply (zenon_L606_); trivial.
% 49.38/49.54 (* end of lemma zenon_L649_ *)
% 49.38/49.54 assert (zenon_L650_ : (~((e12) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((e10) = (e12))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((e10) = (e11))) -> ((op1 (e10) (e11)) = (e11)) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (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 (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 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (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))))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> False).
% 49.38/49.54 do 0 intro. intros zenon_H111 zenon_H40 zenon_H23 zenon_Hc7 zenon_Hfa zenon_Hea zenon_H37f zenon_H387 zenon_H11d zenon_H2d zenon_H135 zenon_H187 zenon_H15f zenon_H76 zenon_H11e zenon_H117 zenon_H99 zenon_H160 zenon_H4f zenon_H4e zenon_H190 zenon_He0 zenon_H35d zenon_H180 zenon_H146 zenon_H151 zenon_H161 zenon_H33 zenon_H24 zenon_H3a zenon_H58 zenon_H113 zenon_H96 zenon_H4a zenon_H19 zenon_H37b zenon_H18 zenon_H377 zenon_H396 zenon_H67 zenon_H16b zenon_H43 zenon_H16a zenon_H15e zenon_H36e zenon_H173 zenon_H10b zenon_H142 zenon_H368 zenon_H13f zenon_H371 zenon_H36b zenon_H182 zenon_H365 zenon_H13a zenon_Hf7 zenon_H360 zenon_H155 zenon_H16c zenon_H15a zenon_H362 zenon_H12b zenon_Hd6 zenon_Hd9 zenon_H8b zenon_H126 zenon_H82 zenon_H63 zenon_H108 zenon_H9e zenon_H18e zenon_H6c zenon_Hae zenon_H7b zenon_Hfd zenon_H18d zenon_H154 zenon_H185 zenon_H178 zenon_H17a zenon_H38e zenon_H391 zenon_H20 zenon_H1f zenon_H122.
% 49.38/49.54 apply (zenon_or_s _ _ zenon_H371); [ zenon_intro zenon_H4b | zenon_intro zenon_H372 ].
% 49.38/49.54 apply (zenon_L13_); trivial.
% 49.38/49.54 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H5b | zenon_intro zenon_H373 ].
% 49.38/49.54 apply (zenon_L18_); trivial.
% 49.38/49.54 apply (zenon_or_s _ _ zenon_H373); [ zenon_intro zenon_H353 | zenon_intro zenon_H121 ].
% 49.38/49.54 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H72 | zenon_intro zenon_H162 ].
% 49.38/49.54 apply (zenon_L641_); trivial.
% 49.38/49.54 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H10e | zenon_intro zenon_H169 ].
% 49.38/49.54 apply (zenon_L142_); trivial.
% 49.38/49.54 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_He4 | zenon_intro zenon_H110 ].
% 49.38/49.54 apply (zenon_L646_); trivial.
% 49.38/49.54 apply (zenon_L649_); trivial.
% 49.38/49.54 apply (zenon_L70_); trivial.
% 49.38/49.54 (* end of lemma zenon_L650_ *)
% 49.38/49.54 assert (zenon_L651_ : (~((h3 (e11)) = (e21))) -> ((h3 (e11)) = (op2 (e22) (op2 (e22) (e22)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> False).
% 49.38/49.54 do 0 intro. intros zenon_H399 zenon_H39a zenon_H19b.
% 49.38/49.54 cut (((h3 (e11)) = (op2 (e22) (op2 (e22) (e22)))) = ((h3 (e11)) = (e21))).
% 49.38/49.54 intro zenon_D_pnotp.
% 49.38/49.54 apply zenon_H399.
% 49.38/49.54 rewrite <- zenon_D_pnotp.
% 49.38/49.54 exact zenon_H39a.
% 49.38/49.54 cut (((op2 (e22) (op2 (e22) (e22))) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H19c].
% 49.38/49.54 cut (((h3 (e11)) = (h3 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H39b].
% 49.38/49.54 congruence.
% 49.38/49.54 apply zenon_H39b. apply refl_equal.
% 49.38/49.54 apply zenon_H19c. apply sym_equal. exact zenon_H19b.
% 49.38/49.54 (* end of lemma zenon_L651_ *)
% 49.38/49.54 assert (zenon_L652_ : (~((h3 (op1 (e10) (e11))) = (op2 (h3 (e10)) (h3 (e11))))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op1 (e10) (e11)) = (e13)) -> ((op2 (e20) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e10)) = (op2 (e22) (e22))) -> ((e20) = (op2 (e22) (e22))) -> ((h3 (e11)) = (op2 (e22) (op2 (e22) (e22)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> False).
% 49.38/49.54 do 0 intro. intros zenon_H39c zenon_H39d zenon_H54 zenon_H1ce zenon_H19e zenon_H13 zenon_H14 zenon_H39a zenon_H19b.
% 49.38/49.54 cut (((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) = ((h3 (op1 (e10) (e11))) = (op2 (h3 (e10)) (h3 (e11))))).
% 49.38/49.54 intro zenon_D_pnotp.
% 49.38/49.54 apply zenon_H39c.
% 49.38/49.54 rewrite <- zenon_D_pnotp.
% 49.38/49.54 exact zenon_H39d.
% 49.38/49.54 cut (((op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22))) = (op2 (h3 (e10)) (h3 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H39e].
% 49.38/49.54 cut (((h3 (e13)) = (h3 (op1 (e10) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H39f].
% 49.38/49.54 congruence.
% 49.38/49.54 elim (classic ((h3 (op1 (e10) (e11))) = (h3 (op1 (e10) (e11))))); [ zenon_intro zenon_H3a0 | zenon_intro zenon_H3a1 ].
% 49.38/49.54 cut (((h3 (op1 (e10) (e11))) = (h3 (op1 (e10) (e11)))) = ((h3 (e13)) = (h3 (op1 (e10) (e11))))).
% 49.38/49.54 intro zenon_D_pnotp.
% 49.38/49.54 apply zenon_H39f.
% 49.38/49.54 rewrite <- zenon_D_pnotp.
% 49.38/49.54 exact zenon_H3a0.
% 49.38/49.54 cut (((h3 (op1 (e10) (e11))) = (h3 (op1 (e10) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3a1].
% 49.38/49.54 cut (((h3 (op1 (e10) (e11))) = (h3 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H3a2].
% 49.38/49.54 congruence.
% 49.38/49.54 cut (((op1 (e10) (e11)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H55].
% 49.38/49.54 congruence.
% 49.38/49.54 exact (zenon_H55 zenon_H54).
% 49.38/49.54 apply zenon_H3a1. apply refl_equal.
% 49.38/49.54 apply zenon_H3a1. apply refl_equal.
% 49.38/49.54 elim (classic ((op2 (h3 (e10)) (h3 (e11))) = (op2 (h3 (e10)) (h3 (e11))))); [ zenon_intro zenon_H3a3 | zenon_intro zenon_H3a4 ].
% 49.38/49.54 cut (((op2 (h3 (e10)) (h3 (e11))) = (op2 (h3 (e10)) (h3 (e11)))) = ((op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22))) = (op2 (h3 (e10)) (h3 (e11))))).
% 49.38/49.54 intro zenon_D_pnotp.
% 49.38/49.54 apply zenon_H39e.
% 49.38/49.54 rewrite <- zenon_D_pnotp.
% 49.38/49.54 exact zenon_H3a3.
% 49.38/49.54 cut (((op2 (h3 (e10)) (h3 (e11))) = (op2 (h3 (e10)) (h3 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3a4].
% 49.38/49.54 cut (((op2 (h3 (e10)) (h3 (e11))) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H3a5].
% 49.38/49.54 congruence.
% 49.38/49.54 cut (((op2 (e20) (e21)) = (e23)) = ((op2 (h3 (e10)) (h3 (e11))) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22))))).
% 49.38/49.54 intro zenon_D_pnotp.
% 49.38/49.54 apply zenon_H3a5.
% 49.38/49.54 rewrite <- zenon_D_pnotp.
% 49.38/49.54 exact zenon_H1ce.
% 49.38/49.54 cut (((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H3a6].
% 49.38/49.54 cut (((op2 (e20) (e21)) = (op2 (h3 (e10)) (h3 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3a7].
% 49.38/49.54 congruence.
% 49.38/49.54 elim (classic ((op2 (h3 (e10)) (h3 (e11))) = (op2 (h3 (e10)) (h3 (e11))))); [ zenon_intro zenon_H3a3 | zenon_intro zenon_H3a4 ].
% 49.38/49.54 cut (((op2 (h3 (e10)) (h3 (e11))) = (op2 (h3 (e10)) (h3 (e11)))) = ((op2 (e20) (e21)) = (op2 (h3 (e10)) (h3 (e11))))).
% 49.38/49.54 intro zenon_D_pnotp.
% 49.38/49.54 apply zenon_H3a7.
% 49.38/49.54 rewrite <- zenon_D_pnotp.
% 49.38/49.54 exact zenon_H3a3.
% 49.38/49.54 cut (((op2 (h3 (e10)) (h3 (e11))) = (op2 (h3 (e10)) (h3 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3a4].
% 49.38/49.54 cut (((op2 (h3 (e10)) (h3 (e11))) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H3a8].
% 49.38/49.54 congruence.
% 49.38/49.54 cut (((h3 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H399].
% 49.38/49.54 cut (((h3 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H12].
% 49.38/49.54 congruence.
% 49.38/49.54 apply (zenon_L1_); trivial.
% 49.38/49.54 apply (zenon_L651_); trivial.
% 49.38/49.54 apply zenon_H3a4. apply refl_equal.
% 49.38/49.54 apply zenon_H3a4. apply refl_equal.
% 49.38/49.54 exact (zenon_H3a6 zenon_H19e).
% 49.38/49.54 apply zenon_H3a4. apply refl_equal.
% 49.38/49.54 apply zenon_H3a4. apply refl_equal.
% 49.38/49.54 (* end of lemma zenon_L652_ *)
% 49.38/49.54 assert (zenon_L653_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e10) (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) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((e11) = (e12))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False).
% 49.38/49.54 do 0 intro. intros zenon_H40 zenon_H23 zenon_H82 zenon_H99 zenon_H63 zenon_H56 zenon_He0 zenon_H108 zenon_Hd9 zenon_H8c zenon_H8b zenon_Hfd zenon_Hae zenon_H6c zenon_H9e zenon_Hea zenon_H4f zenon_H58 zenon_Hf7 zenon_Hfa zenon_H96 zenon_H10b zenon_H15f zenon_H16c zenon_H67 zenon_H160 zenon_H13a zenon_H122 zenon_H18 zenon_H377 zenon_H365 zenon_H180 zenon_H35d zenon_Hc7 zenon_H76 zenon_Hd6 zenon_H117 zenon_H18e zenon_H7b zenon_H18d zenon_H154 zenon_H2d zenon_H161 zenon_H33 zenon_H24 zenon_H1f zenon_H20 zenon_H3a.
% 49.38/49.54 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H25 | zenon_intro zenon_H41 ].
% 49.38/49.54 apply (zenon_L4_); trivial.
% 49.38/49.54 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H2c | zenon_intro zenon_H42 ].
% 49.38/49.54 apply (zenon_L626_); trivial.
% 49.38/49.54 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H39 ].
% 49.38/49.54 apply (zenon_L7_); trivial.
% 49.38/49.54 apply (zenon_L8_); trivial.
% 49.38/49.54 (* end of lemma zenon_L653_ *)
% 49.38/49.54 assert (zenon_L654_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (e22) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((h3 (e10)) = (op2 (e22) (e22))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e20) (e21)) = (e23)) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((h3 (op1 (e10) (e11))) = (op2 (h3 (e10)) (h3 (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((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 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((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) (e10)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (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 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e11))) -> False).
% 49.38/49.54 do 0 intro. intros zenon_H3a9 zenon_H365 zenon_H36e zenon_H368 zenon_H36b zenon_H360 zenon_H35d zenon_H362 zenon_H371 zenon_H19b zenon_H39a zenon_H14 zenon_H13 zenon_H19e zenon_H1ce zenon_H39d zenon_H39c zenon_H377 zenon_H37f zenon_H387 zenon_H37b zenon_H396 zenon_H38e zenon_H391 zenon_H161 zenon_H13f zenon_H126 zenon_H122 zenon_H155 zenon_H9e zenon_Hfa zenon_Hf7 zenon_H19 zenon_H173 zenon_H16a zenon_H178 zenon_H40 zenon_H43 zenon_H16b zenon_H4a zenon_H111 zenon_H160 zenon_H182 zenon_H8b zenon_H12b zenon_H154 zenon_H7b zenon_H10b zenon_H142 zenon_H11e zenon_H3a zenon_H135 zenon_H13a zenon_H11d zenon_H117 zenon_H15e zenon_H2d zenon_H58 zenon_H190 zenon_H17a zenon_H82 zenon_H20 zenon_H24 zenon_Hd6 zenon_H76 zenon_H96 zenon_H99 zenon_H18e zenon_Hae zenon_Hea zenon_Hc7 zenon_H63 zenon_He0 zenon_H108 zenon_H185 zenon_Hd9 zenon_H151 zenon_H146 zenon_H15a zenon_H18d zenon_H33 zenon_Hfd zenon_H6c zenon_H67 zenon_H16c zenon_H15f zenon_H1f zenon_H187 zenon_H180 zenon_H23 zenon_H113 zenon_H4f.
% 49.38/49.54 apply (zenon_or_s _ _ zenon_H3a9); [ zenon_intro zenon_H18 | zenon_intro zenon_H3aa ].
% 49.38/49.54 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H4b | zenon_intro zenon_H16f ].
% 49.38/49.54 apply (zenon_L13_); trivial.
% 49.38/49.54 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H4e | zenon_intro zenon_H170 ].
% 49.38/49.54 apply (zenon_L650_); trivial.
% 49.38/49.54 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H56 | zenon_intro zenon_He6 ].
% 49.38/49.54 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H25 | zenon_intro zenon_H114 ].
% 49.38/49.54 apply (zenon_L4_); trivial.
% 49.38/49.54 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H54 | zenon_intro zenon_H115 ].
% 49.38/49.54 apply (zenon_L652_); trivial.
% 49.38/49.54 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H57 | zenon_intro zenon_H8c ].
% 49.38/49.54 apply (zenon_L17_); trivial.
% 49.38/49.54 apply (zenon_L653_); trivial.
% 49.38/49.54 apply (zenon_L550_); trivial.
% 49.38/49.54 apply (zenon_or_s _ _ zenon_H3aa); [ zenon_intro zenon_H17 | zenon_intro zenon_H3ab ].
% 49.38/49.54 apply (zenon_L110_); trivial.
% 49.38/49.54 apply (zenon_or_s _ _ zenon_H3ab); [ zenon_intro zenon_H174 | zenon_intro zenon_H177 ].
% 49.38/49.54 apply (zenon_L111_); trivial.
% 49.38/49.54 apply (zenon_L153_); trivial.
% 49.38/49.54 (* end of lemma zenon_L654_ *)
% 49.38/49.54 assert (zenon_L655_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> (~((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)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> ((op2 (e20) (e23)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((e20) = (e21))) -> (~((e21) = (e23))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((e21) = (e22))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((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)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((e20) = (e23))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False).
% 49.38/49.54 do 0 intro. intros zenon_H1ba zenon_H19d zenon_H1fc zenon_H213 zenon_H1dd zenon_H1d0 zenon_H25a zenon_H282 zenon_H253 zenon_H206 zenon_H205 zenon_H277 zenon_H228 zenon_H1e6 zenon_H218 zenon_H264 zenon_H1c9 zenon_H1d2 zenon_H271 zenon_H274 zenon_H210 zenon_H285 zenon_H2d9 zenon_H2e6 zenon_H1e1 zenon_H2da zenon_H2b4 zenon_H29c zenon_H194 zenon_H331 zenon_H31f zenon_H2fa zenon_H317 zenon_H241 zenon_H1f0 zenon_H250 zenon_H291 zenon_H308 zenon_H1f5 zenon_H307 zenon_H2ce zenon_H1a7 zenon_H2db zenon_H1ad zenon_H19e zenon_H14 zenon_H19b zenon_H1b4.
% 49.38/49.54 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ].
% 49.38/49.54 apply (zenon_L156_); trivial.
% 49.38/49.54 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ].
% 49.38/49.54 apply (zenon_L448_); trivial.
% 49.38/49.54 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ].
% 49.38/49.54 apply (zenon_L159_); trivial.
% 49.38/49.54 apply (zenon_L160_); trivial.
% 49.38/49.54 (* end of lemma zenon_L655_ *)
% 49.38/49.54 assert (zenon_L656_ : (~((h3 (e13)) = (e23))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> False).
% 49.38/49.54 do 0 intro. intros zenon_H3ac zenon_H39d zenon_H19e.
% 49.38/49.54 cut (((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) = ((h3 (e13)) = (e23))).
% 49.38/49.54 intro zenon_D_pnotp.
% 49.38/49.54 apply zenon_H3ac.
% 49.38/49.54 rewrite <- zenon_D_pnotp.
% 49.38/49.54 exact zenon_H39d.
% 49.38/49.54 cut (((op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22))) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H3ad].
% 49.38/49.54 cut (((h3 (e13)) = (h3 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H3ae].
% 49.38/49.54 congruence.
% 49.38/49.54 apply zenon_H3ae. apply refl_equal.
% 49.38/49.54 apply zenon_H3ad. apply sym_equal. exact zenon_H19e.
% 49.38/49.54 (* end of lemma zenon_L656_ *)
% 49.38/49.54 assert (zenon_L657_ : (~((h3 (op1 (e10) (e13))) = (op2 (h3 (e10)) (h3 (e13))))) -> ((h3 (e12)) = (e22)) -> ((op1 (e10) (e13)) = (e12)) -> ((op2 (e20) (e23)) = (e22)) -> ((h3 (e10)) = (op2 (e22) (e22))) -> ((e20) = (op2 (e22) (e22))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> False).
% 49.38/49.54 do 0 intro. intros zenon_H3af zenon_H3b0 zenon_H110 zenon_H28a zenon_H13 zenon_H14 zenon_H39d zenon_H19e.
% 49.38/49.54 cut (((h3 (e12)) = (e22)) = ((h3 (op1 (e10) (e13))) = (op2 (h3 (e10)) (h3 (e13))))).
% 49.38/49.54 intro zenon_D_pnotp.
% 49.38/49.54 apply zenon_H3af.
% 49.38/49.54 rewrite <- zenon_D_pnotp.
% 49.38/49.54 exact zenon_H3b0.
% 49.38/49.54 cut (((e22) = (op2 (h3 (e10)) (h3 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3b1].
% 49.38/49.54 cut (((h3 (e12)) = (h3 (op1 (e10) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3b2].
% 49.38/49.54 congruence.
% 49.38/49.54 elim (classic ((h3 (op1 (e10) (e13))) = (h3 (op1 (e10) (e13))))); [ zenon_intro zenon_H3b3 | zenon_intro zenon_H3b4 ].
% 49.38/49.54 cut (((h3 (op1 (e10) (e13))) = (h3 (op1 (e10) (e13)))) = ((h3 (e12)) = (h3 (op1 (e10) (e13))))).
% 49.38/49.54 intro zenon_D_pnotp.
% 49.38/49.54 apply zenon_H3b2.
% 49.38/49.54 rewrite <- zenon_D_pnotp.
% 49.38/49.54 exact zenon_H3b3.
% 49.38/49.54 cut (((h3 (op1 (e10) (e13))) = (h3 (op1 (e10) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3b4].
% 49.38/49.54 cut (((h3 (op1 (e10) (e13))) = (h3 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3b5].
% 49.38/49.54 congruence.
% 49.38/49.54 cut (((op1 (e10) (e13)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H15d].
% 49.38/49.54 congruence.
% 49.38/49.54 exact (zenon_H15d zenon_H110).
% 49.38/49.54 apply zenon_H3b4. apply refl_equal.
% 49.38/49.54 apply zenon_H3b4. apply refl_equal.
% 49.38/49.54 elim (classic ((op2 (h3 (e10)) (h3 (e13))) = (op2 (h3 (e10)) (h3 (e13))))); [ zenon_intro zenon_H3b6 | zenon_intro zenon_H3b7 ].
% 49.38/49.54 cut (((op2 (h3 (e10)) (h3 (e13))) = (op2 (h3 (e10)) (h3 (e13)))) = ((e22) = (op2 (h3 (e10)) (h3 (e13))))).
% 49.38/49.54 intro zenon_D_pnotp.
% 49.38/49.54 apply zenon_H3b1.
% 49.38/49.54 rewrite <- zenon_D_pnotp.
% 49.38/49.54 exact zenon_H3b6.
% 49.38/49.54 cut (((op2 (h3 (e10)) (h3 (e13))) = (op2 (h3 (e10)) (h3 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3b7].
% 49.38/49.54 cut (((op2 (h3 (e10)) (h3 (e13))) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H3b8].
% 49.38/49.54 congruence.
% 49.38/49.54 cut (((op2 (e20) (e23)) = (e22)) = ((op2 (h3 (e10)) (h3 (e13))) = (e22))).
% 49.38/49.54 intro zenon_D_pnotp.
% 49.38/49.54 apply zenon_H3b8.
% 49.38/49.54 rewrite <- zenon_D_pnotp.
% 49.38/49.54 exact zenon_H28a.
% 49.38/49.54 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1c2].
% 49.38/49.54 cut (((op2 (e20) (e23)) = (op2 (h3 (e10)) (h3 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3b9].
% 49.38/49.54 congruence.
% 49.38/49.54 elim (classic ((op2 (h3 (e10)) (h3 (e13))) = (op2 (h3 (e10)) (h3 (e13))))); [ zenon_intro zenon_H3b6 | zenon_intro zenon_H3b7 ].
% 49.38/49.54 cut (((op2 (h3 (e10)) (h3 (e13))) = (op2 (h3 (e10)) (h3 (e13)))) = ((op2 (e20) (e23)) = (op2 (h3 (e10)) (h3 (e13))))).
% 49.38/49.54 intro zenon_D_pnotp.
% 49.38/49.54 apply zenon_H3b9.
% 49.38/49.54 rewrite <- zenon_D_pnotp.
% 49.38/49.54 exact zenon_H3b6.
% 49.38/49.54 cut (((op2 (h3 (e10)) (h3 (e13))) = (op2 (h3 (e10)) (h3 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3b7].
% 49.38/49.54 cut (((op2 (h3 (e10)) (h3 (e13))) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H3ba].
% 49.38/49.54 congruence.
% 49.38/49.54 cut (((h3 (e13)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H3ac].
% 49.38/49.54 cut (((h3 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H12].
% 49.38/49.54 congruence.
% 49.38/49.54 apply (zenon_L1_); trivial.
% 49.38/49.54 apply (zenon_L656_); trivial.
% 49.38/49.54 apply zenon_H3b7. apply refl_equal.
% 49.38/49.54 apply zenon_H3b7. apply refl_equal.
% 49.38/49.54 apply zenon_H1c2. apply refl_equal.
% 49.38/49.54 apply zenon_H3b7. apply refl_equal.
% 49.38/49.54 apply zenon_H3b7. apply refl_equal.
% 49.38/49.54 (* end of lemma zenon_L657_ *)
% 49.38/49.54 assert (zenon_L658_ : (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e13) (e10)) = (e12)) -> ((op1 (e11) (e11)) = (e10)) -> (~((e11) = (e13))) -> ((op1 (e13) (e11)) = (e11)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e13)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((e10) = (e11))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> False).
% 49.38/49.54 do 0 intro. intros zenon_H160 zenon_H3a zenon_H92 zenon_H60 zenon_H58 zenon_H94 zenon_H35d zenon_Hc7 zenon_Hae zenon_Hab zenon_H99 zenon_H96 zenon_H76 zenon_Hd6 zenon_H8b zenon_H82 zenon_H56 zenon_Hd9 zenon_H4f zenon_H117 zenon_H9e zenon_He0 zenon_H6c zenon_H24 zenon_H18e zenon_H7b zenon_Hfd zenon_H33 zenon_H18d zenon_H154 zenon_H387 zenon_H37f zenon_Hea zenon_H1f zenon_H20 zenon_H185 zenon_Hfa zenon_H8c.
% 49.38/49.54 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H73 | zenon_intro zenon_H167 ].
% 49.38/49.54 apply (zenon_L553_); trivial.
% 49.38/49.54 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H75 | zenon_intro zenon_H168 ].
% 49.38/49.54 apply (zenon_L24_); trivial.
% 49.38/49.54 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H9a | zenon_intro zenon_Hde ].
% 49.38/49.54 apply (zenon_L624_); trivial.
% 49.38/49.54 apply (zenon_L569_); trivial.
% 49.38/49.54 (* end of lemma zenon_L658_ *)
% 49.38/49.54 assert (zenon_L659_ : (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (e11)) = (e10)) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((e10) = (e11))) -> False).
% 49.38/49.54 do 0 intro. intros zenon_H15f zenon_H1f zenon_H20 zenon_H33 zenon_H60 zenon_H56 zenon_H63 zenon_He7 zenon_H4f.
% 49.38/49.54 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H5b | zenon_intro zenon_H165 ].
% 49.38/49.54 apply (zenon_L18_); trivial.
% 49.38/49.54 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H61 | zenon_intro zenon_H166 ].
% 49.38/49.54 apply (zenon_L19_); trivial.
% 49.38/49.54 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H64 | zenon_intro zenon_Hab ].
% 49.38/49.54 apply (zenon_L20_); trivial.
% 49.38/49.54 apply (zenon_L47_); trivial.
% 49.38/49.54 (* end of lemma zenon_L659_ *)
% 49.38/49.54 assert (zenon_L660_ : ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e13)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e13)) = (e11)) -> ((op1 (e13) (e12)) = (e13)) -> False).
% 49.38/49.54 do 0 intro. intros zenon_H54 zenon_H15a zenon_He0 zenon_H9a zenon_Hea zenon_H1f zenon_Hfb zenon_H24 zenon_Hae zenon_Hf3 zenon_Haf.
% 49.38/49.54 apply (zenon_or_s _ _ ax10); [ zenon_intro zenon_H9d | zenon_intro zenon_Hd4 ].
% 49.38/49.54 apply (zenon_and_s _ _ zenon_H9d). zenon_intro zenon_Ha0. zenon_intro zenon_H9f.
% 49.38/49.54 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_Ha2. zenon_intro zenon_Ha1.
% 49.38/49.54 cut (((op1 (e11) (op1 (e10) (e11))) = (e11)) = ((op1 (e11) (e13)) = (op1 (e13) (e13)))).
% 49.38/49.54 intro zenon_D_pnotp.
% 49.38/49.54 apply zenon_H15a.
% 49.38/49.54 rewrite <- zenon_D_pnotp.
% 49.38/49.54 exact zenon_Ha2.
% 49.38/49.54 cut (((e11) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hf6].
% 49.38/49.54 cut (((op1 (e11) (op1 (e10) (e11))) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H3bb].
% 49.38/49.54 congruence.
% 49.38/49.54 elim (classic ((op1 (e11) (e13)) = (op1 (e11) (e13)))); [ zenon_intro zenon_H147 | zenon_intro zenon_H148 ].
% 49.38/49.54 cut (((op1 (e11) (e13)) = (op1 (e11) (e13))) = ((op1 (e11) (op1 (e10) (e11))) = (op1 (e11) (e13)))).
% 49.38/49.54 intro zenon_D_pnotp.
% 49.38/49.54 apply zenon_H3bb.
% 49.38/49.54 rewrite <- zenon_D_pnotp.
% 49.38/49.54 exact zenon_H147.
% 49.38/49.54 cut (((op1 (e11) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H148].
% 49.38/49.54 cut (((op1 (e11) (e13)) = (op1 (e11) (op1 (e10) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3bc].
% 49.38/49.54 congruence.
% 49.38/49.54 cut (((e13) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H361].
% 49.38/49.54 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H51].
% 49.38/49.54 congruence.
% 49.38/49.54 apply zenon_H51. apply refl_equal.
% 49.38/49.54 apply zenon_H361. apply sym_equal. exact zenon_H54.
% 49.38/49.54 apply zenon_H148. apply refl_equal.
% 49.38/49.54 apply zenon_H148. apply refl_equal.
% 49.38/49.54 apply zenon_Hf6. apply sym_equal. exact zenon_Hf3.
% 49.38/49.54 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Had | zenon_intro zenon_Hd5 ].
% 49.38/49.54 apply (zenon_L49_); trivial.
% 49.38/49.54 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hc6 ].
% 49.38/49.54 apply (zenon_L94_); trivial.
% 49.38/49.54 apply (zenon_L50_); trivial.
% 49.38/49.54 (* end of lemma zenon_L660_ *)
% 49.38/49.54 assert (zenon_L661_ : ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((e10) = (e11))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (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 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e12) = (e13))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> ((op1 (e13) (e11)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e13)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e13)) -> False).
% 49.38/49.54 do 0 intro. intros zenon_H20 zenon_He7 zenon_H4f zenon_H368 zenon_H12b zenon_H11d zenon_H2d zenon_H135 zenon_H113 zenon_H33 zenon_H161 zenon_H15f zenon_H190 zenon_H18e zenon_H353 zenon_H117 zenon_Hd6 zenon_H76 zenon_H362 zenon_Hc7 zenon_H35d zenon_H185 zenon_Hd9 zenon_H146 zenon_H8b zenon_H151 zenon_H18d zenon_Hfd zenon_H6c zenon_H16c zenon_H187 zenon_H155 zenon_H96 zenon_H9e zenon_H126 zenon_H360 zenon_H108 zenon_H99 zenon_H63 zenon_H82 zenon_H23 zenon_H40 zenon_H111 zenon_H58 zenon_H173 zenon_H36e zenon_H36b zenon_H142 zenon_H10b zenon_H365 zenon_H18b zenon_H180 zenon_H122 zenon_H13a zenon_H3a zenon_Hf7 zenon_H54 zenon_H15a zenon_He0 zenon_H9a zenon_Hea zenon_H1f zenon_Hfb zenon_H24 zenon_Hae zenon_Haf.
% 49.38/49.54 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H121 | zenon_intro zenon_H127 ].
% 49.38/49.54 apply (zenon_L70_); trivial.
% 49.38/49.54 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H94 | zenon_intro zenon_H128 ].
% 49.38/49.54 apply (zenon_L481_); trivial.
% 49.38/49.54 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H11b | zenon_intro zenon_Hf3 ].
% 49.38/49.54 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He6 | zenon_intro zenon_Hf8 ].
% 49.38/49.54 apply (zenon_L527_); trivial.
% 49.38/49.54 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Hab | zenon_intro zenon_Hf9 ].
% 49.38/49.54 apply (zenon_L47_); trivial.
% 49.38/49.54 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_He9 | zenon_intro zenon_Hf3 ].
% 49.38/49.54 apply (zenon_L48_); trivial.
% 49.38/49.54 apply (zenon_L660_); trivial.
% 49.38/49.54 apply (zenon_L660_); trivial.
% 49.38/49.54 (* end of lemma zenon_L661_ *)
% 49.38/49.54 assert (zenon_L662_ : ((op1 (e10) (e12)) = (e11)) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((e10) = (e11))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (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 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e12) = (e13))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> ((op1 (e13) (e11)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False).
% 49.38/49.54 do 0 intro. intros zenon_H56 zenon_H20 zenon_He7 zenon_H4f zenon_H368 zenon_H12b zenon_H11d zenon_H2d zenon_H135 zenon_H113 zenon_H33 zenon_H161 zenon_H15f zenon_H190 zenon_H18e zenon_H353 zenon_H117 zenon_Hd6 zenon_H76 zenon_H362 zenon_Hc7 zenon_H35d zenon_H185 zenon_Hd9 zenon_H146 zenon_H8b zenon_H151 zenon_H18d zenon_Hfd zenon_H6c zenon_H16c zenon_H187 zenon_H155 zenon_H96 zenon_H9e zenon_H126 zenon_H360 zenon_H108 zenon_H99 zenon_H63 zenon_H82 zenon_H23 zenon_H40 zenon_H111 zenon_H58 zenon_H173 zenon_H36e zenon_H36b zenon_H142 zenon_H10b zenon_H365 zenon_H18b zenon_H180 zenon_H122 zenon_H13a zenon_H3a zenon_Hf7 zenon_H54 zenon_H15a zenon_He0 zenon_H9a zenon_Hea zenon_H1f zenon_H24 zenon_Hae.
% 49.38/49.54 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hfe ].
% 49.38/49.54 apply (zenon_L7_); trivial.
% 49.38/49.54 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hff ].
% 49.38/49.54 apply (zenon_L144_); trivial.
% 49.38/49.54 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H89 | zenon_intro zenon_Hfb ].
% 49.38/49.54 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H39 | zenon_intro zenon_H136 ].
% 49.38/49.54 apply (zenon_L8_); trivial.
% 49.38/49.54 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hdc | zenon_intro zenon_H137 ].
% 49.38/49.54 apply (zenon_L504_); trivial.
% 49.38/49.54 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Haf | zenon_intro zenon_H12c ].
% 49.38/49.54 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H8c | zenon_intro zenon_H152 ].
% 49.38/49.54 apply (zenon_L28_); trivial.
% 49.38/49.54 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H145 | zenon_intro zenon_H153 ].
% 49.38/49.54 apply (zenon_L93_); trivial.
% 49.38/49.54 apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_Hfb | zenon_intro zenon_H12c ].
% 49.38/49.54 apply (zenon_L661_); trivial.
% 49.38/49.54 apply (zenon_L104_); trivial.
% 49.38/49.54 apply (zenon_L104_); trivial.
% 49.38/49.54 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H57 | zenon_intro zenon_Hda ].
% 49.38/49.54 apply (zenon_L17_); trivial.
% 49.38/49.54 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H81 | zenon_intro zenon_Hdb ].
% 49.38/49.54 apply (zenon_L26_); trivial.
% 49.38/49.54 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H89 | zenon_intro zenon_Haf ].
% 49.38/49.54 apply (zenon_L132_); trivial.
% 49.38/49.54 apply (zenon_L661_); trivial.
% 49.38/49.54 (* end of lemma zenon_L662_ *)
% 49.38/49.54 assert (zenon_L663_ : (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((e12) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e11) = (e12))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((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 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((e10) = (e13))) -> ((op1 (e13) (e11)) = (e10)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> False).
% 49.38/49.54 do 0 intro. intros zenon_Hae zenon_Hea zenon_Hf7 zenon_H13a zenon_H122 zenon_H180 zenon_H365 zenon_H10b zenon_H142 zenon_H36b zenon_H36e zenon_H173 zenon_H58 zenon_H111 zenon_H40 zenon_H23 zenon_H360 zenon_H126 zenon_H9e zenon_H96 zenon_H155 zenon_H187 zenon_H16c zenon_H6c zenon_H151 zenon_H8b zenon_H146 zenon_H35d zenon_Hc7 zenon_H362 zenon_H76 zenon_Hd6 zenon_H117 zenon_H353 zenon_H18e zenon_H190 zenon_H15f zenon_H161 zenon_H113 zenon_H11d zenon_H12b zenon_H368 zenon_H4f zenon_He7 zenon_H185 zenon_Hd9 zenon_H135 zenon_H3a zenon_H2d zenon_H18b zenon_H15a zenon_H18d zenon_H54 zenon_H33 zenon_Hfd zenon_H108 zenon_He0 zenon_H56 zenon_H63 zenon_H99 zenon_H24 zenon_H1f zenon_H20 zenon_H82.
% 49.38/49.54 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_He4 | zenon_intro zenon_H10c ].
% 49.38/49.54 apply (zenon_L45_); trivial.
% 49.38/49.54 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H9a | zenon_intro zenon_H10d ].
% 49.38/49.54 apply (zenon_L662_); trivial.
% 49.38/49.54 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H101 | zenon_intro zenon_H9b ].
% 49.38/49.54 apply (zenon_L520_); trivial.
% 49.38/49.54 apply (zenon_L60_); trivial.
% 49.38/49.54 (* end of lemma zenon_L663_ *)
% 49.38/49.54 assert (zenon_L664_ : (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((e12) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e11) = (e12))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((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 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((e10) = (e13))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> False).
% 49.38/49.54 do 0 intro. intros zenon_Hae zenon_Hea zenon_Hf7 zenon_H13a zenon_H122 zenon_H180 zenon_H365 zenon_H10b zenon_H142 zenon_H36b zenon_H36e zenon_H173 zenon_H58 zenon_H111 zenon_H40 zenon_H23 zenon_H360 zenon_H126 zenon_H9e zenon_H96 zenon_H155 zenon_H187 zenon_H16c zenon_H6c zenon_H151 zenon_H8b zenon_H146 zenon_H35d zenon_Hc7 zenon_H362 zenon_H76 zenon_Hd6 zenon_H117 zenon_H353 zenon_H18e zenon_H190 zenon_H15f zenon_H161 zenon_H113 zenon_H11d zenon_H12b zenon_H368 zenon_H4f zenon_He7 zenon_H185 zenon_Hd9 zenon_H135 zenon_H3a zenon_H2d zenon_H15a zenon_H18d zenon_H54 zenon_H33 zenon_Hfd zenon_H108 zenon_He0 zenon_H56 zenon_H63 zenon_H99 zenon_H24 zenon_H1f zenon_H20 zenon_H82.
% 49.38/49.54 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H17 | zenon_intro zenon_H191 ].
% 49.38/49.54 apply (zenon_L15_); trivial.
% 49.38/49.54 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H60 | zenon_intro zenon_H192 ].
% 49.38/49.54 apply (zenon_L659_); trivial.
% 49.38/49.54 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H188 | zenon_intro zenon_H18b ].
% 49.38/49.54 apply (zenon_L140_); trivial.
% 49.38/49.54 apply (zenon_L663_); trivial.
% 49.38/49.54 (* end of lemma zenon_L664_ *)
% 49.38/49.54 assert (zenon_L665_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e12) = (e13))) -> ((op1 (e10) (e11)) = (e12)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (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) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((e11) = (e12))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False).
% 49.38/49.55 do 0 intro. intros zenon_H113 zenon_H111 zenon_H10e zenon_H40 zenon_H23 zenon_H82 zenon_H99 zenon_H63 zenon_H56 zenon_He0 zenon_H108 zenon_Hd9 zenon_H8b zenon_Hfd zenon_Hae zenon_H6c zenon_H9e zenon_Hea zenon_H4f zenon_H58 zenon_Hf7 zenon_Hfa zenon_H96 zenon_H10b zenon_H15f zenon_H16c zenon_H67 zenon_H160 zenon_H13a zenon_H122 zenon_H18 zenon_H377 zenon_H365 zenon_H180 zenon_H35d zenon_Hc7 zenon_H76 zenon_Hd6 zenon_H117 zenon_H18e zenon_H7b zenon_H18d zenon_H154 zenon_H2d zenon_H161 zenon_H33 zenon_H24 zenon_H1f zenon_H20 zenon_H3a.
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H25 | zenon_intro zenon_H114 ].
% 49.38/49.55 apply (zenon_L4_); trivial.
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H54 | zenon_intro zenon_H115 ].
% 49.38/49.55 apply (zenon_L544_); trivial.
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H57 | zenon_intro zenon_H8c ].
% 49.38/49.55 apply (zenon_L17_); trivial.
% 49.38/49.55 apply (zenon_L653_); trivial.
% 49.38/49.55 (* end of lemma zenon_L665_ *)
% 49.38/49.55 assert (zenon_L666_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((h3 (e10)) = (op2 (e22) (e22))) -> ((op2 (e20) (e23)) = (e22)) -> ((h3 (e12)) = (e22)) -> (~((h3 (op1 (e10) (e13))) = (op2 (h3 (e10)) (h3 (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((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) (e10)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (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 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e11))) -> False).
% 49.38/49.55 do 0 intro. intros zenon_H3a9 zenon_H365 zenon_H36e zenon_H368 zenon_H36b zenon_H360 zenon_H35d zenon_H362 zenon_H371 zenon_H19e zenon_H39d zenon_H14 zenon_H13 zenon_H28a zenon_H3b0 zenon_H3af zenon_H377 zenon_H38e zenon_H387 zenon_H37f zenon_H37b zenon_H391 zenon_H396 zenon_H161 zenon_H13f zenon_H126 zenon_H122 zenon_H155 zenon_H9e zenon_Hfa zenon_Hf7 zenon_H19 zenon_H173 zenon_H16a zenon_H178 zenon_H40 zenon_H43 zenon_H16b zenon_H4a zenon_H111 zenon_H160 zenon_H182 zenon_H8b zenon_H12b zenon_H154 zenon_H7b zenon_H10b zenon_H142 zenon_H11e zenon_H3a zenon_H135 zenon_H13a zenon_H11d zenon_H117 zenon_H15e zenon_H2d zenon_H58 zenon_H190 zenon_H17a zenon_H82 zenon_H20 zenon_H24 zenon_Hd6 zenon_H76 zenon_H96 zenon_H99 zenon_H18e zenon_Hae zenon_Hea zenon_Hc7 zenon_H63 zenon_He0 zenon_H108 zenon_H185 zenon_Hd9 zenon_H151 zenon_H146 zenon_H15a zenon_H18d zenon_H33 zenon_Hfd zenon_H6c zenon_H67 zenon_H16c zenon_H15f zenon_H1f zenon_H187 zenon_H180 zenon_H23 zenon_H113 zenon_H4f.
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H3a9); [ zenon_intro zenon_H18 | zenon_intro zenon_H3aa ].
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H4b | zenon_intro zenon_H16f ].
% 49.38/49.55 apply (zenon_L13_); trivial.
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H4e | zenon_intro zenon_H170 ].
% 49.38/49.55 apply (zenon_L650_); trivial.
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H56 | zenon_intro zenon_He6 ].
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H371); [ zenon_intro zenon_H4b | zenon_intro zenon_H372 ].
% 49.38/49.55 apply (zenon_L13_); trivial.
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H5b | zenon_intro zenon_H373 ].
% 49.38/49.55 apply (zenon_L18_); trivial.
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H373); [ zenon_intro zenon_H353 | zenon_intro zenon_H121 ].
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H72 | zenon_intro zenon_H162 ].
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H25 | zenon_intro zenon_H114 ].
% 49.38/49.55 apply (zenon_L4_); trivial.
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H54 | zenon_intro zenon_H115 ].
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H25 | zenon_intro zenon_H41 ].
% 49.38/49.55 apply (zenon_L4_); trivial.
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H2c | zenon_intro zenon_H42 ].
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H2b | zenon_intro zenon_H163 ].
% 49.38/49.55 apply (zenon_L6_); trivial.
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H60 | zenon_intro zenon_H164 ].
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H5b | zenon_intro zenon_H165 ].
% 49.38/49.55 apply (zenon_L18_); trivial.
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H61 | zenon_intro zenon_H166 ].
% 49.38/49.55 apply (zenon_L19_); trivial.
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H64 | zenon_intro zenon_Hab ].
% 49.38/49.55 apply (zenon_L20_); trivial.
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H4e | zenon_intro zenon_H171 ].
% 49.38/49.55 apply (zenon_L641_); trivial.
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H61 | zenon_intro zenon_H172 ].
% 49.38/49.55 apply (zenon_L19_); trivial.
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H6b | zenon_intro zenon_H94 ].
% 49.38/49.55 apply (zenon_L22_); trivial.
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H73 | zenon_intro zenon_H167 ].
% 49.38/49.55 apply (zenon_L622_); trivial.
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H75 | zenon_intro zenon_H168 ].
% 49.38/49.55 apply (zenon_L24_); trivial.
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H9a | zenon_intro zenon_Hde ].
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_H91 | zenon_intro zenon_H35e ].
% 49.38/49.55 apply (zenon_L552_); trivial.
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H18b | zenon_intro zenon_H35f ].
% 49.38/49.55 apply (zenon_L481_); trivial.
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H116 | zenon_intro zenon_H35a ].
% 49.38/49.55 apply (zenon_L65_); trivial.
% 49.38/49.55 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H92 | zenon_intro zenon_Hd7 ].
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H36b); [ zenon_intro zenon_H110 | zenon_intro zenon_H36c ].
% 49.38/49.55 apply (zenon_L657_); trivial.
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_Hde | zenon_intro zenon_H36d ].
% 49.38/49.55 apply (zenon_L43_); trivial.
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H36d); [ zenon_intro zenon_H369 | zenon_intro zenon_Hc8 ].
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H38e); [ zenon_intro zenon_H177 | zenon_intro zenon_H38f ].
% 49.38/49.55 apply (zenon_L587_); trivial.
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H38f); [ zenon_intro zenon_He6 | zenon_intro zenon_H390 ].
% 49.38/49.55 apply (zenon_L497_); trivial.
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H110 | zenon_intro zenon_H8c ].
% 49.38/49.55 apply (zenon_L558_); trivial.
% 49.38/49.55 apply (zenon_L658_); trivial.
% 49.38/49.55 apply (zenon_L507_); trivial.
% 49.38/49.55 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H95 | zenon_intro zenon_Hd8 ].
% 49.38/49.55 apply (zenon_L604_); trivial.
% 49.38/49.55 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hc8 ].
% 49.38/49.55 apply (zenon_L31_); trivial.
% 49.38/49.55 apply (zenon_L571_); trivial.
% 49.38/49.55 apply (zenon_L43_); trivial.
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_He1 | zenon_intro zenon_He7 ].
% 49.38/49.55 apply (zenon_L44_); trivial.
% 49.38/49.55 apply (zenon_L664_); trivial.
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H39 ].
% 49.38/49.55 apply (zenon_L7_); trivial.
% 49.38/49.55 apply (zenon_L8_); trivial.
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H57 | zenon_intro zenon_H8c ].
% 49.38/49.55 apply (zenon_L17_); trivial.
% 49.38/49.55 apply (zenon_L653_); trivial.
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H10e | zenon_intro zenon_H169 ].
% 49.38/49.55 apply (zenon_L665_); trivial.
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_He4 | zenon_intro zenon_H110 ].
% 49.38/49.55 apply (zenon_L45_); trivial.
% 49.38/49.55 apply (zenon_L657_); trivial.
% 49.38/49.55 apply (zenon_L70_); trivial.
% 49.38/49.55 apply (zenon_L550_); trivial.
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H3aa); [ zenon_intro zenon_H17 | zenon_intro zenon_H3ab ].
% 49.38/49.55 apply (zenon_L110_); trivial.
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H3ab); [ zenon_intro zenon_H174 | zenon_intro zenon_H177 ].
% 49.38/49.55 apply (zenon_L111_); trivial.
% 49.38/49.55 apply (zenon_L153_); trivial.
% 49.38/49.55 (* end of lemma zenon_L666_ *)
% 49.38/49.55 assert (zenon_L667_ : (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e23) (e20)) = (e22)) -> ((op2 (e21) (e21)) = (e20)) -> (~((e21) = (e23))) -> ((op2 (e23) (e21)) = (e21)) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e23)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((e21) = (e22))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> False).
% 49.38/49.55 do 0 intro. intros zenon_H2da zenon_H1b4 zenon_H20c zenon_H1da zenon_H1d2 zenon_H20e zenon_H317 zenon_H241 zenon_H228 zenon_H225 zenon_H213 zenon_H210 zenon_H1f0 zenon_H250 zenon_H205 zenon_H1fc zenon_H1d0 zenon_H253 zenon_H1c9 zenon_H291 zenon_H218 zenon_H25a zenon_H1e6 zenon_H19e zenon_H308 zenon_H1f5 zenon_H277 zenon_H1ad zenon_H307 zenon_H2ce zenon_H33a zenon_H336 zenon_H264 zenon_H14 zenon_H19b zenon_H2ff zenon_H274 zenon_H206.
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H1ed | zenon_intro zenon_H2e1 ].
% 49.38/49.55 apply (zenon_L383_); trivial.
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H1ef | zenon_intro zenon_H2e2 ].
% 49.38/49.55 apply (zenon_L176_); trivial.
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H214 | zenon_intro zenon_H258 ].
% 49.38/49.55 apply (zenon_L447_); trivial.
% 49.38/49.55 apply (zenon_L388_); trivial.
% 49.38/49.55 (* end of lemma zenon_L667_ *)
% 49.38/49.55 assert (zenon_L668_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (e21)) = (e20)) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((e20) = (e21))) -> False).
% 49.38/49.55 do 0 intro. intros zenon_H2d9 zenon_H14 zenon_H19b zenon_H1ad zenon_H1da zenon_H1d0 zenon_H1dd zenon_H261 zenon_H1c9.
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H2df ].
% 49.38/49.55 apply (zenon_L170_); trivial.
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H1db | zenon_intro zenon_H2e0 ].
% 49.38/49.55 apply (zenon_L171_); trivial.
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1de | zenon_intro zenon_H225 ].
% 49.38/49.55 apply (zenon_L172_); trivial.
% 49.38/49.55 apply (zenon_L199_); trivial.
% 49.38/49.55 (* end of lemma zenon_L668_ *)
% 49.38/49.55 assert (zenon_L669_ : ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e23)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e23)) = (e21)) -> ((op2 (e23) (e22)) = (e23)) -> False).
% 49.38/49.55 do 0 intro. intros zenon_H1ce zenon_H2d4 zenon_H25a zenon_H214 zenon_H264 zenon_H14 zenon_H275 zenon_H19e zenon_H228 zenon_H26d zenon_H229.
% 49.38/49.55 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H217 | zenon_intro zenon_H24e ].
% 49.38/49.55 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H21a. zenon_intro zenon_H219.
% 49.38/49.55 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H21c. zenon_intro zenon_H21b.
% 49.38/49.55 cut (((op2 (e21) (op2 (e20) (e21))) = (e21)) = ((op2 (e21) (e23)) = (op2 (e23) (e23)))).
% 49.38/49.55 intro zenon_D_pnotp.
% 49.38/49.55 apply zenon_H2d4.
% 49.38/49.55 rewrite <- zenon_D_pnotp.
% 49.38/49.55 exact zenon_H21c.
% 49.38/49.55 cut (((e21) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H270].
% 49.38/49.55 cut (((op2 (e21) (op2 (e20) (e21))) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H3bd].
% 49.38/49.55 congruence.
% 49.38/49.55 elim (classic ((op2 (e21) (e23)) = (op2 (e21) (e23)))); [ zenon_intro zenon_H2c1 | zenon_intro zenon_H2c2 ].
% 49.38/49.55 cut (((op2 (e21) (e23)) = (op2 (e21) (e23))) = ((op2 (e21) (op2 (e20) (e21))) = (op2 (e21) (e23)))).
% 49.38/49.55 intro zenon_D_pnotp.
% 49.38/49.55 apply zenon_H3bd.
% 49.38/49.55 rewrite <- zenon_D_pnotp.
% 49.38/49.55 exact zenon_H2c1.
% 49.38/49.55 cut (((op2 (e21) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H2c2].
% 49.38/49.55 cut (((op2 (e21) (e23)) = (op2 (e21) (op2 (e20) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H3be].
% 49.38/49.55 congruence.
% 49.38/49.55 cut (((e23) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H31b].
% 49.38/49.55 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1cb].
% 49.38/49.55 congruence.
% 49.38/49.55 apply zenon_H1cb. apply refl_equal.
% 49.38/49.55 apply zenon_H31b. apply sym_equal. exact zenon_H1ce.
% 49.38/49.55 apply zenon_H2c2. apply refl_equal.
% 49.38/49.55 apply zenon_H2c2. apply refl_equal.
% 49.38/49.55 apply zenon_H270. apply sym_equal. exact zenon_H26d.
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H227 | zenon_intro zenon_H24f ].
% 49.38/49.55 apply (zenon_L201_); trivial.
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H237 | zenon_intro zenon_H240 ].
% 49.38/49.55 apply (zenon_L246_); trivial.
% 49.38/49.55 apply (zenon_L202_); trivial.
% 49.38/49.55 (* end of lemma zenon_L669_ *)
% 49.38/49.55 assert (zenon_L670_ : ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((e20) = (e21))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((e20) = (e23))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e23)) = (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) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((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 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((e22) = (e23))) -> (~((e21) = (e23))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((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 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e23)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e23)) -> False).
% 49.38/49.55 do 0 intro. intros zenon_H19b zenon_H261 zenon_H1c9 zenon_H322 zenon_H2a5 zenon_H297 zenon_H1a7 zenon_H2af zenon_H28d zenon_H1ad zenon_H2db zenon_H2d9 zenon_H30a zenon_H308 zenon_H30d zenon_H291 zenon_H250 zenon_H1f0 zenon_H31c zenon_H241 zenon_H317 zenon_H2ff zenon_H253 zenon_H2c0 zenon_H205 zenon_H2cb zenon_H307 zenon_H277 zenon_H1e6 zenon_H2e6 zenon_H301 zenon_H2cf zenon_H210 zenon_H218 zenon_H2a0 zenon_H31a zenon_H282 zenon_H213 zenon_H1dd zenon_H1fc zenon_H19d zenon_H1ba zenon_H28b zenon_H1d2 zenon_H2ed zenon_H328 zenon_H325 zenon_H2bc zenon_H285 zenon_H31f zenon_H305 zenon_H2fa zenon_H29c zenon_H2b4 zenon_H1b4 zenon_H271 zenon_H1ce zenon_H2d4 zenon_H25a zenon_H214 zenon_H264 zenon_H14 zenon_H275 zenon_H19e zenon_H228 zenon_H229.
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H29b | zenon_intro zenon_H2a1 ].
% 49.38/49.55 apply (zenon_L222_); trivial.
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H20e | zenon_intro zenon_H2a2 ].
% 49.38/49.55 apply (zenon_L312_); trivial.
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H295 | zenon_intro zenon_H26d ].
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H260 | zenon_intro zenon_H272 ].
% 49.38/49.55 apply (zenon_L358_); trivial.
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H225 | zenon_intro zenon_H273 ].
% 49.38/49.55 apply (zenon_L199_); trivial.
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H263 | zenon_intro zenon_H26d ].
% 49.38/49.55 apply (zenon_L200_); trivial.
% 49.38/49.55 apply (zenon_L669_); trivial.
% 49.38/49.55 apply (zenon_L669_); trivial.
% 49.38/49.55 (* end of lemma zenon_L670_ *)
% 49.38/49.55 assert (zenon_L671_ : ((op2 (e20) (e22)) = (e21)) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((e20) = (e21))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((e20) = (e23))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e23)) = (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) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((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 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((e22) = (e23))) -> (~((e21) = (e23))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((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 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False).
% 49.38/49.55 do 0 intro. intros zenon_H1d0 zenon_H19b zenon_H261 zenon_H1c9 zenon_H322 zenon_H2a5 zenon_H297 zenon_H1a7 zenon_H2af zenon_H28d zenon_H1ad zenon_H2db zenon_H2d9 zenon_H30a zenon_H308 zenon_H30d zenon_H291 zenon_H250 zenon_H1f0 zenon_H31c zenon_H241 zenon_H317 zenon_H2ff zenon_H253 zenon_H2c0 zenon_H205 zenon_H2cb zenon_H307 zenon_H277 zenon_H1e6 zenon_H2e6 zenon_H301 zenon_H2cf zenon_H210 zenon_H218 zenon_H2a0 zenon_H31a zenon_H282 zenon_H213 zenon_H1dd zenon_H1fc zenon_H19d zenon_H1ba zenon_H28b zenon_H1d2 zenon_H2ed zenon_H328 zenon_H325 zenon_H2bc zenon_H285 zenon_H31f zenon_H305 zenon_H2fa zenon_H29c zenon_H2b4 zenon_H1b4 zenon_H271 zenon_H1ce zenon_H2d4 zenon_H25a zenon_H214 zenon_H264 zenon_H14 zenon_H19e zenon_H228.
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H1ac | zenon_intro zenon_H278 ].
% 49.38/49.55 apply (zenon_L159_); trivial.
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H238 | zenon_intro zenon_H279 ].
% 49.38/49.55 apply (zenon_L296_); trivial.
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H203 | zenon_intro zenon_H275 ].
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H2b0 ].
% 49.38/49.55 apply (zenon_L160_); trivial.
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H256 | zenon_intro zenon_H2b1 ].
% 49.38/49.55 apply (zenon_L335_); trivial.
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H229 | zenon_intro zenon_H2a6 ].
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H206 | zenon_intro zenon_H2cc ].
% 49.38/49.55 apply (zenon_L180_); trivial.
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H2bf | zenon_intro zenon_H2cd ].
% 49.38/49.55 apply (zenon_L245_); trivial.
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H275 | zenon_intro zenon_H2a6 ].
% 49.38/49.55 apply (zenon_L670_); trivial.
% 49.38/49.55 apply (zenon_L256_); trivial.
% 49.38/49.55 apply (zenon_L256_); trivial.
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H254 ].
% 49.38/49.55 apply (zenon_L169_); trivial.
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1fb | zenon_intro zenon_H255 ].
% 49.38/49.55 apply (zenon_L178_); trivial.
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H203 | zenon_intro zenon_H229 ].
% 49.38/49.55 apply (zenon_L284_); trivial.
% 49.38/49.55 apply (zenon_L670_); trivial.
% 49.38/49.55 (* end of lemma zenon_L671_ *)
% 49.38/49.55 assert (zenon_L672_ : (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((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)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e23))) -> (~((e22) = (e23))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((e20) = (e21))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((e20) = (e23))) -> ((op2 (e23) (e21)) = (e20)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> False).
% 49.38/49.55 do 0 intro. intros zenon_H228 zenon_H264 zenon_H271 zenon_H2b4 zenon_H29c zenon_H2fa zenon_H31f zenon_H285 zenon_H2bc zenon_H325 zenon_H328 zenon_H2ed zenon_H1d2 zenon_H28b zenon_H1ba zenon_H19d zenon_H31a zenon_H2a0 zenon_H218 zenon_H210 zenon_H2cf zenon_H301 zenon_H2e6 zenon_H1e6 zenon_H2cb zenon_H205 zenon_H2c0 zenon_H317 zenon_H241 zenon_H31c zenon_H1f0 zenon_H250 zenon_H291 zenon_H30d zenon_H308 zenon_H30a zenon_H2d9 zenon_H2db zenon_H28d zenon_H297 zenon_H2a5 zenon_H322 zenon_H1c9 zenon_H261 zenon_H2ff zenon_H253 zenon_H2af zenon_H1b4 zenon_H1a7 zenon_H305 zenon_H2d4 zenon_H307 zenon_H1ce zenon_H1ad zenon_H277 zenon_H282 zenon_H25a zenon_H1d0 zenon_H1dd zenon_H213 zenon_H19e zenon_H14 zenon_H19b zenon_H1fc.
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H25e | zenon_intro zenon_H286 ].
% 49.38/49.55 apply (zenon_L197_); trivial.
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H214 | zenon_intro zenon_H287 ].
% 49.38/49.55 apply (zenon_L671_); trivial.
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H27b | zenon_intro zenon_H215 ].
% 49.38/49.55 apply (zenon_L351_); trivial.
% 49.38/49.55 apply (zenon_L212_); trivial.
% 49.38/49.55 (* end of lemma zenon_L672_ *)
% 49.38/49.55 assert (zenon_L673_ : (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((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)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e23))) -> (~((e22) = (e23))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((e20) = (e21))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((e20) = (e23))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> False).
% 49.38/49.55 do 0 intro. intros zenon_H228 zenon_H264 zenon_H271 zenon_H2b4 zenon_H29c zenon_H2fa zenon_H31f zenon_H285 zenon_H2bc zenon_H325 zenon_H328 zenon_H2ed zenon_H1d2 zenon_H28b zenon_H1ba zenon_H19d zenon_H31a zenon_H2a0 zenon_H218 zenon_H210 zenon_H2cf zenon_H301 zenon_H2e6 zenon_H1e6 zenon_H2cb zenon_H205 zenon_H2c0 zenon_H317 zenon_H241 zenon_H31c zenon_H1f0 zenon_H250 zenon_H291 zenon_H30d zenon_H308 zenon_H30a zenon_H2d9 zenon_H2db zenon_H28d zenon_H297 zenon_H2a5 zenon_H322 zenon_H1c9 zenon_H261 zenon_H2ff zenon_H253 zenon_H2af zenon_H1b4 zenon_H1a7 zenon_H2d4 zenon_H307 zenon_H1ce zenon_H1ad zenon_H277 zenon_H282 zenon_H25a zenon_H1d0 zenon_H1dd zenon_H213 zenon_H19e zenon_H14 zenon_H19b zenon_H1fc.
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H193 | zenon_intro zenon_H30b ].
% 49.38/49.55 apply (zenon_L167_); trivial.
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H30b); [ zenon_intro zenon_H1da | zenon_intro zenon_H30c ].
% 49.38/49.55 apply (zenon_L668_); trivial.
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H30c); [ zenon_intro zenon_H302 | zenon_intro zenon_H305 ].
% 49.38/49.55 apply (zenon_L292_); trivial.
% 49.38/49.55 apply (zenon_L672_); trivial.
% 49.38/49.55 (* end of lemma zenon_L673_ *)
% 49.38/49.55 assert (zenon_L674_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((e22) = (e23))) -> ((op2 (e20) (e21)) = (e22)) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> (~((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)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((e20) = (e21))) -> (~((e21) = (e23))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((e21) = (e22))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((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)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((e20) = (e23))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False).
% 49.38/49.55 do 0 intro. intros zenon_H28d zenon_H28b zenon_H288 zenon_H1ba zenon_H19d zenon_H1fc zenon_H213 zenon_H1dd zenon_H1d0 zenon_H25a zenon_H282 zenon_H253 zenon_H205 zenon_H277 zenon_H228 zenon_H1e6 zenon_H218 zenon_H264 zenon_H1c9 zenon_H1d2 zenon_H271 zenon_H274 zenon_H210 zenon_H285 zenon_H2d9 zenon_H2e6 zenon_H1e1 zenon_H2da zenon_H2b4 zenon_H29c zenon_H194 zenon_H331 zenon_H31f zenon_H2fa zenon_H317 zenon_H241 zenon_H1f0 zenon_H250 zenon_H291 zenon_H308 zenon_H1f5 zenon_H307 zenon_H2ce zenon_H1a7 zenon_H2db zenon_H1ad zenon_H19e zenon_H14 zenon_H19b zenon_H1b4.
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H19f | zenon_intro zenon_H28e ].
% 49.38/49.55 apply (zenon_L156_); trivial.
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28f ].
% 49.38/49.55 apply (zenon_L373_); trivial.
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H206 ].
% 49.38/49.55 apply (zenon_L169_); trivial.
% 49.38/49.55 apply (zenon_L655_); trivial.
% 49.38/49.55 (* end of lemma zenon_L674_ *)
% 49.38/49.55 assert (zenon_L675_ : (~((h3 (op1 (e11) (e11))) = (op2 (h3 (e11)) (h3 (e11))))) -> ((h3 (e10)) = (op2 (e22) (e22))) -> ((op1 (e11) (e11)) = (e10)) -> ((op2 (e21) (e21)) = (e20)) -> ((e20) = (op2 (e22) (e22))) -> ((h3 (e11)) = (op2 (e22) (op2 (e22) (e22)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> False).
% 49.38/49.55 do 0 intro. intros zenon_H3bf zenon_H13 zenon_H60 zenon_H1da zenon_H14 zenon_H39a zenon_H19b.
% 49.38/49.55 cut (((h3 (e10)) = (op2 (e22) (e22))) = ((h3 (op1 (e11) (e11))) = (op2 (h3 (e11)) (h3 (e11))))).
% 49.38/49.55 intro zenon_D_pnotp.
% 49.38/49.55 apply zenon_H3bf.
% 49.38/49.55 rewrite <- zenon_D_pnotp.
% 49.38/49.55 exact zenon_H13.
% 49.38/49.55 cut (((op2 (e22) (e22)) = (op2 (h3 (e11)) (h3 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3c0].
% 49.38/49.55 cut (((h3 (e10)) = (h3 (op1 (e11) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3c1].
% 49.38/49.55 congruence.
% 49.38/49.55 elim (classic ((h3 (op1 (e11) (e11))) = (h3 (op1 (e11) (e11))))); [ zenon_intro zenon_H3c2 | zenon_intro zenon_H3c3 ].
% 49.38/49.55 cut (((h3 (op1 (e11) (e11))) = (h3 (op1 (e11) (e11)))) = ((h3 (e10)) = (h3 (op1 (e11) (e11))))).
% 49.38/49.55 intro zenon_D_pnotp.
% 49.38/49.55 apply zenon_H3c1.
% 49.38/49.55 rewrite <- zenon_D_pnotp.
% 49.38/49.55 exact zenon_H3c2.
% 49.38/49.55 cut (((h3 (op1 (e11) (e11))) = (h3 (op1 (e11) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3c3].
% 49.38/49.55 cut (((h3 (op1 (e11) (e11))) = (h3 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H3c4].
% 49.38/49.55 congruence.
% 49.38/49.55 cut (((op1 (e11) (e11)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H3c5].
% 49.38/49.55 congruence.
% 49.38/49.55 exact (zenon_H3c5 zenon_H60).
% 49.38/49.55 apply zenon_H3c3. apply refl_equal.
% 49.38/49.55 apply zenon_H3c3. apply refl_equal.
% 49.38/49.55 elim (classic ((op2 (h3 (e11)) (h3 (e11))) = (op2 (h3 (e11)) (h3 (e11))))); [ zenon_intro zenon_H3c6 | zenon_intro zenon_H3c7 ].
% 49.38/49.55 cut (((op2 (h3 (e11)) (h3 (e11))) = (op2 (h3 (e11)) (h3 (e11)))) = ((op2 (e22) (e22)) = (op2 (h3 (e11)) (h3 (e11))))).
% 49.38/49.55 intro zenon_D_pnotp.
% 49.38/49.55 apply zenon_H3c0.
% 49.38/49.55 rewrite <- zenon_D_pnotp.
% 49.38/49.55 exact zenon_H3c6.
% 49.38/49.55 cut (((op2 (h3 (e11)) (h3 (e11))) = (op2 (h3 (e11)) (h3 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3c7].
% 49.38/49.55 cut (((op2 (h3 (e11)) (h3 (e11))) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H3c8].
% 49.38/49.55 congruence.
% 49.38/49.55 cut (((op2 (e21) (e21)) = (e20)) = ((op2 (h3 (e11)) (h3 (e11))) = (op2 (e22) (e22)))).
% 49.38/49.55 intro zenon_D_pnotp.
% 49.38/49.55 apply zenon_H3c8.
% 49.38/49.55 rewrite <- zenon_D_pnotp.
% 49.38/49.55 exact zenon_H1da.
% 49.38/49.55 cut (((e20) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H3c9].
% 49.38/49.55 cut (((op2 (e21) (e21)) = (op2 (h3 (e11)) (h3 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3ca].
% 49.38/49.55 congruence.
% 49.38/49.55 elim (classic ((op2 (h3 (e11)) (h3 (e11))) = (op2 (h3 (e11)) (h3 (e11))))); [ zenon_intro zenon_H3c6 | zenon_intro zenon_H3c7 ].
% 49.38/49.55 cut (((op2 (h3 (e11)) (h3 (e11))) = (op2 (h3 (e11)) (h3 (e11)))) = ((op2 (e21) (e21)) = (op2 (h3 (e11)) (h3 (e11))))).
% 49.38/49.55 intro zenon_D_pnotp.
% 49.38/49.55 apply zenon_H3ca.
% 49.38/49.55 rewrite <- zenon_D_pnotp.
% 49.38/49.55 exact zenon_H3c6.
% 49.38/49.55 cut (((op2 (h3 (e11)) (h3 (e11))) = (op2 (h3 (e11)) (h3 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3c7].
% 49.38/49.55 cut (((op2 (h3 (e11)) (h3 (e11))) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H3cb].
% 49.38/49.55 congruence.
% 49.38/49.55 cut (((h3 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H399].
% 49.38/49.55 cut (((h3 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H399].
% 49.38/49.55 congruence.
% 49.38/49.55 apply (zenon_L651_); trivial.
% 49.38/49.55 apply (zenon_L651_); trivial.
% 49.38/49.55 apply zenon_H3c7. apply refl_equal.
% 49.38/49.55 apply zenon_H3c7. apply refl_equal.
% 49.38/49.55 exact (zenon_H3c9 zenon_H14).
% 49.38/49.55 apply zenon_H3c7. apply refl_equal.
% 49.38/49.55 apply zenon_H3c7. apply refl_equal.
% 49.38/49.55 (* end of lemma zenon_L675_ *)
% 49.38/49.55 assert (zenon_L676_ : (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e23))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (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) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((e22) = (e23))) -> (~((e21) = (e23))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((h3 (op1 (e11) (e11))) = (op2 (h3 (e11)) (h3 (e11))))) -> ((h3 (e10)) = (op2 (e22) (e22))) -> ((h3 (e11)) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((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 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((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) (e10)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (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 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e11))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False).
% 49.38/49.55 do 0 intro. intros zenon_H1fc zenon_H213 zenon_H1dd zenon_H1d0 zenon_H25a zenon_H282 zenon_H277 zenon_H1ce zenon_H307 zenon_H2d4 zenon_H1a7 zenon_H2af zenon_H253 zenon_H2ff zenon_H1c9 zenon_H322 zenon_H2a5 zenon_H297 zenon_H28d zenon_H2db zenon_H2d9 zenon_H30a zenon_H308 zenon_H30d zenon_H291 zenon_H250 zenon_H1f0 zenon_H31c zenon_H241 zenon_H317 zenon_H2c0 zenon_H205 zenon_H2cb zenon_H1e6 zenon_H2e6 zenon_H301 zenon_H2cf zenon_H210 zenon_H218 zenon_H2a0 zenon_H31a zenon_H19d zenon_H1ba zenon_H28b zenon_H1d2 zenon_H2ed zenon_H328 zenon_H325 zenon_H2bc zenon_H285 zenon_H31f zenon_H2fa zenon_H29c zenon_H2b4 zenon_H271 zenon_H264 zenon_H228 zenon_H3a9 zenon_H365 zenon_H36e zenon_H368 zenon_H36b zenon_H360 zenon_H35d zenon_H362 zenon_H371 zenon_H377 zenon_H3bf zenon_H13 zenon_H39a zenon_H37f zenon_H387 zenon_H37b zenon_H396 zenon_H38e zenon_H391 zenon_H161 zenon_H13f zenon_H126 zenon_H122 zenon_H155 zenon_H9e zenon_Hfa zenon_Hf7 zenon_H19 zenon_H173 zenon_H16a zenon_H178 zenon_H40 zenon_H43 zenon_H16b zenon_H4a zenon_H111 zenon_H160 zenon_H182 zenon_H8b zenon_H12b zenon_H154 zenon_H7b zenon_H10b zenon_H142 zenon_H11e zenon_H3a zenon_H135 zenon_H13a zenon_H11d zenon_H117 zenon_H15e zenon_H2d zenon_H58 zenon_H190 zenon_H17a zenon_H82 zenon_H20 zenon_H24 zenon_Hd6 zenon_H76 zenon_H96 zenon_H99 zenon_H18e zenon_Hae zenon_Hea zenon_Hc7 zenon_H63 zenon_He0 zenon_H108 zenon_H185 zenon_Hd9 zenon_H151 zenon_H146 zenon_H15a zenon_H18d zenon_H33 zenon_Hfd zenon_H6c zenon_H67 zenon_H16c zenon_H15f zenon_H1f zenon_H187 zenon_H180 zenon_H23 zenon_H113 zenon_H4f zenon_H1ad zenon_H19e zenon_H14 zenon_H19b zenon_H1b4.
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ].
% 49.38/49.55 apply (zenon_L156_); trivial.
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ].
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2dd ].
% 49.38/49.55 apply (zenon_L158_); trivial.
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1da | zenon_intro zenon_H2de ].
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H3a9); [ zenon_intro zenon_H18 | zenon_intro zenon_H3aa ].
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H4b | zenon_intro zenon_H16f ].
% 49.38/49.55 apply (zenon_L13_); trivial.
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H4e | zenon_intro zenon_H170 ].
% 49.38/49.55 apply (zenon_L650_); trivial.
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H56 | zenon_intro zenon_He6 ].
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H371); [ zenon_intro zenon_H4b | zenon_intro zenon_H372 ].
% 49.38/49.55 apply (zenon_L13_); trivial.
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H5b | zenon_intro zenon_H373 ].
% 49.38/49.55 apply (zenon_L18_); trivial.
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H373); [ zenon_intro zenon_H353 | zenon_intro zenon_H121 ].
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H25 | zenon_intro zenon_H114 ].
% 49.38/49.55 apply (zenon_L4_); trivial.
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H54 | zenon_intro zenon_H115 ].
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H25 | zenon_intro zenon_H41 ].
% 49.38/49.55 apply (zenon_L4_); trivial.
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H2c | zenon_intro zenon_H42 ].
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H2b | zenon_intro zenon_H163 ].
% 49.38/49.55 apply (zenon_L6_); trivial.
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H60 | zenon_intro zenon_H164 ].
% 49.38/49.55 apply (zenon_L675_); trivial.
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_He1 | zenon_intro zenon_He7 ].
% 49.38/49.55 apply (zenon_L44_); trivial.
% 49.38/49.55 apply (zenon_L664_); trivial.
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H39 ].
% 49.38/49.55 apply (zenon_L7_); trivial.
% 49.38/49.55 apply (zenon_L8_); trivial.
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H57 | zenon_intro zenon_H8c ].
% 49.38/49.55 apply (zenon_L17_); trivial.
% 49.38/49.55 apply (zenon_L653_); trivial.
% 49.38/49.55 apply (zenon_L70_); trivial.
% 49.38/49.55 apply (zenon_L550_); trivial.
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H3aa); [ zenon_intro zenon_H17 | zenon_intro zenon_H3ab ].
% 49.38/49.55 apply (zenon_L110_); trivial.
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H3ab); [ zenon_intro zenon_H174 | zenon_intro zenon_H177 ].
% 49.38/49.55 apply (zenon_L111_); trivial.
% 49.38/49.55 apply (zenon_L153_); trivial.
% 49.38/49.55 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H25b | zenon_intro zenon_H261 ].
% 49.38/49.56 apply (zenon_L196_); trivial.
% 49.38/49.56 apply (zenon_L673_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ].
% 49.38/49.56 apply (zenon_L159_); trivial.
% 49.38/49.56 apply (zenon_L160_); trivial.
% 49.38/49.56 (* end of lemma zenon_L676_ *)
% 49.38/49.56 assert (zenon_L677_ : (~((h3 (op1 (e11) (e12))) = (op2 (h3 (e11)) (h3 (e12))))) -> ((op1 (e11) (e12)) = (e12)) -> ((op2 (e21) (e22)) = (e22)) -> ((h3 (e11)) = (op2 (e22) (op2 (e22) (e22)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> False).
% 49.38/49.56 do 0 intro. intros zenon_H3cc zenon_H9a zenon_H214 zenon_H39a zenon_H19b zenon_H3b0.
% 49.38/49.56 cut (((h3 (e12)) = (e22)) = ((h3 (op1 (e11) (e12))) = (op2 (h3 (e11)) (h3 (e12))))).
% 49.38/49.56 intro zenon_D_pnotp.
% 49.38/49.56 apply zenon_H3cc.
% 49.38/49.56 rewrite <- zenon_D_pnotp.
% 49.38/49.56 exact zenon_H3b0.
% 49.38/49.56 cut (((e22) = (op2 (h3 (e11)) (h3 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H3cd].
% 49.38/49.56 cut (((h3 (e12)) = (h3 (op1 (e11) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H3ce].
% 49.38/49.56 congruence.
% 49.38/49.56 elim (classic ((h3 (op1 (e11) (e12))) = (h3 (op1 (e11) (e12))))); [ zenon_intro zenon_H3cf | zenon_intro zenon_H3d0 ].
% 49.38/49.56 cut (((h3 (op1 (e11) (e12))) = (h3 (op1 (e11) (e12)))) = ((h3 (e12)) = (h3 (op1 (e11) (e12))))).
% 49.38/49.56 intro zenon_D_pnotp.
% 49.38/49.56 apply zenon_H3ce.
% 49.38/49.56 rewrite <- zenon_D_pnotp.
% 49.38/49.56 exact zenon_H3cf.
% 49.38/49.56 cut (((h3 (op1 (e11) (e12))) = (h3 (op1 (e11) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H3d0].
% 49.38/49.56 cut (((h3 (op1 (e11) (e12))) = (h3 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3d1].
% 49.38/49.56 congruence.
% 49.38/49.56 cut (((op1 (e11) (e12)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H3d2].
% 49.38/49.56 congruence.
% 49.38/49.56 exact (zenon_H3d2 zenon_H9a).
% 49.38/49.56 apply zenon_H3d0. apply refl_equal.
% 49.38/49.56 apply zenon_H3d0. apply refl_equal.
% 49.38/49.56 elim (classic ((op2 (h3 (e11)) (h3 (e12))) = (op2 (h3 (e11)) (h3 (e12))))); [ zenon_intro zenon_H3d3 | zenon_intro zenon_H3d4 ].
% 49.38/49.56 cut (((op2 (h3 (e11)) (h3 (e12))) = (op2 (h3 (e11)) (h3 (e12)))) = ((e22) = (op2 (h3 (e11)) (h3 (e12))))).
% 49.38/49.56 intro zenon_D_pnotp.
% 49.38/49.56 apply zenon_H3cd.
% 49.38/49.56 rewrite <- zenon_D_pnotp.
% 49.38/49.56 exact zenon_H3d3.
% 49.38/49.56 cut (((op2 (h3 (e11)) (h3 (e12))) = (op2 (h3 (e11)) (h3 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H3d4].
% 49.38/49.56 cut (((op2 (h3 (e11)) (h3 (e12))) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H3d5].
% 49.38/49.56 congruence.
% 49.38/49.56 cut (((op2 (e21) (e22)) = (e22)) = ((op2 (h3 (e11)) (h3 (e12))) = (e22))).
% 49.38/49.56 intro zenon_D_pnotp.
% 49.38/49.56 apply zenon_H3d5.
% 49.38/49.56 rewrite <- zenon_D_pnotp.
% 49.38/49.56 exact zenon_H214.
% 49.38/49.56 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1c2].
% 49.38/49.56 cut (((op2 (e21) (e22)) = (op2 (h3 (e11)) (h3 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H3d6].
% 49.38/49.56 congruence.
% 49.38/49.56 elim (classic ((op2 (h3 (e11)) (h3 (e12))) = (op2 (h3 (e11)) (h3 (e12))))); [ zenon_intro zenon_H3d3 | zenon_intro zenon_H3d4 ].
% 49.38/49.56 cut (((op2 (h3 (e11)) (h3 (e12))) = (op2 (h3 (e11)) (h3 (e12)))) = ((op2 (e21) (e22)) = (op2 (h3 (e11)) (h3 (e12))))).
% 49.38/49.56 intro zenon_D_pnotp.
% 49.38/49.56 apply zenon_H3d6.
% 49.38/49.56 rewrite <- zenon_D_pnotp.
% 49.38/49.56 exact zenon_H3d3.
% 49.38/49.56 cut (((op2 (h3 (e11)) (h3 (e12))) = (op2 (h3 (e11)) (h3 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H3d4].
% 49.38/49.56 cut (((op2 (h3 (e11)) (h3 (e12))) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H3d7].
% 49.38/49.56 congruence.
% 49.38/49.56 cut (((h3 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H3d8].
% 49.38/49.56 cut (((h3 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H399].
% 49.38/49.56 congruence.
% 49.38/49.56 apply (zenon_L651_); trivial.
% 49.38/49.56 exact (zenon_H3d8 zenon_H3b0).
% 49.38/49.56 apply zenon_H3d4. apply refl_equal.
% 49.38/49.56 apply zenon_H3d4. apply refl_equal.
% 49.38/49.56 apply zenon_H1c2. apply refl_equal.
% 49.38/49.56 apply zenon_H3d4. apply refl_equal.
% 49.38/49.56 apply zenon_H3d4. apply refl_equal.
% 49.38/49.56 (* end of lemma zenon_L677_ *)
% 49.38/49.56 assert (zenon_L678_ : (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e12) = (e13))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e10) (e10)) = (e12)) -> ((h3 (e12)) = (e22)) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (e22) (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((h3 (op1 (e11) (e12))) = (op2 (h3 (e11)) (h3 (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False).
% 49.38/49.56 do 0 intro. intros zenon_H82 zenon_H99 zenon_H63 zenon_H56 zenon_He0 zenon_H108 zenon_Hfd zenon_H54 zenon_H18d zenon_H15a zenon_H2d zenon_H135 zenon_Hd9 zenon_H185 zenon_H4f zenon_H368 zenon_H12b zenon_H11d zenon_H113 zenon_H161 zenon_H15f zenon_H190 zenon_H18e zenon_H353 zenon_H117 zenon_Hd6 zenon_H76 zenon_H362 zenon_Hc7 zenon_H35d zenon_H146 zenon_H8b zenon_H151 zenon_H6c zenon_H16c zenon_H187 zenon_H155 zenon_H96 zenon_H9e zenon_H126 zenon_H360 zenon_H23 zenon_H40 zenon_H111 zenon_H58 zenon_H173 zenon_H36e zenon_H36b zenon_H142 zenon_H10b zenon_H365 zenon_H180 zenon_H122 zenon_H13a zenon_Hf7 zenon_Hea zenon_Hae zenon_H160 zenon_H72 zenon_H3b0 zenon_H19b zenon_H39a zenon_H214 zenon_H3cc zenon_H33 zenon_H24 zenon_H1f zenon_H20 zenon_H3a.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H25 | zenon_intro zenon_H41 ].
% 49.38/49.56 apply (zenon_L4_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H2c | zenon_intro zenon_H42 ].
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H2b | zenon_intro zenon_H163 ].
% 49.38/49.56 apply (zenon_L6_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H60 | zenon_intro zenon_H164 ].
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H5b | zenon_intro zenon_H165 ].
% 49.38/49.56 apply (zenon_L18_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H61 | zenon_intro zenon_H166 ].
% 49.38/49.56 apply (zenon_L19_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H64 | zenon_intro zenon_Hab ].
% 49.38/49.56 apply (zenon_L20_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H73 | zenon_intro zenon_H167 ].
% 49.38/49.56 apply (zenon_L23_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H75 | zenon_intro zenon_H168 ].
% 49.38/49.56 apply (zenon_L24_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H9a | zenon_intro zenon_Hde ].
% 49.38/49.56 apply (zenon_L677_); trivial.
% 49.38/49.56 apply (zenon_L43_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_He1 | zenon_intro zenon_He7 ].
% 49.38/49.56 apply (zenon_L44_); trivial.
% 49.38/49.56 apply (zenon_L664_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H39 ].
% 49.38/49.56 apply (zenon_L7_); trivial.
% 49.38/49.56 apply (zenon_L8_); trivial.
% 49.38/49.56 (* end of lemma zenon_L678_ *)
% 49.38/49.56 assert (zenon_L679_ : ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((e12) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e11) = (e12))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((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 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((e10) = (e13))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> False).
% 49.38/49.56 do 0 intro. intros zenon_H110 zenon_Hae zenon_Hea zenon_Hf7 zenon_H13a zenon_H122 zenon_H180 zenon_H365 zenon_H10b zenon_H142 zenon_H36b zenon_H36e zenon_H173 zenon_H58 zenon_H111 zenon_H40 zenon_H23 zenon_H360 zenon_H126 zenon_H9e zenon_H96 zenon_H155 zenon_H187 zenon_H16c zenon_H6c zenon_H151 zenon_H8b zenon_H146 zenon_H35d zenon_Hc7 zenon_H362 zenon_H76 zenon_Hd6 zenon_H117 zenon_H353 zenon_H18e zenon_H190 zenon_H15f zenon_H161 zenon_H113 zenon_H11d zenon_H12b zenon_H368 zenon_H4f zenon_He7 zenon_H185 zenon_Hd9 zenon_H135 zenon_H3a zenon_H2d zenon_H15a zenon_H18d zenon_H54 zenon_H33 zenon_Hfd zenon_H108 zenon_He0 zenon_H56 zenon_H63 zenon_H99 zenon_H24 zenon_H1f zenon_H20 zenon_H82.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H17 | zenon_intro zenon_H191 ].
% 49.38/49.56 apply (zenon_L64_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H60 | zenon_intro zenon_H192 ].
% 49.38/49.56 apply (zenon_L659_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H188 | zenon_intro zenon_H18b ].
% 49.38/49.56 apply (zenon_L140_); trivial.
% 49.38/49.56 apply (zenon_L663_); trivial.
% 49.38/49.56 (* end of lemma zenon_L679_ *)
% 49.38/49.56 assert (zenon_L680_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((h3 (e12)) = (e22)) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (e22) (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((h3 (op1 (e11) (e12))) = (op2 (h3 (e11)) (h3 (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (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 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((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) (e10)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (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 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e11))) -> False).
% 49.38/49.56 do 0 intro. intros zenon_H3a9 zenon_H365 zenon_H36e zenon_H368 zenon_H36b zenon_H360 zenon_H35d zenon_H362 zenon_H371 zenon_H3b0 zenon_H19b zenon_H39a zenon_H214 zenon_H3cc zenon_H377 zenon_H387 zenon_H37f zenon_H396 zenon_H37b zenon_H38e zenon_H391 zenon_H161 zenon_H13f zenon_H126 zenon_H122 zenon_H155 zenon_H9e zenon_Hfa zenon_Hf7 zenon_H19 zenon_H173 zenon_H16a zenon_H178 zenon_H40 zenon_H43 zenon_H16b zenon_H4a zenon_H111 zenon_H160 zenon_H182 zenon_H8b zenon_H12b zenon_H154 zenon_H7b zenon_H10b zenon_H142 zenon_H11e zenon_H3a zenon_H135 zenon_H13a zenon_H11d zenon_H117 zenon_H15e zenon_H2d zenon_H58 zenon_H190 zenon_H17a zenon_H82 zenon_H20 zenon_H24 zenon_Hd6 zenon_H76 zenon_H96 zenon_H99 zenon_H18e zenon_Hae zenon_Hea zenon_Hc7 zenon_H63 zenon_He0 zenon_H108 zenon_H185 zenon_Hd9 zenon_H151 zenon_H146 zenon_H15a zenon_H18d zenon_H33 zenon_Hfd zenon_H6c zenon_H67 zenon_H16c zenon_H15f zenon_H1f zenon_H187 zenon_H180 zenon_H23 zenon_H113 zenon_H4f.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H3a9); [ zenon_intro zenon_H18 | zenon_intro zenon_H3aa ].
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H4b | zenon_intro zenon_H16f ].
% 49.38/49.56 apply (zenon_L13_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H4e | zenon_intro zenon_H170 ].
% 49.38/49.56 apply (zenon_L650_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H56 | zenon_intro zenon_He6 ].
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H371); [ zenon_intro zenon_H4b | zenon_intro zenon_H372 ].
% 49.38/49.56 apply (zenon_L13_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H5b | zenon_intro zenon_H373 ].
% 49.38/49.56 apply (zenon_L18_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H373); [ zenon_intro zenon_H353 | zenon_intro zenon_H121 ].
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H72 | zenon_intro zenon_H162 ].
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H25 | zenon_intro zenon_H114 ].
% 49.38/49.56 apply (zenon_L4_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H54 | zenon_intro zenon_H115 ].
% 49.38/49.56 apply (zenon_L678_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H57 | zenon_intro zenon_H8c ].
% 49.38/49.56 apply (zenon_L17_); trivial.
% 49.38/49.56 apply (zenon_L653_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H10e | zenon_intro zenon_H169 ].
% 49.38/49.56 apply (zenon_L665_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_He4 | zenon_intro zenon_H110 ].
% 49.38/49.56 apply (zenon_L45_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H72 | zenon_intro zenon_H397 ].
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H25 | zenon_intro zenon_H114 ].
% 49.38/49.56 apply (zenon_L4_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H54 | zenon_intro zenon_H115 ].
% 49.38/49.56 apply (zenon_L678_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H57 | zenon_intro zenon_H8c ].
% 49.38/49.56 apply (zenon_L648_); trivial.
% 49.38/49.56 apply (zenon_L653_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H73 | zenon_intro zenon_H398 ].
% 49.38/49.56 apply (zenon_L622_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H394 | zenon_intro zenon_H92 ].
% 49.38/49.56 apply (zenon_L642_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H25 | zenon_intro zenon_H114 ].
% 49.38/49.56 apply (zenon_L4_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H54 | zenon_intro zenon_H115 ].
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H25 | zenon_intro zenon_H41 ].
% 49.38/49.56 apply (zenon_L4_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H2c | zenon_intro zenon_H42 ].
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H2b | zenon_intro zenon_H163 ].
% 49.38/49.56 apply (zenon_L6_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H60 | zenon_intro zenon_H164 ].
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H5b | zenon_intro zenon_H165 ].
% 49.38/49.56 apply (zenon_L18_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H61 | zenon_intro zenon_H166 ].
% 49.38/49.56 apply (zenon_L19_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H64 | zenon_intro zenon_Hab ].
% 49.38/49.56 apply (zenon_L20_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H73 | zenon_intro zenon_H167 ].
% 49.38/49.56 apply (zenon_L553_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H75 | zenon_intro zenon_H168 ].
% 49.38/49.56 apply (zenon_L24_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H9a | zenon_intro zenon_Hde ].
% 49.38/49.56 apply (zenon_L677_); trivial.
% 49.38/49.56 apply (zenon_L43_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_He1 | zenon_intro zenon_He7 ].
% 49.38/49.56 apply (zenon_L44_); trivial.
% 49.38/49.56 apply (zenon_L679_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H39 ].
% 49.38/49.56 apply (zenon_L7_); trivial.
% 49.38/49.56 apply (zenon_L8_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H57 | zenon_intro zenon_H8c ].
% 49.38/49.56 apply (zenon_L17_); trivial.
% 49.38/49.56 apply (zenon_L63_); trivial.
% 49.38/49.56 apply (zenon_L70_); trivial.
% 49.38/49.56 apply (zenon_L550_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H3aa); [ zenon_intro zenon_H17 | zenon_intro zenon_H3ab ].
% 49.38/49.56 apply (zenon_L110_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H3ab); [ zenon_intro zenon_H174 | zenon_intro zenon_H177 ].
% 49.38/49.56 apply (zenon_L111_); trivial.
% 49.38/49.56 apply (zenon_L153_); trivial.
% 49.38/49.56 (* end of lemma zenon_L680_ *)
% 49.38/49.56 assert (zenon_L681_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((e20) = (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)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((e20) = (e22))) -> ((op2 (e21) (e21)) = (e20)) -> (~((e10) = (e11))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (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) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((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) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((h3 (op1 (e11) (e12))) = (op2 (h3 (e11)) (h3 (e12))))) -> ((h3 (e11)) = (op2 (e22) (op2 (e22) (e22)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((e21) = (e22))) -> False).
% 49.38/49.56 do 0 intro. intros zenon_H2d9 zenon_H14 zenon_H1ad zenon_H1c9 zenon_H1d0 zenon_H1dd zenon_H2da zenon_H1ec zenon_H19d zenon_H1f0 zenon_H1da zenon_H4f zenon_H113 zenon_H23 zenon_H180 zenon_H187 zenon_H1f zenon_H15f zenon_H16c zenon_H67 zenon_H6c zenon_Hfd zenon_H33 zenon_H18d zenon_H15a zenon_H146 zenon_H151 zenon_Hd9 zenon_H185 zenon_H108 zenon_He0 zenon_H63 zenon_Hc7 zenon_Hea zenon_Hae zenon_H18e zenon_H99 zenon_H96 zenon_H76 zenon_Hd6 zenon_H24 zenon_H20 zenon_H82 zenon_H17a zenon_H190 zenon_H58 zenon_H2d zenon_H15e zenon_H117 zenon_H11d zenon_H13a zenon_H135 zenon_H3a zenon_H11e zenon_H142 zenon_H10b zenon_H7b zenon_H154 zenon_H12b zenon_H8b zenon_H182 zenon_H160 zenon_H111 zenon_H4a zenon_H16b zenon_H43 zenon_H40 zenon_H178 zenon_H16a zenon_H173 zenon_H19 zenon_Hf7 zenon_Hfa zenon_H9e zenon_H155 zenon_H122 zenon_H126 zenon_H13f zenon_H161 zenon_H391 zenon_H38e zenon_H37b zenon_H396 zenon_H37f zenon_H387 zenon_H377 zenon_H3cc zenon_H39a zenon_H19b zenon_H3b0 zenon_H371 zenon_H362 zenon_H35d zenon_H360 zenon_H36b zenon_H368 zenon_H36e zenon_H365 zenon_H3a9 zenon_H210.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H2df ].
% 49.38/49.56 apply (zenon_L170_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H1db | zenon_intro zenon_H2e0 ].
% 49.38/49.56 apply (zenon_L171_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1de | zenon_intro zenon_H225 ].
% 49.38/49.56 apply (zenon_L172_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H1ed | zenon_intro zenon_H2e1 ].
% 49.38/49.56 apply (zenon_L175_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H1ef | zenon_intro zenon_H2e2 ].
% 49.38/49.56 apply (zenon_L176_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H214 | zenon_intro zenon_H258 ].
% 49.38/49.56 apply (zenon_L680_); trivial.
% 49.38/49.56 apply (zenon_L195_); trivial.
% 49.38/49.56 (* end of lemma zenon_L681_ *)
% 49.38/49.56 assert (zenon_L682_ : ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((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)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e23))) -> (~((e22) = (e23))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((e20) = (e21))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((e20) = (e23))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> False).
% 49.38/49.56 do 0 intro. intros zenon_H28a zenon_H228 zenon_H264 zenon_H271 zenon_H2b4 zenon_H29c zenon_H2fa zenon_H31f zenon_H285 zenon_H2bc zenon_H325 zenon_H328 zenon_H2ed zenon_H1d2 zenon_H28b zenon_H1ba zenon_H19d zenon_H31a zenon_H2a0 zenon_H218 zenon_H210 zenon_H2cf zenon_H301 zenon_H2e6 zenon_H1e6 zenon_H2cb zenon_H205 zenon_H2c0 zenon_H317 zenon_H241 zenon_H31c zenon_H1f0 zenon_H250 zenon_H291 zenon_H30d zenon_H308 zenon_H30a zenon_H2d9 zenon_H2db zenon_H28d zenon_H297 zenon_H2a5 zenon_H322 zenon_H1c9 zenon_H261 zenon_H2ff zenon_H253 zenon_H2af zenon_H1b4 zenon_H1a7 zenon_H2d4 zenon_H307 zenon_H1ce zenon_H1ad zenon_H277 zenon_H282 zenon_H25a zenon_H1d0 zenon_H1dd zenon_H213 zenon_H19e zenon_H14 zenon_H19b zenon_H1fc.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H193 | zenon_intro zenon_H30b ].
% 49.38/49.56 apply (zenon_L216_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H30b); [ zenon_intro zenon_H1da | zenon_intro zenon_H30c ].
% 49.38/49.56 apply (zenon_L668_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H30c); [ zenon_intro zenon_H302 | zenon_intro zenon_H305 ].
% 49.38/49.56 apply (zenon_L292_); trivial.
% 49.38/49.56 apply (zenon_L672_); trivial.
% 49.38/49.56 (* end of lemma zenon_L682_ *)
% 49.38/49.56 assert (zenon_L683_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((e20) = (e21))) -> ((op2 (e21) (e21)) = (e20)) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((h3 (op1 (e11) (e13))) = (op2 (h3 (e11)) (h3 (e13))))) -> ((h3 (e11)) = (op2 (e22) (op2 (e22) (e22)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((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 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((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) (e10)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (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 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e11))) -> False).
% 49.38/49.56 do 0 intro. intros zenon_H2d9 zenon_H14 zenon_H1ad zenon_H1c9 zenon_H1da zenon_H1d0 zenon_H1dd zenon_H3a9 zenon_H365 zenon_H36e zenon_H368 zenon_H36b zenon_H360 zenon_H35d zenon_H362 zenon_H371 zenon_H377 zenon_H3d9 zenon_H39a zenon_H19b zenon_H39d zenon_H19e zenon_H37f zenon_H387 zenon_H37b zenon_H396 zenon_H38e zenon_H391 zenon_H161 zenon_H13f zenon_H126 zenon_H122 zenon_H155 zenon_H9e zenon_Hfa zenon_Hf7 zenon_H19 zenon_H173 zenon_H16a zenon_H178 zenon_H40 zenon_H43 zenon_H16b zenon_H4a zenon_H111 zenon_H160 zenon_H182 zenon_H8b zenon_H12b zenon_H154 zenon_H7b zenon_H10b zenon_H142 zenon_H11e zenon_H3a zenon_H135 zenon_H13a zenon_H11d zenon_H117 zenon_H15e zenon_H2d zenon_H58 zenon_H190 zenon_H17a zenon_H82 zenon_H20 zenon_H24 zenon_Hd6 zenon_H76 zenon_H96 zenon_H99 zenon_H18e zenon_Hae zenon_Hea zenon_Hc7 zenon_H63 zenon_He0 zenon_H108 zenon_H185 zenon_Hd9 zenon_H151 zenon_H146 zenon_H15a zenon_H18d zenon_H33 zenon_Hfd zenon_H6c zenon_H67 zenon_H16c zenon_H15f zenon_H1f zenon_H187 zenon_H180 zenon_H23 zenon_H113 zenon_H4f.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H2df ].
% 49.38/49.56 apply (zenon_L170_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H1db | zenon_intro zenon_H2e0 ].
% 49.38/49.56 apply (zenon_L171_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1de | zenon_intro zenon_H225 ].
% 49.38/49.56 apply (zenon_L172_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H3a9); [ zenon_intro zenon_H18 | zenon_intro zenon_H3aa ].
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H4b | zenon_intro zenon_H16f ].
% 49.38/49.56 apply (zenon_L13_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H4e | zenon_intro zenon_H170 ].
% 49.38/49.56 apply (zenon_L650_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H56 | zenon_intro zenon_He6 ].
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H371); [ zenon_intro zenon_H4b | zenon_intro zenon_H372 ].
% 49.38/49.56 apply (zenon_L13_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H5b | zenon_intro zenon_H373 ].
% 49.38/49.56 apply (zenon_L18_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H373); [ zenon_intro zenon_H353 | zenon_intro zenon_H121 ].
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H25 | zenon_intro zenon_H114 ].
% 49.38/49.56 apply (zenon_L4_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H54 | zenon_intro zenon_H115 ].
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H25 | zenon_intro zenon_H41 ].
% 49.38/49.56 apply (zenon_L4_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H2c | zenon_intro zenon_H42 ].
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H2b | zenon_intro zenon_H163 ].
% 49.38/49.56 apply (zenon_L6_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H60 | zenon_intro zenon_H164 ].
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H5b | zenon_intro zenon_H165 ].
% 49.38/49.56 apply (zenon_L18_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H61 | zenon_intro zenon_H166 ].
% 49.38/49.56 apply (zenon_L19_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H64 | zenon_intro zenon_Hab ].
% 49.38/49.56 apply (zenon_L20_); trivial.
% 49.38/49.56 cut (((h3 (e11)) = (op2 (e22) (op2 (e22) (e22)))) = ((h3 (op1 (e11) (e13))) = (op2 (h3 (e11)) (h3 (e13))))).
% 49.38/49.56 intro zenon_D_pnotp.
% 49.38/49.56 apply zenon_H3d9.
% 49.38/49.56 rewrite <- zenon_D_pnotp.
% 49.38/49.56 exact zenon_H39a.
% 49.38/49.56 cut (((op2 (e22) (op2 (e22) (e22))) = (op2 (h3 (e11)) (h3 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3da].
% 49.38/49.56 cut (((h3 (e11)) = (h3 (op1 (e11) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3db].
% 49.38/49.56 congruence.
% 49.38/49.56 elim (classic ((h3 (op1 (e11) (e13))) = (h3 (op1 (e11) (e13))))); [ zenon_intro zenon_H3dc | zenon_intro zenon_H3dd ].
% 49.38/49.56 cut (((h3 (op1 (e11) (e13))) = (h3 (op1 (e11) (e13)))) = ((h3 (e11)) = (h3 (op1 (e11) (e13))))).
% 49.38/49.56 intro zenon_D_pnotp.
% 49.38/49.56 apply zenon_H3db.
% 49.38/49.56 rewrite <- zenon_D_pnotp.
% 49.38/49.56 exact zenon_H3dc.
% 49.38/49.56 cut (((h3 (op1 (e11) (e13))) = (h3 (op1 (e11) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3dd].
% 49.38/49.56 cut (((h3 (op1 (e11) (e13))) = (h3 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H3de].
% 49.38/49.56 congruence.
% 49.38/49.56 cut (((op1 (e11) (e13)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_He8].
% 49.38/49.56 congruence.
% 49.38/49.56 exact (zenon_He8 zenon_Hab).
% 49.38/49.56 apply zenon_H3dd. apply refl_equal.
% 49.38/49.56 apply zenon_H3dd. apply refl_equal.
% 49.38/49.56 elim (classic ((op2 (h3 (e11)) (h3 (e13))) = (op2 (h3 (e11)) (h3 (e13))))); [ zenon_intro zenon_H3df | zenon_intro zenon_H3e0 ].
% 49.38/49.56 cut (((op2 (h3 (e11)) (h3 (e13))) = (op2 (h3 (e11)) (h3 (e13)))) = ((op2 (e22) (op2 (e22) (e22))) = (op2 (h3 (e11)) (h3 (e13))))).
% 49.38/49.56 intro zenon_D_pnotp.
% 49.38/49.56 apply zenon_H3da.
% 49.38/49.56 rewrite <- zenon_D_pnotp.
% 49.38/49.56 exact zenon_H3df.
% 49.38/49.56 cut (((op2 (h3 (e11)) (h3 (e13))) = (op2 (h3 (e11)) (h3 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3e0].
% 49.38/49.56 cut (((op2 (h3 (e11)) (h3 (e13))) = (op2 (e22) (op2 (e22) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H3e1].
% 49.38/49.56 congruence.
% 49.38/49.56 cut (((op2 (e21) (e23)) = (e21)) = ((op2 (h3 (e11)) (h3 (e13))) = (op2 (e22) (op2 (e22) (e22))))).
% 49.38/49.56 intro zenon_D_pnotp.
% 49.38/49.56 apply zenon_H3e1.
% 49.38/49.56 rewrite <- zenon_D_pnotp.
% 49.38/49.56 exact zenon_H225.
% 49.38/49.56 cut (((e21) = (op2 (e22) (op2 (e22) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H3e2].
% 49.38/49.56 cut (((op2 (e21) (e23)) = (op2 (h3 (e11)) (h3 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3e3].
% 49.38/49.56 congruence.
% 49.38/49.56 elim (classic ((op2 (h3 (e11)) (h3 (e13))) = (op2 (h3 (e11)) (h3 (e13))))); [ zenon_intro zenon_H3df | zenon_intro zenon_H3e0 ].
% 49.38/49.56 cut (((op2 (h3 (e11)) (h3 (e13))) = (op2 (h3 (e11)) (h3 (e13)))) = ((op2 (e21) (e23)) = (op2 (h3 (e11)) (h3 (e13))))).
% 49.38/49.56 intro zenon_D_pnotp.
% 49.38/49.56 apply zenon_H3e3.
% 49.38/49.56 rewrite <- zenon_D_pnotp.
% 49.38/49.56 exact zenon_H3df.
% 49.38/49.56 cut (((op2 (h3 (e11)) (h3 (e13))) = (op2 (h3 (e11)) (h3 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3e0].
% 49.38/49.56 cut (((op2 (h3 (e11)) (h3 (e13))) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H3e4].
% 49.38/49.56 congruence.
% 49.38/49.56 cut (((h3 (e13)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H3ac].
% 49.38/49.56 cut (((h3 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H399].
% 49.38/49.56 congruence.
% 49.38/49.56 apply (zenon_L651_); trivial.
% 49.38/49.56 apply (zenon_L656_); trivial.
% 49.38/49.56 apply zenon_H3e0. apply refl_equal.
% 49.38/49.56 apply zenon_H3e0. apply refl_equal.
% 49.38/49.56 exact (zenon_H3e2 zenon_H19b).
% 49.38/49.56 apply zenon_H3e0. apply refl_equal.
% 49.38/49.56 apply zenon_H3e0. apply refl_equal.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_He1 | zenon_intro zenon_He7 ].
% 49.38/49.56 apply (zenon_L44_); trivial.
% 49.38/49.56 apply (zenon_L664_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H39 ].
% 49.38/49.56 apply (zenon_L7_); trivial.
% 49.38/49.56 apply (zenon_L8_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H57 | zenon_intro zenon_H8c ].
% 49.38/49.56 apply (zenon_L17_); trivial.
% 49.38/49.56 apply (zenon_L653_); trivial.
% 49.38/49.56 apply (zenon_L70_); trivial.
% 49.38/49.56 apply (zenon_L550_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H3aa); [ zenon_intro zenon_H17 | zenon_intro zenon_H3ab ].
% 49.38/49.56 apply (zenon_L110_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H3ab); [ zenon_intro zenon_H174 | zenon_intro zenon_H177 ].
% 49.38/49.56 apply (zenon_L111_); trivial.
% 49.38/49.56 apply (zenon_L153_); trivial.
% 49.38/49.56 (* end of lemma zenon_L683_ *)
% 49.38/49.56 assert (zenon_L684_ : (~((h3 (op1 (e12) (e11))) = (op2 (h3 (e12)) (h3 (e11))))) -> ((op1 (e12) (e11)) = (e12)) -> ((op2 (e22) (e21)) = (e22)) -> ((h3 (e12)) = (e22)) -> ((h3 (e11)) = (op2 (e22) (op2 (e22) (e22)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> False).
% 49.38/49.56 do 0 intro. intros zenon_H3e5 zenon_H3e6 zenon_H3e7 zenon_H3b0 zenon_H39a zenon_H19b.
% 49.38/49.56 cut (((h3 (e12)) = (e22)) = ((h3 (op1 (e12) (e11))) = (op2 (h3 (e12)) (h3 (e11))))).
% 49.38/49.56 intro zenon_D_pnotp.
% 49.38/49.56 apply zenon_H3e5.
% 49.38/49.56 rewrite <- zenon_D_pnotp.
% 49.38/49.56 exact zenon_H3b0.
% 49.38/49.56 cut (((e22) = (op2 (h3 (e12)) (h3 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3e8].
% 49.38/49.56 cut (((h3 (e12)) = (h3 (op1 (e12) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3e9].
% 49.38/49.56 congruence.
% 49.38/49.56 elim (classic ((h3 (op1 (e12) (e11))) = (h3 (op1 (e12) (e11))))); [ zenon_intro zenon_H3ea | zenon_intro zenon_H3eb ].
% 49.38/49.56 cut (((h3 (op1 (e12) (e11))) = (h3 (op1 (e12) (e11)))) = ((h3 (e12)) = (h3 (op1 (e12) (e11))))).
% 49.38/49.56 intro zenon_D_pnotp.
% 49.38/49.56 apply zenon_H3e9.
% 49.38/49.56 rewrite <- zenon_D_pnotp.
% 49.38/49.56 exact zenon_H3ea.
% 49.38/49.56 cut (((h3 (op1 (e12) (e11))) = (h3 (op1 (e12) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3eb].
% 49.38/49.56 cut (((h3 (op1 (e12) (e11))) = (h3 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3ec].
% 49.38/49.56 congruence.
% 49.38/49.56 cut (((op1 (e12) (e11)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H3ed].
% 49.38/49.56 congruence.
% 49.38/49.56 exact (zenon_H3ed zenon_H3e6).
% 49.38/49.56 apply zenon_H3eb. apply refl_equal.
% 49.38/49.56 apply zenon_H3eb. apply refl_equal.
% 49.38/49.56 elim (classic ((op2 (h3 (e12)) (h3 (e11))) = (op2 (h3 (e12)) (h3 (e11))))); [ zenon_intro zenon_H3ee | zenon_intro zenon_H3ef ].
% 49.38/49.56 cut (((op2 (h3 (e12)) (h3 (e11))) = (op2 (h3 (e12)) (h3 (e11)))) = ((e22) = (op2 (h3 (e12)) (h3 (e11))))).
% 49.38/49.56 intro zenon_D_pnotp.
% 49.38/49.56 apply zenon_H3e8.
% 49.38/49.56 rewrite <- zenon_D_pnotp.
% 49.38/49.56 exact zenon_H3ee.
% 49.38/49.56 cut (((op2 (h3 (e12)) (h3 (e11))) = (op2 (h3 (e12)) (h3 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3ef].
% 49.38/49.56 cut (((op2 (h3 (e12)) (h3 (e11))) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H3f0].
% 49.38/49.56 congruence.
% 49.38/49.56 cut (((op2 (e22) (e21)) = (e22)) = ((op2 (h3 (e12)) (h3 (e11))) = (e22))).
% 49.38/49.56 intro zenon_D_pnotp.
% 49.38/49.56 apply zenon_H3f0.
% 49.38/49.56 rewrite <- zenon_D_pnotp.
% 49.38/49.56 exact zenon_H3e7.
% 49.38/49.56 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1c2].
% 49.38/49.56 cut (((op2 (e22) (e21)) = (op2 (h3 (e12)) (h3 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3f1].
% 49.38/49.56 congruence.
% 49.38/49.56 elim (classic ((op2 (h3 (e12)) (h3 (e11))) = (op2 (h3 (e12)) (h3 (e11))))); [ zenon_intro zenon_H3ee | zenon_intro zenon_H3ef ].
% 49.38/49.56 cut (((op2 (h3 (e12)) (h3 (e11))) = (op2 (h3 (e12)) (h3 (e11)))) = ((op2 (e22) (e21)) = (op2 (h3 (e12)) (h3 (e11))))).
% 49.38/49.56 intro zenon_D_pnotp.
% 49.38/49.56 apply zenon_H3f1.
% 49.38/49.56 rewrite <- zenon_D_pnotp.
% 49.38/49.56 exact zenon_H3ee.
% 49.38/49.56 cut (((op2 (h3 (e12)) (h3 (e11))) = (op2 (h3 (e12)) (h3 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3ef].
% 49.38/49.56 cut (((op2 (h3 (e12)) (h3 (e11))) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H3f2].
% 49.38/49.56 congruence.
% 49.38/49.56 cut (((h3 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H399].
% 49.38/49.56 cut (((h3 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H3d8].
% 49.38/49.56 congruence.
% 49.38/49.56 exact (zenon_H3d8 zenon_H3b0).
% 49.38/49.56 apply (zenon_L651_); trivial.
% 49.38/49.56 apply zenon_H3ef. apply refl_equal.
% 49.38/49.56 apply zenon_H3ef. apply refl_equal.
% 49.38/49.56 apply zenon_H1c2. apply refl_equal.
% 49.38/49.56 apply zenon_H3ef. apply refl_equal.
% 49.38/49.56 apply zenon_H3ef. apply refl_equal.
% 49.38/49.56 (* end of lemma zenon_L684_ *)
% 49.38/49.56 assert (zenon_L685_ : (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e12) = (e13))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (e22) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> ((op2 (e22) (e21)) = (e22)) -> (~((h3 (op1 (e12) (e11))) = (op2 (h3 (e12)) (h3 (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False).
% 49.38/49.56 do 0 intro. intros zenon_H82 zenon_H99 zenon_H63 zenon_H56 zenon_He0 zenon_H108 zenon_Hfd zenon_H54 zenon_H18d zenon_H15a zenon_H2d zenon_H135 zenon_Hd9 zenon_H185 zenon_H4f zenon_H368 zenon_H12b zenon_H11d zenon_H113 zenon_H161 zenon_H15f zenon_H190 zenon_H18e zenon_H353 zenon_H117 zenon_Hd6 zenon_H76 zenon_H362 zenon_Hc7 zenon_H35d zenon_H146 zenon_H8b zenon_H151 zenon_H6c zenon_H16c zenon_H187 zenon_H155 zenon_H96 zenon_H9e zenon_H126 zenon_H360 zenon_H23 zenon_H40 zenon_H111 zenon_H58 zenon_H173 zenon_H36e zenon_H36b zenon_H142 zenon_H10b zenon_H365 zenon_H180 zenon_H122 zenon_H13a zenon_Hf7 zenon_Hea zenon_Hae zenon_H3f3 zenon_H19b zenon_H39a zenon_H3b0 zenon_H3e7 zenon_H3e5 zenon_H377 zenon_H18 zenon_H33 zenon_H24 zenon_H1f zenon_H20 zenon_H3a.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H25 | zenon_intro zenon_H41 ].
% 49.38/49.56 apply (zenon_L4_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H2c | zenon_intro zenon_H42 ].
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H2b | zenon_intro zenon_H163 ].
% 49.38/49.56 apply (zenon_L6_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H60 | zenon_intro zenon_H164 ].
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H3f3); [ zenon_intro zenon_H10e | zenon_intro zenon_H3f4 ].
% 49.38/49.56 apply (zenon_L544_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H3f4); [ zenon_intro zenon_H75 | zenon_intro zenon_H3f5 ].
% 49.38/49.56 apply (zenon_L24_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H3f5); [ zenon_intro zenon_H3e6 | zenon_intro zenon_H95 ].
% 49.38/49.56 apply (zenon_L684_); trivial.
% 49.38/49.56 apply (zenon_L604_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_He1 | zenon_intro zenon_He7 ].
% 49.38/49.56 apply (zenon_L44_); trivial.
% 49.38/49.56 apply (zenon_L664_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H39 ].
% 49.38/49.56 apply (zenon_L7_); trivial.
% 49.38/49.56 apply (zenon_L8_); trivial.
% 49.38/49.56 (* end of lemma zenon_L685_ *)
% 49.38/49.56 assert (zenon_L686_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (e22) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> ((op2 (e22) (e21)) = (e22)) -> (~((h3 (op1 (e12) (e11))) = (op2 (h3 (e12)) (h3 (e11))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((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 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((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) (e10)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (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 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e11))) -> False).
% 49.38/49.56 do 0 intro. intros zenon_H3a9 zenon_H365 zenon_H36e zenon_H368 zenon_H36b zenon_H360 zenon_H35d zenon_H362 zenon_H371 zenon_H377 zenon_H3f3 zenon_H19b zenon_H39a zenon_H3b0 zenon_H3e7 zenon_H3e5 zenon_H37f zenon_H387 zenon_H37b zenon_H396 zenon_H38e zenon_H391 zenon_H161 zenon_H13f zenon_H126 zenon_H122 zenon_H155 zenon_H9e zenon_Hfa zenon_Hf7 zenon_H19 zenon_H173 zenon_H16a zenon_H178 zenon_H40 zenon_H43 zenon_H16b zenon_H4a zenon_H111 zenon_H160 zenon_H182 zenon_H8b zenon_H12b zenon_H154 zenon_H7b zenon_H10b zenon_H142 zenon_H11e zenon_H3a zenon_H135 zenon_H13a zenon_H11d zenon_H117 zenon_H15e zenon_H2d zenon_H58 zenon_H190 zenon_H17a zenon_H82 zenon_H20 zenon_H24 zenon_Hd6 zenon_H76 zenon_H96 zenon_H99 zenon_H18e zenon_Hae zenon_Hea zenon_Hc7 zenon_H63 zenon_He0 zenon_H108 zenon_H185 zenon_Hd9 zenon_H151 zenon_H146 zenon_H15a zenon_H18d zenon_H33 zenon_Hfd zenon_H6c zenon_H67 zenon_H16c zenon_H15f zenon_H1f zenon_H187 zenon_H180 zenon_H23 zenon_H113 zenon_H4f.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H3a9); [ zenon_intro zenon_H18 | zenon_intro zenon_H3aa ].
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H4b | zenon_intro zenon_H16f ].
% 49.38/49.56 apply (zenon_L13_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H4e | zenon_intro zenon_H170 ].
% 49.38/49.56 apply (zenon_L650_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H56 | zenon_intro zenon_He6 ].
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H371); [ zenon_intro zenon_H4b | zenon_intro zenon_H372 ].
% 49.38/49.56 apply (zenon_L13_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H5b | zenon_intro zenon_H373 ].
% 49.38/49.56 apply (zenon_L18_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H373); [ zenon_intro zenon_H353 | zenon_intro zenon_H121 ].
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H25 | zenon_intro zenon_H114 ].
% 49.38/49.56 apply (zenon_L4_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H54 | zenon_intro zenon_H115 ].
% 49.38/49.56 apply (zenon_L685_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H57 | zenon_intro zenon_H8c ].
% 49.38/49.56 apply (zenon_L17_); trivial.
% 49.38/49.56 apply (zenon_L653_); trivial.
% 49.38/49.56 apply (zenon_L70_); trivial.
% 49.38/49.56 apply (zenon_L550_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H3aa); [ zenon_intro zenon_H17 | zenon_intro zenon_H3ab ].
% 49.38/49.56 apply (zenon_L110_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H3ab); [ zenon_intro zenon_H174 | zenon_intro zenon_H177 ].
% 49.38/49.56 apply (zenon_L111_); trivial.
% 49.38/49.56 apply (zenon_L153_); trivial.
% 49.38/49.56 (* end of lemma zenon_L686_ *)
% 49.38/49.56 assert (zenon_L687_ : (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((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)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((e21) = (e23))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (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) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e22) (e20)) = (e21)) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e20) = (e23))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((e22) = (e23))) -> ((op2 (e20) (e21)) = (e23)) -> (~((e20) = (e22))) -> ((op2 (e21) (e21)) = (e20)) -> (~((e10) = (e11))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (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) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((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) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((h3 (op1 (e12) (e11))) = (op2 (h3 (e12)) (h3 (e11))))) -> ((h3 (e12)) = (e22)) -> ((h3 (e11)) = (op2 (e22) (op2 (e22) (e22)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((e21) = (e22))) -> False).
% 49.38/49.56 do 0 intro. intros zenon_H1b4 zenon_H19e zenon_H1ad zenon_H348 zenon_H2e4 zenon_H1bd zenon_H2e5 zenon_H1c4 zenon_H2f4 zenon_H342 zenon_H2f2 zenon_H1ec zenon_H291 zenon_H2b4 zenon_H218 zenon_H308 zenon_H228 zenon_H2af zenon_H264 zenon_H2d8 zenon_H2da zenon_H194 zenon_H195 zenon_H2fa zenon_H31f zenon_H328 zenon_H2ed zenon_H285 zenon_H2bc zenon_H2ce zenon_H1f5 zenon_H322 zenon_H325 zenon_H2b9 zenon_H298 zenon_H297 zenon_H2fc zenon_H1d2 zenon_H1ba zenon_H19d zenon_H1fc zenon_H1dd zenon_H213 zenon_H25a zenon_H282 zenon_H31a zenon_H2a0 zenon_H29c zenon_H2cf zenon_H301 zenon_H2e6 zenon_H277 zenon_H307 zenon_H2d4 zenon_H2cb zenon_H205 zenon_H2c0 zenon_H253 zenon_H2ff zenon_H317 zenon_H241 zenon_H31c zenon_H2a5 zenon_H250 zenon_H30d zenon_H30a zenon_H2d9 zenon_H2db zenon_H28d zenon_H271 zenon_H331 zenon_H274 zenon_H336 zenon_H33a zenon_H1e1 zenon_H1a7 zenon_H32b zenon_H1c9 zenon_H1e6 zenon_H14 zenon_H3f6 zenon_H28b zenon_H1ce zenon_H1f0 zenon_H1da zenon_H4f zenon_H113 zenon_H23 zenon_H180 zenon_H187 zenon_H1f zenon_H15f zenon_H16c zenon_H67 zenon_H6c zenon_Hfd zenon_H33 zenon_H18d zenon_H15a zenon_H146 zenon_H151 zenon_Hd9 zenon_H185 zenon_H108 zenon_He0 zenon_H63 zenon_Hc7 zenon_Hea zenon_Hae zenon_H18e zenon_H99 zenon_H96 zenon_H76 zenon_Hd6 zenon_H24 zenon_H20 zenon_H82 zenon_H17a zenon_H190 zenon_H58 zenon_H2d zenon_H15e zenon_H117 zenon_H11d zenon_H13a zenon_H135 zenon_H3a zenon_H11e zenon_H142 zenon_H10b zenon_H7b zenon_H154 zenon_H12b zenon_H8b zenon_H182 zenon_H160 zenon_H111 zenon_H4a zenon_H16b zenon_H43 zenon_H40 zenon_H178 zenon_H16a zenon_H173 zenon_H19 zenon_Hf7 zenon_Hfa zenon_H9e zenon_H155 zenon_H122 zenon_H126 zenon_H13f zenon_H161 zenon_H391 zenon_H38e zenon_H396 zenon_H37b zenon_H387 zenon_H37f zenon_H3e5 zenon_H3b0 zenon_H39a zenon_H19b zenon_H3f3 zenon_H377 zenon_H371 zenon_H362 zenon_H35d zenon_H360 zenon_H36b zenon_H368 zenon_H36e zenon_H365 zenon_H3a9 zenon_H210.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H2eb ].
% 49.38/49.56 apply (zenon_L464_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H1db | zenon_intro zenon_H2ec ].
% 49.38/49.56 apply (zenon_L171_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H20e ].
% 49.38/49.56 apply (zenon_L174_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H3f6); [ zenon_intro zenon_H288 | zenon_intro zenon_H3f7 ].
% 49.38/49.56 apply (zenon_L373_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H3f7); [ zenon_intro zenon_H1ef | zenon_intro zenon_H3f8 ].
% 49.38/49.56 apply (zenon_L176_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H3f8); [ zenon_intro zenon_H3e7 | zenon_intro zenon_H20f ].
% 49.38/49.56 apply (zenon_L686_); trivial.
% 49.38/49.56 apply (zenon_L182_); trivial.
% 49.38/49.56 (* end of lemma zenon_L687_ *)
% 49.38/49.56 assert (zenon_L688_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((e22) = (e23))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> (~((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)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((e20) = (e21))) -> (~((e21) = (e23))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((e21) = (e22))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> ((op2 (e20) (e21)) = (e22)) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e23) (e20)) = (e22)) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((e20) = (e23))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False).
% 49.38/49.56 do 0 intro. intros zenon_H28d zenon_H28b zenon_H1ba zenon_H19d zenon_H1fc zenon_H213 zenon_H1dd zenon_H1d0 zenon_H25a zenon_H282 zenon_H253 zenon_H205 zenon_H277 zenon_H228 zenon_H1e6 zenon_H218 zenon_H264 zenon_H1c9 zenon_H1d2 zenon_H271 zenon_H274 zenon_H210 zenon_H285 zenon_H2d9 zenon_H2e6 zenon_H288 zenon_H2da zenon_H20c zenon_H317 zenon_H241 zenon_H1f0 zenon_H250 zenon_H291 zenon_H308 zenon_H1f5 zenon_H307 zenon_H2ce zenon_H33a zenon_H336 zenon_H2ff zenon_H1a7 zenon_H2db zenon_H1ad zenon_H19e zenon_H14 zenon_H19b zenon_H1b4.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H19f | zenon_intro zenon_H28e ].
% 49.38/49.56 apply (zenon_L156_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28f ].
% 49.38/49.56 apply (zenon_L373_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H206 ].
% 49.38/49.56 apply (zenon_L169_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ].
% 49.38/49.56 apply (zenon_L156_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ].
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2dd ].
% 49.38/49.56 apply (zenon_L158_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1da | zenon_intro zenon_H2de ].
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H2df ].
% 49.38/49.56 apply (zenon_L170_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H1db | zenon_intro zenon_H2e0 ].
% 49.38/49.56 apply (zenon_L171_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1de | zenon_intro zenon_H225 ].
% 49.38/49.56 apply (zenon_L172_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H2eb ].
% 49.38/49.56 apply (zenon_L294_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H1db | zenon_intro zenon_H2ec ].
% 49.38/49.56 apply (zenon_L171_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H20e ].
% 49.38/49.56 apply (zenon_L174_); trivial.
% 49.38/49.56 apply (zenon_L667_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H25b | zenon_intro zenon_H261 ].
% 49.38/49.56 apply (zenon_L196_); trivial.
% 49.38/49.56 apply (zenon_L213_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ].
% 49.38/49.56 apply (zenon_L159_); trivial.
% 49.38/49.56 apply (zenon_L160_); trivial.
% 49.38/49.56 (* end of lemma zenon_L688_ *)
% 49.38/49.56 assert (zenon_L689_ : (~((h3 (op1 (e12) (e13))) = (op2 (h3 (e12)) (h3 (e13))))) -> ((op1 (e12) (e13)) = (e13)) -> ((op2 (e22) (e23)) = (e23)) -> ((h3 (e12)) = (e22)) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> False).
% 49.38/49.56 do 0 intro. intros zenon_H3f9 zenon_Hfb zenon_H275 zenon_H3b0 zenon_H39d zenon_H19e.
% 49.38/49.56 cut (((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) = ((h3 (op1 (e12) (e13))) = (op2 (h3 (e12)) (h3 (e13))))).
% 49.38/49.56 intro zenon_D_pnotp.
% 49.38/49.56 apply zenon_H3f9.
% 49.38/49.56 rewrite <- zenon_D_pnotp.
% 49.38/49.56 exact zenon_H39d.
% 49.38/49.56 cut (((op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22))) = (op2 (h3 (e12)) (h3 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3fa].
% 49.38/49.56 cut (((h3 (e13)) = (h3 (op1 (e12) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3fb].
% 49.38/49.56 congruence.
% 49.38/49.56 elim (classic ((h3 (op1 (e12) (e13))) = (h3 (op1 (e12) (e13))))); [ zenon_intro zenon_H3fc | zenon_intro zenon_H3fd ].
% 49.38/49.56 cut (((h3 (op1 (e12) (e13))) = (h3 (op1 (e12) (e13)))) = ((h3 (e13)) = (h3 (op1 (e12) (e13))))).
% 49.38/49.56 intro zenon_D_pnotp.
% 49.38/49.56 apply zenon_H3fb.
% 49.38/49.56 rewrite <- zenon_D_pnotp.
% 49.38/49.56 exact zenon_H3fc.
% 49.38/49.56 cut (((h3 (op1 (e12) (e13))) = (h3 (op1 (e12) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3fd].
% 49.38/49.56 cut (((h3 (op1 (e12) (e13))) = (h3 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H3fe].
% 49.38/49.56 congruence.
% 49.38/49.56 cut (((op1 (e12) (e13)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H14c].
% 49.38/49.56 congruence.
% 49.38/49.56 exact (zenon_H14c zenon_Hfb).
% 49.38/49.56 apply zenon_H3fd. apply refl_equal.
% 49.38/49.56 apply zenon_H3fd. apply refl_equal.
% 49.38/49.56 elim (classic ((op2 (h3 (e12)) (h3 (e13))) = (op2 (h3 (e12)) (h3 (e13))))); [ zenon_intro zenon_H3ff | zenon_intro zenon_H400 ].
% 49.38/49.56 cut (((op2 (h3 (e12)) (h3 (e13))) = (op2 (h3 (e12)) (h3 (e13)))) = ((op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22))) = (op2 (h3 (e12)) (h3 (e13))))).
% 49.38/49.56 intro zenon_D_pnotp.
% 49.38/49.56 apply zenon_H3fa.
% 49.38/49.56 rewrite <- zenon_D_pnotp.
% 49.38/49.56 exact zenon_H3ff.
% 49.38/49.56 cut (((op2 (h3 (e12)) (h3 (e13))) = (op2 (h3 (e12)) (h3 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H400].
% 49.38/49.56 cut (((op2 (h3 (e12)) (h3 (e13))) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H401].
% 49.38/49.56 congruence.
% 49.38/49.56 cut (((op2 (e22) (e23)) = (e23)) = ((op2 (h3 (e12)) (h3 (e13))) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22))))).
% 49.38/49.56 intro zenon_D_pnotp.
% 49.38/49.56 apply zenon_H401.
% 49.38/49.56 rewrite <- zenon_D_pnotp.
% 49.38/49.56 exact zenon_H275.
% 49.38/49.56 cut (((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H3a6].
% 49.38/49.56 cut (((op2 (e22) (e23)) = (op2 (h3 (e12)) (h3 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H402].
% 49.38/49.56 congruence.
% 49.38/49.56 elim (classic ((op2 (h3 (e12)) (h3 (e13))) = (op2 (h3 (e12)) (h3 (e13))))); [ zenon_intro zenon_H3ff | zenon_intro zenon_H400 ].
% 49.38/49.56 cut (((op2 (h3 (e12)) (h3 (e13))) = (op2 (h3 (e12)) (h3 (e13)))) = ((op2 (e22) (e23)) = (op2 (h3 (e12)) (h3 (e13))))).
% 49.38/49.56 intro zenon_D_pnotp.
% 49.38/49.56 apply zenon_H402.
% 49.38/49.56 rewrite <- zenon_D_pnotp.
% 49.38/49.56 exact zenon_H3ff.
% 49.38/49.56 cut (((op2 (h3 (e12)) (h3 (e13))) = (op2 (h3 (e12)) (h3 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H400].
% 49.38/49.56 cut (((op2 (h3 (e12)) (h3 (e13))) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H403].
% 49.38/49.56 congruence.
% 49.38/49.56 cut (((h3 (e13)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H3ac].
% 49.38/49.56 cut (((h3 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H3d8].
% 49.38/49.56 congruence.
% 49.38/49.56 exact (zenon_H3d8 zenon_H3b0).
% 49.38/49.56 apply (zenon_L656_); trivial.
% 49.38/49.56 apply zenon_H400. apply refl_equal.
% 49.38/49.56 apply zenon_H400. apply refl_equal.
% 49.38/49.56 exact (zenon_H3a6 zenon_H19e).
% 49.38/49.56 apply zenon_H400. apply refl_equal.
% 49.38/49.56 apply zenon_H400. apply refl_equal.
% 49.38/49.56 (* end of lemma zenon_L689_ *)
% 49.38/49.56 assert (zenon_L690_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((h3 (op1 (e12) (e13))) = (op2 (h3 (e12)) (h3 (e13))))) -> ((op2 (e22) (e23)) = (e23)) -> ((h3 (e12)) = (e22)) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((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 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((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) (e10)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (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 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e11))) -> False).
% 49.38/49.56 do 0 intro. intros zenon_H3a9 zenon_H365 zenon_H36e zenon_H368 zenon_H36b zenon_H360 zenon_H35d zenon_H362 zenon_H371 zenon_H377 zenon_H37f zenon_H387 zenon_H3f9 zenon_H275 zenon_H3b0 zenon_H39d zenon_H19e zenon_H37b zenon_H396 zenon_H38e zenon_H391 zenon_H161 zenon_H13f zenon_H126 zenon_H122 zenon_H155 zenon_H9e zenon_Hfa zenon_Hf7 zenon_H19 zenon_H173 zenon_H16a zenon_H178 zenon_H40 zenon_H43 zenon_H16b zenon_H4a zenon_H111 zenon_H160 zenon_H182 zenon_H8b zenon_H12b zenon_H154 zenon_H7b zenon_H10b zenon_H142 zenon_H11e zenon_H3a zenon_H135 zenon_H13a zenon_H11d zenon_H117 zenon_H15e zenon_H2d zenon_H58 zenon_H190 zenon_H17a zenon_H82 zenon_H20 zenon_H24 zenon_Hd6 zenon_H76 zenon_H96 zenon_H99 zenon_H18e zenon_Hae zenon_Hea zenon_Hc7 zenon_H63 zenon_He0 zenon_H108 zenon_H185 zenon_Hd9 zenon_H151 zenon_H146 zenon_H15a zenon_H18d zenon_H33 zenon_Hfd zenon_H6c zenon_H67 zenon_H16c zenon_H15f zenon_H1f zenon_H187 zenon_H180 zenon_H23 zenon_H113 zenon_H4f.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H3a9); [ zenon_intro zenon_H18 | zenon_intro zenon_H3aa ].
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H4b | zenon_intro zenon_H16f ].
% 49.38/49.56 apply (zenon_L13_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H4e | zenon_intro zenon_H170 ].
% 49.38/49.56 apply (zenon_L650_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H56 | zenon_intro zenon_He6 ].
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H371); [ zenon_intro zenon_H4b | zenon_intro zenon_H372 ].
% 49.38/49.56 apply (zenon_L13_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H5b | zenon_intro zenon_H373 ].
% 49.38/49.56 apply (zenon_L18_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H373); [ zenon_intro zenon_H353 | zenon_intro zenon_H121 ].
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H25 | zenon_intro zenon_H114 ].
% 49.38/49.56 apply (zenon_L4_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H54 | zenon_intro zenon_H115 ].
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H25 | zenon_intro zenon_H41 ].
% 49.38/49.56 apply (zenon_L4_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H2c | zenon_intro zenon_H42 ].
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H2b | zenon_intro zenon_H163 ].
% 49.38/49.56 apply (zenon_L6_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H60 | zenon_intro zenon_H164 ].
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H5b | zenon_intro zenon_H165 ].
% 49.38/49.56 apply (zenon_L18_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H61 | zenon_intro zenon_H166 ].
% 49.38/49.56 apply (zenon_L19_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H64 | zenon_intro zenon_Hab ].
% 49.38/49.56 apply (zenon_L20_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H4e | zenon_intro zenon_H171 ].
% 49.38/49.56 apply (zenon_L113_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H61 | zenon_intro zenon_H172 ].
% 49.38/49.56 apply (zenon_L19_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H6b | zenon_intro zenon_H94 ].
% 49.38/49.56 apply (zenon_L22_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hfe ].
% 49.38/49.56 apply (zenon_L7_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hff ].
% 49.38/49.56 apply (zenon_L144_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H89 | zenon_intro zenon_Hfb ].
% 49.38/49.56 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H92 | zenon_intro zenon_Hd7 ].
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H8c | zenon_intro zenon_H152 ].
% 49.38/49.56 apply (zenon_L658_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H145 | zenon_intro zenon_H153 ].
% 49.38/49.56 apply (zenon_L93_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_Hfb | zenon_intro zenon_H12c ].
% 49.38/49.56 apply (zenon_L689_); trivial.
% 49.38/49.56 apply (zenon_L104_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H95 | zenon_intro zenon_Hd8 ].
% 49.38/49.56 apply (zenon_L30_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hc8 ].
% 49.38/49.56 apply (zenon_L60_); trivial.
% 49.38/49.56 apply (zenon_L571_); trivial.
% 49.38/49.56 apply (zenon_L689_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_He1 | zenon_intro zenon_He7 ].
% 49.38/49.56 apply (zenon_L44_); trivial.
% 49.38/49.56 apply (zenon_L664_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H39 ].
% 49.38/49.56 apply (zenon_L7_); trivial.
% 49.38/49.56 apply (zenon_L8_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H57 | zenon_intro zenon_H8c ].
% 49.38/49.56 apply (zenon_L17_); trivial.
% 49.38/49.56 apply (zenon_L653_); trivial.
% 49.38/49.56 apply (zenon_L70_); trivial.
% 49.38/49.56 apply (zenon_L550_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H3aa); [ zenon_intro zenon_H17 | zenon_intro zenon_H3ab ].
% 49.38/49.56 apply (zenon_L110_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H3ab); [ zenon_intro zenon_H174 | zenon_intro zenon_H177 ].
% 49.38/49.56 apply (zenon_L111_); trivial.
% 49.38/49.56 apply (zenon_L153_); trivial.
% 49.38/49.56 (* end of lemma zenon_L690_ *)
% 49.38/49.56 assert (zenon_L691_ : ((h3 (e12)) = (e22)) -> ((op1 (e13) (e10)) = (e12)) -> (~((e22) = (h3 (op1 (e13) (e10))))) -> False).
% 49.38/49.56 do 0 intro. intros zenon_H3b0 zenon_H92 zenon_H404.
% 49.38/49.56 elim (classic ((h3 (op1 (e13) (e10))) = (h3 (op1 (e13) (e10))))); [ zenon_intro zenon_H405 | zenon_intro zenon_H406 ].
% 49.38/49.56 cut (((h3 (op1 (e13) (e10))) = (h3 (op1 (e13) (e10)))) = ((e22) = (h3 (op1 (e13) (e10))))).
% 49.38/49.56 intro zenon_D_pnotp.
% 49.38/49.56 apply zenon_H404.
% 49.38/49.56 rewrite <- zenon_D_pnotp.
% 49.38/49.56 exact zenon_H405.
% 49.38/49.56 cut (((h3 (op1 (e13) (e10))) = (h3 (op1 (e13) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H406].
% 49.38/49.56 cut (((h3 (op1 (e13) (e10))) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H407].
% 49.38/49.56 congruence.
% 49.38/49.56 cut (((h3 (e12)) = (e22)) = ((h3 (op1 (e13) (e10))) = (e22))).
% 49.38/49.56 intro zenon_D_pnotp.
% 49.38/49.56 apply zenon_H407.
% 49.38/49.56 rewrite <- zenon_D_pnotp.
% 49.38/49.56 exact zenon_H3b0.
% 49.38/49.56 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1c2].
% 49.38/49.56 cut (((h3 (e12)) = (h3 (op1 (e13) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H408].
% 49.38/49.56 congruence.
% 49.38/49.56 elim (classic ((h3 (op1 (e13) (e10))) = (h3 (op1 (e13) (e10))))); [ zenon_intro zenon_H405 | zenon_intro zenon_H406 ].
% 49.38/49.56 cut (((h3 (op1 (e13) (e10))) = (h3 (op1 (e13) (e10)))) = ((h3 (e12)) = (h3 (op1 (e13) (e10))))).
% 49.38/49.56 intro zenon_D_pnotp.
% 49.38/49.56 apply zenon_H408.
% 49.38/49.56 rewrite <- zenon_D_pnotp.
% 49.38/49.56 exact zenon_H405.
% 49.38/49.56 cut (((h3 (op1 (e13) (e10))) = (h3 (op1 (e13) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H406].
% 49.38/49.56 cut (((h3 (op1 (e13) (e10))) = (h3 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H409].
% 49.38/49.56 congruence.
% 49.38/49.56 cut (((op1 (e13) (e10)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H93].
% 49.38/49.56 congruence.
% 49.38/49.56 exact (zenon_H93 zenon_H92).
% 49.38/49.56 apply zenon_H406. apply refl_equal.
% 49.38/49.56 apply zenon_H406. apply refl_equal.
% 49.38/49.56 apply zenon_H1c2. apply refl_equal.
% 49.38/49.56 apply zenon_H406. apply refl_equal.
% 49.38/49.56 apply zenon_H406. apply refl_equal.
% 49.38/49.56 (* end of lemma zenon_L691_ *)
% 49.38/49.56 assert (zenon_L692_ : ((op2 (e23) (e20)) = (e22)) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e10)) = (op2 (e22) (e22))) -> ((e20) = (op2 (e22) (e22))) -> ((h3 (e12)) = (e22)) -> ((op1 (e13) (e10)) = (e12)) -> (~((h3 (op1 (e13) (e10))) = (op2 (h3 (e13)) (h3 (e10))))) -> False).
% 49.38/49.56 do 0 intro. intros zenon_H20c zenon_H39d zenon_H19e zenon_H13 zenon_H14 zenon_H3b0 zenon_H92 zenon_H40a.
% 49.38/49.56 elim (classic ((op2 (h3 (e13)) (h3 (e10))) = (op2 (h3 (e13)) (h3 (e10))))); [ zenon_intro zenon_H40b | zenon_intro zenon_H40c ].
% 49.38/49.56 cut (((op2 (h3 (e13)) (h3 (e10))) = (op2 (h3 (e13)) (h3 (e10)))) = ((h3 (op1 (e13) (e10))) = (op2 (h3 (e13)) (h3 (e10))))).
% 49.38/49.56 intro zenon_D_pnotp.
% 49.38/49.56 apply zenon_H40a.
% 49.38/49.56 rewrite <- zenon_D_pnotp.
% 49.38/49.56 exact zenon_H40b.
% 49.38/49.56 cut (((op2 (h3 (e13)) (h3 (e10))) = (op2 (h3 (e13)) (h3 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H40c].
% 49.38/49.56 cut (((op2 (h3 (e13)) (h3 (e10))) = (h3 (op1 (e13) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H40d].
% 49.38/49.56 congruence.
% 49.38/49.56 cut (((op2 (e23) (e20)) = (e22)) = ((op2 (h3 (e13)) (h3 (e10))) = (h3 (op1 (e13) (e10))))).
% 49.38/49.56 intro zenon_D_pnotp.
% 49.38/49.56 apply zenon_H40d.
% 49.38/49.56 rewrite <- zenon_D_pnotp.
% 49.38/49.56 exact zenon_H20c.
% 49.38/49.56 cut (((e22) = (h3 (op1 (e13) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H404].
% 49.38/49.56 cut (((op2 (e23) (e20)) = (op2 (h3 (e13)) (h3 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H40e].
% 49.38/49.56 congruence.
% 49.38/49.56 elim (classic ((op2 (h3 (e13)) (h3 (e10))) = (op2 (h3 (e13)) (h3 (e10))))); [ zenon_intro zenon_H40b | zenon_intro zenon_H40c ].
% 49.38/49.56 cut (((op2 (h3 (e13)) (h3 (e10))) = (op2 (h3 (e13)) (h3 (e10)))) = ((op2 (e23) (e20)) = (op2 (h3 (e13)) (h3 (e10))))).
% 49.38/49.56 intro zenon_D_pnotp.
% 49.38/49.56 apply zenon_H40e.
% 49.38/49.56 rewrite <- zenon_D_pnotp.
% 49.38/49.56 exact zenon_H40b.
% 49.38/49.56 cut (((op2 (h3 (e13)) (h3 (e10))) = (op2 (h3 (e13)) (h3 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H40c].
% 49.38/49.56 cut (((op2 (h3 (e13)) (h3 (e10))) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H40f].
% 49.38/49.56 congruence.
% 49.38/49.56 cut (((h3 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H12].
% 49.38/49.56 cut (((h3 (e13)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H3ac].
% 49.38/49.56 congruence.
% 49.38/49.56 apply (zenon_L656_); trivial.
% 49.38/49.56 apply (zenon_L1_); trivial.
% 49.38/49.56 apply zenon_H40c. apply refl_equal.
% 49.38/49.56 apply zenon_H40c. apply refl_equal.
% 49.38/49.56 apply (zenon_L691_); trivial.
% 49.38/49.56 apply zenon_H40c. apply refl_equal.
% 49.38/49.56 apply zenon_H40c. apply refl_equal.
% 49.38/49.56 (* end of lemma zenon_L692_ *)
% 49.38/49.56 assert (zenon_L693_ : (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((h3 (op1 (e13) (e10))) = (op2 (h3 (e13)) (h3 (e10))))) -> ((h3 (e12)) = (e22)) -> ((e20) = (op2 (e22) (e22))) -> ((h3 (e10)) = (op2 (e22) (e22))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e23) (e20)) = (e22)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False).
% 49.38/49.56 do 0 intro. intros zenon_Hd6 zenon_H40a zenon_H3b0 zenon_H14 zenon_H13 zenon_H19e zenon_H39d zenon_H20c zenon_H180 zenon_H9a zenon_H99 zenon_H365 zenon_H377 zenon_H18 zenon_H122 zenon_H13a zenon_H24 zenon_H1f zenon_H20 zenon_H3a.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H92 | zenon_intro zenon_Hd7 ].
% 49.38/49.56 apply (zenon_L692_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H95 | zenon_intro zenon_Hd8 ].
% 49.38/49.56 apply (zenon_L604_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hc8 ].
% 49.38/49.56 apply (zenon_L31_); trivial.
% 49.38/49.56 apply (zenon_L571_); trivial.
% 49.38/49.56 (* end of lemma zenon_L693_ *)
% 49.38/49.56 assert (zenon_L694_ : (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e10) (e10)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((e10) = (e12))) -> ((op1 (e11) (e11)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op2 (e23) (e20)) = (e22)) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e10)) = (op2 (e22) (e22))) -> ((e20) = (op2 (e22) (e22))) -> ((h3 (e12)) = (e22)) -> (~((h3 (op1 (e13) (e10))) = (op2 (h3 (e13)) (h3 (e10))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e11) (e13)) = (e11)) -> (~((e11) = (e12))) -> False).
% 49.38/49.56 do 0 intro. intros zenon_H160 zenon_H72 zenon_H23 zenon_H76 zenon_H60 zenon_H3a zenon_H20 zenon_H1f zenon_H24 zenon_H13a zenon_H122 zenon_H18 zenon_H377 zenon_H365 zenon_H99 zenon_H180 zenon_H20c zenon_H39d zenon_H19e zenon_H13 zenon_H14 zenon_H3b0 zenon_H40a zenon_Hd6 zenon_Hab zenon_H96.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H73 | zenon_intro zenon_H167 ].
% 49.38/49.56 apply (zenon_L23_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H75 | zenon_intro zenon_H168 ].
% 49.38/49.56 apply (zenon_L24_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H9a | zenon_intro zenon_Hde ].
% 49.38/49.56 apply (zenon_L693_); trivial.
% 49.38/49.56 apply (zenon_L43_); trivial.
% 49.38/49.56 (* end of lemma zenon_L694_ *)
% 49.38/49.56 assert (zenon_L695_ : (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> ((op1 (e11) (e11)) = (e10)) -> (~((e11) = (e13))) -> ((op1 (e13) (e11)) = (e11)) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((h3 (op1 (e13) (e10))) = (op2 (h3 (e13)) (h3 (e10))))) -> ((h3 (e12)) = (e22)) -> ((e20) = (op2 (e22) (e22))) -> ((h3 (e10)) = (op2 (e22) (e22))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e23) (e20)) = (e22)) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> False).
% 49.38/49.56 do 0 intro. intros zenon_H160 zenon_H3a zenon_H13a zenon_H122 zenon_H18 zenon_H377 zenon_H365 zenon_H108 zenon_He0 zenon_H63 zenon_H180 zenon_H76 zenon_H60 zenon_H58 zenon_H94 zenon_Hd9 zenon_H56 zenon_H82 zenon_H8b zenon_Hd6 zenon_H40a zenon_H3b0 zenon_H14 zenon_H13 zenon_H19e zenon_H39d zenon_H20c zenon_H96 zenon_H99 zenon_H9e zenon_Hab zenon_Hae zenon_H6c zenon_H24 zenon_Hc7 zenon_H7b zenon_Hfd zenon_H33 zenon_H18d zenon_H154 zenon_H387 zenon_H37f zenon_Hea zenon_H1f zenon_H20 zenon_H185 zenon_Hfa zenon_H8c.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H73 | zenon_intro zenon_H167 ].
% 49.38/49.56 apply (zenon_L622_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H75 | zenon_intro zenon_H168 ].
% 49.38/49.56 apply (zenon_L24_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H9a | zenon_intro zenon_Hde ].
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ].
% 49.38/49.56 apply (zenon_L574_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ].
% 49.38/49.56 apply (zenon_L25_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ].
% 49.38/49.56 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H57 | zenon_intro zenon_Hda ].
% 49.38/49.56 apply (zenon_L17_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H81 | zenon_intro zenon_Hdb ].
% 49.38/49.56 apply (zenon_L26_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H89 | zenon_intro zenon_Haf ].
% 49.38/49.56 apply (zenon_L28_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H92 | zenon_intro zenon_Hd7 ].
% 49.38/49.56 apply (zenon_L692_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H95 | zenon_intro zenon_Hd8 ].
% 49.38/49.56 apply (zenon_L30_); trivial.
% 49.38/49.56 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hc8 ].
% 49.38/49.56 apply (zenon_L31_); trivial.
% 49.38/49.56 apply (zenon_L39_); trivial.
% 49.38/49.56 apply (zenon_L42_); trivial.
% 49.38/49.56 apply (zenon_L569_); trivial.
% 49.38/49.56 (* end of lemma zenon_L695_ *)
% 49.38/49.56 assert (zenon_L696_ : (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((e10) = (e13))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op2 (e23) (e20)) = (e22)) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e10)) = (op2 (e22) (e22))) -> ((e20) = (op2 (e22) (e22))) -> ((h3 (e12)) = (e22)) -> (~((h3 (op1 (e13) (e10))) = (op2 (h3 (e13)) (h3 (e10))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e11) = (e13))) -> (~((e10) = (e11))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (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)) = (e13)) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> False).
% 49.38/49.57 do 0 intro. intros zenon_H161 zenon_H2d zenon_H2c zenon_H185 zenon_H37f zenon_H387 zenon_H154 zenon_H18d zenon_H7b zenon_Hc7 zenon_H20c zenon_H39d zenon_H19e zenon_H13 zenon_H14 zenon_H3b0 zenon_H40a zenon_Hd6 zenon_H76 zenon_H180 zenon_H365 zenon_H377 zenon_H18 zenon_H122 zenon_H13a zenon_H3a zenon_H160 zenon_H67 zenon_H16c zenon_H15f zenon_H10b zenon_H96 zenon_Hfa zenon_Hf7 zenon_H58 zenon_H4f zenon_Hea zenon_H9e zenon_H6c zenon_Hae zenon_H33 zenon_Hfd zenon_H8b zenon_H8c zenon_Hd9 zenon_H108 zenon_He0 zenon_H56 zenon_H63 zenon_H99 zenon_H24 zenon_H1f zenon_H20 zenon_H82.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H2b | zenon_intro zenon_H163 ].
% 49.38/49.57 apply (zenon_L6_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H60 | zenon_intro zenon_H164 ].
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H5b | zenon_intro zenon_H165 ].
% 49.38/49.57 apply (zenon_L18_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H61 | zenon_intro zenon_H166 ].
% 49.38/49.57 apply (zenon_L19_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H64 | zenon_intro zenon_Hab ].
% 49.38/49.57 apply (zenon_L20_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H4e | zenon_intro zenon_H171 ].
% 49.38/49.57 apply (zenon_L21_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H61 | zenon_intro zenon_H172 ].
% 49.38/49.57 apply (zenon_L19_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H6b | zenon_intro zenon_H94 ].
% 49.38/49.57 apply (zenon_L22_); trivial.
% 49.38/49.57 apply (zenon_L695_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_He1 | zenon_intro zenon_He7 ].
% 49.38/49.57 apply (zenon_L44_); trivial.
% 49.38/49.57 apply (zenon_L61_); trivial.
% 49.38/49.57 (* end of lemma zenon_L696_ *)
% 49.38/49.57 assert (zenon_L697_ : (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> ((op1 (e13) (e13)) = (e12)) -> False).
% 49.38/49.57 do 0 intro. intros zenon_H9e zenon_H110 zenon_Hc8.
% 49.38/49.57 cut (((op1 (e10) (e13)) = (e12)) = ((op1 (e10) (e13)) = (op1 (e13) (e13)))).
% 49.38/49.57 intro zenon_D_pnotp.
% 49.38/49.57 apply zenon_H9e.
% 49.38/49.57 rewrite <- zenon_D_pnotp.
% 49.38/49.57 exact zenon_H110.
% 49.38/49.57 cut (((e12) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hcf].
% 49.38/49.57 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H8f].
% 49.38/49.57 congruence.
% 49.38/49.57 apply zenon_H8f. apply refl_equal.
% 49.38/49.57 apply zenon_Hcf. apply sym_equal. exact zenon_Hc8.
% 49.38/49.57 (* end of lemma zenon_L697_ *)
% 49.38/49.57 assert (zenon_L698_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((h3 (op1 (e13) (e10))) = (op2 (h3 (e13)) (h3 (e10))))) -> ((h3 (e12)) = (e22)) -> ((e20) = (op2 (e22) (e22))) -> ((h3 (e10)) = (op2 (e22) (e22))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e23) (e20)) = (e22)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((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 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((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) (e10)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (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 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e11))) -> False).
% 49.38/49.57 do 0 intro. intros zenon_H3a9 zenon_H365 zenon_H36e zenon_H368 zenon_H36b zenon_H360 zenon_H35d zenon_H362 zenon_H371 zenon_H40a zenon_H3b0 zenon_H14 zenon_H13 zenon_H19e zenon_H39d zenon_H20c zenon_H377 zenon_H387 zenon_H37f zenon_H396 zenon_H37b zenon_H391 zenon_H38e zenon_H161 zenon_H13f zenon_H126 zenon_H122 zenon_H155 zenon_H9e zenon_Hfa zenon_Hf7 zenon_H19 zenon_H173 zenon_H16a zenon_H178 zenon_H40 zenon_H43 zenon_H16b zenon_H4a zenon_H111 zenon_H160 zenon_H182 zenon_H8b zenon_H12b zenon_H154 zenon_H7b zenon_H10b zenon_H142 zenon_H11e zenon_H3a zenon_H135 zenon_H13a zenon_H11d zenon_H117 zenon_H15e zenon_H2d zenon_H58 zenon_H190 zenon_H17a zenon_H82 zenon_H20 zenon_H24 zenon_Hd6 zenon_H76 zenon_H96 zenon_H99 zenon_H18e zenon_Hae zenon_Hea zenon_Hc7 zenon_H63 zenon_He0 zenon_H108 zenon_H185 zenon_Hd9 zenon_H151 zenon_H146 zenon_H15a zenon_H18d zenon_H33 zenon_Hfd zenon_H6c zenon_H67 zenon_H16c zenon_H15f zenon_H1f zenon_H187 zenon_H180 zenon_H23 zenon_H113 zenon_H4f.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H3a9); [ zenon_intro zenon_H18 | zenon_intro zenon_H3aa ].
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H4b | zenon_intro zenon_H16f ].
% 49.38/49.57 apply (zenon_L13_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H4e | zenon_intro zenon_H170 ].
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H371); [ zenon_intro zenon_H4b | zenon_intro zenon_H372 ].
% 49.38/49.57 apply (zenon_L13_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H5b | zenon_intro zenon_H373 ].
% 49.38/49.57 apply (zenon_L18_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H373); [ zenon_intro zenon_H353 | zenon_intro zenon_H121 ].
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H72 | zenon_intro zenon_H162 ].
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H25 | zenon_intro zenon_H114 ].
% 49.38/49.57 apply (zenon_L4_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H54 | zenon_intro zenon_H115 ].
% 49.38/49.57 apply (zenon_L113_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H57 | zenon_intro zenon_H8c ].
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H25 | zenon_intro zenon_H41 ].
% 49.38/49.57 apply (zenon_L4_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H2c | zenon_intro zenon_H42 ].
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H2b | zenon_intro zenon_H163 ].
% 49.38/49.57 apply (zenon_L6_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H60 | zenon_intro zenon_H164 ].
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H5b | zenon_intro zenon_H165 ].
% 49.38/49.57 apply (zenon_L18_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H61 | zenon_intro zenon_H166 ].
% 49.38/49.57 apply (zenon_L19_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H64 | zenon_intro zenon_Hab ].
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H73 | zenon_intro zenon_H167 ].
% 49.38/49.57 apply (zenon_L23_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H75 | zenon_intro zenon_H168 ].
% 49.38/49.57 apply (zenon_L24_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H9a | zenon_intro zenon_Hde ].
% 49.38/49.57 apply (zenon_L68_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ].
% 49.38/49.57 apply (zenon_L113_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ].
% 49.38/49.57 apply (zenon_L25_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ].
% 49.38/49.57 apply (zenon_L593_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_He4 | zenon_intro zenon_H10c ].
% 49.38/49.57 apply (zenon_L69_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H9a | zenon_intro zenon_H10d ].
% 49.38/49.57 apply (zenon_L693_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H101 | zenon_intro zenon_H9b ].
% 49.38/49.57 apply (zenon_L57_); trivial.
% 49.38/49.57 apply (zenon_L597_); trivial.
% 49.38/49.57 apply (zenon_L694_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_He1 | zenon_intro zenon_He7 ].
% 49.38/49.57 apply (zenon_L44_); trivial.
% 49.38/49.57 apply (zenon_L621_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H39 ].
% 49.38/49.57 apply (zenon_L7_); trivial.
% 49.38/49.57 apply (zenon_L8_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H25 | zenon_intro zenon_H41 ].
% 49.38/49.57 apply (zenon_L4_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H2c | zenon_intro zenon_H42 ].
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H2b | zenon_intro zenon_H163 ].
% 49.38/49.57 apply (zenon_L6_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H60 | zenon_intro zenon_H164 ].
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H73 | zenon_intro zenon_H167 ].
% 49.38/49.57 apply (zenon_L23_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H75 | zenon_intro zenon_H168 ].
% 49.38/49.57 apply (zenon_L24_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H9a | zenon_intro zenon_Hde ].
% 49.38/49.57 apply (zenon_L693_); trivial.
% 49.38/49.57 apply (zenon_L569_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_He1 | zenon_intro zenon_He7 ].
% 49.38/49.57 apply (zenon_L44_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H17 | zenon_intro zenon_H191 ].
% 49.38/49.57 apply (zenon_L14_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H60 | zenon_intro zenon_H192 ].
% 49.38/49.57 apply (zenon_L581_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H188 | zenon_intro zenon_H18b ].
% 49.38/49.57 apply (zenon_L140_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ].
% 49.38/49.57 apply (zenon_L574_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ].
% 49.38/49.57 apply (zenon_L25_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ].
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H56 | zenon_intro zenon_H158 ].
% 49.38/49.57 apply (zenon_L696_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H64 | zenon_intro zenon_H159 ].
% 49.38/49.57 apply (zenon_L628_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H13d | zenon_intro zenon_H11b ].
% 49.38/49.57 apply (zenon_L636_); trivial.
% 49.38/49.57 apply (zenon_L632_); trivial.
% 49.38/49.57 apply (zenon_L504_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H39 ].
% 49.38/49.57 apply (zenon_L7_); trivial.
% 49.38/49.57 apply (zenon_L8_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H10e | zenon_intro zenon_H169 ].
% 49.38/49.57 apply (zenon_L142_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_He4 | zenon_intro zenon_H110 ].
% 49.38/49.57 apply (zenon_L646_); trivial.
% 49.38/49.57 apply (zenon_L649_); trivial.
% 49.38/49.57 apply (zenon_L70_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H56 | zenon_intro zenon_He6 ].
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H371); [ zenon_intro zenon_H4b | zenon_intro zenon_H372 ].
% 49.38/49.57 apply (zenon_L13_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H5b | zenon_intro zenon_H373 ].
% 49.38/49.57 apply (zenon_L18_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H373); [ zenon_intro zenon_H353 | zenon_intro zenon_H121 ].
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H72 | zenon_intro zenon_H162 ].
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H25 | zenon_intro zenon_H114 ].
% 49.38/49.57 apply (zenon_L4_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H54 | zenon_intro zenon_H115 ].
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H25 | zenon_intro zenon_H41 ].
% 49.38/49.57 apply (zenon_L4_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H2c | zenon_intro zenon_H42 ].
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H2b | zenon_intro zenon_H163 ].
% 49.38/49.57 apply (zenon_L6_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H60 | zenon_intro zenon_H164 ].
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H5b | zenon_intro zenon_H165 ].
% 49.38/49.57 apply (zenon_L18_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H61 | zenon_intro zenon_H166 ].
% 49.38/49.57 apply (zenon_L19_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H64 | zenon_intro zenon_Hab ].
% 49.38/49.57 apply (zenon_L20_); trivial.
% 49.38/49.57 apply (zenon_L694_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_He1 | zenon_intro zenon_He7 ].
% 49.38/49.57 apply (zenon_L44_); trivial.
% 49.38/49.57 apply (zenon_L664_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H39 ].
% 49.38/49.57 apply (zenon_L7_); trivial.
% 49.38/49.57 apply (zenon_L8_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H57 | zenon_intro zenon_H8c ].
% 49.38/49.57 apply (zenon_L17_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H25 | zenon_intro zenon_H41 ].
% 49.38/49.57 apply (zenon_L4_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H2c | zenon_intro zenon_H42 ].
% 49.38/49.57 apply (zenon_L696_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H39 ].
% 49.38/49.57 apply (zenon_L7_); trivial.
% 49.38/49.57 apply (zenon_L8_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H10e | zenon_intro zenon_H169 ].
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H25 | zenon_intro zenon_H114 ].
% 49.38/49.57 apply (zenon_L4_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H54 | zenon_intro zenon_H115 ].
% 49.38/49.57 apply (zenon_L544_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H57 | zenon_intro zenon_H8c ].
% 49.38/49.57 apply (zenon_L17_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H25 | zenon_intro zenon_H41 ].
% 49.38/49.57 apply (zenon_L4_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H2c | zenon_intro zenon_H42 ].
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H2b | zenon_intro zenon_H163 ].
% 49.38/49.57 apply (zenon_L6_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H60 | zenon_intro zenon_H164 ].
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H5b | zenon_intro zenon_H165 ].
% 49.38/49.57 apply (zenon_L18_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H61 | zenon_intro zenon_H166 ].
% 49.38/49.57 apply (zenon_L19_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H64 | zenon_intro zenon_Hab ].
% 49.38/49.57 apply (zenon_L20_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H4e | zenon_intro zenon_H171 ].
% 49.38/49.57 apply (zenon_L142_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H61 | zenon_intro zenon_H172 ].
% 49.38/49.57 apply (zenon_L19_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H6b | zenon_intro zenon_H94 ].
% 49.38/49.57 apply (zenon_L22_); trivial.
% 49.38/49.57 apply (zenon_L695_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_He1 | zenon_intro zenon_He7 ].
% 49.38/49.57 apply (zenon_L44_); trivial.
% 49.38/49.57 apply (zenon_L61_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H39 ].
% 49.38/49.57 apply (zenon_L7_); trivial.
% 49.38/49.57 apply (zenon_L8_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_He4 | zenon_intro zenon_H110 ].
% 49.38/49.57 apply (zenon_L45_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H72 | zenon_intro zenon_H397 ].
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H25 | zenon_intro zenon_H114 ].
% 49.38/49.57 apply (zenon_L4_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H54 | zenon_intro zenon_H115 ].
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H25 | zenon_intro zenon_H41 ].
% 49.38/49.57 apply (zenon_L4_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H2c | zenon_intro zenon_H42 ].
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H2b | zenon_intro zenon_H163 ].
% 49.38/49.57 apply (zenon_L6_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H60 | zenon_intro zenon_H164 ].
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H5b | zenon_intro zenon_H165 ].
% 49.38/49.57 apply (zenon_L18_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H61 | zenon_intro zenon_H166 ].
% 49.38/49.57 apply (zenon_L19_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H64 | zenon_intro zenon_Hab ].
% 49.38/49.57 apply (zenon_L20_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H73 | zenon_intro zenon_H167 ].
% 49.38/49.57 apply (zenon_L622_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H75 | zenon_intro zenon_H168 ].
% 49.38/49.57 apply (zenon_L24_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H9a | zenon_intro zenon_Hde ].
% 49.38/49.57 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H92 | zenon_intro zenon_Hd7 ].
% 49.38/49.57 apply (zenon_L692_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H95 | zenon_intro zenon_Hd8 ].
% 49.38/49.57 apply (zenon_L604_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hc8 ].
% 49.38/49.57 apply (zenon_L31_); trivial.
% 49.38/49.57 apply (zenon_L697_); trivial.
% 49.38/49.57 apply (zenon_L43_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_He1 | zenon_intro zenon_He7 ].
% 49.38/49.57 apply (zenon_L44_); trivial.
% 49.38/49.57 apply (zenon_L679_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H39 ].
% 49.38/49.57 apply (zenon_L7_); trivial.
% 49.38/49.57 apply (zenon_L8_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H57 | zenon_intro zenon_H8c ].
% 49.38/49.57 apply (zenon_L648_); trivial.
% 49.38/49.57 apply (zenon_L63_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H73 | zenon_intro zenon_H398 ].
% 49.38/49.57 apply (zenon_L622_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H394 | zenon_intro zenon_H92 ].
% 49.38/49.57 apply (zenon_L642_); trivial.
% 49.38/49.57 apply (zenon_L692_); trivial.
% 49.38/49.57 apply (zenon_L70_); trivial.
% 49.38/49.57 apply (zenon_L550_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H3aa); [ zenon_intro zenon_H17 | zenon_intro zenon_H3ab ].
% 49.38/49.57 apply (zenon_L110_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H3ab); [ zenon_intro zenon_H174 | zenon_intro zenon_H177 ].
% 49.38/49.57 apply (zenon_L111_); trivial.
% 49.38/49.57 apply (zenon_L153_); trivial.
% 49.38/49.57 (* end of lemma zenon_L698_ *)
% 49.38/49.57 assert (zenon_L699_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e10) = (e11))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (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) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((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 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e10)) = (op2 (e22) (e22))) -> ((h3 (e12)) = (e22)) -> (~((h3 (op1 (e13) (e10))) = (op2 (h3 (e13)) (h3 (e10))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False).
% 49.38/49.57 do 0 intro. intros zenon_H250 zenon_H4f zenon_H113 zenon_H23 zenon_H180 zenon_H187 zenon_H1f zenon_H15f zenon_H16c zenon_H67 zenon_H6c zenon_Hfd zenon_H33 zenon_H18d zenon_H15a zenon_H146 zenon_H151 zenon_Hd9 zenon_H185 zenon_H108 zenon_He0 zenon_H63 zenon_Hc7 zenon_Hea zenon_Hae zenon_H18e zenon_H99 zenon_H96 zenon_H76 zenon_Hd6 zenon_H24 zenon_H20 zenon_H82 zenon_H17a zenon_H190 zenon_H58 zenon_H2d zenon_H15e zenon_H117 zenon_H11d zenon_H13a zenon_H135 zenon_H3a zenon_H11e zenon_H142 zenon_H10b zenon_H7b zenon_H154 zenon_H12b zenon_H8b zenon_H182 zenon_H160 zenon_H111 zenon_H4a zenon_H16b zenon_H43 zenon_H40 zenon_H178 zenon_H16a zenon_H173 zenon_H19 zenon_Hf7 zenon_Hfa zenon_H9e zenon_H155 zenon_H122 zenon_H126 zenon_H13f zenon_H161 zenon_H38e zenon_H391 zenon_H37b zenon_H396 zenon_H37f zenon_H387 zenon_H377 zenon_H39d zenon_H13 zenon_H3b0 zenon_H40a zenon_H371 zenon_H362 zenon_H35d zenon_H360 zenon_H36b zenon_H368 zenon_H36e zenon_H365 zenon_H3a9 zenon_H2fa zenon_H214 zenon_H213 zenon_H31f zenon_H331 zenon_H194 zenon_H29c zenon_H2b4 zenon_H19e zenon_H14 zenon_H19b zenon_H1b4.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H20c | zenon_intro zenon_H251 ].
% 49.38/49.57 apply (zenon_L698_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H20f | zenon_intro zenon_H252 ].
% 49.38/49.57 apply (zenon_L435_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H215 | zenon_intro zenon_H242 ].
% 49.38/49.57 apply (zenon_L183_); trivial.
% 49.38/49.57 apply (zenon_L391_); trivial.
% 49.38/49.57 (* end of lemma zenon_L699_ *)
% 49.38/49.57 assert (zenon_L700_ : (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((e20) = (e22))) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((h3 (op1 (e13) (e10))) = (op2 (h3 (e13)) (h3 (e10))))) -> ((h3 (e12)) = (e22)) -> ((h3 (e10)) = (op2 (e22) (e22))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((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 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((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) (e10)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (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 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e11))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e21) (e23)) = (e21)) -> (~((e21) = (e22))) -> False).
% 49.38/49.57 do 0 intro. intros zenon_H2da zenon_H1ec zenon_H19d zenon_H1f0 zenon_H1da zenon_H1b4 zenon_H19b zenon_H14 zenon_H19e zenon_H2b4 zenon_H29c zenon_H194 zenon_H331 zenon_H31f zenon_H213 zenon_H2fa zenon_H3a9 zenon_H365 zenon_H36e zenon_H368 zenon_H36b zenon_H360 zenon_H35d zenon_H362 zenon_H371 zenon_H40a zenon_H3b0 zenon_H13 zenon_H39d zenon_H377 zenon_H387 zenon_H37f zenon_H396 zenon_H37b zenon_H391 zenon_H38e zenon_H161 zenon_H13f zenon_H126 zenon_H122 zenon_H155 zenon_H9e zenon_Hfa zenon_Hf7 zenon_H19 zenon_H173 zenon_H16a zenon_H178 zenon_H40 zenon_H43 zenon_H16b zenon_H4a zenon_H111 zenon_H160 zenon_H182 zenon_H8b zenon_H12b zenon_H154 zenon_H7b zenon_H10b zenon_H142 zenon_H11e zenon_H3a zenon_H135 zenon_H13a zenon_H11d zenon_H117 zenon_H15e zenon_H2d zenon_H58 zenon_H190 zenon_H17a zenon_H82 zenon_H20 zenon_H24 zenon_Hd6 zenon_H76 zenon_H96 zenon_H99 zenon_H18e zenon_Hae zenon_Hea zenon_Hc7 zenon_H63 zenon_He0 zenon_H108 zenon_H185 zenon_Hd9 zenon_H151 zenon_H146 zenon_H15a zenon_H18d zenon_H33 zenon_Hfd zenon_H6c zenon_H67 zenon_H16c zenon_H15f zenon_H1f zenon_H187 zenon_H180 zenon_H23 zenon_H113 zenon_H4f zenon_H250 zenon_H225 zenon_H210.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H1ed | zenon_intro zenon_H2e1 ].
% 49.38/49.57 apply (zenon_L175_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H1ef | zenon_intro zenon_H2e2 ].
% 49.38/49.57 apply (zenon_L176_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H214 | zenon_intro zenon_H258 ].
% 49.38/49.57 apply (zenon_L699_); trivial.
% 49.38/49.57 apply (zenon_L195_); trivial.
% 49.38/49.57 (* end of lemma zenon_L700_ *)
% 49.38/49.57 assert (zenon_L701_ : (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((e20) = (e22))) -> ((op2 (e21) (e21)) = (e20)) -> (~((e21) = (e23))) -> ((op2 (e23) (e21)) = (e21)) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e10) = (e11))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (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) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((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 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e10)) = (op2 (e22) (e22))) -> ((h3 (e12)) = (e22)) -> (~((h3 (op1 (e13) (e10))) = (op2 (h3 (e13)) (h3 (e10))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> False).
% 49.38/49.57 do 0 intro. intros zenon_H2da zenon_H1b4 zenon_H2b4 zenon_H29c zenon_H194 zenon_H331 zenon_H31f zenon_H282 zenon_H25a zenon_H1dd zenon_H2fa zenon_H1f0 zenon_H1da zenon_H1d2 zenon_H20e zenon_H253 zenon_H1d0 zenon_H1fc zenon_H205 zenon_H250 zenon_H4f zenon_H113 zenon_H23 zenon_H180 zenon_H187 zenon_H1f zenon_H15f zenon_H16c zenon_H67 zenon_H6c zenon_Hfd zenon_H33 zenon_H18d zenon_H15a zenon_H146 zenon_H151 zenon_Hd9 zenon_H185 zenon_H108 zenon_He0 zenon_H63 zenon_Hc7 zenon_Hea zenon_Hae zenon_H18e zenon_H99 zenon_H96 zenon_H76 zenon_Hd6 zenon_H24 zenon_H20 zenon_H82 zenon_H17a zenon_H190 zenon_H58 zenon_H2d zenon_H15e zenon_H117 zenon_H11d zenon_H13a zenon_H135 zenon_H3a zenon_H11e zenon_H142 zenon_H10b zenon_H7b zenon_H154 zenon_H12b zenon_H8b zenon_H182 zenon_H160 zenon_H111 zenon_H4a zenon_H16b zenon_H43 zenon_H40 zenon_H178 zenon_H16a zenon_H173 zenon_H19 zenon_Hf7 zenon_Hfa zenon_H9e zenon_H155 zenon_H122 zenon_H126 zenon_H13f zenon_H161 zenon_H38e zenon_H391 zenon_H37b zenon_H396 zenon_H37f zenon_H387 zenon_H377 zenon_H39d zenon_H13 zenon_H3b0 zenon_H40a zenon_H371 zenon_H362 zenon_H35d zenon_H360 zenon_H36b zenon_H368 zenon_H36e zenon_H365 zenon_H3a9 zenon_H210 zenon_H213 zenon_H218 zenon_H225 zenon_H228 zenon_H1e6 zenon_H19e zenon_H241 zenon_H1f5 zenon_H277 zenon_H1ad zenon_H307 zenon_H2ce zenon_H33a zenon_H336 zenon_H264 zenon_H14 zenon_H19b zenon_H2ff zenon_H274 zenon_H206.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H1ed | zenon_intro zenon_H2e1 ].
% 49.38/49.57 apply (zenon_L445_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H1ef | zenon_intro zenon_H2e2 ].
% 49.38/49.57 apply (zenon_L176_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H214 | zenon_intro zenon_H258 ].
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d0 ].
% 49.38/49.57 apply (zenon_L444_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H2d1 ].
% 49.38/49.57 apply (zenon_L177_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H238 | zenon_intro zenon_H256 ].
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H254 ].
% 49.38/49.57 apply (zenon_L169_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1fb | zenon_intro zenon_H255 ].
% 49.38/49.57 apply (zenon_L178_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H203 | zenon_intro zenon_H229 ].
% 49.38/49.57 apply (zenon_L180_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H20c | zenon_intro zenon_H251 ].
% 49.38/49.57 apply (zenon_L698_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H20f | zenon_intro zenon_H252 ].
% 49.38/49.57 apply (zenon_L182_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H215 | zenon_intro zenon_H242 ].
% 49.38/49.57 apply (zenon_L183_); trivial.
% 49.38/49.57 apply (zenon_L191_); trivial.
% 49.38/49.57 apply (zenon_L194_); trivial.
% 49.38/49.57 apply (zenon_L388_); trivial.
% 49.38/49.57 (* end of lemma zenon_L701_ *)
% 49.38/49.57 assert (zenon_L702_ : (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((e20) = (e23))) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((h3 (op1 (e13) (e10))) = (op2 (h3 (e13)) (h3 (e10))))) -> ((h3 (e12)) = (e22)) -> ((h3 (e10)) = (op2 (e22) (e22))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((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 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((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) (e10)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (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 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e11))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((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) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e21) = (e23))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> False).
% 49.38/49.57 do 0 intro. intros zenon_H2db zenon_H1a7 zenon_H1a6 zenon_H2ff zenon_H336 zenon_H33a zenon_H2ce zenon_H307 zenon_H1f5 zenon_H241 zenon_H3a9 zenon_H365 zenon_H36e zenon_H368 zenon_H36b zenon_H360 zenon_H35d zenon_H362 zenon_H371 zenon_H40a zenon_H3b0 zenon_H13 zenon_H39d zenon_H377 zenon_H387 zenon_H37f zenon_H396 zenon_H37b zenon_H391 zenon_H38e zenon_H161 zenon_H13f zenon_H126 zenon_H122 zenon_H155 zenon_H9e zenon_Hfa zenon_Hf7 zenon_H19 zenon_H173 zenon_H16a zenon_H178 zenon_H40 zenon_H43 zenon_H16b zenon_H4a zenon_H111 zenon_H160 zenon_H182 zenon_H8b zenon_H12b zenon_H154 zenon_H7b zenon_H10b zenon_H142 zenon_H11e zenon_H3a zenon_H135 zenon_H13a zenon_H11d zenon_H117 zenon_H15e zenon_H2d zenon_H58 zenon_H190 zenon_H17a zenon_H82 zenon_H20 zenon_H24 zenon_Hd6 zenon_H76 zenon_H96 zenon_H99 zenon_H18e zenon_Hae zenon_Hea zenon_Hc7 zenon_H63 zenon_He0 zenon_H108 zenon_H185 zenon_Hd9 zenon_H151 zenon_H146 zenon_H15a zenon_H18d zenon_H33 zenon_Hfd zenon_H6c zenon_H67 zenon_H16c zenon_H15f zenon_H1f zenon_H187 zenon_H180 zenon_H23 zenon_H113 zenon_H4f zenon_H250 zenon_H1f0 zenon_H2fa zenon_H31f zenon_H331 zenon_H194 zenon_H29c zenon_H2b4 zenon_H1b4 zenon_H2da zenon_H1e1 zenon_H2e6 zenon_H2d9 zenon_H285 zenon_H210 zenon_H274 zenon_H271 zenon_H1d2 zenon_H1c9 zenon_H264 zenon_H218 zenon_H1e6 zenon_H228 zenon_H1ad zenon_H277 zenon_H205 zenon_H206 zenon_H253 zenon_H282 zenon_H25a zenon_H1d0 zenon_H1dd zenon_H213 zenon_H19e zenon_H14 zenon_H19b zenon_H1fc.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2dd ].
% 49.38/49.57 apply (zenon_L158_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1da | zenon_intro zenon_H2de ].
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H2df ].
% 49.38/49.57 apply (zenon_L170_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H1db | zenon_intro zenon_H2e0 ].
% 49.38/49.57 apply (zenon_L171_); trivial.
% 49.38/49.57 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1de | zenon_intro zenon_H225 ].
% 49.38/49.58 apply (zenon_L172_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H2eb ].
% 49.38/49.58 apply (zenon_L173_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H1db | zenon_intro zenon_H2ec ].
% 49.38/49.58 apply (zenon_L171_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H20e ].
% 49.38/49.58 apply (zenon_L174_); trivial.
% 49.38/49.58 apply (zenon_L701_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H25b | zenon_intro zenon_H261 ].
% 49.38/49.58 apply (zenon_L196_); trivial.
% 49.38/49.58 apply (zenon_L213_); trivial.
% 49.38/49.58 (* end of lemma zenon_L702_ *)
% 49.38/49.58 assert (zenon_L703_ : (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> ((op2 (e23) (e23)) = (e22)) -> False).
% 49.38/49.58 do 0 intro. intros zenon_H218 zenon_H28a zenon_H242.
% 49.38/49.58 cut (((op2 (e20) (e23)) = (e22)) = ((op2 (e20) (e23)) = (op2 (e23) (e23)))).
% 49.38/49.58 intro zenon_D_pnotp.
% 49.38/49.58 apply zenon_H218.
% 49.38/49.58 rewrite <- zenon_D_pnotp.
% 49.38/49.58 exact zenon_H28a.
% 49.38/49.58 cut (((e22) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H249].
% 49.38/49.58 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H209].
% 49.38/49.58 congruence.
% 49.38/49.58 apply zenon_H209. apply refl_equal.
% 49.38/49.58 apply zenon_H249. apply sym_equal. exact zenon_H242.
% 49.38/49.58 (* end of lemma zenon_L703_ *)
% 49.38/49.58 assert (zenon_L704_ : ((h3 (e11)) = (op2 (e22) (op2 (e22) (e22)))) -> ((op1 (e13) (e11)) = (e11)) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((e21) = (h3 (op1 (e13) (e11))))) -> False).
% 49.38/49.58 do 0 intro. intros zenon_H39a zenon_H94 zenon_H19b zenon_H410.
% 49.38/49.58 elim (classic ((h3 (op1 (e13) (e11))) = (h3 (op1 (e13) (e11))))); [ zenon_intro zenon_H411 | zenon_intro zenon_H412 ].
% 49.38/49.58 cut (((h3 (op1 (e13) (e11))) = (h3 (op1 (e13) (e11)))) = ((e21) = (h3 (op1 (e13) (e11))))).
% 49.38/49.58 intro zenon_D_pnotp.
% 49.38/49.58 apply zenon_H410.
% 49.38/49.58 rewrite <- zenon_D_pnotp.
% 49.38/49.58 exact zenon_H411.
% 49.38/49.58 cut (((h3 (op1 (e13) (e11))) = (h3 (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H412].
% 49.38/49.58 cut (((h3 (op1 (e13) (e11))) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H413].
% 49.38/49.58 congruence.
% 49.38/49.58 cut (((h3 (e11)) = (op2 (e22) (op2 (e22) (e22)))) = ((h3 (op1 (e13) (e11))) = (e21))).
% 49.38/49.58 intro zenon_D_pnotp.
% 49.38/49.58 apply zenon_H413.
% 49.38/49.58 rewrite <- zenon_D_pnotp.
% 49.38/49.58 exact zenon_H39a.
% 49.38/49.58 cut (((op2 (e22) (op2 (e22) (e22))) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H19c].
% 49.38/49.58 cut (((h3 (e11)) = (h3 (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H414].
% 49.38/49.58 congruence.
% 49.38/49.58 elim (classic ((h3 (op1 (e13) (e11))) = (h3 (op1 (e13) (e11))))); [ zenon_intro zenon_H411 | zenon_intro zenon_H412 ].
% 49.38/49.58 cut (((h3 (op1 (e13) (e11))) = (h3 (op1 (e13) (e11)))) = ((h3 (e11)) = (h3 (op1 (e13) (e11))))).
% 49.38/49.58 intro zenon_D_pnotp.
% 49.38/49.58 apply zenon_H414.
% 49.38/49.58 rewrite <- zenon_D_pnotp.
% 49.38/49.58 exact zenon_H411.
% 49.38/49.58 cut (((h3 (op1 (e13) (e11))) = (h3 (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H412].
% 49.38/49.58 cut (((h3 (op1 (e13) (e11))) = (h3 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H415].
% 49.38/49.58 congruence.
% 49.38/49.58 cut (((op1 (e13) (e11)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H358].
% 49.38/49.58 congruence.
% 49.38/49.58 exact (zenon_H358 zenon_H94).
% 49.38/49.58 apply zenon_H412. apply refl_equal.
% 49.38/49.58 apply zenon_H412. apply refl_equal.
% 49.38/49.58 apply zenon_H19c. apply sym_equal. exact zenon_H19b.
% 49.38/49.58 apply zenon_H412. apply refl_equal.
% 49.38/49.58 apply zenon_H412. apply refl_equal.
% 49.38/49.58 (* end of lemma zenon_L704_ *)
% 49.38/49.58 assert (zenon_L705_ : ((op2 (e23) (e21)) = (e21)) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (e22) (op2 (e22) (e22)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((op1 (e13) (e11)) = (e11)) -> (~((h3 (op1 (e13) (e11))) = (op2 (h3 (e13)) (h3 (e11))))) -> False).
% 49.38/49.58 do 0 intro. intros zenon_H20e zenon_H39d zenon_H19e zenon_H39a zenon_H19b zenon_H94 zenon_H416.
% 49.38/49.58 elim (classic ((op2 (h3 (e13)) (h3 (e11))) = (op2 (h3 (e13)) (h3 (e11))))); [ zenon_intro zenon_H417 | zenon_intro zenon_H418 ].
% 49.38/49.58 cut (((op2 (h3 (e13)) (h3 (e11))) = (op2 (h3 (e13)) (h3 (e11)))) = ((h3 (op1 (e13) (e11))) = (op2 (h3 (e13)) (h3 (e11))))).
% 49.38/49.58 intro zenon_D_pnotp.
% 49.38/49.58 apply zenon_H416.
% 49.38/49.58 rewrite <- zenon_D_pnotp.
% 49.38/49.58 exact zenon_H417.
% 49.38/49.58 cut (((op2 (h3 (e13)) (h3 (e11))) = (op2 (h3 (e13)) (h3 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H418].
% 49.38/49.58 cut (((op2 (h3 (e13)) (h3 (e11))) = (h3 (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H419].
% 49.38/49.58 congruence.
% 49.38/49.58 cut (((op2 (e23) (e21)) = (e21)) = ((op2 (h3 (e13)) (h3 (e11))) = (h3 (op1 (e13) (e11))))).
% 49.38/49.58 intro zenon_D_pnotp.
% 49.38/49.58 apply zenon_H419.
% 49.38/49.58 rewrite <- zenon_D_pnotp.
% 49.38/49.58 exact zenon_H20e.
% 49.38/49.58 cut (((e21) = (h3 (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H410].
% 49.38/49.58 cut (((op2 (e23) (e21)) = (op2 (h3 (e13)) (h3 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H41a].
% 49.38/49.58 congruence.
% 49.38/49.58 elim (classic ((op2 (h3 (e13)) (h3 (e11))) = (op2 (h3 (e13)) (h3 (e11))))); [ zenon_intro zenon_H417 | zenon_intro zenon_H418 ].
% 49.38/49.58 cut (((op2 (h3 (e13)) (h3 (e11))) = (op2 (h3 (e13)) (h3 (e11)))) = ((op2 (e23) (e21)) = (op2 (h3 (e13)) (h3 (e11))))).
% 49.38/49.58 intro zenon_D_pnotp.
% 49.38/49.58 apply zenon_H41a.
% 49.38/49.58 rewrite <- zenon_D_pnotp.
% 49.38/49.58 exact zenon_H417.
% 49.38/49.58 cut (((op2 (h3 (e13)) (h3 (e11))) = (op2 (h3 (e13)) (h3 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H418].
% 49.38/49.58 cut (((op2 (h3 (e13)) (h3 (e11))) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H41b].
% 49.38/49.58 congruence.
% 49.38/49.58 cut (((h3 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H399].
% 49.38/49.58 cut (((h3 (e13)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H3ac].
% 49.38/49.58 congruence.
% 49.38/49.58 apply (zenon_L656_); trivial.
% 49.38/49.58 apply (zenon_L651_); trivial.
% 49.38/49.58 apply zenon_H418. apply refl_equal.
% 49.38/49.58 apply zenon_H418. apply refl_equal.
% 49.38/49.58 apply (zenon_L704_); trivial.
% 49.38/49.58 apply zenon_H418. apply refl_equal.
% 49.38/49.58 apply zenon_H418. apply refl_equal.
% 49.38/49.58 (* end of lemma zenon_L705_ *)
% 49.38/49.58 assert (zenon_L706_ : (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((e11) = (e13))) -> ((op1 (e10) (e11)) = (e13)) -> (~((e10) = (e11))) -> ((op1 (e11) (e11)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((op2 (e23) (e21)) = (e21)) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (e22) (op2 (e22) (e22)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((h3 (op1 (e13) (e11))) = (op2 (h3 (e13)) (h3 (e11))))) -> False).
% 49.38/49.58 do 0 intro. intros zenon_H16c zenon_H58 zenon_H54 zenon_H4f zenon_H60 zenon_H6c zenon_H1f zenon_H20 zenon_H20e zenon_H39d zenon_H19e zenon_H39a zenon_H19b zenon_H416.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H4e | zenon_intro zenon_H171 ].
% 49.38/49.58 apply (zenon_L113_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H61 | zenon_intro zenon_H172 ].
% 49.38/49.58 apply (zenon_L19_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H6b | zenon_intro zenon_H94 ].
% 49.38/49.58 apply (zenon_L22_); trivial.
% 49.38/49.58 apply (zenon_L705_); trivial.
% 49.38/49.58 (* end of lemma zenon_L706_ *)
% 49.38/49.58 assert (zenon_L707_ : (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> (~((e10) = (e11))) -> ((op1 (e11) (e11)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((op2 (e23) (e21)) = (e21)) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (e22) (op2 (e22) (e22)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((h3 (op1 (e13) (e11))) = (op2 (h3 (e13)) (h3 (e11))))) -> False).
% 49.38/49.58 do 0 intro. intros zenon_H16c zenon_H67 zenon_H56 zenon_H4f zenon_H60 zenon_H6c zenon_H1f zenon_H20 zenon_H20e zenon_H39d zenon_H19e zenon_H39a zenon_H19b zenon_H416.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H4e | zenon_intro zenon_H171 ].
% 49.38/49.58 apply (zenon_L21_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H61 | zenon_intro zenon_H172 ].
% 49.38/49.58 apply (zenon_L19_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H6b | zenon_intro zenon_H94 ].
% 49.38/49.58 apply (zenon_L22_); trivial.
% 49.38/49.58 apply (zenon_L705_); trivial.
% 49.38/49.58 (* end of lemma zenon_L707_ *)
% 49.38/49.58 assert (zenon_L708_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e10) (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) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((e11) = (e12))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((op2 (e23) (e21)) = (e21)) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (e22) (op2 (e22) (e22)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((h3 (op1 (e13) (e11))) = (op2 (h3 (e13)) (h3 (e11))))) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False).
% 49.38/49.58 do 0 intro. intros zenon_H40 zenon_H23 zenon_H82 zenon_H99 zenon_H63 zenon_H56 zenon_He0 zenon_H108 zenon_Hd9 zenon_H8c zenon_H8b zenon_Hfd zenon_Hae zenon_H6c zenon_H9e zenon_Hea zenon_H4f zenon_H58 zenon_Hf7 zenon_Hfa zenon_H96 zenon_H10b zenon_H16c zenon_H67 zenon_H20e zenon_H39d zenon_H19e zenon_H39a zenon_H19b zenon_H416 zenon_H2d zenon_H161 zenon_H33 zenon_H24 zenon_H1f zenon_H20 zenon_H3a.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H25 | zenon_intro zenon_H41 ].
% 49.38/49.58 apply (zenon_L4_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H2c | zenon_intro zenon_H42 ].
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H2b | zenon_intro zenon_H163 ].
% 49.38/49.58 apply (zenon_L6_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H60 | zenon_intro zenon_H164 ].
% 49.38/49.58 apply (zenon_L707_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_He1 | zenon_intro zenon_He7 ].
% 49.38/49.58 apply (zenon_L44_); trivial.
% 49.38/49.58 apply (zenon_L61_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H39 ].
% 49.38/49.58 apply (zenon_L7_); trivial.
% 49.38/49.58 apply (zenon_L8_); trivial.
% 49.38/49.58 (* end of lemma zenon_L708_ *)
% 49.38/49.58 assert (zenon_L709_ : (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e12)) = (e11)) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((op1 (e12) (e10)) = (e11)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((op1 (e10) (e11)) = (e11)) -> (~((e10) = (e11))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((e10) = (e12))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> ((op1 (e11) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e12)) = (e13)) -> False).
% 49.38/49.58 do 0 intro. intros zenon_Hd6 zenon_H13a zenon_He0 zenon_H368 zenon_H11b zenon_H387 zenon_H37f zenon_Hea zenon_H185 zenon_Hfa zenon_H113 zenon_H58 zenon_H33 zenon_H161 zenon_H151 zenon_H146 zenon_H353 zenon_H35d zenon_H190 zenon_H4e zenon_H4f zenon_H160 zenon_H117 zenon_H11e zenon_H76 zenon_H15f zenon_H187 zenon_H135 zenon_H2d zenon_H11d zenon_H23 zenon_H40 zenon_H111 zenon_H36b zenon_H3a zenon_H20 zenon_H180 zenon_H122 zenon_H18 zenon_H377 zenon_H365 zenon_H9a zenon_H99 zenon_H9e zenon_H8c zenon_Hab zenon_Hae zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_Hc7 zenon_Haf.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H92 | zenon_intro zenon_Hd7 ].
% 49.38/49.58 apply (zenon_L629_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H95 | zenon_intro zenon_Hd8 ].
% 49.38/49.58 apply (zenon_L604_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hc8 ].
% 49.38/49.58 apply (zenon_L31_); trivial.
% 49.38/49.58 apply (zenon_L39_); trivial.
% 49.38/49.58 (* end of lemma zenon_L709_ *)
% 49.38/49.58 assert (zenon_L710_ : ((op1 (e10) (e10)) = (e12)) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e11) (e10)) = (e13)) -> ((op1 (e11) (e11)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e12) (e10)) = (e11)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((op1 (e10) (e11)) = (e11)) -> (~((e10) = (e11))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((e10) = (e12))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((op2 (e23) (e21)) = (e21)) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (e22) (op2 (e22) (e22)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((h3 (op1 (e13) (e11))) = (op2 (h3 (e13)) (h3 (e11))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((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) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((e11) = (e12))) -> False).
% 49.38/49.58 do 0 intro. intros zenon_H72 zenon_H8c zenon_Hfa zenon_H8b zenon_H24 zenon_H20 zenon_Hd9 zenon_H2c zenon_H60 zenon_H82 zenon_Hd6 zenon_H3a zenon_H13a zenon_H122 zenon_H18 zenon_H377 zenon_H365 zenon_He0 zenon_H368 zenon_H387 zenon_H37f zenon_Hea zenon_H185 zenon_H113 zenon_H58 zenon_H33 zenon_H161 zenon_H151 zenon_H146 zenon_H180 zenon_H353 zenon_H35d zenon_H190 zenon_H4e zenon_H4f zenon_H160 zenon_H117 zenon_H11e zenon_H76 zenon_H15f zenon_H187 zenon_H135 zenon_H2d zenon_H11d zenon_H23 zenon_H40 zenon_H36b zenon_H111 zenon_H99 zenon_H9e zenon_Hae zenon_H6c zenon_H1f zenon_Hc7 zenon_Hfd zenon_H13f zenon_H126 zenon_H16c zenon_H67 zenon_H20e zenon_H39d zenon_H19e zenon_H39a zenon_H19b zenon_H416 zenon_H155 zenon_H10b zenon_Hf7 zenon_H108 zenon_H63 zenon_H7b zenon_H18d zenon_H154 zenon_H96.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H5b | zenon_intro zenon_H165 ].
% 49.38/49.58 apply (zenon_L18_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H61 | zenon_intro zenon_H166 ].
% 49.38/49.58 apply (zenon_L19_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H64 | zenon_intro zenon_Hab ].
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H73 | zenon_intro zenon_H167 ].
% 49.38/49.58 apply (zenon_L23_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H75 | zenon_intro zenon_H168 ].
% 49.38/49.58 apply (zenon_L24_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H9a | zenon_intro zenon_Hde ].
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ].
% 49.38/49.58 apply (zenon_L706_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ].
% 49.38/49.58 apply (zenon_L25_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ].
% 49.38/49.58 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H57 | zenon_intro zenon_Hda ].
% 49.38/49.58 apply (zenon_L68_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H81 | zenon_intro zenon_Hdb ].
% 49.38/49.58 apply (zenon_L26_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H89 | zenon_intro zenon_Haf ].
% 49.38/49.58 apply (zenon_L28_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H121 | zenon_intro zenon_H127 ].
% 49.38/49.58 apply (zenon_L70_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H94 | zenon_intro zenon_H128 ].
% 49.38/49.58 apply (zenon_L705_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H11b | zenon_intro zenon_Hf3 ].
% 49.38/49.58 apply (zenon_L66_); trivial.
% 49.38/49.58 apply (zenon_L51_); trivial.
% 49.38/49.58 apply (zenon_L635_); trivial.
% 49.38/49.58 apply (zenon_L569_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H73 | zenon_intro zenon_H167 ].
% 49.38/49.58 apply (zenon_L23_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H75 | zenon_intro zenon_H168 ].
% 49.38/49.58 apply (zenon_L24_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H9a | zenon_intro zenon_Hde ].
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ].
% 49.38/49.58 apply (zenon_L574_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ].
% 49.38/49.58 apply (zenon_L25_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ].
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H56 | zenon_intro zenon_H158 ].
% 49.38/49.58 apply (zenon_L708_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H64 | zenon_intro zenon_H159 ].
% 49.38/49.58 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H57 | zenon_intro zenon_Hda ].
% 49.38/49.58 apply (zenon_L68_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H81 | zenon_intro zenon_Hdb ].
% 49.38/49.58 apply (zenon_L26_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H89 | zenon_intro zenon_Haf ].
% 49.38/49.58 apply (zenon_L28_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H121 | zenon_intro zenon_H127 ].
% 49.38/49.58 apply (zenon_L70_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H94 | zenon_intro zenon_H128 ].
% 49.38/49.58 apply (zenon_L705_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H11b | zenon_intro zenon_Hf3 ].
% 49.38/49.58 apply (zenon_L709_); trivial.
% 49.38/49.58 apply (zenon_L51_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H13d | zenon_intro zenon_H11b ].
% 49.38/49.58 apply (zenon_L88_); trivial.
% 49.38/49.58 apply (zenon_L630_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H56 | zenon_intro zenon_H158 ].
% 49.38/49.58 apply (zenon_L707_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H64 | zenon_intro zenon_H159 ].
% 49.38/49.58 apply (zenon_L638_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H13d | zenon_intro zenon_H11b ].
% 49.38/49.58 apply (zenon_L636_); trivial.
% 49.38/49.58 apply (zenon_L640_); trivial.
% 49.38/49.58 apply (zenon_L43_); trivial.
% 49.38/49.58 (* end of lemma zenon_L710_ *)
% 49.38/49.58 assert (zenon_L711_ : ((op1 (e11) (e12)) = (e11)) -> ((op1 (e13) (e13)) = (e10)) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e13) (e12)) = (e12)) -> ((op1 (e12) (e11)) = (e13)) -> ((op1 (e11) (e13)) = (e12)) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e10)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e11) (e10)) = (e13)) -> ((op1 (e11) (e11)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e12) (e10)) = (e11)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((op1 (e10) (e11)) = (e11)) -> (~((e10) = (e11))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((e10) = (e12))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((op2 (e23) (e21)) = (e21)) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (e22) (op2 (e22) (e22)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((h3 (op1 (e13) (e11))) = (op2 (h3 (e13)) (h3 (e11))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((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) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((e11) = (e12))) -> False).
% 49.38/49.58 do 0 intro. intros zenon_H64 zenon_H35a zenon_H38e zenon_H9b zenon_Hbe zenon_Hde zenon_H57 zenon_H12b zenon_H72 zenon_Hfa zenon_H8b zenon_H24 zenon_H20 zenon_Hd9 zenon_H2c zenon_H60 zenon_H82 zenon_Hd6 zenon_H3a zenon_H13a zenon_H122 zenon_H18 zenon_H377 zenon_H365 zenon_He0 zenon_H368 zenon_H387 zenon_H37f zenon_Hea zenon_H185 zenon_H113 zenon_H58 zenon_H33 zenon_H161 zenon_H151 zenon_H146 zenon_H180 zenon_H353 zenon_H35d zenon_H190 zenon_H4e zenon_H4f zenon_H160 zenon_H117 zenon_H11e zenon_H76 zenon_H15f zenon_H187 zenon_H135 zenon_H2d zenon_H11d zenon_H23 zenon_H40 zenon_H36b zenon_H111 zenon_H99 zenon_H9e zenon_Hae zenon_H6c zenon_H1f zenon_Hc7 zenon_Hfd zenon_H13f zenon_H126 zenon_H16c zenon_H67 zenon_H20e zenon_H39d zenon_H19e zenon_H39a zenon_H19b zenon_H416 zenon_H155 zenon_H10b zenon_Hf7 zenon_H108 zenon_H63 zenon_H7b zenon_H18d zenon_H154 zenon_H96.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H121 | zenon_intro zenon_H127 ].
% 49.38/49.58 apply (zenon_L70_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H94 | zenon_intro zenon_H128 ].
% 49.38/49.58 apply (zenon_L705_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H11b | zenon_intro zenon_Hf3 ].
% 49.38/49.58 apply (zenon_L66_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H39 | zenon_intro zenon_H136 ].
% 49.38/49.58 apply (zenon_L8_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hdc | zenon_intro zenon_H137 ].
% 49.38/49.58 apply (zenon_L590_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Haf | zenon_intro zenon_H12c ].
% 49.38/49.58 apply (zenon_L67_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H38e); [ zenon_intro zenon_H177 | zenon_intro zenon_H38f ].
% 49.38/49.58 apply (zenon_L135_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H38f); [ zenon_intro zenon_He6 | zenon_intro zenon_H390 ].
% 49.38/49.58 apply (zenon_L77_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H110 | zenon_intro zenon_H8c ].
% 49.38/49.58 apply (zenon_L560_); trivial.
% 49.38/49.58 apply (zenon_L710_); trivial.
% 49.38/49.58 (* end of lemma zenon_L711_ *)
% 49.38/49.58 assert (zenon_L712_ : (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((e10) = (e11))) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (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) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (e10)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e10) (e11)) = (e11)) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((h3 (op1 (e13) (e11))) = (op2 (h3 (e13)) (h3 (e11))))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (e22) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e23) (e21)) = (e21)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e12)) -> ((op1 (e11) (e11)) = (e10)) -> (~((e10) = (e12))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False).
% 49.38/49.58 do 0 intro. intros zenon_H15f zenon_H4f zenon_H8c zenon_Hfa zenon_H8b zenon_Hd9 zenon_H126 zenon_H82 zenon_H99 zenon_He0 zenon_H108 zenon_H36b zenon_H111 zenon_H40 zenon_Hc7 zenon_H11d zenon_H2d zenon_H135 zenon_H187 zenon_H35d zenon_H117 zenon_H353 zenon_H180 zenon_H151 zenon_H37b zenon_H19 zenon_H4a zenon_H73 zenon_H23 zenon_H190 zenon_H33 zenon_H4e zenon_H58 zenon_H113 zenon_Hea zenon_H37f zenon_H387 zenon_H146 zenon_H185 zenon_H9e zenon_H18e zenon_H6c zenon_Hae zenon_H182 zenon_H13a zenon_Hfd zenon_H416 zenon_H19b zenon_H39a zenon_H19e zenon_H39d zenon_H20e zenon_H7b zenon_H154 zenon_H365 zenon_H377 zenon_H18 zenon_H122 zenon_H96 zenon_H63 zenon_He4 zenon_H60 zenon_H76 zenon_H160 zenon_H24 zenon_H1f zenon_H20 zenon_H3a.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H5b | zenon_intro zenon_H165 ].
% 49.38/49.58 apply (zenon_L18_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H61 | zenon_intro zenon_H166 ].
% 49.38/49.58 apply (zenon_L19_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H64 | zenon_intro zenon_Hab ].
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ].
% 49.38/49.58 apply (zenon_L113_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ].
% 49.38/49.58 apply (zenon_L25_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ].
% 49.38/49.58 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H57 | zenon_intro zenon_Hda ].
% 49.38/49.58 apply (zenon_L69_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H81 | zenon_intro zenon_Hdb ].
% 49.38/49.58 apply (zenon_L26_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H89 | zenon_intro zenon_Haf ].
% 49.38/49.58 apply (zenon_L28_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H121 | zenon_intro zenon_H127 ].
% 49.38/49.58 apply (zenon_L70_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H94 | zenon_intro zenon_H128 ].
% 49.38/49.58 apply (zenon_L705_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H11b | zenon_intro zenon_Hf3 ].
% 49.38/49.58 apply (zenon_L66_); trivial.
% 49.38/49.58 apply (zenon_L572_); trivial.
% 49.38/49.58 apply (zenon_L573_); trivial.
% 49.38/49.58 apply (zenon_L555_); trivial.
% 49.38/49.58 (* end of lemma zenon_L712_ *)
% 49.38/49.58 assert (zenon_L713_ : (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((e12) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e13) (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) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((h3 (op1 (e13) (e11))) = (op2 (h3 (e13)) (h3 (e11))))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (e22) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e23) (e21)) = (e21)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> ((op1 (e11) (e11)) = (e10)) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e11) (e13)) = (e10)) -> (~((e10) = (e11))) -> False).
% 49.38/49.58 do 0 intro. intros zenon_H15f zenon_H8c zenon_Hfa zenon_H8b zenon_H24 zenon_H20 zenon_Hd9 zenon_H111 zenon_H126 zenon_H122 zenon_H58 zenon_H82 zenon_H63 zenon_He4 zenon_H99 zenon_He0 zenon_H108 zenon_H9e zenon_H18e zenon_H6c zenon_H1f zenon_Hae zenon_H33 zenon_Hfd zenon_H416 zenon_H19b zenon_H39a zenon_H19e zenon_H39d zenon_H20e zenon_H7b zenon_H16c zenon_H60 zenon_H154 zenon_He7 zenon_H4f.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H5b | zenon_intro zenon_H165 ].
% 49.38/49.58 apply (zenon_L18_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H61 | zenon_intro zenon_H166 ].
% 49.38/49.58 apply (zenon_L19_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H64 | zenon_intro zenon_Hab ].
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ].
% 49.38/49.58 apply (zenon_L706_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ].
% 49.38/49.58 apply (zenon_L25_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ].
% 49.38/49.58 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H57 | zenon_intro zenon_Hda ].
% 49.38/49.58 apply (zenon_L69_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H81 | zenon_intro zenon_Hdb ].
% 49.38/49.58 apply (zenon_L26_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H89 | zenon_intro zenon_Haf ].
% 49.38/49.58 apply (zenon_L28_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H121 | zenon_intro zenon_H127 ].
% 49.38/49.58 apply (zenon_L70_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H94 | zenon_intro zenon_H128 ].
% 49.38/49.58 apply (zenon_L705_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H11b | zenon_intro zenon_Hf3 ].
% 49.38/49.58 apply (zenon_L66_); trivial.
% 49.38/49.58 apply (zenon_L570_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hfe ].
% 49.38/49.58 apply (zenon_L7_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hff ].
% 49.38/49.58 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H57 | zenon_intro zenon_Hda ].
% 49.38/49.58 apply (zenon_L69_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H81 | zenon_intro zenon_Hdb ].
% 49.38/49.58 apply (zenon_L26_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H89 | zenon_intro zenon_Haf ].
% 49.38/49.58 apply (zenon_L28_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H121 | zenon_intro zenon_H127 ].
% 49.38/49.58 apply (zenon_L70_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H94 | zenon_intro zenon_H128 ].
% 49.38/49.58 apply (zenon_L42_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H11b | zenon_intro zenon_Hf3 ].
% 49.38/49.58 apply (zenon_L491_); trivial.
% 49.38/49.58 apply (zenon_L570_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H89 | zenon_intro zenon_Hfb ].
% 49.38/49.58 apply (zenon_L28_); trivial.
% 49.38/49.58 apply (zenon_L54_); trivial.
% 49.38/49.58 apply (zenon_L47_); trivial.
% 49.38/49.58 (* end of lemma zenon_L713_ *)
% 49.38/49.58 assert (zenon_L714_ : (~((e10) = (e13))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((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 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e13) (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) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((e11) = (e13))) -> (~((h3 (op1 (e13) (e11))) = (op2 (h3 (e13)) (h3 (e11))))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (e22) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e23) (e21)) = (e21)) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> ((op1 (e10) (e11)) = (e11)) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((e11) = (e12))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False).
% 49.38/49.58 do 0 intro. intros zenon_H2d zenon_Hd9 zenon_H111 zenon_H8b zenon_H126 zenon_H122 zenon_H4f zenon_H82 zenon_H63 zenon_He4 zenon_H99 zenon_He0 zenon_H108 zenon_H9e zenon_H18e zenon_H6c zenon_Hae zenon_H7b zenon_Hfd zenon_H18d zenon_Hfa zenon_H154 zenon_H187 zenon_H15f zenon_H58 zenon_H416 zenon_H19b zenon_H39a zenon_H19e zenon_H39d zenon_H20e zenon_H16c zenon_H4e zenon_H190 zenon_H160 zenon_H96 zenon_H18 zenon_H377 zenon_H365 zenon_H13a zenon_H182 zenon_H146 zenon_H113 zenon_H23 zenon_H4a zenon_H19 zenon_H37b zenon_H151 zenon_H180 zenon_H353 zenon_H117 zenon_H35d zenon_H135 zenon_H11d zenon_Hc7 zenon_H40 zenon_H36b zenon_H76 zenon_H387 zenon_H37f zenon_Hea zenon_H185 zenon_H161 zenon_H33 zenon_H24 zenon_H1f zenon_H20 zenon_H3a.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H25 | zenon_intro zenon_H114 ].
% 49.38/49.58 apply (zenon_L4_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H54 | zenon_intro zenon_H115 ].
% 49.38/49.58 apply (zenon_L113_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H57 | zenon_intro zenon_H8c ].
% 49.38/49.58 apply (zenon_L69_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H25 | zenon_intro zenon_H41 ].
% 49.38/49.58 apply (zenon_L4_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H2c | zenon_intro zenon_H42 ].
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H2b | zenon_intro zenon_H163 ].
% 49.38/49.58 apply (zenon_L6_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H60 | zenon_intro zenon_H164 ].
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H73 | zenon_intro zenon_H167 ].
% 49.38/49.58 apply (zenon_L712_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H75 | zenon_intro zenon_H168 ].
% 49.38/49.58 apply (zenon_L24_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H9a | zenon_intro zenon_Hde ].
% 49.38/49.58 apply (zenon_L490_); trivial.
% 49.38/49.58 apply (zenon_L569_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_He1 | zenon_intro zenon_He7 ].
% 49.38/49.58 apply (zenon_L44_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H17 | zenon_intro zenon_H191 ].
% 49.38/49.58 apply (zenon_L14_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H60 | zenon_intro zenon_H192 ].
% 49.38/49.58 apply (zenon_L713_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H188 | zenon_intro zenon_H18b ].
% 49.38/49.58 apply (zenon_L140_); trivial.
% 49.38/49.58 apply (zenon_L578_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H39 ].
% 49.38/49.58 apply (zenon_L7_); trivial.
% 49.38/49.58 apply (zenon_L8_); trivial.
% 49.38/49.58 (* end of lemma zenon_L714_ *)
% 49.38/49.58 assert (zenon_L715_ : (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((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 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (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) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((e11) = (e12))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((op2 (e23) (e21)) = (e21)) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (e22) (op2 (e22) (e22)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((h3 (op1 (e13) (e11))) = (op2 (h3 (e13)) (h3 (e11))))) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False).
% 49.38/49.58 do 0 intro. intros zenon_H13a zenon_H122 zenon_H180 zenon_H365 zenon_H142 zenon_H36b zenon_H36e zenon_H173 zenon_H111 zenon_H360 zenon_H126 zenon_H155 zenon_H187 zenon_H151 zenon_H146 zenon_H35d zenon_Hc7 zenon_H362 zenon_H76 zenon_Hd6 zenon_H117 zenon_H353 zenon_H18e zenon_H190 zenon_H15f zenon_H113 zenon_H11d zenon_H12b zenon_H368 zenon_H185 zenon_H135 zenon_H15a zenon_H18d zenon_H40 zenon_H23 zenon_H82 zenon_H99 zenon_H63 zenon_H56 zenon_He0 zenon_H108 zenon_Hd9 zenon_H8b zenon_Hfd zenon_Hae zenon_H6c zenon_H9e zenon_Hea zenon_H4f zenon_H58 zenon_Hf7 zenon_Hfa zenon_H96 zenon_H10b zenon_H16c zenon_H67 zenon_H20e zenon_H39d zenon_H19e zenon_H39a zenon_H19b zenon_H416 zenon_H2d zenon_H161 zenon_H33 zenon_H24 zenon_H1f zenon_H20 zenon_H3a.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H25 | zenon_intro zenon_H114 ].
% 49.38/49.58 apply (zenon_L4_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H54 | zenon_intro zenon_H115 ].
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H25 | zenon_intro zenon_H41 ].
% 49.38/49.58 apply (zenon_L4_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H2c | zenon_intro zenon_H42 ].
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H2b | zenon_intro zenon_H163 ].
% 49.38/49.58 apply (zenon_L6_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H60 | zenon_intro zenon_H164 ].
% 49.38/49.58 apply (zenon_L707_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_He1 | zenon_intro zenon_He7 ].
% 49.38/49.58 apply (zenon_L44_); trivial.
% 49.38/49.58 apply (zenon_L664_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H39 ].
% 49.38/49.58 apply (zenon_L7_); trivial.
% 49.38/49.58 apply (zenon_L8_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H57 | zenon_intro zenon_H8c ].
% 49.38/49.58 apply (zenon_L17_); trivial.
% 49.38/49.58 apply (zenon_L708_); trivial.
% 49.38/49.58 (* end of lemma zenon_L715_ *)
% 49.38/49.58 assert (zenon_L716_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((e10) = (e13))) -> ((op1 (e13) (e11)) = (e10)) -> ((op1 (e13) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e12)) = (e11)) -> ((op1 (e12) (e13)) = (e12)) -> False).
% 49.38/49.58 do 0 intro. intros zenon_H135 zenon_H3a zenon_H20 zenon_H2d zenon_H18b zenon_Hf3 zenon_Hae zenon_H18e zenon_H9e zenon_H8c zenon_He7 zenon_H13a zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_H368 zenon_H11b zenon_H369.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H39 | zenon_intro zenon_H136 ].
% 49.38/49.58 apply (zenon_L8_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hdc | zenon_intro zenon_H137 ].
% 49.38/49.58 apply (zenon_L504_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Haf | zenon_intro zenon_H12c ].
% 49.38/49.58 apply (zenon_L570_); trivial.
% 49.38/49.58 apply (zenon_L600_); trivial.
% 49.38/49.58 (* end of lemma zenon_L716_ *)
% 49.38/49.58 assert (zenon_L717_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> ((op1 (e13) (e11)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e13) (e11)) = (e12)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False).
% 49.38/49.58 do 0 intro. intros zenon_H365 zenon_H18b zenon_H122 zenon_H95 zenon_H180 zenon_H24 zenon_H1f zenon_H20 zenon_H3a.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H365); [ zenon_intro zenon_H91 | zenon_intro zenon_H366 ].
% 49.38/49.58 apply (zenon_L141_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H366); [ zenon_intro zenon_H121 | zenon_intro zenon_H367 ].
% 49.38/49.58 apply (zenon_L70_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H367); [ zenon_intro zenon_H92 | zenon_intro zenon_H39 ].
% 49.38/49.58 apply (zenon_L603_); trivial.
% 49.38/49.58 apply (zenon_L8_); trivial.
% 49.38/49.58 (* end of lemma zenon_L717_ *)
% 49.38/49.58 assert (zenon_L718_ : (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e12)) = (e11)) -> (~((e10) = (e12))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((e10) = (e11))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e10) (e10)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e11)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (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)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e13)) = (e11)) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> ((op1 (e13) (e11)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False).
% 49.38/49.58 do 0 intro. intros zenon_Hd6 zenon_H368 zenon_H11b zenon_H76 zenon_H190 zenon_H19 zenon_H18 zenon_H4f zenon_H160 zenon_H72 zenon_H23 zenon_H99 zenon_H11e zenon_H33 zenon_H15f zenon_H187 zenon_H57 zenon_H11d zenon_H36b zenon_H117 zenon_Hbe zenon_H6c zenon_He7 zenon_H9e zenon_H387 zenon_H37f zenon_Hea zenon_Hfa zenon_H2c zenon_Hc7 zenon_H12b zenon_H8b zenon_H38e zenon_H8c zenon_H18e zenon_Hae zenon_Hf3 zenon_H2d zenon_H135 zenon_H365 zenon_H18b zenon_H180 zenon_H122 zenon_H13a zenon_H24 zenon_H1f zenon_H20 zenon_H3a.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H92 | zenon_intro zenon_Hd7 ].
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H36b); [ zenon_intro zenon_H110 | zenon_intro zenon_H36c ].
% 49.38/49.58 apply (zenon_L647_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_Hde | zenon_intro zenon_H36d ].
% 49.38/49.58 apply (zenon_L505_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H36d); [ zenon_intro zenon_H369 | zenon_intro zenon_Hc8 ].
% 49.38/49.58 apply (zenon_L716_); trivial.
% 49.38/49.58 apply (zenon_L507_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H95 | zenon_intro zenon_Hd8 ].
% 49.38/49.58 apply (zenon_L717_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hc8 ].
% 49.38/49.58 apply (zenon_L627_); trivial.
% 49.38/49.58 apply (zenon_L508_); trivial.
% 49.38/49.58 (* end of lemma zenon_L718_ *)
% 49.38/49.58 assert (zenon_L719_ : (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((e11) = (e13))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e12)) = (e11)) -> (~((e10) = (e12))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((e10) = (e11))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e10) (e10)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e11)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (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)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> ((op1 (e13) (e11)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False).
% 49.38/49.58 do 0 intro. intros zenon_Hf7 zenon_H111 zenon_H142 zenon_H96 zenon_H13f zenon_H9a zenon_H58 zenon_H155 zenon_Hd6 zenon_H368 zenon_H11b zenon_H76 zenon_H190 zenon_H19 zenon_H18 zenon_H4f zenon_H160 zenon_H72 zenon_H23 zenon_H99 zenon_H11e zenon_H33 zenon_H15f zenon_H187 zenon_H57 zenon_H11d zenon_H36b zenon_H117 zenon_Hbe zenon_H6c zenon_He7 zenon_H9e zenon_H387 zenon_H37f zenon_Hea zenon_Hfa zenon_H2c zenon_Hc7 zenon_H12b zenon_H8b zenon_H38e zenon_H8c zenon_H18e zenon_Hae zenon_H2d zenon_H135 zenon_H365 zenon_H18b zenon_H180 zenon_H122 zenon_H13a zenon_H24 zenon_H1f zenon_H20 zenon_H3a.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He6 | zenon_intro zenon_Hf8 ].
% 49.38/49.58 apply (zenon_L538_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Hab | zenon_intro zenon_Hf9 ].
% 49.38/49.58 apply (zenon_L47_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_He9 | zenon_intro zenon_Hf3 ].
% 49.38/49.58 apply (zenon_L48_); trivial.
% 49.38/49.58 apply (zenon_L718_); trivial.
% 49.38/49.58 (* end of lemma zenon_L719_ *)
% 49.38/49.58 assert (zenon_L720_ : (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((e10) = (e11))) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (e10) (e10)) = (e10)) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e10) (e10)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> ((op1 (e13) (e11)) = (e10)) -> (~((e10) = (e13))) -> False).
% 49.38/49.58 do 0 intro. intros zenon_H154 zenon_H18d zenon_H7b zenon_Hae zenon_H24 zenon_H1f zenon_H6c zenon_H9a zenon_He0 zenon_H8c zenon_H9e zenon_H20 zenon_Hea zenon_He7 zenon_H4f zenon_H58 zenon_Hf7 zenon_H8b zenon_H82 zenon_H111 zenon_H142 zenon_H96 zenon_H13f zenon_H155 zenon_Hd6 zenon_H368 zenon_H76 zenon_H190 zenon_H19 zenon_H18 zenon_H160 zenon_H72 zenon_H23 zenon_H99 zenon_H11e zenon_H33 zenon_H15f zenon_H187 zenon_H11d zenon_H36b zenon_H117 zenon_H387 zenon_H37f zenon_Hfa zenon_H2c zenon_Hc7 zenon_H12b zenon_H38e zenon_H18e zenon_H135 zenon_H365 zenon_H180 zenon_H122 zenon_H13a zenon_H3a zenon_Hd9 zenon_Hfd zenon_H18b zenon_H2d.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ].
% 49.38/49.58 apply (zenon_L574_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ].
% 49.38/49.58 apply (zenon_L25_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ].
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H56 | zenon_intro zenon_H158 ].
% 49.38/49.58 apply (zenon_L55_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H64 | zenon_intro zenon_H159 ].
% 49.38/49.58 apply (zenon_L580_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H13d | zenon_intro zenon_H11b ].
% 49.38/49.58 apply (zenon_L88_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H57 | zenon_intro zenon_Hda ].
% 49.38/49.58 apply (zenon_L719_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H81 | zenon_intro zenon_Hdb ].
% 49.38/49.58 apply (zenon_L26_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H89 | zenon_intro zenon_Haf ].
% 49.38/49.58 apply (zenon_L28_); trivial.
% 49.38/49.58 apply (zenon_L52_); trivial.
% 49.38/49.58 apply (zenon_L504_); trivial.
% 49.38/49.58 (* end of lemma zenon_L720_ *)
% 49.38/49.58 assert (zenon_L721_ : (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e11)) = (e11)) -> ((op2 (e23) (e21)) = (e21)) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (e22) (op2 (e22) (e22)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((h3 (op1 (e13) (e11))) = (op2 (h3 (e13)) (h3 (e11))))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((op1 (e12) (e10)) = (e11)) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> ((op1 (e10) (e10)) = (e12)) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e10) (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 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False).
% 49.38/49.58 do 0 intro. intros zenon_H2d zenon_H37b zenon_H4a zenon_H182 zenon_H377 zenon_H4e zenon_H20e zenon_H39d zenon_H19e zenon_H39a zenon_H19b zenon_H416 zenon_Hf7 zenon_H58 zenon_H11d zenon_H15a zenon_Hfd zenon_H63 zenon_H154 zenon_He0 zenon_H360 zenon_H126 zenon_H122 zenon_H7b zenon_H111 zenon_H142 zenon_H36b zenon_H96 zenon_H76 zenon_H368 zenon_Hd6 zenon_H13f zenon_H11e zenon_H99 zenon_H155 zenon_H113 zenon_H161 zenon_H15f zenon_H190 zenon_H353 zenon_H362 zenon_H35d zenon_H185 zenon_Hd9 zenon_H146 zenon_H151 zenon_H18d zenon_H16c zenon_H187 zenon_H108 zenon_H82 zenon_H23 zenon_H40 zenon_H10b zenon_H72 zenon_H160 zenon_H18 zenon_H19 zenon_H180 zenon_H365 zenon_H36e zenon_H173 zenon_H4f zenon_H135 zenon_Hae zenon_H18e zenon_H8c zenon_H38e zenon_H8b zenon_H12b zenon_Hc7 zenon_Hfa zenon_Hea zenon_H37f zenon_H387 zenon_H9e zenon_H13a zenon_H6c zenon_H117 zenon_H16a zenon_H43 zenon_H16b zenon_H67 zenon_H15e zenon_H33 zenon_H24 zenon_H1f zenon_H20 zenon_H3a.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H25 | zenon_intro zenon_H41 ].
% 49.38/49.58 apply (zenon_L4_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H2c | zenon_intro zenon_H42 ].
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H2b | zenon_intro zenon_H163 ].
% 49.38/49.58 apply (zenon_L6_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H60 | zenon_intro zenon_H164 ].
% 49.38/49.58 apply (zenon_L710_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_He1 | zenon_intro zenon_He7 ].
% 49.38/49.58 apply (zenon_L44_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H17 | zenon_intro zenon_H191 ].
% 49.38/49.58 apply (zenon_L110_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H60 | zenon_intro zenon_H192 ].
% 49.38/49.58 apply (zenon_L581_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H188 | zenon_intro zenon_H18b ].
% 49.38/49.58 apply (zenon_L140_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ].
% 49.38/49.58 apply (zenon_L113_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ].
% 49.38/49.58 apply (zenon_L25_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ].
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_He4 | zenon_intro zenon_H10c ].
% 49.38/49.58 apply (zenon_L714_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H9a | zenon_intro zenon_H10d ].
% 49.38/49.58 apply (zenon_L720_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H101 | zenon_intro zenon_H9b ].
% 49.38/49.58 apply (zenon_L59_); trivial.
% 49.38/49.58 apply (zenon_L631_); trivial.
% 49.38/49.58 apply (zenon_L504_); trivial.
% 49.38/49.58 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H39 ].
% 49.38/49.58 apply (zenon_L7_); trivial.
% 49.38/49.58 apply (zenon_L8_); trivial.
% 49.38/49.58 (* end of lemma zenon_L721_ *)
% 49.38/49.58 assert (zenon_L722_ : ((op1 (e13) (e11)) = (e13)) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((h3 (op1 (e13) (e11))) = (op2 (h3 (e13)) (h3 (e11))))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (e22) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e23) (e21)) = (e21)) -> ((op1 (e10) (e11)) = (e11)) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((e11) = (e13))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((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)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (e11)) = (e10)) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e10) (e10)) = (e12)) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (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 (e13) (e13)))) -> ((op1 (e12) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> (~((e12) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False).
% 49.38/49.58 do 0 intro. intros zenon_Hdc zenon_H15e zenon_H67 zenon_H16b zenon_H43 zenon_H16a zenon_H387 zenon_H37f zenon_H173 zenon_H36e zenon_H180 zenon_H19 zenon_H40 zenon_H187 zenon_H362 zenon_H190 zenon_H161 zenon_H113 zenon_H13f zenon_H368 zenon_H36b zenon_H142 zenon_Hf7 zenon_H416 zenon_H19b zenon_H39a zenon_H19e zenon_H39d zenon_H20e zenon_H4e zenon_H182 zenon_H4a zenon_H37b zenon_H2d zenon_Hfa zenon_H15f zenon_H58 zenon_H10b zenon_H11e zenon_H63 zenon_H9e zenon_H126 zenon_H12b zenon_H6c zenon_H117 zenon_H7b zenon_H155 zenon_H360 zenon_H108 zenon_He0 zenon_H82 zenon_H185 zenon_Hd9 zenon_H18d zenon_H16c zenon_Hfd zenon_H151 zenon_H146 zenon_H18e zenon_H33 zenon_H60 zenon_H353 zenon_Hae zenon_H4f zenon_Hd6 zenon_H76 zenon_H96 zenon_Hc7 zenon_H35d zenon_Hea zenon_H154 zenon_H23 zenon_H72 zenon_H160 zenon_H8b zenon_H38e zenon_Hab zenon_H15a zenon_H89 zenon_H11d zenon_H57 zenon_H111 zenon_H135 zenon_H9a zenon_H99 zenon_H365 zenon_H377 zenon_H18 zenon_H122 zenon_H13a zenon_H24 zenon_H1f zenon_H20 zenon_H3a.
% 49.46/49.58 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_H91 | zenon_intro zenon_H35e ].
% 49.46/49.58 apply (zenon_L552_); trivial.
% 49.46/49.58 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H18b | zenon_intro zenon_H35f ].
% 49.46/49.58 apply (zenon_L504_); trivial.
% 49.46/49.58 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H116 | zenon_intro zenon_H35a ].
% 49.46/49.58 apply (zenon_L65_); trivial.
% 49.46/49.58 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H92 | zenon_intro zenon_Hd7 ].
% 49.46/49.58 apply (zenon_or_s _ _ zenon_H36b); [ zenon_intro zenon_H110 | zenon_intro zenon_H36c ].
% 49.46/49.58 apply (zenon_L606_); trivial.
% 49.46/49.58 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_Hde | zenon_intro zenon_H36d ].
% 49.46/49.58 apply (zenon_L43_); trivial.
% 49.46/49.58 apply (zenon_or_s _ _ zenon_H36d); [ zenon_intro zenon_H369 | zenon_intro zenon_Hc8 ].
% 49.46/49.58 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H8c | zenon_intro zenon_H152 ].
% 49.46/49.58 apply (zenon_L721_); trivial.
% 49.46/49.58 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H145 | zenon_intro zenon_H153 ].
% 49.46/49.58 apply (zenon_L93_); trivial.
% 49.46/49.58 apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_Hfb | zenon_intro zenon_H12c ].
% 49.46/49.58 apply (zenon_L610_); trivial.
% 49.46/49.58 apply (zenon_L104_); trivial.
% 49.46/49.58 apply (zenon_L571_); trivial.
% 49.46/49.58 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H95 | zenon_intro zenon_Hd8 ].
% 49.46/49.58 apply (zenon_L617_); trivial.
% 49.46/49.58 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hc8 ].
% 49.46/49.58 apply (zenon_L31_); trivial.
% 49.46/49.58 apply (zenon_L571_); trivial.
% 49.46/49.58 (* end of lemma zenon_L722_ *)
% 49.46/49.58 assert (zenon_L723_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((h3 (op1 (e13) (e11))) = (op2 (h3 (e13)) (h3 (e11))))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (e22) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e23) (e21)) = (e21)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (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 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((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) (e10)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (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 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e11))) -> False).
% 49.46/49.58 do 0 intro. intros zenon_H3a9 zenon_H365 zenon_H36e zenon_H368 zenon_H36b zenon_H360 zenon_H35d zenon_H362 zenon_H371 zenon_H416 zenon_H19b zenon_H39a zenon_H19e zenon_H39d zenon_H20e zenon_H37f zenon_H387 zenon_H37b zenon_H377 zenon_H396 zenon_H391 zenon_H38e zenon_H161 zenon_H13f zenon_H126 zenon_H122 zenon_H155 zenon_H9e zenon_Hfa zenon_Hf7 zenon_H19 zenon_H173 zenon_H16a zenon_H178 zenon_H40 zenon_H43 zenon_H16b zenon_H4a zenon_H111 zenon_H160 zenon_H182 zenon_H8b zenon_H12b zenon_H154 zenon_H7b zenon_H10b zenon_H142 zenon_H11e zenon_H3a zenon_H135 zenon_H13a zenon_H11d zenon_H117 zenon_H15e zenon_H2d zenon_H58 zenon_H190 zenon_H17a zenon_H82 zenon_H20 zenon_H24 zenon_Hd6 zenon_H76 zenon_H96 zenon_H99 zenon_H18e zenon_Hae zenon_Hea zenon_Hc7 zenon_H63 zenon_He0 zenon_H108 zenon_H185 zenon_Hd9 zenon_H151 zenon_H146 zenon_H15a zenon_H18d zenon_H33 zenon_Hfd zenon_H6c zenon_H67 zenon_H16c zenon_H15f zenon_H1f zenon_H187 zenon_H180 zenon_H23 zenon_H113 zenon_H4f.
% 49.46/49.58 apply (zenon_or_s _ _ zenon_H3a9); [ zenon_intro zenon_H18 | zenon_intro zenon_H3aa ].
% 49.46/49.58 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H4b | zenon_intro zenon_H16f ].
% 49.46/49.58 apply (zenon_L13_); trivial.
% 49.46/49.58 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H4e | zenon_intro zenon_H170 ].
% 49.46/49.58 apply (zenon_or_s _ _ zenon_H371); [ zenon_intro zenon_H4b | zenon_intro zenon_H372 ].
% 49.46/49.58 apply (zenon_L13_); trivial.
% 49.46/49.58 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H5b | zenon_intro zenon_H373 ].
% 49.46/49.58 apply (zenon_L18_); trivial.
% 49.46/49.58 apply (zenon_or_s _ _ zenon_H373); [ zenon_intro zenon_H353 | zenon_intro zenon_H121 ].
% 49.46/49.58 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H72 | zenon_intro zenon_H162 ].
% 49.46/49.58 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H25 | zenon_intro zenon_H114 ].
% 49.46/49.58 apply (zenon_L4_); trivial.
% 49.46/49.58 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H54 | zenon_intro zenon_H115 ].
% 49.46/49.58 apply (zenon_L113_); trivial.
% 49.46/49.58 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H57 | zenon_intro zenon_H8c ].
% 49.46/49.58 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H25 | zenon_intro zenon_H41 ].
% 49.46/49.58 apply (zenon_L4_); trivial.
% 49.46/49.58 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H2c | zenon_intro zenon_H42 ].
% 49.46/49.58 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H2b | zenon_intro zenon_H163 ].
% 49.46/49.58 apply (zenon_L6_); trivial.
% 49.46/49.58 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H60 | zenon_intro zenon_H164 ].
% 49.46/49.58 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H5b | zenon_intro zenon_H165 ].
% 49.46/49.58 apply (zenon_L18_); trivial.
% 49.46/49.58 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H61 | zenon_intro zenon_H166 ].
% 49.46/49.58 apply (zenon_L19_); trivial.
% 49.46/49.58 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H64 | zenon_intro zenon_Hab ].
% 49.46/49.58 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H73 | zenon_intro zenon_H167 ].
% 49.46/49.58 apply (zenon_L23_); trivial.
% 49.46/49.58 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H75 | zenon_intro zenon_H168 ].
% 49.46/49.58 apply (zenon_L24_); trivial.
% 49.46/49.58 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H9a | zenon_intro zenon_Hde ].
% 49.46/49.58 apply (zenon_L68_); trivial.
% 49.46/49.58 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ].
% 49.46/49.58 apply (zenon_L706_); trivial.
% 49.46/49.58 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ].
% 49.46/49.58 apply (zenon_L25_); trivial.
% 49.46/49.58 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ].
% 49.46/49.58 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_He4 | zenon_intro zenon_H10c ].
% 49.46/49.58 apply (zenon_L69_); trivial.
% 49.46/49.58 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H9a | zenon_intro zenon_H10d ].
% 49.46/49.58 apply (zenon_L68_); trivial.
% 49.46/49.58 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H101 | zenon_intro zenon_H9b ].
% 49.46/49.58 apply (zenon_L57_); trivial.
% 49.46/49.58 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_H91 | zenon_intro zenon_H35e ].
% 49.46/49.58 apply (zenon_L552_); trivial.
% 49.46/49.58 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H18b | zenon_intro zenon_H35f ].
% 49.46/49.58 apply (zenon_or_s _ _ zenon_H391); [ zenon_intro zenon_H177 | zenon_intro zenon_H392 ].
% 49.46/49.58 apply (zenon_L137_); trivial.
% 49.46/49.58 apply (zenon_or_s _ _ zenon_H392); [ zenon_intro zenon_He7 | zenon_intro zenon_H393 ].
% 49.46/49.58 apply (zenon_L586_); trivial.
% 49.46/49.58 apply (zenon_or_s _ _ zenon_H393); [ zenon_intro zenon_H37e | zenon_intro zenon_H35a ].
% 49.46/49.58 apply (zenon_L557_); trivial.
% 49.46/49.58 apply (zenon_L711_); trivial.
% 49.46/49.58 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H116 | zenon_intro zenon_H35a ].
% 49.46/49.58 apply (zenon_L65_); trivial.
% 49.46/49.58 apply (zenon_L711_); trivial.
% 49.46/49.58 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_He4 | zenon_intro zenon_H10c ].
% 49.46/49.58 apply (zenon_L714_); trivial.
% 49.46/49.58 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H9a | zenon_intro zenon_H10d ].
% 49.46/49.58 apply (zenon_L68_); trivial.
% 49.46/49.58 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H101 | zenon_intro zenon_H9b ].
% 49.46/49.58 apply (zenon_L57_); trivial.
% 49.46/49.58 apply (zenon_L597_); trivial.
% 49.46/49.58 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H73 | zenon_intro zenon_H167 ].
% 49.46/49.58 apply (zenon_L23_); trivial.
% 49.46/49.58 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H75 | zenon_intro zenon_H168 ].
% 49.46/49.58 apply (zenon_L24_); trivial.
% 49.46/49.58 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H9a | zenon_intro zenon_Hde ].
% 49.46/49.58 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ].
% 49.46/49.58 apply (zenon_L113_); trivial.
% 49.46/49.58 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ].
% 49.46/49.58 apply (zenon_L25_); trivial.
% 49.46/49.58 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ].
% 49.46/49.58 apply (zenon_L615_); trivial.
% 49.46/49.58 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H56 | zenon_intro zenon_H158 ].
% 49.46/49.58 apply (zenon_L715_); trivial.
% 49.46/49.58 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H64 | zenon_intro zenon_H159 ].
% 49.46/49.58 apply (zenon_L68_); trivial.
% 49.46/49.58 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H13d | zenon_intro zenon_H11b ].
% 49.46/49.58 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hfe ].
% 49.46/49.58 apply (zenon_L7_); trivial.
% 49.46/49.58 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hff ].
% 49.46/49.58 apply (zenon_L88_); trivial.
% 49.46/49.58 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H89 | zenon_intro zenon_Hfb ].
% 49.46/49.58 apply (zenon_L722_); trivial.
% 49.46/49.58 apply (zenon_L619_); trivial.
% 49.46/49.58 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hfe ].
% 49.46/49.58 apply (zenon_L7_); trivial.
% 49.46/49.58 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hff ].
% 49.46/49.58 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_H91 | zenon_intro zenon_H35e ].
% 49.46/49.58 apply (zenon_L552_); trivial.
% 49.46/49.58 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H18b | zenon_intro zenon_H35f ].
% 49.46/49.58 apply (zenon_L504_); trivial.
% 49.46/49.58 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H116 | zenon_intro zenon_H35a ].
% 49.46/49.58 apply (zenon_L65_); trivial.
% 49.46/49.58 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H92 | zenon_intro zenon_Hd7 ].
% 49.46/49.58 apply (zenon_or_s _ _ zenon_H36b); [ zenon_intro zenon_H110 | zenon_intro zenon_H36c ].
% 49.46/49.58 apply (zenon_L606_); trivial.
% 49.46/49.58 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_Hde | zenon_intro zenon_H36d ].
% 49.46/49.58 apply (zenon_L43_); trivial.
% 49.46/49.58 apply (zenon_or_s _ _ zenon_H36d); [ zenon_intro zenon_H369 | zenon_intro zenon_Hc8 ].
% 49.46/49.58 apply (zenon_L612_); trivial.
% 49.46/49.58 apply (zenon_L571_); trivial.
% 49.46/49.58 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H95 | zenon_intro zenon_Hd8 ].
% 49.46/49.58 apply (zenon_L89_); trivial.
% 49.46/49.58 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hc8 ].
% 49.46/49.58 apply (zenon_L31_); trivial.
% 49.46/49.58 apply (zenon_L571_); trivial.
% 49.46/49.58 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H89 | zenon_intro zenon_Hfb ].
% 49.46/49.58 apply (zenon_L722_); trivial.
% 49.46/49.58 apply (zenon_L619_); trivial.
% 49.46/49.58 apply (zenon_L43_); trivial.
% 49.46/49.58 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_He1 | zenon_intro zenon_He7 ].
% 49.46/49.58 apply (zenon_L44_); trivial.
% 49.46/49.58 apply (zenon_L621_); trivial.
% 49.46/49.58 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H39 ].
% 49.46/49.58 apply (zenon_L7_); trivial.
% 49.46/49.58 apply (zenon_L8_); trivial.
% 49.46/49.58 apply (zenon_L721_); trivial.
% 49.46/49.58 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H10e | zenon_intro zenon_H169 ].
% 49.46/49.58 apply (zenon_L142_); trivial.
% 49.46/49.58 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_He4 | zenon_intro zenon_H110 ].
% 49.46/49.58 apply (zenon_L714_); trivial.
% 49.46/49.58 apply (zenon_L649_); trivial.
% 49.46/49.58 apply (zenon_L70_); trivial.
% 49.46/49.58 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H56 | zenon_intro zenon_He6 ].
% 49.46/49.58 apply (zenon_or_s _ _ zenon_H371); [ zenon_intro zenon_H4b | zenon_intro zenon_H372 ].
% 49.46/49.58 apply (zenon_L13_); trivial.
% 49.46/49.58 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H5b | zenon_intro zenon_H373 ].
% 49.46/49.58 apply (zenon_L18_); trivial.
% 49.46/49.58 apply (zenon_or_s _ _ zenon_H373); [ zenon_intro zenon_H353 | zenon_intro zenon_H121 ].
% 49.46/49.58 apply (zenon_L715_); trivial.
% 49.46/49.58 apply (zenon_L70_); trivial.
% 49.46/49.58 apply (zenon_L550_); trivial.
% 49.46/49.58 apply (zenon_or_s _ _ zenon_H3aa); [ zenon_intro zenon_H17 | zenon_intro zenon_H3ab ].
% 49.46/49.58 apply (zenon_L110_); trivial.
% 49.46/49.58 apply (zenon_or_s _ _ zenon_H3ab); [ zenon_intro zenon_H174 | zenon_intro zenon_H177 ].
% 49.46/49.58 apply (zenon_L111_); trivial.
% 49.46/49.58 apply (zenon_L153_); trivial.
% 49.46/49.58 (* end of lemma zenon_L723_ *)
% 49.46/49.58 assert (zenon_L724_ : (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e20) (e21)) = (e23)) -> (~((e20) = (e21))) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((h3 (op1 (e13) (e11))) = (op2 (h3 (e13)) (h3 (e11))))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (e22) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (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 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((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) (e10)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (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 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e11))) -> False).
% 49.46/49.58 do 0 intro. intros zenon_H2e6 zenon_H1d2 zenon_H1ce zenon_H1c9 zenon_H1da zenon_H1e6 zenon_H14 zenon_H3a9 zenon_H365 zenon_H36e zenon_H368 zenon_H36b zenon_H360 zenon_H35d zenon_H362 zenon_H371 zenon_H416 zenon_H19b zenon_H39a zenon_H19e zenon_H39d zenon_H37f zenon_H387 zenon_H37b zenon_H377 zenon_H396 zenon_H391 zenon_H38e zenon_H161 zenon_H13f zenon_H126 zenon_H122 zenon_H155 zenon_H9e zenon_Hfa zenon_Hf7 zenon_H19 zenon_H173 zenon_H16a zenon_H178 zenon_H40 zenon_H43 zenon_H16b zenon_H4a zenon_H111 zenon_H160 zenon_H182 zenon_H8b zenon_H12b zenon_H154 zenon_H7b zenon_H10b zenon_H142 zenon_H11e zenon_H3a zenon_H135 zenon_H13a zenon_H11d zenon_H117 zenon_H15e zenon_H2d zenon_H58 zenon_H190 zenon_H17a zenon_H82 zenon_H20 zenon_H24 zenon_Hd6 zenon_H76 zenon_H96 zenon_H99 zenon_H18e zenon_Hae zenon_Hea zenon_Hc7 zenon_H63 zenon_He0 zenon_H108 zenon_H185 zenon_Hd9 zenon_H151 zenon_H146 zenon_H15a zenon_H18d zenon_H33 zenon_Hfd zenon_H6c zenon_H67 zenon_H16c zenon_H15f zenon_H1f zenon_H187 zenon_H180 zenon_H23 zenon_H113 zenon_H4f.
% 49.46/49.58 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H2eb ].
% 49.46/49.58 apply (zenon_L265_); trivial.
% 49.46/49.58 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H1db | zenon_intro zenon_H2ec ].
% 49.46/49.58 apply (zenon_L171_); trivial.
% 49.46/49.58 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H20e ].
% 49.46/49.58 apply (zenon_L174_); trivial.
% 49.46/49.58 apply (zenon_L723_); trivial.
% 49.46/49.58 (* end of lemma zenon_L724_ *)
% 49.46/49.58 assert (zenon_L725_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((e20) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e22) (e22)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((op2 (e23) (e21)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (e21)) = (e20)) -> ((op2 (e22) (e20)) = (e21)) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e21) (e20)) = (e23)) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> False).
% 49.46/49.58 do 0 intro. intros zenon_H317 zenon_H331 zenon_H194 zenon_H1a7 zenon_H1b4 zenon_H2af zenon_H291 zenon_H2cb zenon_H203 zenon_H205 zenon_H2c0 zenon_H256 zenon_H2fa zenon_H1ad zenon_H1da zenon_H30d zenon_H1d1 zenon_H297 zenon_H33a zenon_H336 zenon_H264 zenon_H28a zenon_H274 zenon_H19e zenon_H1a6 zenon_H19b zenon_H14 zenon_H241.
% 49.46/49.58 apply (zenon_or_s _ _ zenon_H317); [ zenon_intro zenon_H20b | zenon_intro zenon_H318 ].
% 49.46/49.58 apply (zenon_L382_); trivial.
% 49.46/49.58 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H305 | zenon_intro zenon_H319 ].
% 49.46/49.58 apply (zenon_L418_); trivial.
% 49.46/49.58 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H290 | zenon_intro zenon_H314 ].
% 49.46/49.58 apply (zenon_L217_); trivial.
% 49.46/49.58 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H206 | zenon_intro zenon_H2cc ].
% 49.46/49.58 apply (zenon_L180_); trivial.
% 49.46/49.58 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H2bf | zenon_intro zenon_H2cd ].
% 49.46/49.58 apply (zenon_L245_); trivial.
% 49.46/49.58 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H275 | zenon_intro zenon_H2a6 ].
% 49.46/49.58 apply (zenon_L407_); trivial.
% 49.46/49.58 apply (zenon_L402_); trivial.
% 49.46/49.58 (* end of lemma zenon_L725_ *)
% 49.46/49.58 assert (zenon_L726_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> ((op2 (e22) (e20)) = (e21)) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((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)))) -> (~((e21) = (e23))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((e20) = (e23))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((e22) = (e23))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((h3 (op1 (e13) (e11))) = (op2 (h3 (e13)) (h3 (e11))))) -> ((h3 (e11)) = (op2 (e22) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (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 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((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) (e10)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (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 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e11))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> ((op2 (e21) (e23)) = (e20)) -> (~((e20) = (e21))) -> False).
% 49.46/49.58 do 0 intro. intros zenon_H2d9 zenon_H274 zenon_H297 zenon_H1d1 zenon_H30d zenon_H1da zenon_H1ad zenon_H264 zenon_H14 zenon_H19e zenon_H2fa zenon_H218 zenon_H342 zenon_H213 zenon_H1d2 zenon_H19b zenon_H29c zenon_H2a0 zenon_H291 zenon_H1a7 zenon_H194 zenon_H331 zenon_H317 zenon_H1b4 zenon_H2af zenon_H2cb zenon_H205 zenon_H2c0 zenon_H33a zenon_H336 zenon_H28a zenon_H1a6 zenon_H241 zenon_H1e6 zenon_H2b4 zenon_H2a5 zenon_H28b zenon_H277 zenon_H1dd zenon_H298 zenon_H285 zenon_H1f5 zenon_H2e6 zenon_H3a9 zenon_H365 zenon_H36e zenon_H368 zenon_H36b zenon_H360 zenon_H35d zenon_H362 zenon_H371 zenon_H416 zenon_H39a zenon_H39d zenon_H37f zenon_H387 zenon_H37b zenon_H377 zenon_H396 zenon_H391 zenon_H38e zenon_H161 zenon_H13f zenon_H126 zenon_H122 zenon_H155 zenon_H9e zenon_Hfa zenon_Hf7 zenon_H19 zenon_H173 zenon_H16a zenon_H178 zenon_H40 zenon_H43 zenon_H16b zenon_H4a zenon_H111 zenon_H160 zenon_H182 zenon_H8b zenon_H12b zenon_H154 zenon_H7b zenon_H10b zenon_H142 zenon_H11e zenon_H3a zenon_H135 zenon_H13a zenon_H11d zenon_H117 zenon_H15e zenon_H2d zenon_H58 zenon_H190 zenon_H17a zenon_H82 zenon_H20 zenon_H24 zenon_Hd6 zenon_H76 zenon_H96 zenon_H99 zenon_H18e zenon_Hae zenon_Hea zenon_Hc7 zenon_H63 zenon_He0 zenon_H108 zenon_H185 zenon_Hd9 zenon_H151 zenon_H146 zenon_H15a zenon_H18d zenon_H33 zenon_Hfd zenon_H6c zenon_H67 zenon_H16c zenon_H15f zenon_H1f zenon_H187 zenon_H180 zenon_H23 zenon_H113 zenon_H4f zenon_H2ce zenon_H261 zenon_H1c9.
% 49.46/49.58 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H2df ].
% 49.46/49.58 apply (zenon_L170_); trivial.
% 49.46/49.58 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H1db | zenon_intro zenon_H2e0 ].
% 49.46/49.58 apply (zenon_L171_); trivial.
% 49.46/49.58 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1de | zenon_intro zenon_H225 ].
% 49.46/49.58 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d0 ].
% 49.46/49.58 apply (zenon_L724_); trivial.
% 49.46/49.58 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H2d1 ].
% 49.46/49.58 apply (zenon_L177_); trivial.
% 49.46/49.58 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H238 | zenon_intro zenon_H256 ].
% 49.46/49.59 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H25e | zenon_intro zenon_H286 ].
% 49.46/49.59 apply (zenon_L221_); trivial.
% 49.46/49.59 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H214 | zenon_intro zenon_H287 ].
% 49.46/49.59 apply (zenon_L220_); trivial.
% 49.46/49.59 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H27b | zenon_intro zenon_H215 ].
% 49.46/49.59 apply (zenon_L209_); trivial.
% 49.46/49.59 apply (zenon_or_s _ _ zenon_H317); [ zenon_intro zenon_H20b | zenon_intro zenon_H318 ].
% 49.46/49.59 apply (zenon_L382_); trivial.
% 49.46/49.59 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H305 | zenon_intro zenon_H319 ].
% 49.46/49.59 apply (zenon_L404_); trivial.
% 49.46/49.59 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H290 | zenon_intro zenon_H314 ].
% 49.46/49.59 apply (zenon_L217_); trivial.
% 49.46/49.59 apply (zenon_L423_); trivial.
% 49.46/49.59 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H25e | zenon_intro zenon_H286 ].
% 49.46/49.59 apply (zenon_L221_); trivial.
% 49.46/49.59 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H214 | zenon_intro zenon_H287 ].
% 49.46/49.59 apply (zenon_L220_); trivial.
% 49.46/49.59 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H27b | zenon_intro zenon_H215 ].
% 49.46/49.59 apply (zenon_L209_); trivial.
% 49.46/49.59 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H1ac | zenon_intro zenon_H278 ].
% 49.46/49.59 apply (zenon_L159_); trivial.
% 49.46/49.59 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H238 | zenon_intro zenon_H279 ].
% 49.46/49.59 apply (zenon_or_s _ _ zenon_H317); [ zenon_intro zenon_H20b | zenon_intro zenon_H318 ].
% 49.46/49.59 apply (zenon_L382_); trivial.
% 49.46/49.59 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H305 | zenon_intro zenon_H319 ].
% 49.46/49.59 apply (zenon_L404_); trivial.
% 49.46/49.59 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H290 | zenon_intro zenon_H314 ].
% 49.46/49.59 apply (zenon_L217_); trivial.
% 49.46/49.59 apply (zenon_L422_); trivial.
% 49.46/49.59 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H203 | zenon_intro zenon_H275 ].
% 49.46/49.59 apply (zenon_L725_); trivial.
% 49.46/49.59 apply (zenon_L416_); trivial.
% 49.46/49.59 apply (zenon_L199_); trivial.
% 49.46/49.59 (* end of lemma zenon_L726_ *)
% 49.46/49.59 assert (zenon_L727_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e21) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((e20) = (e21))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((e10) = (e11))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (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) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((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 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (e22) (op2 (e22) (e22)))) -> (~((h3 (op1 (e13) (e11))) = (op2 (h3 (e13)) (h3 (e11))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((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 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e22) (e20)) = (e21)) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> ((op2 (e20) (e23)) = (e22)) -> (~((e22) = (e23))) -> False).
% 49.46/49.59 do 0 intro. intros zenon_H28d zenon_H1c8 zenon_H1b4 zenon_H19b zenon_H14 zenon_H19e zenon_H1ad zenon_H2db zenon_H25a zenon_H30a zenon_H19d zenon_H1ed zenon_H1c4 zenon_H195 zenon_H34b zenon_H1c9 zenon_H2ce zenon_H4f zenon_H113 zenon_H23 zenon_H180 zenon_H187 zenon_H1f zenon_H15f zenon_H16c zenon_H67 zenon_H6c zenon_Hfd zenon_H33 zenon_H18d zenon_H15a zenon_H146 zenon_H151 zenon_Hd9 zenon_H185 zenon_H108 zenon_He0 zenon_H63 zenon_Hc7 zenon_Hea zenon_Hae zenon_H18e zenon_H99 zenon_H96 zenon_H76 zenon_Hd6 zenon_H24 zenon_H20 zenon_H82 zenon_H17a zenon_H190 zenon_H58 zenon_H2d zenon_H15e zenon_H117 zenon_H11d zenon_H13a zenon_H135 zenon_H3a zenon_H11e zenon_H142 zenon_H10b zenon_H7b zenon_H154 zenon_H12b zenon_H8b zenon_H182 zenon_H160 zenon_H111 zenon_H4a zenon_H16b zenon_H43 zenon_H40 zenon_H178 zenon_H16a zenon_H173 zenon_H19 zenon_Hf7 zenon_Hfa zenon_H9e zenon_H155 zenon_H122 zenon_H126 zenon_H13f zenon_H161 zenon_H38e zenon_H391 zenon_H396 zenon_H377 zenon_H37b zenon_H387 zenon_H37f zenon_H39d zenon_H39a zenon_H416 zenon_H371 zenon_H362 zenon_H35d zenon_H360 zenon_H36b zenon_H368 zenon_H36e zenon_H365 zenon_H3a9 zenon_H2e6 zenon_H1f5 zenon_H285 zenon_H298 zenon_H1dd zenon_H277 zenon_H2a5 zenon_H2b4 zenon_H1e6 zenon_H2c0 zenon_H205 zenon_H2cb zenon_H317 zenon_H331 zenon_H194 zenon_H291 zenon_H2a0 zenon_H29c zenon_H1d2 zenon_H213 zenon_H342 zenon_H218 zenon_H2fa zenon_H30d zenon_H2d9 zenon_H301 zenon_H2af zenon_H1a7 zenon_H297 zenon_H33a zenon_H336 zenon_H264 zenon_H274 zenon_H241 zenon_H1ba zenon_H28a zenon_H28b.
% 49.46/49.59 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H19f | zenon_intro zenon_H28e ].
% 49.46/49.59 apply (zenon_L156_); trivial.
% 49.46/49.59 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28f ].
% 49.46/49.59 apply (zenon_L265_); trivial.
% 49.46/49.59 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H206 ].
% 49.46/49.59 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ].
% 49.46/49.59 apply (zenon_L156_); trivial.
% 49.46/49.59 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ].
% 49.46/49.59 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2dd ].
% 49.46/49.59 apply (zenon_L158_); trivial.
% 49.46/49.59 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1da | zenon_intro zenon_H2de ].
% 49.46/49.59 apply (zenon_L473_); trivial.
% 49.46/49.59 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H25b | zenon_intro zenon_H261 ].
% 49.46/49.59 apply (zenon_L196_); trivial.
% 49.46/49.59 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H193 | zenon_intro zenon_H30b ].
% 49.46/49.59 apply (zenon_L465_); trivial.
% 49.46/49.59 apply (zenon_or_s _ _ zenon_H30b); [ zenon_intro zenon_H1da | zenon_intro zenon_H30c ].
% 49.46/49.59 apply (zenon_L726_); trivial.
% 49.46/49.59 apply (zenon_or_s _ _ zenon_H30c); [ zenon_intro zenon_H302 | zenon_intro zenon_H305 ].
% 49.46/49.59 apply (zenon_L292_); trivial.
% 49.46/49.59 apply (zenon_L418_); trivial.
% 49.46/49.59 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ].
% 49.46/49.59 apply (zenon_L159_); trivial.
% 49.46/49.59 apply (zenon_L160_); trivial.
% 49.46/49.59 apply (zenon_L215_); trivial.
% 49.46/49.59 (* end of lemma zenon_L727_ *)
% 49.46/49.59 assert (zenon_L728_ : (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e22) = (e23))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((e20) = (e23))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((e21) = (e23))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((h3 (op1 (e13) (e11))) = (op2 (h3 (e13)) (h3 (e11))))) -> ((h3 (e11)) = (op2 (e22) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (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 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((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) (e10)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (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 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e11))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((e20) = (e21))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e20) (e21)) = (e21)) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e22)) -> ((op2 (e21) (e21)) = (e20)) -> (~((e20) = (e22))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e21)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e23)) = (e21)) -> ((op2 (e23) (e22)) = (e23)) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False).
% 49.46/49.59 do 0 intro. intros zenon_H325 zenon_H28b zenon_H1ba zenon_H241 zenon_H297 zenon_H1a7 zenon_H2af zenon_H301 zenon_H2d9 zenon_H30d zenon_H2fa zenon_H342 zenon_H213 zenon_H1d2 zenon_H2a0 zenon_H291 zenon_H317 zenon_H2cb zenon_H205 zenon_H2a5 zenon_H277 zenon_H298 zenon_H285 zenon_H1f5 zenon_H2e6 zenon_H3a9 zenon_H365 zenon_H36e zenon_H368 zenon_H36b zenon_H360 zenon_H35d zenon_H362 zenon_H371 zenon_H416 zenon_H39a zenon_H39d zenon_H37f zenon_H387 zenon_H37b zenon_H377 zenon_H396 zenon_H391 zenon_H38e zenon_H161 zenon_H13f zenon_H126 zenon_H122 zenon_H155 zenon_H9e zenon_Hfa zenon_Hf7 zenon_H19 zenon_H173 zenon_H16a zenon_H178 zenon_H40 zenon_H43 zenon_H16b zenon_H4a zenon_H111 zenon_H160 zenon_H182 zenon_H8b zenon_H12b zenon_H154 zenon_H7b zenon_H10b zenon_H142 zenon_H11e zenon_H3a zenon_H135 zenon_H13a zenon_H11d zenon_H117 zenon_H15e zenon_H2d zenon_H58 zenon_H190 zenon_H17a zenon_H82 zenon_H20 zenon_H24 zenon_Hd6 zenon_H76 zenon_H96 zenon_H99 zenon_H18e zenon_Hae zenon_Hea zenon_Hc7 zenon_H63 zenon_He0 zenon_H108 zenon_H185 zenon_Hd9 zenon_H151 zenon_H146 zenon_H15a zenon_H18d zenon_H33 zenon_Hfd zenon_H6c zenon_H67 zenon_H16c zenon_H15f zenon_H1f zenon_H187 zenon_H180 zenon_H23 zenon_H113 zenon_H4f zenon_H2ce zenon_H1c9 zenon_H34b zenon_H195 zenon_H1c4 zenon_H1ed zenon_H19d zenon_H30a zenon_H25a zenon_H2db zenon_H1ad zenon_H1c8 zenon_H28d zenon_H274 zenon_H264 zenon_H336 zenon_H33a zenon_H2c0 zenon_H2ff zenon_H210 zenon_H1dd zenon_H25e zenon_H1da zenon_H1f0 zenon_H2da zenon_H218 zenon_H206 zenon_H308 zenon_H1e6 zenon_H238 zenon_H228 zenon_H26d zenon_H229 zenon_H2fc zenon_H31f zenon_H331 zenon_H194 zenon_H29c zenon_H2b4 zenon_H19e zenon_H14 zenon_H19b zenon_H1b4.
% 49.46/49.59 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H28a | zenon_intro zenon_H326 ].
% 49.46/49.59 apply (zenon_L727_); trivial.
% 49.46/49.59 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H258 | zenon_intro zenon_H327 ].
% 49.46/49.59 apply (zenon_L388_); trivial.
% 49.46/49.59 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H323 | zenon_intro zenon_H242 ].
% 49.46/49.59 apply (zenon_L390_); trivial.
% 49.46/49.59 apply (zenon_L391_); trivial.
% 49.46/49.59 (* end of lemma zenon_L728_ *)
% 49.46/49.59 assert (zenon_L729_ : ((op2 (e20) (e23)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (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) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e22) = (e23))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((e20) = (e23))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((e21) = (e23))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((h3 (op1 (e13) (e11))) = (op2 (h3 (e13)) (h3 (e11))))) -> ((h3 (e11)) = (op2 (e22) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (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 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((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) (e10)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (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 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e11))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((e20) = (e21))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e20) (e21)) = (e21)) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e22)) -> ((op2 (e21) (e21)) = (e20)) -> (~((e20) = (e22))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False).
% 49.46/49.59 do 0 intro. intros zenon_H206 zenon_H274 zenon_H205 zenon_H253 zenon_H1fc zenon_H282 zenon_H325 zenon_H28b zenon_H1ba zenon_H241 zenon_H297 zenon_H1a7 zenon_H2af zenon_H301 zenon_H2d9 zenon_H30d zenon_H2fa zenon_H342 zenon_H213 zenon_H1d2 zenon_H2a0 zenon_H291 zenon_H317 zenon_H2cb zenon_H2a5 zenon_H277 zenon_H298 zenon_H285 zenon_H1f5 zenon_H2e6 zenon_H3a9 zenon_H365 zenon_H36e zenon_H368 zenon_H36b zenon_H360 zenon_H35d zenon_H362 zenon_H371 zenon_H416 zenon_H39a zenon_H39d zenon_H37f zenon_H387 zenon_H37b zenon_H377 zenon_H396 zenon_H391 zenon_H38e zenon_H161 zenon_H13f zenon_H126 zenon_H122 zenon_H155 zenon_H9e zenon_Hfa zenon_Hf7 zenon_H19 zenon_H173 zenon_H16a zenon_H178 zenon_H40 zenon_H43 zenon_H16b zenon_H4a zenon_H111 zenon_H160 zenon_H182 zenon_H8b zenon_H12b zenon_H154 zenon_H7b zenon_H10b zenon_H142 zenon_H11e zenon_H3a zenon_H135 zenon_H13a zenon_H11d zenon_H117 zenon_H15e zenon_H2d zenon_H58 zenon_H190 zenon_H17a zenon_H82 zenon_H20 zenon_H24 zenon_Hd6 zenon_H76 zenon_H96 zenon_H99 zenon_H18e zenon_Hae zenon_Hea zenon_Hc7 zenon_H63 zenon_He0 zenon_H108 zenon_H185 zenon_Hd9 zenon_H151 zenon_H146 zenon_H15a zenon_H18d zenon_H33 zenon_Hfd zenon_H6c zenon_H67 zenon_H16c zenon_H15f zenon_H1f zenon_H187 zenon_H180 zenon_H23 zenon_H113 zenon_H4f zenon_H2ce zenon_H1c9 zenon_H34b zenon_H195 zenon_H1c4 zenon_H1ed zenon_H19d zenon_H30a zenon_H25a zenon_H2db zenon_H1ad zenon_H1c8 zenon_H28d zenon_H264 zenon_H336 zenon_H33a zenon_H2c0 zenon_H2ff zenon_H218 zenon_H308 zenon_H1e6 zenon_H228 zenon_H2fc zenon_H2b4 zenon_H31f zenon_H331 zenon_H194 zenon_H29c zenon_H210 zenon_H1dd zenon_H25e zenon_H1da zenon_H1f0 zenon_H2da zenon_H19e zenon_H14 zenon_H19b zenon_H1b4.
% 49.46/49.59 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H2df ].
% 49.46/49.59 apply (zenon_L170_); trivial.
% 49.46/49.59 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H1db | zenon_intro zenon_H2e0 ].
% 49.46/49.59 apply (zenon_L171_); trivial.
% 49.46/49.59 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1de | zenon_intro zenon_H225 ].
% 49.46/49.59 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d0 ].
% 49.46/49.59 apply (zenon_L265_); trivial.
% 49.46/49.59 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H2d1 ].
% 49.46/49.59 apply (zenon_L177_); trivial.
% 49.46/49.59 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H238 | zenon_intro zenon_H256 ].
% 49.46/49.59 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H254 ].
% 49.46/49.59 apply (zenon_L221_); trivial.
% 49.46/49.59 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1fb | zenon_intro zenon_H255 ].
% 49.46/49.59 apply (zenon_L178_); trivial.
% 49.46/49.59 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H203 | zenon_intro zenon_H229 ].
% 49.46/49.59 apply (zenon_L180_); trivial.
% 49.46/49.59 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H29b | zenon_intro zenon_H2a1 ].
% 49.46/49.59 apply (zenon_L222_); trivial.
% 49.46/49.59 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H20e | zenon_intro zenon_H2a2 ].
% 49.46/49.59 apply (zenon_L723_); trivial.
% 49.46/49.59 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H295 | zenon_intro zenon_H26d ].
% 49.46/49.59 apply (zenon_L218_); trivial.
% 49.46/49.59 apply (zenon_L728_); trivial.
% 49.46/49.59 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H1ac | zenon_intro zenon_H278 ].
% 49.46/49.59 apply (zenon_L159_); trivial.
% 49.46/49.59 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H238 | zenon_intro zenon_H279 ].
% 49.46/49.59 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H254 ].
% 49.46/49.59 apply (zenon_L221_); trivial.
% 49.46/49.59 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1fb | zenon_intro zenon_H255 ].
% 49.46/49.59 apply (zenon_L178_); trivial.
% 49.46/49.59 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H203 | zenon_intro zenon_H229 ].
% 49.46/49.59 apply (zenon_L180_); trivial.
% 49.46/49.59 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H29b | zenon_intro zenon_H2a1 ].
% 49.46/49.59 apply (zenon_L222_); trivial.
% 49.46/49.59 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H20e | zenon_intro zenon_H2a2 ].
% 49.46/49.59 apply (zenon_L194_); trivial.
% 49.46/49.59 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H295 | zenon_intro zenon_H26d ].
% 49.46/49.59 apply (zenon_L322_); trivial.
% 49.46/49.59 apply (zenon_L728_); trivial.
% 49.46/49.59 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H203 | zenon_intro zenon_H275 ].
% 49.46/49.59 apply (zenon_L180_); trivial.
% 49.46/49.59 apply (zenon_L206_); trivial.
% 49.46/49.59 apply (zenon_L385_); trivial.
% 49.46/49.59 (* end of lemma zenon_L729_ *)
% 49.46/49.59 assert (zenon_L730_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((op2 (e20) (e23)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((e22) = (e23))) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((e10) = (e11))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (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) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((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 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (e22) (op2 (e22) (e22)))) -> (~((h3 (op1 (e13) (e11))) = (op2 (h3 (e13)) (h3 (e11))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> ((op2 (e21) (e21)) = (e20)) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> ((op2 (e21) (e23)) = (e20)) -> (~((e20) = (e21))) -> False).
% 49.46/49.59 do 0 intro. intros zenon_H2d9 zenon_H206 zenon_H274 zenon_H205 zenon_H19e zenon_H19b zenon_H253 zenon_H28b zenon_H25e zenon_H1fc zenon_H2a0 zenon_H29c zenon_H1d2 zenon_H213 zenon_H218 zenon_H308 zenon_H1e6 zenon_H14 zenon_H228 zenon_H1ad zenon_H277 zenon_H4f zenon_H113 zenon_H23 zenon_H180 zenon_H187 zenon_H1f zenon_H15f zenon_H16c zenon_H67 zenon_H6c zenon_Hfd zenon_H33 zenon_H18d zenon_H15a zenon_H146 zenon_H151 zenon_Hd9 zenon_H185 zenon_H108 zenon_He0 zenon_H63 zenon_Hc7 zenon_Hea zenon_Hae zenon_H18e zenon_H99 zenon_H96 zenon_H76 zenon_Hd6 zenon_H24 zenon_H20 zenon_H82 zenon_H17a zenon_H190 zenon_H58 zenon_H2d zenon_H15e zenon_H117 zenon_H11d zenon_H13a zenon_H135 zenon_H3a zenon_H11e zenon_H142 zenon_H10b zenon_H7b zenon_H154 zenon_H12b zenon_H8b zenon_H182 zenon_H160 zenon_H111 zenon_H4a zenon_H16b zenon_H43 zenon_H40 zenon_H178 zenon_H16a zenon_H173 zenon_H19 zenon_Hf7 zenon_Hfa zenon_H9e zenon_H155 zenon_H122 zenon_H126 zenon_H13f zenon_H161 zenon_H38e zenon_H391 zenon_H396 zenon_H377 zenon_H37b zenon_H387 zenon_H37f zenon_H39d zenon_H39a zenon_H416 zenon_H371 zenon_H362 zenon_H35d zenon_H360 zenon_H36b zenon_H368 zenon_H36e zenon_H365 zenon_H3a9 zenon_H1dd zenon_H25a zenon_H282 zenon_H1f5 zenon_H2e6 zenon_H1da zenon_H2ce zenon_H261 zenon_H1c9.
% 49.46/49.59 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H2df ].
% 49.46/49.59 apply (zenon_L170_); trivial.
% 49.46/49.59 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H1db | zenon_intro zenon_H2e0 ].
% 49.46/49.59 apply (zenon_L171_); trivial.
% 49.46/49.59 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1de | zenon_intro zenon_H225 ].
% 49.46/49.59 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d0 ].
% 49.46/49.59 apply (zenon_L724_); trivial.
% 49.46/49.59 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H2d1 ].
% 49.46/49.59 apply (zenon_L177_); trivial.
% 49.46/49.59 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H238 | zenon_intro zenon_H256 ].
% 49.46/49.59 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H254 ].
% 49.46/49.59 apply (zenon_L221_); trivial.
% 49.46/49.59 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1fb | zenon_intro zenon_H255 ].
% 49.46/49.59 apply (zenon_L178_); trivial.
% 49.46/49.59 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H203 | zenon_intro zenon_H229 ].
% 49.46/49.59 apply (zenon_L180_); trivial.
% 49.46/49.59 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H29b | zenon_intro zenon_H2a1 ].
% 49.46/49.59 apply (zenon_L222_); trivial.
% 49.46/49.59 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H20e | zenon_intro zenon_H2a2 ].
% 49.46/49.59 apply (zenon_L723_); trivial.
% 49.46/49.59 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H295 | zenon_intro zenon_H26d ].
% 49.46/49.59 apply (zenon_L322_); trivial.
% 49.46/49.59 apply (zenon_L389_); trivial.
% 49.46/49.59 apply (zenon_L467_); trivial.
% 49.46/49.59 apply (zenon_L199_); trivial.
% 49.46/49.59 (* end of lemma zenon_L730_ *)
% 49.46/49.59 assert (zenon_L731_ : (~((e20) = (e23))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((e21) = (e22))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (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) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((e21) = (e23))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((e10) = (e11))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (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) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((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 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (e22) (op2 (e22) (e22)))) -> (~((h3 (op1 (e13) (e11))) = (op2 (h3 (e13)) (h3 (e11))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e22) (e20)) = (e21)) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False).
% 49.46/49.59 do 0 intro. intros zenon_H1a7 zenon_H2cf zenon_H210 zenon_H228 zenon_H1e6 zenon_H308 zenon_H218 zenon_H1c9 zenon_H29c zenon_H2a0 zenon_H205 zenon_H28b zenon_H253 zenon_H2b9 zenon_H282 zenon_H25a zenon_H213 zenon_H25e zenon_H1dd zenon_H1fc zenon_H1f5 zenon_H1c8 zenon_H1d2 zenon_H2ce zenon_H301 zenon_H2d9 zenon_H274 zenon_H277 zenon_H4f zenon_H113 zenon_H23 zenon_H180 zenon_H187 zenon_H1f zenon_H15f zenon_H16c zenon_H67 zenon_H6c zenon_Hfd zenon_H33 zenon_H18d zenon_H15a zenon_H146 zenon_H151 zenon_Hd9 zenon_H185 zenon_H108 zenon_He0 zenon_H63 zenon_Hc7 zenon_Hea zenon_Hae zenon_H18e zenon_H99 zenon_H96 zenon_H76 zenon_Hd6 zenon_H24 zenon_H20 zenon_H82 zenon_H17a zenon_H190 zenon_H58 zenon_H2d zenon_H15e zenon_H117 zenon_H11d zenon_H13a zenon_H135 zenon_H3a zenon_H11e zenon_H142 zenon_H10b zenon_H7b zenon_H154 zenon_H12b zenon_H8b zenon_H182 zenon_H160 zenon_H111 zenon_H4a zenon_H16b zenon_H43 zenon_H40 zenon_H178 zenon_H16a zenon_H173 zenon_H19 zenon_Hf7 zenon_Hfa zenon_H9e zenon_H155 zenon_H122 zenon_H126 zenon_H13f zenon_H161 zenon_H38e zenon_H391 zenon_H396 zenon_H377 zenon_H37b zenon_H387 zenon_H37f zenon_H39d zenon_H39a zenon_H416 zenon_H371 zenon_H362 zenon_H35d zenon_H360 zenon_H36b zenon_H368 zenon_H36e zenon_H365 zenon_H3a9 zenon_H2e6 zenon_H194 zenon_H195 zenon_H30a zenon_H2da zenon_H331 zenon_H31f zenon_H2b4 zenon_H2fc zenon_H2c0 zenon_H28d zenon_H2db zenon_H19d zenon_H1c4 zenon_H34b zenon_H285 zenon_H298 zenon_H2a5 zenon_H2cb zenon_H317 zenon_H291 zenon_H342 zenon_H2fa zenon_H30d zenon_H2af zenon_H297 zenon_H241 zenon_H1ba zenon_H325 zenon_H1f0 zenon_H33a zenon_H336 zenon_H264 zenon_H2ff zenon_H1ad zenon_H19e zenon_H14 zenon_H19b zenon_H1b4.
% 49.46/49.59 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H19f | zenon_intro zenon_H28e ].
% 49.46/49.59 apply (zenon_L156_); trivial.
% 49.46/49.59 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28f ].
% 49.46/49.59 apply (zenon_L265_); trivial.
% 49.46/49.59 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H206 ].
% 49.46/49.59 apply (zenon_L221_); trivial.
% 49.46/49.59 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ].
% 49.46/49.59 apply (zenon_L156_); trivial.
% 49.46/49.59 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ].
% 49.46/49.59 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2dd ].
% 49.46/49.59 apply (zenon_L158_); trivial.
% 49.46/49.59 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1da | zenon_intro zenon_H2de ].
% 49.46/49.59 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H1ed | zenon_intro zenon_H2e1 ].
% 49.46/49.59 apply (zenon_L729_); trivial.
% 49.46/49.59 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H1ef | zenon_intro zenon_H2e2 ].
% 49.46/49.59 apply (zenon_L176_); trivial.
% 49.46/49.59 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H214 | zenon_intro zenon_H258 ].
% 49.46/49.59 apply (zenon_L321_); trivial.
% 49.46/49.59 apply (zenon_L388_); trivial.
% 49.46/49.59 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H25b | zenon_intro zenon_H261 ].
% 49.46/49.60 apply (zenon_L196_); trivial.
% 49.46/49.60 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H193 | zenon_intro zenon_H30b ].
% 49.46/49.60 apply (zenon_L154_); trivial.
% 49.46/49.60 apply (zenon_or_s _ _ zenon_H30b); [ zenon_intro zenon_H1da | zenon_intro zenon_H30c ].
% 49.46/49.60 apply (zenon_L730_); trivial.
% 49.46/49.60 apply (zenon_or_s _ _ zenon_H30c); [ zenon_intro zenon_H302 | zenon_intro zenon_H305 ].
% 49.46/49.60 apply (zenon_L292_); trivial.
% 49.46/49.60 apply (zenon_L398_); trivial.
% 49.46/49.60 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ].
% 49.46/49.60 apply (zenon_L159_); trivial.
% 49.46/49.60 apply (zenon_L160_); trivial.
% 49.46/49.60 (* end of lemma zenon_L731_ *)
% 49.46/49.60 assert (zenon_L732_ : (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((e21) = (e23))) -> ((op2 (e21) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((e10) = (e11))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (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) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((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 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (e22) (op2 (e22) (e22)))) -> (~((h3 (op1 (e13) (e11))) = (op2 (h3 (e13)) (h3 (e11))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((e20) = (e21))) -> ((op2 (e21) (e21)) = (e20)) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> False).
% 49.46/49.60 do 0 intro. intros zenon_H2da zenon_H1ec zenon_H19d zenon_H1f0 zenon_H205 zenon_H19e zenon_H253 zenon_H297 zenon_H291 zenon_H298 zenon_H1fc zenon_H2a0 zenon_H29c zenon_H1d2 zenon_H1de zenon_H213 zenon_H218 zenon_H25a zenon_H1e6 zenon_H228 zenon_H1ad zenon_H277 zenon_H4f zenon_H113 zenon_H23 zenon_H180 zenon_H187 zenon_H1f zenon_H15f zenon_H16c zenon_H67 zenon_H6c zenon_Hfd zenon_H33 zenon_H18d zenon_H15a zenon_H146 zenon_H151 zenon_Hd9 zenon_H185 zenon_H108 zenon_He0 zenon_H63 zenon_Hc7 zenon_Hea zenon_Hae zenon_H18e zenon_H99 zenon_H96 zenon_H76 zenon_Hd6 zenon_H24 zenon_H20 zenon_H82 zenon_H17a zenon_H190 zenon_H58 zenon_H2d zenon_H15e zenon_H117 zenon_H11d zenon_H13a zenon_H135 zenon_H3a zenon_H11e zenon_H142 zenon_H10b zenon_H7b zenon_H154 zenon_H12b zenon_H8b zenon_H182 zenon_H160 zenon_H111 zenon_H4a zenon_H16b zenon_H43 zenon_H40 zenon_H178 zenon_H16a zenon_H173 zenon_H19 zenon_Hf7 zenon_Hfa zenon_H9e zenon_H155 zenon_H122 zenon_H126 zenon_H13f zenon_H161 zenon_H38e zenon_H391 zenon_H396 zenon_H377 zenon_H37b zenon_H387 zenon_H37f zenon_H39d zenon_H39a zenon_H416 zenon_H371 zenon_H362 zenon_H35d zenon_H360 zenon_H36b zenon_H368 zenon_H36e zenon_H365 zenon_H3a9 zenon_H1f5 zenon_H2e6 zenon_H1c9 zenon_H1da zenon_H2ce zenon_H33a zenon_H336 zenon_H264 zenon_H14 zenon_H19b zenon_H2ff zenon_H274 zenon_H206.
% 49.46/49.60 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H1ed | zenon_intro zenon_H2e1 ].
% 49.46/49.60 apply (zenon_L175_); trivial.
% 49.46/49.60 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H1ef | zenon_intro zenon_H2e2 ].
% 49.46/49.60 apply (zenon_L176_); trivial.
% 49.46/49.60 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H214 | zenon_intro zenon_H258 ].
% 49.46/49.60 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d0 ].
% 49.46/49.60 apply (zenon_L724_); trivial.
% 49.46/49.60 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H2d1 ].
% 49.46/49.60 apply (zenon_L177_); trivial.
% 49.46/49.60 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H238 | zenon_intro zenon_H256 ].
% 49.46/49.60 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H254 ].
% 49.46/49.60 apply (zenon_L220_); trivial.
% 49.46/49.60 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1fb | zenon_intro zenon_H255 ].
% 49.46/49.60 apply (zenon_L178_); trivial.
% 49.46/49.60 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H203 | zenon_intro zenon_H229 ].
% 49.46/49.60 apply (zenon_L180_); trivial.
% 49.46/49.60 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H29b | zenon_intro zenon_H2a1 ].
% 49.46/49.60 apply (zenon_L222_); trivial.
% 49.46/49.60 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H20e | zenon_intro zenon_H2a2 ].
% 49.46/49.60 apply (zenon_L723_); trivial.
% 49.46/49.60 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H295 | zenon_intro zenon_H26d ].
% 49.46/49.60 apply (zenon_L218_); trivial.
% 49.46/49.60 apply (zenon_L203_); trivial.
% 49.46/49.60 apply (zenon_L457_); trivial.
% 49.46/49.60 apply (zenon_L388_); trivial.
% 49.46/49.60 (* end of lemma zenon_L732_ *)
% 49.46/49.60 assert (zenon_L733_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (e23) (e22)) = (e22)) -> ((op2 (e22) (e21)) = (e23)) -> ((op2 (e21) (e23)) = (e22)) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e23)) = (e21)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e20)) = (e23)) -> ((op2 (e23) (e23)) = (e23)) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((e21) = (e23))) -> ((op2 (e21) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((e10) = (e11))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (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) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((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 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (e22) (op2 (e22) (e22)))) -> (~((h3 (op1 (e13) (e11))) = (op2 (h3 (e13)) (h3 (e11))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((e20) = (e21))) -> ((op2 (e21) (e21)) = (e20)) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> False).
% 49.46/49.60 do 0 intro. intros zenon_H342 zenon_H215 zenon_H238 zenon_H258 zenon_H1d1 zenon_H2b4 zenon_H26d zenon_H241 zenon_H1a6 zenon_H2a6 zenon_H2da zenon_H1ec zenon_H19d zenon_H1f0 zenon_H205 zenon_H19e zenon_H253 zenon_H297 zenon_H291 zenon_H298 zenon_H1fc zenon_H2a0 zenon_H29c zenon_H1d2 zenon_H1de zenon_H213 zenon_H218 zenon_H25a zenon_H1e6 zenon_H228 zenon_H1ad zenon_H277 zenon_H4f zenon_H113 zenon_H23 zenon_H180 zenon_H187 zenon_H1f zenon_H15f zenon_H16c zenon_H67 zenon_H6c zenon_Hfd zenon_H33 zenon_H18d zenon_H15a zenon_H146 zenon_H151 zenon_Hd9 zenon_H185 zenon_H108 zenon_He0 zenon_H63 zenon_Hc7 zenon_Hea zenon_Hae zenon_H18e zenon_H99 zenon_H96 zenon_H76 zenon_Hd6 zenon_H24 zenon_H20 zenon_H82 zenon_H17a zenon_H190 zenon_H58 zenon_H2d zenon_H15e zenon_H117 zenon_H11d zenon_H13a zenon_H135 zenon_H3a zenon_H11e zenon_H142 zenon_H10b zenon_H7b zenon_H154 zenon_H12b zenon_H8b zenon_H182 zenon_H160 zenon_H111 zenon_H4a zenon_H16b zenon_H43 zenon_H40 zenon_H178 zenon_H16a zenon_H173 zenon_H19 zenon_Hf7 zenon_Hfa zenon_H9e zenon_H155 zenon_H122 zenon_H126 zenon_H13f zenon_H161 zenon_H38e zenon_H391 zenon_H396 zenon_H377 zenon_H37b zenon_H387 zenon_H37f zenon_H39d zenon_H39a zenon_H416 zenon_H371 zenon_H362 zenon_H35d zenon_H360 zenon_H36b zenon_H368 zenon_H36e zenon_H365 zenon_H3a9 zenon_H1f5 zenon_H2e6 zenon_H1c9 zenon_H1da zenon_H2ce zenon_H33a zenon_H336 zenon_H264 zenon_H14 zenon_H19b zenon_H2ff zenon_H274.
% 49.46/49.60 apply (zenon_or_s _ _ zenon_H342); [ zenon_intro zenon_H2f1 | zenon_intro zenon_H343 ].
% 49.46/49.60 apply (zenon_L287_); trivial.
% 49.46/49.60 apply (zenon_or_s _ _ zenon_H343); [ zenon_intro zenon_H260 | zenon_intro zenon_H344 ].
% 49.46/49.60 apply (zenon_L223_); trivial.
% 49.46/49.60 apply (zenon_or_s _ _ zenon_H344); [ zenon_intro zenon_H28a | zenon_intro zenon_H206 ].
% 49.46/49.60 apply (zenon_L402_); trivial.
% 49.46/49.60 apply (zenon_L732_); trivial.
% 49.46/49.60 (* end of lemma zenon_L733_ *)
% 49.46/49.60 assert (zenon_L734_ : (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e23)) = (e20)) -> ((op2 (e23) (e21)) = (e23)) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (e23) (e22)) = (e22)) -> ((op2 (e22) (e21)) = (e23)) -> ((op2 (e21) (e23)) = (e22)) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e23)) = (e21)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e20)) = (e23)) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((e21) = (e23))) -> ((op2 (e21) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((e10) = (e11))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (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) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((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 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (e22) (op2 (e22) (e22)))) -> (~((h3 (op1 (e13) (e11))) = (op2 (h3 (e13)) (h3 (e11))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((e20) = (e21))) -> ((op2 (e21) (e21)) = (e20)) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> False).
% 49.46/49.60 do 0 intro. intros zenon_H2cb zenon_H2c0 zenon_H30d zenon_H2fa zenon_H314 zenon_H256 zenon_H342 zenon_H215 zenon_H238 zenon_H258 zenon_H1d1 zenon_H2b4 zenon_H26d zenon_H241 zenon_H1a6 zenon_H2da zenon_H1ec zenon_H19d zenon_H1f0 zenon_H205 zenon_H19e zenon_H253 zenon_H297 zenon_H291 zenon_H298 zenon_H1fc zenon_H2a0 zenon_H29c zenon_H1d2 zenon_H1de zenon_H213 zenon_H218 zenon_H25a zenon_H1e6 zenon_H228 zenon_H1ad zenon_H277 zenon_H4f zenon_H113 zenon_H23 zenon_H180 zenon_H187 zenon_H1f zenon_H15f zenon_H16c zenon_H67 zenon_H6c zenon_Hfd zenon_H33 zenon_H18d zenon_H15a zenon_H146 zenon_H151 zenon_Hd9 zenon_H185 zenon_H108 zenon_He0 zenon_H63 zenon_Hc7 zenon_Hea zenon_Hae zenon_H18e zenon_H99 zenon_H96 zenon_H76 zenon_Hd6 zenon_H24 zenon_H20 zenon_H82 zenon_H17a zenon_H190 zenon_H58 zenon_H2d zenon_H15e zenon_H117 zenon_H11d zenon_H13a zenon_H135 zenon_H3a zenon_H11e zenon_H142 zenon_H10b zenon_H7b zenon_H154 zenon_H12b zenon_H8b zenon_H182 zenon_H160 zenon_H111 zenon_H4a zenon_H16b zenon_H43 zenon_H40 zenon_H178 zenon_H16a zenon_H173 zenon_H19 zenon_Hf7 zenon_Hfa zenon_H9e zenon_H155 zenon_H122 zenon_H126 zenon_H13f zenon_H161 zenon_H38e zenon_H391 zenon_H396 zenon_H377 zenon_H37b zenon_H387 zenon_H37f zenon_H39d zenon_H39a zenon_H416 zenon_H371 zenon_H362 zenon_H35d zenon_H360 zenon_H36b zenon_H368 zenon_H36e zenon_H365 zenon_H3a9 zenon_H1f5 zenon_H2e6 zenon_H1c9 zenon_H1da zenon_H2ce zenon_H33a zenon_H336 zenon_H264 zenon_H14 zenon_H19b zenon_H2ff zenon_H274.
% 49.46/49.60 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H206 | zenon_intro zenon_H2cc ].
% 49.46/49.60 apply (zenon_L732_); trivial.
% 49.46/49.60 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H2bf | zenon_intro zenon_H2cd ].
% 49.46/49.60 apply (zenon_L245_); trivial.
% 49.46/49.60 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H275 | zenon_intro zenon_H2a6 ].
% 49.46/49.60 apply (zenon_L408_); trivial.
% 49.46/49.60 apply (zenon_L733_); trivial.
% 49.46/49.60 (* end of lemma zenon_L734_ *)
% 49.46/49.60 assert (zenon_L735_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e23) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (e23) (e22)) = (e22)) -> ((op2 (e22) (e21)) = (e23)) -> ((op2 (e21) (e23)) = (e22)) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e20)) = (e23)) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((e21) = (e23))) -> ((op2 (e21) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((e10) = (e11))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (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) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((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 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (e22) (op2 (e22) (e22)))) -> (~((h3 (op1 (e13) (e11))) = (op2 (h3 (e13)) (h3 (e11))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((e20) = (e21))) -> ((op2 (e21) (e21)) = (e20)) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> False).
% 49.46/49.60 do 0 intro. intros zenon_H2af zenon_H1b4 zenon_H314 zenon_H2fa zenon_H30d zenon_H2c0 zenon_H2cb zenon_H342 zenon_H215 zenon_H238 zenon_H258 zenon_H1d1 zenon_H2b4 zenon_H241 zenon_H1a6 zenon_H2da zenon_H1ec zenon_H19d zenon_H1f0 zenon_H205 zenon_H19e zenon_H253 zenon_H297 zenon_H291 zenon_H298 zenon_H1fc zenon_H2a0 zenon_H29c zenon_H1d2 zenon_H1de zenon_H213 zenon_H218 zenon_H25a zenon_H1e6 zenon_H228 zenon_H1ad zenon_H277 zenon_H4f zenon_H113 zenon_H23 zenon_H180 zenon_H187 zenon_H1f zenon_H15f zenon_H16c zenon_H67 zenon_H6c zenon_Hfd zenon_H33 zenon_H18d zenon_H15a zenon_H146 zenon_H151 zenon_Hd9 zenon_H185 zenon_H108 zenon_He0 zenon_H63 zenon_Hc7 zenon_Hea zenon_Hae zenon_H18e zenon_H99 zenon_H96 zenon_H76 zenon_Hd6 zenon_H24 zenon_H20 zenon_H82 zenon_H17a zenon_H190 zenon_H58 zenon_H2d zenon_H15e zenon_H117 zenon_H11d zenon_H13a zenon_H135 zenon_H3a zenon_H11e zenon_H142 zenon_H10b zenon_H7b zenon_H154 zenon_H12b zenon_H8b zenon_H182 zenon_H160 zenon_H111 zenon_H4a zenon_H16b zenon_H43 zenon_H40 zenon_H178 zenon_H16a zenon_H173 zenon_H19 zenon_Hf7 zenon_Hfa zenon_H9e zenon_H155 zenon_H122 zenon_H126 zenon_H13f zenon_H161 zenon_H38e zenon_H391 zenon_H396 zenon_H377 zenon_H37b zenon_H387 zenon_H37f zenon_H39d zenon_H39a zenon_H416 zenon_H371 zenon_H362 zenon_H35d zenon_H360 zenon_H36b zenon_H368 zenon_H36e zenon_H365 zenon_H3a9 zenon_H1f5 zenon_H2e6 zenon_H1c9 zenon_H1da zenon_H2ce zenon_H33a zenon_H336 zenon_H264 zenon_H14 zenon_H19b zenon_H2ff zenon_H274.
% 49.46/49.60 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H29b | zenon_intro zenon_H2a1 ].
% 49.46/49.60 apply (zenon_L222_); trivial.
% 49.46/49.60 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H20e | zenon_intro zenon_H2a2 ].
% 49.46/49.60 apply (zenon_L723_); trivial.
% 49.46/49.60 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H295 | zenon_intro zenon_H26d ].
% 49.46/49.60 apply (zenon_L218_); trivial.
% 49.46/49.60 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H2b0 ].
% 49.46/49.60 apply (zenon_L160_); trivial.
% 49.46/49.60 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H256 | zenon_intro zenon_H2b1 ].
% 49.46/49.60 apply (zenon_L734_); trivial.
% 49.46/49.60 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H229 | zenon_intro zenon_H2a6 ].
% 49.46/49.60 apply (zenon_L219_); trivial.
% 49.46/49.60 apply (zenon_L733_); trivial.
% 49.46/49.60 (* end of lemma zenon_L735_ *)
% 49.46/49.60 assert (zenon_L736_ : (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> (~((e20) = (e21))) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((h3 (op1 (e13) (e11))) = (op2 (h3 (e13)) (h3 (e11))))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (e22) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (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 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((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) (e10)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (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 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e11))) -> False).
% 49.46/49.60 do 0 intro. intros zenon_H2e6 zenon_H1e1 zenon_H1d0 zenon_H1c9 zenon_H1da zenon_H1e6 zenon_H14 zenon_H3a9 zenon_H365 zenon_H36e zenon_H368 zenon_H36b zenon_H360 zenon_H35d zenon_H362 zenon_H371 zenon_H416 zenon_H19b zenon_H39a zenon_H19e zenon_H39d zenon_H37f zenon_H387 zenon_H37b zenon_H377 zenon_H396 zenon_H391 zenon_H38e zenon_H161 zenon_H13f zenon_H126 zenon_H122 zenon_H155 zenon_H9e zenon_Hfa zenon_Hf7 zenon_H19 zenon_H173 zenon_H16a zenon_H178 zenon_H40 zenon_H43 zenon_H16b zenon_H4a zenon_H111 zenon_H160 zenon_H182 zenon_H8b zenon_H12b zenon_H154 zenon_H7b zenon_H10b zenon_H142 zenon_H11e zenon_H3a zenon_H135 zenon_H13a zenon_H11d zenon_H117 zenon_H15e zenon_H2d zenon_H58 zenon_H190 zenon_H17a zenon_H82 zenon_H20 zenon_H24 zenon_Hd6 zenon_H76 zenon_H96 zenon_H99 zenon_H18e zenon_Hae zenon_Hea zenon_Hc7 zenon_H63 zenon_He0 zenon_H108 zenon_H185 zenon_Hd9 zenon_H151 zenon_H146 zenon_H15a zenon_H18d zenon_H33 zenon_Hfd zenon_H6c zenon_H67 zenon_H16c zenon_H15f zenon_H1f zenon_H187 zenon_H180 zenon_H23 zenon_H113 zenon_H4f.
% 49.46/49.60 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H2eb ].
% 49.46/49.60 apply (zenon_L173_); trivial.
% 49.46/49.60 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H1db | zenon_intro zenon_H2ec ].
% 49.46/49.60 apply (zenon_L171_); trivial.
% 49.46/49.60 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H20e ].
% 49.46/49.60 apply (zenon_L174_); trivial.
% 49.46/49.60 apply (zenon_L723_); trivial.
% 49.46/49.60 (* end of lemma zenon_L736_ *)
% 49.46/49.60 assert (zenon_L737_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> (~((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)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> ((op2 (e20) (e23)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((e20) = (e21))) -> (~((e21) = (e23))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((e21) = (e22))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((h3 (op1 (e13) (e11))) = (op2 (h3 (e13)) (h3 (e11))))) -> ((h3 (e11)) = (op2 (e22) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (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 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((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) (e10)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (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 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e11))) -> (~((e20) = (e23))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False).
% 49.46/49.60 do 0 intro. intros zenon_H1ba zenon_H19d zenon_H1fc zenon_H213 zenon_H1dd zenon_H1d0 zenon_H25a zenon_H282 zenon_H253 zenon_H206 zenon_H205 zenon_H277 zenon_H228 zenon_H1e6 zenon_H218 zenon_H264 zenon_H1c9 zenon_H1d2 zenon_H271 zenon_H274 zenon_H210 zenon_H285 zenon_H2e6 zenon_H1e1 zenon_H3a9 zenon_H365 zenon_H36e zenon_H368 zenon_H36b zenon_H360 zenon_H35d zenon_H362 zenon_H371 zenon_H416 zenon_H39a zenon_H39d zenon_H37f zenon_H387 zenon_H37b zenon_H377 zenon_H396 zenon_H391 zenon_H38e zenon_H161 zenon_H13f zenon_H126 zenon_H122 zenon_H155 zenon_H9e zenon_Hfa zenon_Hf7 zenon_H19 zenon_H173 zenon_H16a zenon_H178 zenon_H40 zenon_H43 zenon_H16b zenon_H4a zenon_H111 zenon_H160 zenon_H182 zenon_H8b zenon_H12b zenon_H154 zenon_H7b zenon_H10b zenon_H142 zenon_H11e zenon_H3a zenon_H135 zenon_H13a zenon_H11d zenon_H117 zenon_H15e zenon_H2d zenon_H58 zenon_H190 zenon_H17a zenon_H82 zenon_H20 zenon_H24 zenon_Hd6 zenon_H76 zenon_H96 zenon_H99 zenon_H18e zenon_Hae zenon_Hea zenon_Hc7 zenon_H63 zenon_He0 zenon_H108 zenon_H185 zenon_Hd9 zenon_H151 zenon_H146 zenon_H15a zenon_H18d zenon_H33 zenon_Hfd zenon_H6c zenon_H67 zenon_H16c zenon_H15f zenon_H1f zenon_H187 zenon_H180 zenon_H23 zenon_H113 zenon_H4f zenon_H1a7 zenon_H2db zenon_H1ad zenon_H19e zenon_H14 zenon_H19b zenon_H1b4.
% 49.46/49.60 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ].
% 49.46/49.60 apply (zenon_L156_); trivial.
% 49.46/49.60 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ].
% 49.46/49.60 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2dd ].
% 49.46/49.60 apply (zenon_L158_); trivial.
% 49.46/49.60 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1da | zenon_intro zenon_H2de ].
% 49.46/49.60 apply (zenon_L736_); trivial.
% 49.46/49.60 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H25b | zenon_intro zenon_H261 ].
% 49.46/49.60 apply (zenon_L196_); trivial.
% 49.46/49.60 apply (zenon_L213_); trivial.
% 49.46/49.60 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ].
% 49.46/49.60 apply (zenon_L159_); trivial.
% 49.46/49.60 apply (zenon_L160_); trivial.
% 49.46/49.60 (* end of lemma zenon_L737_ *)
% 49.46/49.61 assert (zenon_L738_ : (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((e22) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> (~((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)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((e20) = (e21))) -> (~((e21) = (e23))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((e21) = (e22))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((h3 (op1 (e13) (e11))) = (op2 (h3 (e13)) (h3 (e11))))) -> ((h3 (e11)) = (op2 (e22) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (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 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((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) (e10)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (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 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e11))) -> (~((e20) = (e23))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False).
% 49.46/49.61 do 0 intro. intros zenon_H2b4 zenon_H29c zenon_H2fa zenon_H31f zenon_H2bc zenon_H325 zenon_H328 zenon_H2ed zenon_H28b zenon_H31a zenon_H2a0 zenon_H2cf zenon_H301 zenon_H2cb zenon_H2c0 zenon_H317 zenon_H241 zenon_H31c zenon_H1f0 zenon_H250 zenon_H291 zenon_H30d zenon_H308 zenon_H30a zenon_H2d9 zenon_H28d zenon_H297 zenon_H2a5 zenon_H322 zenon_H2ff zenon_H2af zenon_H2d4 zenon_H307 zenon_H1ba zenon_H19d zenon_H1fc zenon_H213 zenon_H1dd zenon_H1d0 zenon_H25a zenon_H282 zenon_H253 zenon_H205 zenon_H277 zenon_H228 zenon_H1e6 zenon_H218 zenon_H264 zenon_H1c9 zenon_H1d2 zenon_H271 zenon_H274 zenon_H210 zenon_H285 zenon_H2e6 zenon_H1e1 zenon_H3a9 zenon_H365 zenon_H36e zenon_H368 zenon_H36b zenon_H360 zenon_H35d zenon_H362 zenon_H371 zenon_H416 zenon_H39a zenon_H39d zenon_H37f zenon_H387 zenon_H37b zenon_H377 zenon_H396 zenon_H391 zenon_H38e zenon_H161 zenon_H13f zenon_H126 zenon_H122 zenon_H155 zenon_H9e zenon_Hfa zenon_Hf7 zenon_H19 zenon_H173 zenon_H16a zenon_H178 zenon_H40 zenon_H43 zenon_H16b zenon_H4a zenon_H111 zenon_H160 zenon_H182 zenon_H8b zenon_H12b zenon_H154 zenon_H7b zenon_H10b zenon_H142 zenon_H11e zenon_H3a zenon_H135 zenon_H13a zenon_H11d zenon_H117 zenon_H15e zenon_H2d zenon_H58 zenon_H190 zenon_H17a zenon_H82 zenon_H20 zenon_H24 zenon_Hd6 zenon_H76 zenon_H96 zenon_H99 zenon_H18e zenon_Hae zenon_Hea zenon_Hc7 zenon_H63 zenon_He0 zenon_H108 zenon_H185 zenon_Hd9 zenon_H151 zenon_H146 zenon_H15a zenon_H18d zenon_H33 zenon_Hfd zenon_H6c zenon_H67 zenon_H16c zenon_H15f zenon_H1f zenon_H187 zenon_H180 zenon_H23 zenon_H113 zenon_H4f zenon_H1a7 zenon_H2db zenon_H1ad zenon_H19e zenon_H14 zenon_H19b zenon_H1b4.
% 49.46/49.61 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H19f | zenon_intro zenon_H28e ].
% 49.46/49.61 apply (zenon_L156_); trivial.
% 49.46/49.61 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28f ].
% 49.46/49.61 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ].
% 49.46/49.61 apply (zenon_L156_); trivial.
% 49.46/49.61 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ].
% 49.46/49.61 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2dd ].
% 49.46/49.61 apply (zenon_L158_); trivial.
% 49.46/49.61 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1da | zenon_intro zenon_H2de ].
% 49.46/49.61 apply (zenon_L736_); trivial.
% 49.46/49.61 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H25b | zenon_intro zenon_H261 ].
% 49.46/49.61 apply (zenon_L196_); trivial.
% 49.46/49.61 apply (zenon_L673_); trivial.
% 49.46/49.61 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ].
% 49.46/49.61 apply (zenon_L159_); trivial.
% 49.46/49.61 apply (zenon_L160_); trivial.
% 49.46/49.61 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H206 ].
% 49.46/49.61 apply (zenon_L169_); trivial.
% 49.46/49.61 apply (zenon_L737_); trivial.
% 49.46/49.61 (* end of lemma zenon_L738_ *)
% 49.46/49.61 assert (zenon_L739_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e22)) = (e21)) -> (~((e21) = (e22))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((op2 (e22) (e20)) = (e21)) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> ((op2 (e20) (e21)) = (e21)) -> (~((e20) = (e21))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((e20) = (e22))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> ((op2 (e21) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e22)) = (e23)) -> False).
% 49.46/49.61 do 0 intro. intros zenon_H250 zenon_H2b4 zenon_H25a zenon_H322 zenon_H295 zenon_H210 zenon_H28d zenon_H1d2 zenon_H1ad zenon_H2db zenon_H2cb zenon_H2c0 zenon_H30d zenon_H317 zenon_H30a zenon_H1c8 zenon_H1c9 zenon_H2da zenon_H291 zenon_H298 zenon_H1f0 zenon_H2d9 zenon_H301 zenon_H2af zenon_H1a7 zenon_H297 zenon_H33a zenon_H336 zenon_H264 zenon_H274 zenon_H19d zenon_H1ba zenon_H28b zenon_H325 zenon_H1b4 zenon_H19b zenon_H2fa zenon_H29c zenon_H194 zenon_H331 zenon_H31f zenon_H214 zenon_H213 zenon_H218 zenon_H206 zenon_H225 zenon_H228 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H241 zenon_H229.
% 49.46/49.61 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H20c | zenon_intro zenon_H251 ].
% 49.46/49.61 apply (zenon_L430_); trivial.
% 49.46/49.61 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H20f | zenon_intro zenon_H252 ].
% 49.46/49.61 apply (zenon_L435_); trivial.
% 49.46/49.61 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H215 | zenon_intro zenon_H242 ].
% 49.46/49.61 apply (zenon_L183_); trivial.
% 49.46/49.61 apply (zenon_L191_); trivial.
% 49.46/49.61 (* end of lemma zenon_L739_ *)
% 49.46/49.61 assert (zenon_L740_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e21)) = (e23)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e22)) = (e21)) -> ((op2 (e21) (e23)) = (e21)) -> (~((e21) = (e22))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((op2 (e22) (e20)) = (e21)) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> ((op2 (e20) (e21)) = (e21)) -> (~((e20) = (e21))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((e20) = (e22))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False).
% 49.46/49.61 do 0 intro. intros zenon_H250 zenon_H218 zenon_H206 zenon_H25a zenon_H1e6 zenon_H238 zenon_H322 zenon_H295 zenon_H225 zenon_H210 zenon_H28d zenon_H1d2 zenon_H1ad zenon_H2db zenon_H2cb zenon_H2c0 zenon_H30d zenon_H317 zenon_H30a zenon_H1c8 zenon_H1c9 zenon_H2da zenon_H291 zenon_H298 zenon_H1f0 zenon_H2d9 zenon_H301 zenon_H2af zenon_H1a7 zenon_H297 zenon_H33a zenon_H336 zenon_H264 zenon_H274 zenon_H241 zenon_H19d zenon_H1ba zenon_H28b zenon_H325 zenon_H2fa zenon_H214 zenon_H213 zenon_H31f zenon_H331 zenon_H194 zenon_H29c zenon_H2b4 zenon_H19e zenon_H14 zenon_H19b zenon_H1b4.
% 49.46/49.61 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H20c | zenon_intro zenon_H251 ].
% 49.46/49.61 apply (zenon_L430_); trivial.
% 49.46/49.61 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H20f | zenon_intro zenon_H252 ].
% 49.46/49.61 apply (zenon_L435_); trivial.
% 49.46/49.61 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H215 | zenon_intro zenon_H242 ].
% 49.46/49.61 apply (zenon_L183_); trivial.
% 49.46/49.61 apply (zenon_L391_); trivial.
% 49.46/49.61 (* end of lemma zenon_L740_ *)
% 49.46/49.61 assert (zenon_L741_ : (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e20) (e23)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((e20) = (e21))) -> (~((e21) = (e23))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((e22) = (e23))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((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) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (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) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e22) (e20)) = (e21)) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((e21) = (e22))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e23) (e21)) = (e20)) -> (~((e20) = (e23))) -> False).
% 49.46/49.61 do 0 intro. intros zenon_H228 zenon_H19e zenon_H14 zenon_H1e6 zenon_H214 zenon_H25a zenon_H206 zenon_H218 zenon_H19b zenon_H264 zenon_H261 zenon_H1c9 zenon_H1d2 zenon_H271 zenon_H205 zenon_H1fc zenon_H33a zenon_H336 zenon_H274 zenon_H1c8 zenon_H331 zenon_H291 zenon_H308 zenon_H2af zenon_H2d8 zenon_H2da zenon_H194 zenon_H195 zenon_H328 zenon_H2ed zenon_H285 zenon_H2bc zenon_H2ce zenon_H1f5 zenon_H322 zenon_H325 zenon_H2b9 zenon_H298 zenon_H297 zenon_H2fc zenon_H28b zenon_H1ba zenon_H19d zenon_H1dd zenon_H213 zenon_H282 zenon_H31a zenon_H2a0 zenon_H2cf zenon_H301 zenon_H2e6 zenon_H277 zenon_H307 zenon_H2d4 zenon_H2cb zenon_H2c0 zenon_H253 zenon_H2ff zenon_H317 zenon_H241 zenon_H31c zenon_H2a5 zenon_H1f0 zenon_H250 zenon_H30d zenon_H30a zenon_H2d9 zenon_H2db zenon_H1ad zenon_H28d zenon_H210 zenon_H31f zenon_H2fa zenon_H29c zenon_H2b4 zenon_H1b4 zenon_H305 zenon_H1a7.
% 49.46/49.61 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d0 ].
% 49.46/49.61 apply (zenon_L444_); trivial.
% 49.46/49.61 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H2d1 ].
% 49.46/49.61 apply (zenon_L177_); trivial.
% 49.46/49.61 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H238 | zenon_intro zenon_H256 ].
% 49.46/49.61 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H2d2 ].
% 49.46/49.61 apply (zenon_L207_); trivial.
% 49.46/49.61 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H1de | zenon_intro zenon_H2d3 ].
% 49.46/49.61 apply (zenon_L450_); trivial.
% 49.46/49.61 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H295 ].
% 49.46/49.61 apply (zenon_L240_); trivial.
% 49.46/49.61 apply (zenon_L453_); trivial.
% 49.46/49.61 apply (zenon_L335_); trivial.
% 49.46/49.61 (* end of lemma zenon_L741_ *)
% 49.46/49.61 assert (zenon_L742_ : (~((e20) = (e23))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((h3 (op1 (e13) (e11))) = (op2 (h3 (e13)) (h3 (e11))))) -> ((h3 (e11)) = (op2 (e22) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (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 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((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) (e10)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (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 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e11))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e21) = (e22))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> ((op2 (e22) (e20)) = (e21)) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e23)) = (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) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (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) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((e22) = (e23))) -> (~((e21) = (e23))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (e20) (e20)) = (e20)) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False).
% 49.46/49.61 do 0 intro. intros zenon_H1a7 zenon_H342 zenon_H34b zenon_H1c4 zenon_H3a9 zenon_H365 zenon_H36e zenon_H368 zenon_H36b zenon_H360 zenon_H35d zenon_H362 zenon_H371 zenon_H416 zenon_H39a zenon_H39d zenon_H37f zenon_H387 zenon_H37b zenon_H377 zenon_H396 zenon_H391 zenon_H38e zenon_H161 zenon_H13f zenon_H126 zenon_H122 zenon_H155 zenon_H9e zenon_Hfa zenon_Hf7 zenon_H19 zenon_H173 zenon_H16a zenon_H178 zenon_H40 zenon_H43 zenon_H16b zenon_H4a zenon_H111 zenon_H160 zenon_H182 zenon_H8b zenon_H12b zenon_H154 zenon_H7b zenon_H10b zenon_H142 zenon_H11e zenon_H3a zenon_H135 zenon_H13a zenon_H11d zenon_H117 zenon_H15e zenon_H2d zenon_H58 zenon_H190 zenon_H17a zenon_H82 zenon_H20 zenon_H24 zenon_Hd6 zenon_H76 zenon_H96 zenon_H99 zenon_H18e zenon_Hae zenon_Hea zenon_Hc7 zenon_H63 zenon_He0 zenon_H108 zenon_H185 zenon_Hd9 zenon_H151 zenon_H146 zenon_H15a zenon_H18d zenon_H33 zenon_Hfd zenon_H6c zenon_H67 zenon_H16c zenon_H15f zenon_H1f zenon_H187 zenon_H180 zenon_H23 zenon_H113 zenon_H4f zenon_H331 zenon_H1c8 zenon_H274 zenon_H336 zenon_H33a zenon_H271 zenon_H210 zenon_H28d zenon_H2db zenon_H2d9 zenon_H30a zenon_H30d zenon_H250 zenon_H1f0 zenon_H2a5 zenon_H31c zenon_H241 zenon_H317 zenon_H2ff zenon_H253 zenon_H2c0 zenon_H205 zenon_H2cb zenon_H2d4 zenon_H307 zenon_H277 zenon_H2e6 zenon_H301 zenon_H2cf zenon_H29c zenon_H2a0 zenon_H31a zenon_H282 zenon_H25a zenon_H213 zenon_H1dd zenon_H1fc zenon_H19d zenon_H1ba zenon_H28b zenon_H1d2 zenon_H2fc zenon_H297 zenon_H298 zenon_H2b9 zenon_H325 zenon_H322 zenon_H1f5 zenon_H2ce zenon_H2bc zenon_H285 zenon_H2ed zenon_H328 zenon_H31f zenon_H2fa zenon_H195 zenon_H194 zenon_H2da zenon_H2d8 zenon_H1c9 zenon_H264 zenon_H2af zenon_H228 zenon_H308 zenon_H218 zenon_H206 zenon_H2b4 zenon_H1e6 zenon_H291 zenon_H1ec zenon_H1e1 zenon_H1ad zenon_H19e zenon_H14 zenon_H19b zenon_H1b4.
% 49.46/49.61 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ].
% 49.46/49.61 apply (zenon_L156_); trivial.
% 49.46/49.61 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ].
% 49.46/49.61 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2dd ].
% 49.46/49.61 apply (zenon_L158_); trivial.
% 49.46/49.61 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1da | zenon_intro zenon_H2de ].
% 49.46/49.61 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H2df ].
% 49.46/49.61 apply (zenon_L170_); trivial.
% 49.46/49.61 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H1db | zenon_intro zenon_H2e0 ].
% 49.46/49.61 apply (zenon_L171_); trivial.
% 49.46/49.61 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1de | zenon_intro zenon_H225 ].
% 49.46/49.61 apply (zenon_L732_); trivial.
% 49.46/49.61 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H1ed | zenon_intro zenon_H2e1 ].
% 49.46/49.61 apply (zenon_L175_); trivial.
% 49.46/49.61 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H1ef | zenon_intro zenon_H2e2 ].
% 49.46/49.61 apply (zenon_L176_); trivial.
% 49.46/49.61 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H214 | zenon_intro zenon_H258 ].
% 49.46/49.61 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d0 ].
% 49.46/49.61 apply (zenon_L444_); trivial.
% 49.46/49.61 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H2d1 ].
% 49.46/49.61 apply (zenon_L177_); trivial.
% 49.46/49.61 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H238 | zenon_intro zenon_H256 ].
% 49.46/49.61 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H2d2 ].
% 49.46/49.61 apply (zenon_L737_); trivial.
% 49.46/49.61 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H1de | zenon_intro zenon_H2d3 ].
% 49.46/49.61 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H254 ].
% 49.46/49.61 apply (zenon_L220_); trivial.
% 49.46/49.61 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1fb | zenon_intro zenon_H255 ].
% 49.46/49.61 apply (zenon_L178_); trivial.
% 49.46/49.61 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H203 | zenon_intro zenon_H229 ].
% 49.46/49.61 apply (zenon_L180_); trivial.
% 49.46/49.61 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H29b | zenon_intro zenon_H2a1 ].
% 49.46/49.61 apply (zenon_L222_); trivial.
% 49.46/49.61 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H20e | zenon_intro zenon_H2a2 ].
% 49.46/49.61 apply (zenon_L723_); trivial.
% 49.46/49.61 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H295 | zenon_intro zenon_H26d ].
% 49.46/49.61 apply (zenon_L739_); trivial.
% 49.46/49.61 apply (zenon_L203_); trivial.
% 49.46/49.61 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H295 ].
% 49.46/49.61 apply (zenon_L240_); trivial.
% 49.46/49.61 apply (zenon_L740_); trivial.
% 49.46/49.61 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H2d2 ].
% 49.46/49.61 apply (zenon_L736_); trivial.
% 49.46/49.61 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H1de | zenon_intro zenon_H2d3 ].
% 49.46/49.61 apply (zenon_L459_); trivial.
% 49.46/49.61 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H295 ].
% 49.46/49.61 apply (zenon_L460_); trivial.
% 49.46/49.61 apply (zenon_L463_); trivial.
% 49.46/49.61 apply (zenon_L388_); trivial.
% 49.46/49.61 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H25b | zenon_intro zenon_H261 ].
% 49.46/49.61 apply (zenon_L196_); trivial.
% 49.46/49.61 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H193 | zenon_intro zenon_H30b ].
% 49.46/49.61 apply (zenon_L166_); trivial.
% 49.46/49.61 apply (zenon_or_s _ _ zenon_H30b); [ zenon_intro zenon_H1da | zenon_intro zenon_H30c ].
% 49.46/49.61 apply (zenon_L395_); trivial.
% 49.46/49.61 apply (zenon_or_s _ _ zenon_H30c); [ zenon_intro zenon_H302 | zenon_intro zenon_H305 ].
% 49.46/49.61 apply (zenon_L292_); trivial.
% 49.46/49.61 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d0 ].
% 49.46/49.61 apply (zenon_L265_); trivial.
% 49.46/49.61 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H2d1 ].
% 49.46/49.61 apply (zenon_L177_); trivial.
% 49.46/49.61 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H238 | zenon_intro zenon_H256 ].
% 49.46/49.61 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H25e | zenon_intro zenon_H286 ].
% 49.46/49.61 apply (zenon_L731_); trivial.
% 49.46/49.61 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H214 | zenon_intro zenon_H287 ].
% 49.46/49.61 apply (zenon_L741_); trivial.
% 49.46/49.61 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H27b | zenon_intro zenon_H215 ].
% 49.46/49.61 apply (zenon_L211_); trivial.
% 49.46/49.61 apply (zenon_L452_); trivial.
% 49.46/49.61 apply (zenon_L335_); trivial.
% 49.46/49.61 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ].
% 49.46/49.61 apply (zenon_L159_); trivial.
% 49.46/49.61 apply (zenon_L160_); trivial.
% 49.46/49.61 (* end of lemma zenon_L742_ *)
% 49.46/49.61 assert (zenon_L743_ : (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((e10) = (e11))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (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) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((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 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (e22) (op2 (e22) (e22)))) -> (~((h3 (op1 (e13) (e11))) = (op2 (h3 (e13)) (h3 (e11))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e21)) = (e23)) -> (~((e22) = (e23))) -> (((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)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((e21) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((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)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((e21) = (e23))) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((e20) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((e20) = (e22))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((e20) = (e21))) -> ((op2 (e20) (e21)) = (e21)) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e22) (e22)) = (e23)) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> False).
% 49.46/49.61 do 0 intro. intros zenon_H1e1 zenon_H2b4 zenon_H2d8 zenon_H194 zenon_H195 zenon_H31f zenon_H328 zenon_H2ed zenon_H2bc zenon_H322 zenon_H325 zenon_H2b9 zenon_H2fc zenon_H1ba zenon_H31c zenon_H28d zenon_H271 zenon_H331 zenon_H4f zenon_H113 zenon_H23 zenon_H180 zenon_H187 zenon_H1f zenon_H15f zenon_H16c zenon_H67 zenon_H6c zenon_Hfd zenon_H33 zenon_H18d zenon_H15a zenon_H146 zenon_H151 zenon_Hd9 zenon_H185 zenon_H108 zenon_He0 zenon_H63 zenon_Hc7 zenon_Hea zenon_Hae zenon_H18e zenon_H99 zenon_H96 zenon_H76 zenon_Hd6 zenon_H24 zenon_H20 zenon_H82 zenon_H17a zenon_H190 zenon_H58 zenon_H2d zenon_H15e zenon_H117 zenon_H11d zenon_H13a zenon_H135 zenon_H3a zenon_H11e zenon_H142 zenon_H10b zenon_H7b zenon_H154 zenon_H12b zenon_H8b zenon_H182 zenon_H160 zenon_H111 zenon_H4a zenon_H16b zenon_H43 zenon_H40 zenon_H178 zenon_H16a zenon_H173 zenon_H19 zenon_Hf7 zenon_Hfa zenon_H9e zenon_H155 zenon_H122 zenon_H126 zenon_H13f zenon_H161 zenon_H38e zenon_H391 zenon_H396 zenon_H377 zenon_H37b zenon_H387 zenon_H37f zenon_H39d zenon_H39a zenon_H416 zenon_H371 zenon_H362 zenon_H35d zenon_H360 zenon_H36b zenon_H368 zenon_H36e zenon_H365 zenon_H3a9 zenon_H1c4 zenon_H34b zenon_H297 zenon_H1d1 zenon_H14 zenon_H264 zenon_H214 zenon_H25a zenon_H241 zenon_H213 zenon_H256 zenon_H28b zenon_H342 zenon_H205 zenon_H1ec zenon_H19d zenon_H2ce zenon_H210 zenon_H250 zenon_H228 zenon_H1da zenon_H308 zenon_H277 zenon_H2e6 zenon_H307 zenon_H253 zenon_H2ff zenon_H1fc zenon_H282 zenon_H31a zenon_H2cf zenon_H1f5 zenon_H1e6 zenon_H2a5 zenon_H2a0 zenon_H29c zenon_H218 zenon_H1dd zenon_H285 zenon_H1d2 zenon_H1a6 zenon_H336 zenon_H33a zenon_H1a7 zenon_H1b4 zenon_H2af zenon_H301 zenon_H2d9 zenon_H1ad zenon_H1f0 zenon_H298 zenon_H291 zenon_H2da zenon_H1c9 zenon_H1c8 zenon_H30a zenon_H317 zenon_H30d zenon_H2fa zenon_H2c0 zenon_H2cb zenon_H2db zenon_H274 zenon_H19e zenon_H203 zenon_H19b zenon_H2d4.
% 49.46/49.61 apply (zenon_or_s _ _ zenon_H317); [ zenon_intro zenon_H20b | zenon_intro zenon_H318 ].
% 49.46/49.61 apply (zenon_L382_); trivial.
% 49.46/49.61 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H305 | zenon_intro zenon_H319 ].
% 49.46/49.61 apply (zenon_L335_); trivial.
% 49.46/49.61 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H290 | zenon_intro zenon_H314 ].
% 49.46/49.61 apply (zenon_L217_); trivial.
% 49.46/49.61 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H206 | zenon_intro zenon_H2cc ].
% 49.46/49.61 apply (zenon_L742_); trivial.
% 49.46/49.61 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H2bf | zenon_intro zenon_H2cd ].
% 49.46/49.61 apply (zenon_L245_); trivial.
% 49.46/49.61 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H275 | zenon_intro zenon_H2a6 ].
% 49.46/49.61 apply (zenon_L439_); trivial.
% 49.46/49.61 apply (zenon_L256_); trivial.
% 49.46/49.61 (* end of lemma zenon_L743_ *)
% 49.46/49.61 assert (zenon_L744_ : ((op2 (e23) (e22)) = (e23)) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22))) = (op2 (h3 (e13)) (h3 (e12))))) -> False).
% 49.46/49.61 do 0 intro. intros zenon_H229 zenon_H39d zenon_H3b0 zenon_H19e zenon_H41c.
% 49.46/49.61 elim (classic ((op2 (h3 (e13)) (h3 (e12))) = (op2 (h3 (e13)) (h3 (e12))))); [ zenon_intro zenon_H41d | zenon_intro zenon_H41e ].
% 49.46/49.61 cut (((op2 (h3 (e13)) (h3 (e12))) = (op2 (h3 (e13)) (h3 (e12)))) = ((op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22))) = (op2 (h3 (e13)) (h3 (e12))))).
% 49.46/49.61 intro zenon_D_pnotp.
% 49.46/49.61 apply zenon_H41c.
% 49.46/49.61 rewrite <- zenon_D_pnotp.
% 49.46/49.61 exact zenon_H41d.
% 49.46/49.61 cut (((op2 (h3 (e13)) (h3 (e12))) = (op2 (h3 (e13)) (h3 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H41e].
% 49.46/49.61 cut (((op2 (h3 (e13)) (h3 (e12))) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H41f].
% 49.46/49.61 congruence.
% 49.46/49.61 cut (((op2 (e23) (e22)) = (e23)) = ((op2 (h3 (e13)) (h3 (e12))) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22))))).
% 49.46/49.61 intro zenon_D_pnotp.
% 49.46/49.61 apply zenon_H41f.
% 49.46/49.61 rewrite <- zenon_D_pnotp.
% 49.46/49.61 exact zenon_H229.
% 49.46/49.61 cut (((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H3a6].
% 49.46/49.61 cut (((op2 (e23) (e22)) = (op2 (h3 (e13)) (h3 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H420].
% 49.46/49.61 congruence.
% 49.46/49.61 elim (classic ((op2 (h3 (e13)) (h3 (e12))) = (op2 (h3 (e13)) (h3 (e12))))); [ zenon_intro zenon_H41d | zenon_intro zenon_H41e ].
% 49.46/49.61 cut (((op2 (h3 (e13)) (h3 (e12))) = (op2 (h3 (e13)) (h3 (e12)))) = ((op2 (e23) (e22)) = (op2 (h3 (e13)) (h3 (e12))))).
% 49.46/49.61 intro zenon_D_pnotp.
% 49.46/49.61 apply zenon_H420.
% 49.46/49.61 rewrite <- zenon_D_pnotp.
% 49.46/49.61 exact zenon_H41d.
% 49.46/49.61 cut (((op2 (h3 (e13)) (h3 (e12))) = (op2 (h3 (e13)) (h3 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H41e].
% 49.46/49.61 cut (((op2 (h3 (e13)) (h3 (e12))) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H421].
% 49.46/49.61 congruence.
% 49.46/49.61 cut (((h3 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H3d8].
% 49.46/49.61 cut (((h3 (e13)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H3ac].
% 49.46/49.61 congruence.
% 49.46/49.61 apply (zenon_L656_); trivial.
% 49.46/49.61 exact (zenon_H3d8 zenon_H3b0).
% 49.46/49.61 apply zenon_H41e. apply refl_equal.
% 49.46/49.61 apply zenon_H41e. apply refl_equal.
% 49.46/49.61 exact (zenon_H3a6 zenon_H19e).
% 49.46/49.61 apply zenon_H41e. apply refl_equal.
% 49.46/49.61 apply zenon_H41e. apply refl_equal.
% 49.46/49.61 (* end of lemma zenon_L744_ *)
% 49.46/49.61 assert (zenon_L745_ : (~((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12))))) -> ((op1 (e13) (e12)) = (e13)) -> ((op2 (e23) (e22)) = (e23)) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> False).
% 49.46/49.61 do 0 intro. intros zenon_H422 zenon_Haf zenon_H229 zenon_H39d zenon_H19e zenon_H3b0.
% 49.46/49.61 cut (((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) = ((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12))))).
% 49.46/49.61 intro zenon_D_pnotp.
% 49.46/49.61 apply zenon_H422.
% 49.46/49.61 rewrite <- zenon_D_pnotp.
% 49.46/49.61 exact zenon_H39d.
% 49.46/49.61 cut (((op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22))) = (op2 (h3 (e13)) (h3 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H41c].
% 49.46/49.61 cut (((h3 (e13)) = (h3 (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H423].
% 49.46/49.61 congruence.
% 49.46/49.61 elim (classic ((h3 (op1 (e13) (e12))) = (h3 (op1 (e13) (e12))))); [ zenon_intro zenon_H424 | zenon_intro zenon_H425 ].
% 49.46/49.61 cut (((h3 (op1 (e13) (e12))) = (h3 (op1 (e13) (e12)))) = ((h3 (e13)) = (h3 (op1 (e13) (e12))))).
% 49.46/49.61 intro zenon_D_pnotp.
% 49.46/49.61 apply zenon_H423.
% 49.46/49.61 rewrite <- zenon_D_pnotp.
% 49.46/49.61 exact zenon_H424.
% 49.46/49.61 cut (((h3 (op1 (e13) (e12))) = (h3 (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H425].
% 49.46/49.61 cut (((h3 (op1 (e13) (e12))) = (h3 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H426].
% 49.46/49.61 congruence.
% 49.46/49.61 cut (((op1 (e13) (e12)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H107].
% 49.46/49.61 congruence.
% 49.46/49.61 exact (zenon_H107 zenon_Haf).
% 49.46/49.61 apply zenon_H425. apply refl_equal.
% 49.46/49.61 apply zenon_H425. apply refl_equal.
% 49.46/49.61 apply (zenon_L744_); trivial.
% 49.46/49.61 (* end of lemma zenon_L745_ *)
% 49.46/49.61 assert (zenon_L746_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((e10) = (e13))) -> ((op1 (e13) (e11)) = (e10)) -> ((h3 (e12)) = (e22)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e23) (e22)) = (e23)) -> (~((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e12)) -> False).
% 49.46/49.61 do 0 intro. intros zenon_H135 zenon_H3a zenon_H2d zenon_H18b zenon_H3b0 zenon_H19e zenon_H39d zenon_H229 zenon_H422 zenon_H38e zenon_H8b zenon_H12b zenon_Hc7 zenon_H20 zenon_H2c zenon_Hfa zenon_Hea zenon_H37f zenon_H387 zenon_H9e zenon_He7 zenon_H13a zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_H117 zenon_H9b.
% 49.46/49.61 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H39 | zenon_intro zenon_H136 ].
% 49.46/49.61 apply (zenon_L8_); trivial.
% 49.46/49.61 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hdc | zenon_intro zenon_H137 ].
% 49.46/49.61 apply (zenon_L504_); trivial.
% 49.46/49.61 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Haf | zenon_intro zenon_H12c ].
% 49.46/49.61 apply (zenon_L745_); trivial.
% 49.46/49.61 apply (zenon_L584_); trivial.
% 49.46/49.61 (* end of lemma zenon_L746_ *)
% 49.46/49.61 assert (zenon_L747_ : (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> ((op1 (e11) (e12)) = (e11)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((op1 (e10) (e13)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12))))) -> ((op2 (e23) (e22)) = (e23)) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> False).
% 49.46/49.61 do 0 intro. intros zenon_Hd9 zenon_H11d zenon_H99 zenon_H9a zenon_H64 zenon_H117 zenon_H11e zenon_H82 zenon_H1f zenon_H20 zenon_H8c zenon_H24 zenon_H8b zenon_H422 zenon_H229 zenon_H39d zenon_H19e zenon_H3b0.
% 49.46/49.61 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H57 | zenon_intro zenon_Hda ].
% 49.46/49.61 apply (zenon_L68_); trivial.
% 49.46/49.61 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H81 | zenon_intro zenon_Hdb ].
% 49.46/49.61 apply (zenon_L26_); trivial.
% 49.46/49.61 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H89 | zenon_intro zenon_Haf ].
% 49.46/49.61 apply (zenon_L28_); trivial.
% 49.46/49.61 apply (zenon_L745_); trivial.
% 49.46/49.61 (* end of lemma zenon_L747_ *)
% 49.46/49.61 assert (zenon_L748_ : (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e10) (e10)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((e10) = (e12))) -> ((op1 (e11) (e11)) = (e10)) -> ((h3 (e12)) = (e22)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e23) (e22)) = (e23)) -> (~((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> False).
% 49.46/49.61 do 0 intro. intros zenon_H160 zenon_H72 zenon_H23 zenon_H76 zenon_H60 zenon_H3b0 zenon_H19e zenon_H39d zenon_H229 zenon_H422 zenon_H8b zenon_H24 zenon_H82 zenon_H11e zenon_H117 zenon_H64 zenon_H99 zenon_H11d zenon_Hd9 zenon_H387 zenon_H37f zenon_Hea zenon_H1f zenon_H20 zenon_H185 zenon_Hfa zenon_H8c.
% 49.46/49.61 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H73 | zenon_intro zenon_H167 ].
% 49.46/49.61 apply (zenon_L23_); trivial.
% 49.46/49.61 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H75 | zenon_intro zenon_H168 ].
% 49.46/49.61 apply (zenon_L24_); trivial.
% 49.46/49.61 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H9a | zenon_intro zenon_Hde ].
% 49.46/49.61 apply (zenon_L747_); trivial.
% 49.46/49.61 apply (zenon_L569_); trivial.
% 49.46/49.61 (* end of lemma zenon_L748_ *)
% 49.46/49.61 assert (zenon_L749_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e12)) = (e12)) -> ((op1 (e12) (e11)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e11) (e13)) = (e12)) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e10)) = (e13)) -> ((op1 (e13) (e13)) = (e13)) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e10) (e10)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((e10) = (e12))) -> ((op1 (e11) (e11)) = (e10)) -> ((h3 (e12)) = (e22)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e23) (e22)) = (e23)) -> (~((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> False).
% 49.46/49.61 do 0 intro. intros zenon_H38e zenon_H13a zenon_H9b zenon_Hbe zenon_H6c zenon_Hde zenon_H57 zenon_H12b zenon_Hc7 zenon_H2c zenon_H12c zenon_H160 zenon_H72 zenon_H23 zenon_H76 zenon_H60 zenon_H3b0 zenon_H19e zenon_H39d zenon_H229 zenon_H422 zenon_H8b zenon_H24 zenon_H82 zenon_H11e zenon_H117 zenon_H64 zenon_H99 zenon_H11d zenon_Hd9 zenon_H387 zenon_H37f zenon_Hea zenon_H1f zenon_H20 zenon_H185 zenon_Hfa.
% 49.46/49.61 apply (zenon_or_s _ _ zenon_H38e); [ zenon_intro zenon_H177 | zenon_intro zenon_H38f ].
% 49.46/49.61 apply (zenon_L135_); trivial.
% 49.46/49.61 apply (zenon_or_s _ _ zenon_H38f); [ zenon_intro zenon_He6 | zenon_intro zenon_H390 ].
% 49.46/49.61 apply (zenon_L77_); trivial.
% 49.46/49.61 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H110 | zenon_intro zenon_H8c ].
% 49.46/49.61 apply (zenon_L560_); trivial.
% 49.46/49.61 apply (zenon_L748_); trivial.
% 49.46/49.61 (* end of lemma zenon_L749_ *)
% 49.46/49.61 assert (zenon_L750_ : (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e13)) = (e10)) -> ((op1 (e13) (e11)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e13)) = (e11)) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e12)) = (e12)) -> ((op1 (e12) (e11)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e11) (e13)) = (e12)) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e10)) = (e13)) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e10) (e10)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((e10) = (e12))) -> ((op1 (e11) (e11)) = (e10)) -> ((h3 (e12)) = (e22)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e23) (e22)) = (e23)) -> (~((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> False).
% 49.46/49.61 do 0 intro. intros zenon_H151 zenon_H146 zenon_H353 zenon_H33 zenon_H180 zenon_H35a zenon_Hdc zenon_H9e zenon_Hf3 zenon_H38e zenon_H13a zenon_H9b zenon_Hbe zenon_H6c zenon_Hde zenon_H57 zenon_H12b zenon_Hc7 zenon_H2c zenon_H160 zenon_H72 zenon_H23 zenon_H76 zenon_H60 zenon_H3b0 zenon_H19e zenon_H39d zenon_H229 zenon_H422 zenon_H8b zenon_H24 zenon_H82 zenon_H11e zenon_H117 zenon_H64 zenon_H99 zenon_H11d zenon_Hd9 zenon_H387 zenon_H37f zenon_Hea zenon_H1f zenon_H20 zenon_H185 zenon_Hfa.
% 49.46/49.61 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H8c | zenon_intro zenon_H152 ].
% 49.46/49.61 apply (zenon_L748_); trivial.
% 49.46/49.61 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H145 | zenon_intro zenon_H153 ].
% 49.46/49.61 apply (zenon_L93_); trivial.
% 49.46/49.61 apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_Hfb | zenon_intro zenon_H12c ].
% 49.46/49.61 apply (zenon_L588_); trivial.
% 49.46/49.61 apply (zenon_L749_); trivial.
% 49.46/49.61 (* end of lemma zenon_L750_ *)
% 49.46/49.61 assert (zenon_L751_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e13) (e13)) = (e11)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e12)) = (e12)) -> ((op1 (e12) (e11)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e11) (e13)) = (e12)) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e10)) = (e13)) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e10) (e10)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((e10) = (e12))) -> ((op1 (e11) (e11)) = (e10)) -> ((h3 (e12)) = (e22)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e23) (e22)) = (e23)) -> (~((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> False).
% 49.46/49.61 do 0 intro. intros zenon_H135 zenon_H3a zenon_Hf3 zenon_H9e zenon_H35a zenon_H180 zenon_H33 zenon_H353 zenon_H146 zenon_H151 zenon_H38e zenon_H13a zenon_H9b zenon_Hbe zenon_H6c zenon_Hde zenon_H57 zenon_H12b zenon_Hc7 zenon_H2c zenon_H160 zenon_H72 zenon_H23 zenon_H76 zenon_H60 zenon_H3b0 zenon_H19e zenon_H39d zenon_H229 zenon_H422 zenon_H8b zenon_H24 zenon_H82 zenon_H11e zenon_H117 zenon_H64 zenon_H99 zenon_H11d zenon_Hd9 zenon_H387 zenon_H37f zenon_Hea zenon_H1f zenon_H20 zenon_H185 zenon_Hfa.
% 49.46/49.61 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H39 | zenon_intro zenon_H136 ].
% 49.46/49.61 apply (zenon_L8_); trivial.
% 49.46/49.61 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hdc | zenon_intro zenon_H137 ].
% 49.46/49.61 apply (zenon_L750_); trivial.
% 49.46/49.61 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Haf | zenon_intro zenon_H12c ].
% 49.46/49.61 apply (zenon_L67_); trivial.
% 49.46/49.61 apply (zenon_L749_); trivial.
% 49.46/49.61 (* end of lemma zenon_L751_ *)
% 49.46/49.61 assert (zenon_L752_ : (~((e11) = (e12))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e12)) = (e12)) -> ((op1 (e12) (e11)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e11) (e13)) = (e12)) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e10)) = (e13)) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e10) (e10)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((e10) = (e12))) -> ((op1 (e11) (e11)) = (e10)) -> ((h3 (e12)) = (e22)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e23) (e22)) = (e23)) -> (~((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> False).
% 49.46/49.61 do 0 intro. intros zenon_H96 zenon_H154 zenon_H35d zenon_Hd6 zenon_H4f zenon_Hae zenon_H18e zenon_H15a zenon_Hfd zenon_H16c zenon_H18d zenon_He0 zenon_H108 zenon_H360 zenon_H155 zenon_H7b zenon_H126 zenon_H122 zenon_H63 zenon_H111 zenon_H10b zenon_H58 zenon_Hf7 zenon_H135 zenon_H3a zenon_H9e zenon_H35a zenon_H180 zenon_H33 zenon_H353 zenon_H146 zenon_H151 zenon_H38e zenon_H13a zenon_H9b zenon_Hbe zenon_H6c zenon_Hde zenon_H57 zenon_H12b zenon_Hc7 zenon_H2c zenon_H160 zenon_H72 zenon_H23 zenon_H76 zenon_H60 zenon_H3b0 zenon_H19e zenon_H39d zenon_H229 zenon_H422 zenon_H8b zenon_H24 zenon_H82 zenon_H11e zenon_H117 zenon_H64 zenon_H99 zenon_H11d zenon_Hd9 zenon_H387 zenon_H37f zenon_Hea zenon_H1f zenon_H20 zenon_H185 zenon_Hfa.
% 49.46/49.61 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H121 | zenon_intro zenon_H127 ].
% 49.46/49.61 apply (zenon_L70_); trivial.
% 49.46/49.61 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H94 | zenon_intro zenon_H128 ].
% 49.46/49.61 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He6 | zenon_intro zenon_Hf8 ].
% 49.46/49.61 apply (zenon_L503_); trivial.
% 49.46/49.61 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Hab | zenon_intro zenon_Hf9 ].
% 49.46/49.61 apply (zenon_L43_); trivial.
% 49.46/49.61 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_He9 | zenon_intro zenon_Hf3 ].
% 49.46/49.61 apply (zenon_L48_); trivial.
% 49.46/49.61 apply (zenon_L751_); trivial.
% 49.46/49.61 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H11b | zenon_intro zenon_Hf3 ].
% 49.46/49.61 apply (zenon_L66_); trivial.
% 49.46/49.61 apply (zenon_L751_); trivial.
% 49.46/49.61 (* end of lemma zenon_L752_ *)
% 49.46/49.61 assert (zenon_L753_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((e11) = (e13))) -> ((op1 (e10) (e11)) = (e11)) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((e12) = (e13))) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12))))) -> ((op2 (e23) (e22)) = (e23)) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> False).
% 49.46/49.61 do 0 intro. intros zenon_H113 zenon_H23 zenon_H58 zenon_H4e zenon_Hd9 zenon_H111 zenon_He4 zenon_H82 zenon_H1f zenon_H20 zenon_H24 zenon_H8b zenon_H422 zenon_H229 zenon_H39d zenon_H19e zenon_H3b0.
% 49.46/49.61 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H25 | zenon_intro zenon_H114 ].
% 49.46/49.61 apply (zenon_L4_); trivial.
% 49.46/49.61 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H54 | zenon_intro zenon_H115 ].
% 49.46/49.61 apply (zenon_L113_); trivial.
% 49.46/49.61 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H57 | zenon_intro zenon_H8c ].
% 49.46/49.61 apply (zenon_L69_); trivial.
% 49.46/49.61 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H57 | zenon_intro zenon_Hda ].
% 49.46/49.61 apply (zenon_L69_); trivial.
% 49.46/49.61 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H81 | zenon_intro zenon_Hdb ].
% 49.46/49.61 apply (zenon_L26_); trivial.
% 49.46/49.61 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H89 | zenon_intro zenon_Haf ].
% 49.46/49.61 apply (zenon_L28_); trivial.
% 49.46/49.61 apply (zenon_L745_); trivial.
% 49.46/49.61 (* end of lemma zenon_L753_ *)
% 49.46/49.61 assert (zenon_L754_ : (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e11)) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((e10) = (e13))) -> ((op1 (e13) (e11)) = (e10)) -> ((h3 (e12)) = (e22)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e23) (e22)) = (e23)) -> (~((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> False).
% 49.46/49.61 do 0 intro. intros zenon_H10b zenon_H111 zenon_H11d zenon_H99 zenon_H64 zenon_H11e zenon_H57 zenon_H63 zenon_H135 zenon_H3a zenon_H2d zenon_H18b zenon_H3b0 zenon_H19e zenon_H39d zenon_H229 zenon_H422 zenon_H38e zenon_H8b zenon_H12b zenon_Hc7 zenon_H20 zenon_H2c zenon_Hfa zenon_Hea zenon_H37f zenon_H387 zenon_H9e zenon_He7 zenon_H13a zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_H117.
% 49.46/49.61 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_He4 | zenon_intro zenon_H10c ].
% 49.46/49.61 apply (zenon_L69_); trivial.
% 49.46/49.61 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H9a | zenon_intro zenon_H10d ].
% 49.46/49.61 apply (zenon_L68_); trivial.
% 49.46/49.61 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H101 | zenon_intro zenon_H9b ].
% 49.46/49.61 apply (zenon_L57_); trivial.
% 49.46/49.61 apply (zenon_L746_); trivial.
% 49.46/49.61 (* end of lemma zenon_L754_ *)
% 49.46/49.61 assert (zenon_L755_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((e10) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e11) (e11)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((h3 (e12)) = (e22)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e23) (e22)) = (e23)) -> (~((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> False).
% 49.46/49.61 do 0 intro. intros zenon_H35d zenon_H377 zenon_H18 zenon_H2d zenon_H117 zenon_H135 zenon_H3a zenon_H11d zenon_H57 zenon_H353 zenon_H60 zenon_H33 zenon_H180 zenon_H146 zenon_H111 zenon_H151 zenon_H3b0 zenon_H19e zenon_H39d zenon_H229 zenon_H422 zenon_H387 zenon_H37f zenon_Hea zenon_H110 zenon_Hfa zenon_H24 zenon_H2c zenon_H20 zenon_H1f zenon_Hc7.
% 49.46/49.61 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_H91 | zenon_intro zenon_H35e ].
% 49.46/49.61 apply (zenon_L552_); trivial.
% 49.46/49.61 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H18b | zenon_intro zenon_H35f ].
% 49.46/49.61 apply (zenon_L561_); trivial.
% 49.46/49.61 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H116 | zenon_intro zenon_H35a ].
% 49.46/49.61 apply (zenon_L65_); trivial.
% 49.46/49.61 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H39 | zenon_intro zenon_H136 ].
% 49.46/49.61 apply (zenon_L8_); trivial.
% 49.46/49.61 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hdc | zenon_intro zenon_H137 ].
% 49.46/49.61 apply (zenon_L563_); trivial.
% 49.46/49.61 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Haf | zenon_intro zenon_H12c ].
% 49.46/49.61 apply (zenon_L745_); trivial.
% 49.46/49.61 apply (zenon_L560_); trivial.
% 49.46/49.61 (* end of lemma zenon_L755_ *)
% 49.46/49.61 assert (zenon_L756_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((e10) = (e12))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (e12)) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((e10) = (e11))) -> ((op1 (e10) (e11)) = (e11)) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((h3 (e12)) = (e22)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e23) (e22)) = (e23)) -> (~((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False).
% 49.46/49.61 do 0 intro. intros zenon_H40 zenon_H23 zenon_Hc7 zenon_Hfa zenon_H110 zenon_Hea zenon_H37f zenon_H387 zenon_H11d zenon_H57 zenon_H2d zenon_H135 zenon_H187 zenon_H15f zenon_H76 zenon_H11e zenon_H117 zenon_H99 zenon_H92 zenon_H160 zenon_H4f zenon_H4e zenon_H190 zenon_He0 zenon_H35d zenon_H377 zenon_H18 zenon_H353 zenon_H180 zenon_H146 zenon_H111 zenon_H151 zenon_H3b0 zenon_H19e zenon_H39d zenon_H229 zenon_H422 zenon_H161 zenon_H33 zenon_H24 zenon_H1f zenon_H20 zenon_H3a.
% 49.46/49.61 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H25 | zenon_intro zenon_H41 ].
% 49.46/49.61 apply (zenon_L4_); trivial.
% 49.46/49.61 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H2c | zenon_intro zenon_H42 ].
% 49.46/49.61 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H2b | zenon_intro zenon_H163 ].
% 49.46/49.61 apply (zenon_L6_); trivial.
% 49.46/49.61 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H60 | zenon_intro zenon_H164 ].
% 49.46/49.61 apply (zenon_L755_); trivial.
% 49.46/49.61 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_He1 | zenon_intro zenon_He7 ].
% 49.46/49.61 apply (zenon_L44_); trivial.
% 49.46/49.61 apply (zenon_L599_); trivial.
% 49.46/49.61 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H39 ].
% 49.46/49.61 apply (zenon_L7_); trivial.
% 49.46/49.61 apply (zenon_L8_); trivial.
% 49.46/49.61 (* end of lemma zenon_L756_ *)
% 49.46/49.61 assert (zenon_L757_ : (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((h3 (e12)) = (e22)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e23) (e22)) = (e23)) -> (~((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> ((op1 (e12) (e10)) = (e11)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((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) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (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 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e11))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> ((op1 (e13) (e11)) = (e10)) -> (~((e10) = (e13))) -> False).
% 49.46/49.61 do 0 intro. intros zenon_H3a zenon_H20 zenon_H1f zenon_H24 zenon_H13a zenon_H122 zenon_H180 zenon_H365 zenon_H135 zenon_H3b0 zenon_H19e zenon_H39d zenon_H229 zenon_H422 zenon_H38e zenon_H8b zenon_H12b zenon_Hc7 zenon_H2c zenon_Hfa zenon_Hea zenon_H37f zenon_H387 zenon_H9e zenon_He7 zenon_H6c zenon_H117 zenon_H377 zenon_H18 zenon_H36b zenon_H161 zenon_H353 zenon_H35d zenon_H4e zenon_H368 zenon_H16a zenon_H178 zenon_H40 zenon_H43 zenon_H16b zenon_H4a zenon_H111 zenon_H160 zenon_H182 zenon_H154 zenon_H7b zenon_H10b zenon_H142 zenon_H11e zenon_H11d zenon_H15e zenon_H58 zenon_H190 zenon_H17a zenon_H82 zenon_Hd6 zenon_H76 zenon_H96 zenon_H99 zenon_H18e zenon_Hae zenon_H63 zenon_He0 zenon_H108 zenon_H185 zenon_Hd9 zenon_H151 zenon_H146 zenon_H15a zenon_H18d zenon_H33 zenon_Hfd zenon_H67 zenon_H16c zenon_H15f zenon_H187 zenon_H23 zenon_H113 zenon_H4f zenon_H57 zenon_H13f zenon_H155 zenon_H18b zenon_H2d.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ].
% 49.46/49.62 apply (zenon_L113_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ].
% 49.46/49.62 apply (zenon_L25_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ].
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H56 | zenon_intro zenon_H158 ].
% 49.46/49.62 apply (zenon_L17_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H64 | zenon_intro zenon_H159 ].
% 49.46/49.62 apply (zenon_L754_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H13d | zenon_intro zenon_H11b ].
% 49.46/49.62 apply (zenon_L88_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H92 | zenon_intro zenon_Hd7 ].
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H36b); [ zenon_intro zenon_H110 | zenon_intro zenon_H36c ].
% 49.46/49.62 apply (zenon_L756_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_Hde | zenon_intro zenon_H36d ].
% 49.46/49.62 apply (zenon_L505_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H36d); [ zenon_intro zenon_H369 | zenon_intro zenon_Hc8 ].
% 49.46/49.62 apply (zenon_L602_); trivial.
% 49.46/49.62 apply (zenon_L571_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H95 | zenon_intro zenon_Hd8 ].
% 49.46/49.62 apply (zenon_L604_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hc8 ].
% 49.46/49.62 apply (zenon_L746_); trivial.
% 49.46/49.62 apply (zenon_L508_); trivial.
% 49.46/49.62 apply (zenon_L504_); trivial.
% 49.46/49.62 (* end of lemma zenon_L757_ *)
% 49.46/49.62 assert (zenon_L758_ : (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e12) = (e13))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12))))) -> ((op2 (e23) (e22)) = (e23)) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False).
% 49.46/49.62 do 0 intro. intros zenon_H82 zenon_H99 zenon_H63 zenon_H56 zenon_He0 zenon_H108 zenon_Hfd zenon_H54 zenon_H18d zenon_H15a zenon_H2d zenon_H135 zenon_Hd9 zenon_H185 zenon_H4f zenon_H368 zenon_H12b zenon_H11d zenon_H113 zenon_H161 zenon_H15f zenon_H190 zenon_H18e zenon_H353 zenon_H117 zenon_Hd6 zenon_H76 zenon_H362 zenon_Hc7 zenon_H35d zenon_H146 zenon_H8b zenon_H151 zenon_H6c zenon_H16c zenon_H187 zenon_H155 zenon_H96 zenon_H9e zenon_H126 zenon_H360 zenon_H23 zenon_H40 zenon_H111 zenon_H58 zenon_H173 zenon_H36e zenon_H36b zenon_H142 zenon_H10b zenon_H365 zenon_H180 zenon_H122 zenon_H13a zenon_Hf7 zenon_Hea zenon_Hae zenon_H422 zenon_H229 zenon_H39d zenon_H19e zenon_H3b0 zenon_H33 zenon_H24 zenon_H1f zenon_H20 zenon_H3a.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H25 | zenon_intro zenon_H41 ].
% 49.46/49.62 apply (zenon_L4_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H2c | zenon_intro zenon_H42 ].
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H2b | zenon_intro zenon_H163 ].
% 49.46/49.62 apply (zenon_L6_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H60 | zenon_intro zenon_H164 ].
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H4e | zenon_intro zenon_H171 ].
% 49.46/49.62 apply (zenon_L113_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H61 | zenon_intro zenon_H172 ].
% 49.46/49.62 apply (zenon_L19_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H6b | zenon_intro zenon_H94 ].
% 49.46/49.62 apply (zenon_L22_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hfe ].
% 49.46/49.62 apply (zenon_L7_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hff ].
% 49.46/49.62 apply (zenon_L144_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H89 | zenon_intro zenon_Hfb ].
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H39 | zenon_intro zenon_H136 ].
% 49.46/49.62 apply (zenon_L8_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hdc | zenon_intro zenon_H137 ].
% 49.46/49.62 apply (zenon_L42_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Haf | zenon_intro zenon_H12c ].
% 49.46/49.62 apply (zenon_L745_); trivial.
% 49.46/49.62 apply (zenon_L104_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H57 | zenon_intro zenon_Hda ].
% 49.46/49.62 apply (zenon_L17_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H81 | zenon_intro zenon_Hdb ].
% 49.46/49.62 apply (zenon_L26_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H89 | zenon_intro zenon_Haf ].
% 49.46/49.62 apply (zenon_L132_); trivial.
% 49.46/49.62 apply (zenon_L745_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_He1 | zenon_intro zenon_He7 ].
% 49.46/49.62 apply (zenon_L44_); trivial.
% 49.46/49.62 apply (zenon_L664_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H39 ].
% 49.46/49.62 apply (zenon_L7_); trivial.
% 49.46/49.62 apply (zenon_L8_); trivial.
% 49.46/49.62 (* end of lemma zenon_L758_ *)
% 49.46/49.62 assert (zenon_L759_ : (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((e11) = (e13))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((op1 (e10) (e13)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12))))) -> ((op2 (e23) (e22)) = (e23)) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> False).
% 49.46/49.62 do 0 intro. intros zenon_Hd9 zenon_H58 zenon_H56 zenon_H82 zenon_H1f zenon_H20 zenon_H8c zenon_H24 zenon_H8b zenon_H422 zenon_H229 zenon_H39d zenon_H19e zenon_H3b0.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H57 | zenon_intro zenon_Hda ].
% 49.46/49.62 apply (zenon_L17_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H81 | zenon_intro zenon_Hdb ].
% 49.46/49.62 apply (zenon_L26_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H89 | zenon_intro zenon_Haf ].
% 49.46/49.62 apply (zenon_L28_); trivial.
% 49.46/49.62 apply (zenon_L745_); trivial.
% 49.46/49.62 (* end of lemma zenon_L759_ *)
% 49.46/49.62 assert (zenon_L760_ : (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e11) = (e12))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((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 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((e11) = (e13))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12))))) -> ((op2 (e23) (e22)) = (e23)) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> False).
% 49.46/49.62 do 0 intro. intros zenon_H3a zenon_H33 zenon_Hae zenon_Hea zenon_Hf7 zenon_H13a zenon_H122 zenon_H180 zenon_H365 zenon_H10b zenon_H142 zenon_H36b zenon_H36e zenon_H173 zenon_H111 zenon_H40 zenon_H23 zenon_H360 zenon_H126 zenon_H9e zenon_H96 zenon_H155 zenon_H187 zenon_H16c zenon_H6c zenon_H151 zenon_H146 zenon_H35d zenon_Hc7 zenon_H362 zenon_H76 zenon_Hd6 zenon_H117 zenon_H353 zenon_H18e zenon_H190 zenon_H15f zenon_H161 zenon_H113 zenon_H11d zenon_H12b zenon_H368 zenon_H4f zenon_H185 zenon_H135 zenon_H2d zenon_H15a zenon_H18d zenon_Hfd zenon_H108 zenon_He0 zenon_H63 zenon_H99 zenon_Hd9 zenon_H58 zenon_H56 zenon_H82 zenon_H1f zenon_H20 zenon_H24 zenon_H8b zenon_H422 zenon_H229 zenon_H39d zenon_H19e zenon_H3b0.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H25 | zenon_intro zenon_H114 ].
% 49.46/49.62 apply (zenon_L4_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H54 | zenon_intro zenon_H115 ].
% 49.46/49.62 apply (zenon_L758_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H57 | zenon_intro zenon_H8c ].
% 49.46/49.62 apply (zenon_L17_); trivial.
% 49.46/49.62 apply (zenon_L759_); trivial.
% 49.46/49.62 (* end of lemma zenon_L760_ *)
% 49.46/49.62 assert (zenon_L761_ : (~((e11) = (e13))) -> (~((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 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> ((h3 (e12)) = (e22)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e23) (e22)) = (e23)) -> (~((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12))))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e13)) = (e11)) -> (~((e11) = (e12))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (e11)) = (e10)) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e12) = (e13))) -> ((op1 (e13) (e11)) = (e13)) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> False).
% 49.46/49.62 do 0 intro. intros zenon_H58 zenon_H63 zenon_H108 zenon_H18d zenon_H15a zenon_H135 zenon_H185 zenon_H4f zenon_H12b zenon_H113 zenon_H161 zenon_H15f zenon_H190 zenon_H18e zenon_H362 zenon_H16c zenon_H187 zenon_H155 zenon_H126 zenon_H360 zenon_H23 zenon_H40 zenon_H173 zenon_H36e zenon_H142 zenon_H10b zenon_Hf7 zenon_Hae zenon_H11e zenon_H13f zenon_Hfd zenon_H3b0 zenon_H19e zenon_H39d zenon_H229 zenon_H422 zenon_H1f zenon_H82 zenon_Hd6 zenon_H9e zenon_He0 zenon_H6c zenon_H368 zenon_Hab zenon_H96 zenon_H35d zenon_H76 zenon_H2d zenon_H117 zenon_H151 zenon_H146 zenon_H180 zenon_H33 zenon_H60 zenon_H353 zenon_H11d zenon_H387 zenon_H37f zenon_Hea zenon_H2c zenon_Hc7 zenon_H36b zenon_H111 zenon_Hdc zenon_H9a zenon_H99 zenon_H365 zenon_H377 zenon_H18 zenon_H122 zenon_H13a zenon_H3a zenon_Hd9 zenon_H20 zenon_H24 zenon_H8b zenon_Hfa zenon_H8c.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H56 | zenon_intro zenon_H158 ].
% 49.46/49.62 apply (zenon_L760_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H64 | zenon_intro zenon_H159 ].
% 49.46/49.62 apply (zenon_L747_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H13d | zenon_intro zenon_H11b ].
% 49.46/49.62 apply (zenon_L636_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hfe ].
% 49.46/49.62 apply (zenon_L7_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hff ].
% 49.46/49.62 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H57 | zenon_intro zenon_Hda ].
% 49.46/49.62 apply (zenon_L639_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H81 | zenon_intro zenon_Hdb ].
% 49.46/49.62 apply (zenon_L26_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H89 | zenon_intro zenon_Haf ].
% 49.46/49.62 apply (zenon_L28_); trivial.
% 49.46/49.62 apply (zenon_L745_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H89 | zenon_intro zenon_Hfb ].
% 49.46/49.62 apply (zenon_L28_); trivial.
% 49.46/49.62 apply (zenon_L54_); trivial.
% 49.46/49.62 (* end of lemma zenon_L761_ *)
% 49.46/49.62 assert (zenon_L762_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e13) (e13)) = (e10)) -> ((op1 (e10) (e12)) = (e13)) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e10) (e10)) = (e12)) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (e12) (e13)) = (e12)) -> (~((e11) = (e13))) -> (~((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 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> ((h3 (e12)) = (e22)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e23) (e22)) = (e23)) -> (~((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12))))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e13)) = (e11)) -> (~((e11) = (e12))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (e11)) = (e10)) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e12) = (e13))) -> ((op1 (e13) (e11)) = (e13)) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> False).
% 49.46/49.62 do 0 intro. intros zenon_H38e zenon_H35a zenon_H57 zenon_H154 zenon_H7b zenon_H72 zenon_H160 zenon_H19 zenon_H369 zenon_H58 zenon_H63 zenon_H108 zenon_H18d zenon_H15a zenon_H135 zenon_H185 zenon_H4f zenon_H12b zenon_H113 zenon_H161 zenon_H15f zenon_H190 zenon_H18e zenon_H362 zenon_H16c zenon_H187 zenon_H155 zenon_H126 zenon_H360 zenon_H23 zenon_H40 zenon_H173 zenon_H36e zenon_H142 zenon_H10b zenon_Hf7 zenon_Hae zenon_H11e zenon_H13f zenon_Hfd zenon_H3b0 zenon_H19e zenon_H39d zenon_H229 zenon_H422 zenon_H1f zenon_H82 zenon_Hd6 zenon_H9e zenon_He0 zenon_H6c zenon_H368 zenon_Hab zenon_H96 zenon_H35d zenon_H76 zenon_H2d zenon_H117 zenon_H151 zenon_H146 zenon_H180 zenon_H33 zenon_H60 zenon_H353 zenon_H11d zenon_H387 zenon_H37f zenon_Hea zenon_H2c zenon_Hc7 zenon_H36b zenon_H111 zenon_Hdc zenon_H9a zenon_H99 zenon_H365 zenon_H377 zenon_H18 zenon_H122 zenon_H13a zenon_H3a zenon_Hd9 zenon_H20 zenon_H24 zenon_H8b zenon_Hfa.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H38e); [ zenon_intro zenon_H177 | zenon_intro zenon_H38f ].
% 49.46/49.62 apply (zenon_L587_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H38f); [ zenon_intro zenon_He6 | zenon_intro zenon_H390 ].
% 49.46/49.62 apply (zenon_L541_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H110 | zenon_intro zenon_H8c ].
% 49.46/49.62 apply (zenon_L558_); trivial.
% 49.46/49.62 apply (zenon_L761_); trivial.
% 49.46/49.62 (* end of lemma zenon_L762_ *)
% 49.46/49.62 assert (zenon_L763_ : (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e11) (e13)) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (e13) (e13)) = (e10)) -> ((h3 (e12)) = (e22)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e23) (e22)) = (e23)) -> (~((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (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) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e10) (e10)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e11) (e11)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e10)) = (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)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((e11) = (e13))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e11)) = (e13)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e12)) = (e11)) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False).
% 49.46/49.62 do 0 intro. intros zenon_H36b zenon_Hab zenon_H13f zenon_Hf7 zenon_H36e zenon_H173 zenon_H362 zenon_H161 zenon_H19 zenon_H35a zenon_H3b0 zenon_H19e zenon_H39d zenon_H229 zenon_H422 zenon_H38e zenon_H113 zenon_H187 zenon_H67 zenon_H17a zenon_H190 zenon_H2d zenon_H15e zenon_H142 zenon_H182 zenon_H4a zenon_H16b zenon_H43 zenon_H40 zenon_H178 zenon_H16a zenon_H8b zenon_H160 zenon_H72 zenon_H23 zenon_H154 zenon_H35d zenon_H96 zenon_H76 zenon_Hd6 zenon_H4f zenon_Hae zenon_H353 zenon_H60 zenon_H33 zenon_H18e zenon_H146 zenon_H151 zenon_H15a zenon_Hfd zenon_H16c zenon_H18d zenon_Hd9 zenon_H185 zenon_H82 zenon_H108 zenon_H360 zenon_H155 zenon_H7b zenon_H117 zenon_H57 zenon_H11d zenon_H12b zenon_H126 zenon_H135 zenon_H63 zenon_H11e zenon_H111 zenon_H10b zenon_H58 zenon_H15f zenon_Hc7 zenon_H2c zenon_Hfa zenon_Hea zenon_H37f zenon_H387 zenon_H9e zenon_He0 zenon_H6c zenon_Hbe zenon_H368 zenon_H11b zenon_H4e zenon_H180 zenon_H9a zenon_H99 zenon_H365 zenon_H377 zenon_H18 zenon_H122 zenon_H13a zenon_H24 zenon_H1f zenon_H20 zenon_H3a.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H92 | zenon_intro zenon_Hd7 ].
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H36b); [ zenon_intro zenon_H110 | zenon_intro zenon_H36c ].
% 49.46/49.62 apply (zenon_L756_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_Hde | zenon_intro zenon_H36d ].
% 49.46/49.62 apply (zenon_L43_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H36d); [ zenon_intro zenon_H369 | zenon_intro zenon_Hc8 ].
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H39 | zenon_intro zenon_H136 ].
% 49.46/49.62 apply (zenon_L8_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hdc | zenon_intro zenon_H137 ].
% 49.46/49.62 apply (zenon_L762_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Haf | zenon_intro zenon_H12c ].
% 49.46/49.62 apply (zenon_L745_); trivial.
% 49.46/49.62 apply (zenon_L611_); trivial.
% 49.46/49.62 apply (zenon_L571_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H95 | zenon_intro zenon_Hd8 ].
% 49.46/49.62 apply (zenon_L604_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hc8 ].
% 49.46/49.62 apply (zenon_L31_); trivial.
% 49.46/49.62 apply (zenon_L571_); trivial.
% 49.46/49.62 (* end of lemma zenon_L763_ *)
% 49.46/49.62 assert (zenon_L764_ : ((op1 (e10) (e11)) = (e11)) -> ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> ((op1 (e13) (e11)) = (e13)) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e11) (e11)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((e10) = (e13))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e11) = (e12))) -> ((op1 (e11) (e13)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12))))) -> ((op2 (e23) (e22)) = (e23)) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((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 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e10) (e10)) = (e12)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e10) (e12)) = (e13)) -> ((op1 (e13) (e13)) = (e10)) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False).
% 49.46/49.62 do 0 intro. intros zenon_H4e zenon_H92 zenon_Hfa zenon_H8b zenon_Hd9 zenon_H99 zenon_H9a zenon_Hdc zenon_H111 zenon_H36b zenon_Hc7 zenon_H2c zenon_Hea zenon_H37f zenon_H387 zenon_H11d zenon_H353 zenon_H60 zenon_H33 zenon_H180 zenon_H146 zenon_H151 zenon_H117 zenon_H2d zenon_H76 zenon_H35d zenon_H96 zenon_Hab zenon_H368 zenon_H6c zenon_He0 zenon_H9e zenon_Hd6 zenon_H82 zenon_H422 zenon_H229 zenon_H39d zenon_H19e zenon_H3b0 zenon_Hfd zenon_H13f zenon_H11e zenon_Hae zenon_Hf7 zenon_H10b zenon_H142 zenon_H36e zenon_H173 zenon_H40 zenon_H23 zenon_H360 zenon_H126 zenon_H155 zenon_H187 zenon_H16c zenon_H362 zenon_H18e zenon_H190 zenon_H15f zenon_H161 zenon_H113 zenon_H12b zenon_H4f zenon_H185 zenon_H135 zenon_H15a zenon_H18d zenon_H108 zenon_H63 zenon_H58 zenon_H19 zenon_H160 zenon_H72 zenon_H7b zenon_H154 zenon_H57 zenon_H35a zenon_H38e zenon_H365 zenon_H377 zenon_H18 zenon_H122 zenon_H13a zenon_H24 zenon_H1f zenon_H20 zenon_H3a.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H36b); [ zenon_intro zenon_H110 | zenon_intro zenon_H36c ].
% 49.46/49.62 apply (zenon_L756_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_Hde | zenon_intro zenon_H36d ].
% 49.46/49.62 apply (zenon_L43_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H36d); [ zenon_intro zenon_H369 | zenon_intro zenon_Hc8 ].
% 49.46/49.62 apply (zenon_L762_); trivial.
% 49.46/49.62 apply (zenon_L571_); trivial.
% 49.46/49.62 (* end of lemma zenon_L764_ *)
% 49.46/49.62 assert (zenon_L765_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((h3 (e12)) = (e22)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e23) (e22)) = (e23)) -> (~((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (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 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((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) (e10)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (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 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e11))) -> False).
% 49.46/49.62 do 0 intro. intros zenon_H3a9 zenon_H365 zenon_H36e zenon_H368 zenon_H36b zenon_H360 zenon_H35d zenon_H362 zenon_H371 zenon_H3b0 zenon_H19e zenon_H39d zenon_H229 zenon_H422 zenon_H37f zenon_H387 zenon_H377 zenon_H37b zenon_H396 zenon_H391 zenon_H38e zenon_H161 zenon_H13f zenon_H126 zenon_H122 zenon_H155 zenon_H9e zenon_Hfa zenon_Hf7 zenon_H19 zenon_H173 zenon_H16a zenon_H178 zenon_H40 zenon_H43 zenon_H16b zenon_H4a zenon_H111 zenon_H160 zenon_H182 zenon_H8b zenon_H12b zenon_H154 zenon_H7b zenon_H10b zenon_H142 zenon_H11e zenon_H3a zenon_H135 zenon_H13a zenon_H11d zenon_H117 zenon_H15e zenon_H2d zenon_H58 zenon_H190 zenon_H17a zenon_H82 zenon_H20 zenon_H24 zenon_Hd6 zenon_H76 zenon_H96 zenon_H99 zenon_H18e zenon_Hae zenon_Hea zenon_Hc7 zenon_H63 zenon_He0 zenon_H108 zenon_H185 zenon_Hd9 zenon_H151 zenon_H146 zenon_H15a zenon_H18d zenon_H33 zenon_Hfd zenon_H6c zenon_H67 zenon_H16c zenon_H15f zenon_H1f zenon_H187 zenon_H180 zenon_H23 zenon_H113 zenon_H4f.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H3a9); [ zenon_intro zenon_H18 | zenon_intro zenon_H3aa ].
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H4b | zenon_intro zenon_H16f ].
% 49.46/49.62 apply (zenon_L13_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H4e | zenon_intro zenon_H170 ].
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H371); [ zenon_intro zenon_H4b | zenon_intro zenon_H372 ].
% 49.46/49.62 apply (zenon_L13_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H5b | zenon_intro zenon_H373 ].
% 49.46/49.62 apply (zenon_L18_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H373); [ zenon_intro zenon_H353 | zenon_intro zenon_H121 ].
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H72 | zenon_intro zenon_H162 ].
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H25 | zenon_intro zenon_H114 ].
% 49.46/49.62 apply (zenon_L4_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H54 | zenon_intro zenon_H115 ].
% 49.46/49.62 apply (zenon_L113_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H57 | zenon_intro zenon_H8c ].
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H25 | zenon_intro zenon_H41 ].
% 49.46/49.62 apply (zenon_L4_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H2c | zenon_intro zenon_H42 ].
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H2b | zenon_intro zenon_H163 ].
% 49.46/49.62 apply (zenon_L6_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H60 | zenon_intro zenon_H164 ].
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H5b | zenon_intro zenon_H165 ].
% 49.46/49.62 apply (zenon_L18_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H61 | zenon_intro zenon_H166 ].
% 49.46/49.62 apply (zenon_L19_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H64 | zenon_intro zenon_Hab ].
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H73 | zenon_intro zenon_H167 ].
% 49.46/49.62 apply (zenon_L23_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H75 | zenon_intro zenon_H168 ].
% 49.46/49.62 apply (zenon_L24_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H9a | zenon_intro zenon_Hde ].
% 49.46/49.62 apply (zenon_L68_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ].
% 49.46/49.62 apply (zenon_L113_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ].
% 49.46/49.62 apply (zenon_L25_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ].
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_He4 | zenon_intro zenon_H10c ].
% 49.46/49.62 apply (zenon_L69_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H9a | zenon_intro zenon_H10d ].
% 49.46/49.62 apply (zenon_L68_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H101 | zenon_intro zenon_H9b ].
% 49.46/49.62 apply (zenon_L57_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_H91 | zenon_intro zenon_H35e ].
% 49.46/49.62 apply (zenon_L552_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H18b | zenon_intro zenon_H35f ].
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H391); [ zenon_intro zenon_H177 | zenon_intro zenon_H392 ].
% 49.46/49.62 apply (zenon_L153_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H392); [ zenon_intro zenon_He7 | zenon_intro zenon_H393 ].
% 49.46/49.62 apply (zenon_L746_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H393); [ zenon_intro zenon_H37e | zenon_intro zenon_H35a ].
% 49.46/49.62 apply (zenon_L557_); trivial.
% 49.46/49.62 apply (zenon_L752_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H116 | zenon_intro zenon_H35a ].
% 49.46/49.62 apply (zenon_L65_); trivial.
% 49.46/49.62 apply (zenon_L752_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_He4 | zenon_intro zenon_H10c ].
% 49.46/49.62 apply (zenon_L753_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H9a | zenon_intro zenon_H10d ].
% 49.46/49.62 apply (zenon_L68_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H101 | zenon_intro zenon_H9b ].
% 49.46/49.62 apply (zenon_L57_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hfe ].
% 49.46/49.62 apply (zenon_L7_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hff ].
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_H91 | zenon_intro zenon_H35e ].
% 49.46/49.62 apply (zenon_L552_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H18b | zenon_intro zenon_H35f ].
% 49.46/49.62 apply (zenon_L504_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H116 | zenon_intro zenon_H35a ].
% 49.46/49.62 apply (zenon_L65_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H121 | zenon_intro zenon_H127 ].
% 49.46/49.62 apply (zenon_L70_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H94 | zenon_intro zenon_H128 ].
% 49.46/49.62 apply (zenon_L42_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H11b | zenon_intro zenon_Hf3 ].
% 49.46/49.62 apply (zenon_L66_); trivial.
% 49.46/49.62 apply (zenon_L750_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H89 | zenon_intro zenon_Hfb ].
% 49.46/49.62 apply (zenon_L595_); trivial.
% 49.46/49.62 apply (zenon_L596_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H73 | zenon_intro zenon_H167 ].
% 49.46/49.62 apply (zenon_L23_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H75 | zenon_intro zenon_H168 ].
% 49.46/49.62 apply (zenon_L24_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H9a | zenon_intro zenon_Hde ].
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ].
% 49.46/49.62 apply (zenon_L113_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ].
% 49.46/49.62 apply (zenon_L25_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ].
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H56 | zenon_intro zenon_H158 ].
% 49.46/49.62 apply (zenon_L21_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H64 | zenon_intro zenon_H159 ].
% 49.46/49.62 apply (zenon_L68_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H13d | zenon_intro zenon_H11b ].
% 49.46/49.62 apply (zenon_L88_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_H91 | zenon_intro zenon_H35e ].
% 49.46/49.62 apply (zenon_L552_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H18b | zenon_intro zenon_H35f ].
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H391); [ zenon_intro zenon_H177 | zenon_intro zenon_H392 ].
% 49.46/49.62 apply (zenon_L112_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H392); [ zenon_intro zenon_He7 | zenon_intro zenon_H393 ].
% 49.46/49.62 apply (zenon_L757_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H393); [ zenon_intro zenon_H37e | zenon_intro zenon_H35a ].
% 49.46/49.62 apply (zenon_L557_); trivial.
% 49.46/49.62 apply (zenon_L763_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H116 | zenon_intro zenon_H35a ].
% 49.46/49.62 apply (zenon_L65_); trivial.
% 49.46/49.62 apply (zenon_L763_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_H91 | zenon_intro zenon_H35e ].
% 49.46/49.62 apply (zenon_L552_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H18b | zenon_intro zenon_H35f ].
% 49.46/49.62 apply (zenon_L504_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H116 | zenon_intro zenon_H35a ].
% 49.46/49.62 apply (zenon_L65_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H92 | zenon_intro zenon_Hd7 ].
% 49.46/49.62 apply (zenon_L764_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H95 | zenon_intro zenon_Hd8 ].
% 49.46/49.62 apply (zenon_L89_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hc8 ].
% 49.46/49.62 apply (zenon_L31_); trivial.
% 49.46/49.62 apply (zenon_L571_); trivial.
% 49.46/49.62 apply (zenon_L43_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_He1 | zenon_intro zenon_He7 ].
% 49.46/49.62 apply (zenon_L44_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H17 | zenon_intro zenon_H191 ].
% 49.46/49.62 apply (zenon_L2_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H60 | zenon_intro zenon_H192 ].
% 49.46/49.62 apply (zenon_L620_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H188 | zenon_intro zenon_H18b ].
% 49.46/49.62 apply (zenon_L140_); trivial.
% 49.46/49.62 apply (zenon_L757_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H39 ].
% 49.46/49.62 apply (zenon_L7_); trivial.
% 49.46/49.62 apply (zenon_L8_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H25 | zenon_intro zenon_H41 ].
% 49.46/49.62 apply (zenon_L4_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H2c | zenon_intro zenon_H42 ].
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H2b | zenon_intro zenon_H163 ].
% 49.46/49.62 apply (zenon_L6_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H60 | zenon_intro zenon_H164 ].
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H5b | zenon_intro zenon_H165 ].
% 49.46/49.62 apply (zenon_L18_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H61 | zenon_intro zenon_H166 ].
% 49.46/49.62 apply (zenon_L19_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H64 | zenon_intro zenon_Hab ].
% 49.46/49.62 apply (zenon_L748_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H73 | zenon_intro zenon_H167 ].
% 49.46/49.62 apply (zenon_L23_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H75 | zenon_intro zenon_H168 ].
% 49.46/49.62 apply (zenon_L24_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H9a | zenon_intro zenon_Hde ].
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ].
% 49.46/49.62 apply (zenon_L574_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ].
% 49.46/49.62 apply (zenon_L25_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ].
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H56 | zenon_intro zenon_H158 ].
% 49.46/49.62 apply (zenon_L21_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H64 | zenon_intro zenon_H159 ].
% 49.46/49.62 apply (zenon_L747_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H13d | zenon_intro zenon_H11b ].
% 49.46/49.62 apply (zenon_L88_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H57 | zenon_intro zenon_Hda ].
% 49.46/49.62 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H92 | zenon_intro zenon_Hd7 ].
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H36b); [ zenon_intro zenon_H110 | zenon_intro zenon_H36c ].
% 49.46/49.62 apply (zenon_L756_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_Hde | zenon_intro zenon_H36d ].
% 49.46/49.62 apply (zenon_L43_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H36d); [ zenon_intro zenon_H369 | zenon_intro zenon_Hc8 ].
% 49.46/49.62 apply (zenon_L608_); trivial.
% 49.46/49.62 apply (zenon_L507_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H95 | zenon_intro zenon_Hd8 ].
% 49.46/49.62 apply (zenon_L604_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hc8 ].
% 49.46/49.62 apply (zenon_L31_); trivial.
% 49.46/49.62 apply (zenon_L571_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H81 | zenon_intro zenon_Hdb ].
% 49.46/49.62 apply (zenon_L26_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H89 | zenon_intro zenon_Haf ].
% 49.46/49.62 apply (zenon_L28_); trivial.
% 49.46/49.62 apply (zenon_L745_); trivial.
% 49.46/49.62 apply (zenon_L761_); trivial.
% 49.46/49.62 apply (zenon_L43_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_He1 | zenon_intro zenon_He7 ].
% 49.46/49.62 apply (zenon_L44_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H17 | zenon_intro zenon_H191 ].
% 49.46/49.62 apply (zenon_L14_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H60 | zenon_intro zenon_H192 ].
% 49.46/49.62 apply (zenon_L581_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H188 | zenon_intro zenon_H18b ].
% 49.46/49.62 apply (zenon_L140_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ].
% 49.46/49.62 apply (zenon_L113_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ].
% 49.46/49.62 apply (zenon_L25_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ].
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H56 | zenon_intro zenon_H158 ].
% 49.46/49.62 apply (zenon_L21_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H64 | zenon_intro zenon_H159 ].
% 49.46/49.62 apply (zenon_L628_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H13d | zenon_intro zenon_H11b ].
% 49.46/49.62 apply (zenon_L88_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H57 | zenon_intro zenon_Hda ].
% 49.46/49.62 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He6 | zenon_intro zenon_Hf8 ].
% 49.46/49.62 apply (zenon_L540_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Hab | zenon_intro zenon_Hf9 ].
% 49.46/49.62 apply (zenon_L47_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_He9 | zenon_intro zenon_Hf3 ].
% 49.46/49.62 apply (zenon_L48_); trivial.
% 49.46/49.62 apply (zenon_L718_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H81 | zenon_intro zenon_Hdb ].
% 49.46/49.62 apply (zenon_L26_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H89 | zenon_intro zenon_Haf ].
% 49.46/49.62 apply (zenon_L28_); trivial.
% 49.46/49.62 apply (zenon_L745_); trivial.
% 49.46/49.62 apply (zenon_L504_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H39 ].
% 49.46/49.62 apply (zenon_L7_); trivial.
% 49.46/49.62 apply (zenon_L8_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H10e | zenon_intro zenon_H169 ].
% 49.46/49.62 apply (zenon_L142_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_He4 | zenon_intro zenon_H110 ].
% 49.46/49.62 apply (zenon_L753_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H72 | zenon_intro zenon_H397 ].
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H25 | zenon_intro zenon_H114 ].
% 49.46/49.62 apply (zenon_L4_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H54 | zenon_intro zenon_H115 ].
% 49.46/49.62 apply (zenon_L113_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H57 | zenon_intro zenon_H8c ].
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H25 | zenon_intro zenon_H41 ].
% 49.46/49.62 apply (zenon_L4_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H2c | zenon_intro zenon_H42 ].
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H2b | zenon_intro zenon_H163 ].
% 49.46/49.62 apply (zenon_L6_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H60 | zenon_intro zenon_H164 ].
% 49.46/49.62 apply (zenon_L755_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_He1 | zenon_intro zenon_He7 ].
% 49.46/49.62 apply (zenon_L44_); trivial.
% 49.46/49.62 apply (zenon_L647_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H39 ].
% 49.46/49.62 apply (zenon_L7_); trivial.
% 49.46/49.62 apply (zenon_L8_); trivial.
% 49.46/49.62 apply (zenon_L63_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H73 | zenon_intro zenon_H398 ].
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H25 | zenon_intro zenon_H114 ].
% 49.46/49.62 apply (zenon_L4_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H54 | zenon_intro zenon_H115 ].
% 49.46/49.62 apply (zenon_L113_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H57 | zenon_intro zenon_H8c ].
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H25 | zenon_intro zenon_H41 ].
% 49.46/49.62 apply (zenon_L4_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H2c | zenon_intro zenon_H42 ].
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H17 | zenon_intro zenon_H191 ].
% 49.46/49.62 apply (zenon_L556_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H60 | zenon_intro zenon_H192 ].
% 49.46/49.62 apply (zenon_L755_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H188 | zenon_intro zenon_H18b ].
% 49.46/49.62 apply (zenon_L140_); trivial.
% 49.46/49.62 apply (zenon_L561_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H39 ].
% 49.46/49.62 apply (zenon_L7_); trivial.
% 49.46/49.62 apply (zenon_L8_); trivial.
% 49.46/49.62 apply (zenon_L63_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H394 | zenon_intro zenon_H92 ].
% 49.46/49.62 apply (zenon_L642_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H25 | zenon_intro zenon_H114 ].
% 49.46/49.62 apply (zenon_L4_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H54 | zenon_intro zenon_H115 ].
% 49.46/49.62 apply (zenon_L113_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H57 | zenon_intro zenon_H8c ].
% 49.46/49.62 apply (zenon_L756_); trivial.
% 49.46/49.62 apply (zenon_L63_); trivial.
% 49.46/49.62 apply (zenon_L70_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H56 | zenon_intro zenon_He6 ].
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H371); [ zenon_intro zenon_H4b | zenon_intro zenon_H372 ].
% 49.46/49.62 apply (zenon_L13_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H5b | zenon_intro zenon_H373 ].
% 49.46/49.62 apply (zenon_L18_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H373); [ zenon_intro zenon_H353 | zenon_intro zenon_H121 ].
% 49.46/49.62 apply (zenon_L760_); trivial.
% 49.46/49.62 apply (zenon_L70_); trivial.
% 49.46/49.62 apply (zenon_L550_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H3aa); [ zenon_intro zenon_H17 | zenon_intro zenon_H3ab ].
% 49.46/49.62 apply (zenon_L110_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H3ab); [ zenon_intro zenon_H174 | zenon_intro zenon_H177 ].
% 49.46/49.62 apply (zenon_L111_); trivial.
% 49.46/49.62 apply (zenon_L153_); trivial.
% 49.46/49.62 (* end of lemma zenon_L765_ *)
% 49.46/49.62 assert (zenon_L766_ : (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> ((op2 (e21) (e22)) = (e21)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((op2 (e20) (e23)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((h3 (e12)) = (e22)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (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 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((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) (e10)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (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 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e11))) -> False).
% 49.46/49.62 do 0 intro. intros zenon_H253 zenon_H297 zenon_H213 zenon_H214 zenon_H1de zenon_H291 zenon_H298 zenon_H1fc zenon_H14 zenon_H19b zenon_H206 zenon_H205 zenon_H3a9 zenon_H365 zenon_H36e zenon_H368 zenon_H36b zenon_H360 zenon_H35d zenon_H362 zenon_H371 zenon_H3b0 zenon_H19e zenon_H39d zenon_H422 zenon_H37f zenon_H387 zenon_H377 zenon_H37b zenon_H396 zenon_H391 zenon_H38e zenon_H161 zenon_H13f zenon_H126 zenon_H122 zenon_H155 zenon_H9e zenon_Hfa zenon_Hf7 zenon_H19 zenon_H173 zenon_H16a zenon_H178 zenon_H40 zenon_H43 zenon_H16b zenon_H4a zenon_H111 zenon_H160 zenon_H182 zenon_H8b zenon_H12b zenon_H154 zenon_H7b zenon_H10b zenon_H142 zenon_H11e zenon_H3a zenon_H135 zenon_H13a zenon_H11d zenon_H117 zenon_H15e zenon_H2d zenon_H58 zenon_H190 zenon_H17a zenon_H82 zenon_H20 zenon_H24 zenon_Hd6 zenon_H76 zenon_H96 zenon_H99 zenon_H18e zenon_Hae zenon_Hea zenon_Hc7 zenon_H63 zenon_He0 zenon_H108 zenon_H185 zenon_Hd9 zenon_H151 zenon_H146 zenon_H15a zenon_H18d zenon_H33 zenon_Hfd zenon_H6c zenon_H67 zenon_H16c zenon_H15f zenon_H1f zenon_H187 zenon_H180 zenon_H23 zenon_H113 zenon_H4f.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H254 ].
% 49.46/49.62 apply (zenon_L220_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1fb | zenon_intro zenon_H255 ].
% 49.46/49.62 apply (zenon_L178_); trivial.
% 49.46/49.62 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H203 | zenon_intro zenon_H229 ].
% 49.46/49.62 apply (zenon_L180_); trivial.
% 49.46/49.62 apply (zenon_L765_); trivial.
% 49.46/49.62 (* end of lemma zenon_L766_ *)
% 49.46/49.62 assert (zenon_L767_ : (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((e20) = (e22))) -> ((op2 (e21) (e21)) = (e20)) -> (~((e10) = (e11))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (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) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((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 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12))))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> False).
% 49.46/49.63 do 0 intro. intros zenon_H2da zenon_H1ec zenon_H19d zenon_H1f0 zenon_H1da zenon_H4f zenon_H113 zenon_H23 zenon_H180 zenon_H187 zenon_H1f zenon_H15f zenon_H16c zenon_H67 zenon_H6c zenon_Hfd zenon_H33 zenon_H18d zenon_H15a zenon_H146 zenon_H151 zenon_Hd9 zenon_H185 zenon_H108 zenon_He0 zenon_H63 zenon_Hc7 zenon_Hea zenon_Hae zenon_H18e zenon_H99 zenon_H96 zenon_H76 zenon_Hd6 zenon_H24 zenon_H20 zenon_H82 zenon_H17a zenon_H190 zenon_H58 zenon_H2d zenon_H15e zenon_H117 zenon_H11d zenon_H13a zenon_H135 zenon_H3a zenon_H11e zenon_H142 zenon_H10b zenon_H7b zenon_H154 zenon_H12b zenon_H8b zenon_H182 zenon_H160 zenon_H111 zenon_H4a zenon_H16b zenon_H43 zenon_H40 zenon_H178 zenon_H16a zenon_H173 zenon_H19 zenon_Hf7 zenon_Hfa zenon_H9e zenon_H155 zenon_H122 zenon_H126 zenon_H13f zenon_H161 zenon_H38e zenon_H391 zenon_H396 zenon_H37b zenon_H377 zenon_H387 zenon_H37f zenon_H422 zenon_H39d zenon_H19e zenon_H3b0 zenon_H371 zenon_H362 zenon_H35d zenon_H360 zenon_H36b zenon_H368 zenon_H36e zenon_H365 zenon_H3a9 zenon_H205 zenon_H1fc zenon_H298 zenon_H291 zenon_H1de zenon_H213 zenon_H297 zenon_H253 zenon_H33a zenon_H336 zenon_H264 zenon_H14 zenon_H19b zenon_H2ff zenon_H274 zenon_H206.
% 49.46/49.63 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H1ed | zenon_intro zenon_H2e1 ].
% 49.46/49.63 apply (zenon_L175_); trivial.
% 49.46/49.63 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H1ef | zenon_intro zenon_H2e2 ].
% 49.46/49.63 apply (zenon_L176_); trivial.
% 49.46/49.63 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H214 | zenon_intro zenon_H258 ].
% 49.46/49.63 apply (zenon_L766_); trivial.
% 49.46/49.63 apply (zenon_L388_); trivial.
% 49.46/49.63 (* end of lemma zenon_L767_ *)
% 49.46/49.63 assert (zenon_L768_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e22)) = (e22)) -> ((op2 (e22) (e21)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e21) (e23)) = (e22)) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e20)) = (e23)) -> ((op2 (e23) (e23)) = (e23)) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((e20) = (e22))) -> ((op2 (e21) (e21)) = (e20)) -> (~((e10) = (e11))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (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) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((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 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12))))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> False).
% 49.46/49.63 do 0 intro. intros zenon_H342 zenon_H2b4 zenon_H215 zenon_H238 zenon_H1e6 zenon_H258 zenon_H1d1 zenon_H2a5 zenon_H241 zenon_H1a6 zenon_H2a6 zenon_H2da zenon_H1ec zenon_H19d zenon_H1f0 zenon_H1da zenon_H4f zenon_H113 zenon_H23 zenon_H180 zenon_H187 zenon_H1f zenon_H15f zenon_H16c zenon_H67 zenon_H6c zenon_Hfd zenon_H33 zenon_H18d zenon_H15a zenon_H146 zenon_H151 zenon_Hd9 zenon_H185 zenon_H108 zenon_He0 zenon_H63 zenon_Hc7 zenon_Hea zenon_Hae zenon_H18e zenon_H99 zenon_H96 zenon_H76 zenon_Hd6 zenon_H24 zenon_H20 zenon_H82 zenon_H17a zenon_H190 zenon_H58 zenon_H2d zenon_H15e zenon_H117 zenon_H11d zenon_H13a zenon_H135 zenon_H3a zenon_H11e zenon_H142 zenon_H10b zenon_H7b zenon_H154 zenon_H12b zenon_H8b zenon_H182 zenon_H160 zenon_H111 zenon_H4a zenon_H16b zenon_H43 zenon_H40 zenon_H178 zenon_H16a zenon_H173 zenon_H19 zenon_Hf7 zenon_Hfa zenon_H9e zenon_H155 zenon_H122 zenon_H126 zenon_H13f zenon_H161 zenon_H38e zenon_H391 zenon_H396 zenon_H37b zenon_H377 zenon_H387 zenon_H37f zenon_H422 zenon_H39d zenon_H19e zenon_H3b0 zenon_H371 zenon_H362 zenon_H35d zenon_H360 zenon_H36b zenon_H368 zenon_H36e zenon_H365 zenon_H3a9 zenon_H205 zenon_H1fc zenon_H298 zenon_H291 zenon_H1de zenon_H213 zenon_H297 zenon_H253 zenon_H33a zenon_H336 zenon_H264 zenon_H14 zenon_H19b zenon_H2ff zenon_H274.
% 49.46/49.63 apply (zenon_or_s _ _ zenon_H342); [ zenon_intro zenon_H2f1 | zenon_intro zenon_H343 ].
% 49.46/49.63 apply (zenon_L287_); trivial.
% 49.46/49.63 apply (zenon_or_s _ _ zenon_H343); [ zenon_intro zenon_H260 | zenon_intro zenon_H344 ].
% 49.46/49.63 apply (zenon_L229_); trivial.
% 49.46/49.63 apply (zenon_or_s _ _ zenon_H344); [ zenon_intro zenon_H28a | zenon_intro zenon_H206 ].
% 49.46/49.63 apply (zenon_L402_); trivial.
% 49.46/49.63 apply (zenon_L767_); trivial.
% 49.46/49.63 (* end of lemma zenon_L768_ *)
% 49.46/49.63 assert (zenon_L769_ : (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e23)) = (e20)) -> ((op2 (e23) (e21)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e23)) = (e21)) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e22)) = (e22)) -> ((op2 (e22) (e21)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e21) (e23)) = (e22)) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e20)) = (e23)) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((e20) = (e22))) -> ((op2 (e21) (e21)) = (e20)) -> (~((e10) = (e11))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (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) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((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 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12))))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> False).
% 49.46/49.63 do 0 intro. intros zenon_H2cb zenon_H2c0 zenon_H30d zenon_H1ad zenon_H2fa zenon_H314 zenon_H256 zenon_H218 zenon_H26d zenon_H342 zenon_H2b4 zenon_H215 zenon_H238 zenon_H1e6 zenon_H258 zenon_H1d1 zenon_H2a5 zenon_H241 zenon_H1a6 zenon_H2da zenon_H1ec zenon_H19d zenon_H1f0 zenon_H1da zenon_H4f zenon_H113 zenon_H23 zenon_H180 zenon_H187 zenon_H1f zenon_H15f zenon_H16c zenon_H67 zenon_H6c zenon_Hfd zenon_H33 zenon_H18d zenon_H15a zenon_H146 zenon_H151 zenon_Hd9 zenon_H185 zenon_H108 zenon_He0 zenon_H63 zenon_Hc7 zenon_Hea zenon_Hae zenon_H18e zenon_H99 zenon_H96 zenon_H76 zenon_Hd6 zenon_H24 zenon_H20 zenon_H82 zenon_H17a zenon_H190 zenon_H58 zenon_H2d zenon_H15e zenon_H117 zenon_H11d zenon_H13a zenon_H135 zenon_H3a zenon_H11e zenon_H142 zenon_H10b zenon_H7b zenon_H154 zenon_H12b zenon_H8b zenon_H182 zenon_H160 zenon_H111 zenon_H4a zenon_H16b zenon_H43 zenon_H40 zenon_H178 zenon_H16a zenon_H173 zenon_H19 zenon_Hf7 zenon_Hfa zenon_H9e zenon_H155 zenon_H122 zenon_H126 zenon_H13f zenon_H161 zenon_H38e zenon_H391 zenon_H396 zenon_H37b zenon_H377 zenon_H387 zenon_H37f zenon_H422 zenon_H39d zenon_H19e zenon_H3b0 zenon_H371 zenon_H362 zenon_H35d zenon_H360 zenon_H36b zenon_H368 zenon_H36e zenon_H365 zenon_H3a9 zenon_H205 zenon_H1fc zenon_H298 zenon_H291 zenon_H1de zenon_H213 zenon_H297 zenon_H253 zenon_H33a zenon_H336 zenon_H264 zenon_H14 zenon_H19b zenon_H2ff zenon_H274.
% 49.46/49.63 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H206 | zenon_intro zenon_H2cc ].
% 49.46/49.63 apply (zenon_L767_); trivial.
% 49.46/49.63 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H2bf | zenon_intro zenon_H2cd ].
% 49.46/49.63 apply (zenon_L245_); trivial.
% 49.46/49.63 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H275 | zenon_intro zenon_H2a6 ].
% 49.46/49.63 apply (zenon_L408_); trivial.
% 49.46/49.63 apply (zenon_L768_); trivial.
% 49.46/49.63 (* end of lemma zenon_L769_ *)
% 49.46/49.63 assert (zenon_L770_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e23) (e23)) = (e21)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e22)) = (e22)) -> ((op2 (e22) (e21)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e21) (e23)) = (e22)) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e20)) = (e23)) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((e20) = (e22))) -> ((op2 (e21) (e21)) = (e20)) -> (~((e10) = (e11))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (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) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((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 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12))))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> False).
% 49.46/49.63 do 0 intro. intros zenon_H2af zenon_H1b4 zenon_H26d zenon_H218 zenon_H314 zenon_H2fa zenon_H1ad zenon_H30d zenon_H2c0 zenon_H2cb zenon_H342 zenon_H2b4 zenon_H215 zenon_H238 zenon_H1e6 zenon_H258 zenon_H1d1 zenon_H2a5 zenon_H241 zenon_H1a6 zenon_H2da zenon_H1ec zenon_H19d zenon_H1f0 zenon_H1da zenon_H4f zenon_H113 zenon_H23 zenon_H180 zenon_H187 zenon_H1f zenon_H15f zenon_H16c zenon_H67 zenon_H6c zenon_Hfd zenon_H33 zenon_H18d zenon_H15a zenon_H146 zenon_H151 zenon_Hd9 zenon_H185 zenon_H108 zenon_He0 zenon_H63 zenon_Hc7 zenon_Hea zenon_Hae zenon_H18e zenon_H99 zenon_H96 zenon_H76 zenon_Hd6 zenon_H24 zenon_H20 zenon_H82 zenon_H17a zenon_H190 zenon_H58 zenon_H2d zenon_H15e zenon_H117 zenon_H11d zenon_H13a zenon_H135 zenon_H3a zenon_H11e zenon_H142 zenon_H10b zenon_H7b zenon_H154 zenon_H12b zenon_H8b zenon_H182 zenon_H160 zenon_H111 zenon_H4a zenon_H16b zenon_H43 zenon_H40 zenon_H178 zenon_H16a zenon_H173 zenon_H19 zenon_Hf7 zenon_Hfa zenon_H9e zenon_H155 zenon_H122 zenon_H126 zenon_H13f zenon_H161 zenon_H38e zenon_H391 zenon_H396 zenon_H37b zenon_H377 zenon_H387 zenon_H37f zenon_H422 zenon_H39d zenon_H19e zenon_H3b0 zenon_H371 zenon_H362 zenon_H35d zenon_H360 zenon_H36b zenon_H368 zenon_H36e zenon_H365 zenon_H3a9 zenon_H205 zenon_H1fc zenon_H298 zenon_H291 zenon_H1de zenon_H213 zenon_H297 zenon_H253 zenon_H33a zenon_H336 zenon_H264 zenon_H14 zenon_H19b zenon_H2ff zenon_H274.
% 49.46/49.63 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H2b0 ].
% 49.46/49.63 apply (zenon_L160_); trivial.
% 49.46/49.63 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H256 | zenon_intro zenon_H2b1 ].
% 49.46/49.63 apply (zenon_L769_); trivial.
% 49.46/49.63 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H229 | zenon_intro zenon_H2a6 ].
% 49.46/49.63 apply (zenon_L219_); trivial.
% 49.46/49.63 apply (zenon_L768_); trivial.
% 49.46/49.63 (* end of lemma zenon_L770_ *)
% 49.46/49.63 assert (zenon_L771_ : (~((e21) = (e22))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (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) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((e21) = (e23))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e22)) = (e22)) -> ((op2 (e22) (e21)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e21) (e23)) = (e22)) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e20)) = (e23)) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((e20) = (e22))) -> ((op2 (e21) (e21)) = (e20)) -> (~((e10) = (e11))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (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) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((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 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12))))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> False).
% 49.46/49.63 do 0 intro. intros zenon_H210 zenon_H2ce zenon_H317 zenon_H250 zenon_H1c9 zenon_H228 zenon_H308 zenon_H2d4 zenon_H277 zenon_H2e6 zenon_H307 zenon_H25a zenon_H282 zenon_H31a zenon_H2cf zenon_H1f5 zenon_H2a0 zenon_H29c zenon_H1dd zenon_H28b zenon_H285 zenon_H1d2 zenon_H271 zenon_H2af zenon_H1b4 zenon_H218 zenon_H314 zenon_H2fa zenon_H1ad zenon_H30d zenon_H2c0 zenon_H2cb zenon_H342 zenon_H2b4 zenon_H215 zenon_H238 zenon_H1e6 zenon_H258 zenon_H1d1 zenon_H2a5 zenon_H241 zenon_H1a6 zenon_H2da zenon_H1ec zenon_H19d zenon_H1f0 zenon_H1da zenon_H4f zenon_H113 zenon_H23 zenon_H180 zenon_H187 zenon_H1f zenon_H15f zenon_H16c zenon_H67 zenon_H6c zenon_Hfd zenon_H33 zenon_H18d zenon_H15a zenon_H146 zenon_H151 zenon_Hd9 zenon_H185 zenon_H108 zenon_He0 zenon_H63 zenon_Hc7 zenon_Hea zenon_Hae zenon_H18e zenon_H99 zenon_H96 zenon_H76 zenon_Hd6 zenon_H24 zenon_H20 zenon_H82 zenon_H17a zenon_H190 zenon_H58 zenon_H2d zenon_H15e zenon_H117 zenon_H11d zenon_H13a zenon_H135 zenon_H3a zenon_H11e zenon_H142 zenon_H10b zenon_H7b zenon_H154 zenon_H12b zenon_H8b zenon_H182 zenon_H160 zenon_H111 zenon_H4a zenon_H16b zenon_H43 zenon_H40 zenon_H178 zenon_H16a zenon_H173 zenon_H19 zenon_Hf7 zenon_Hfa zenon_H9e zenon_H155 zenon_H122 zenon_H126 zenon_H13f zenon_H161 zenon_H38e zenon_H391 zenon_H396 zenon_H37b zenon_H377 zenon_H387 zenon_H37f zenon_H422 zenon_H39d zenon_H19e zenon_H3b0 zenon_H371 zenon_H362 zenon_H35d zenon_H360 zenon_H36b zenon_H368 zenon_H36e zenon_H365 zenon_H3a9 zenon_H205 zenon_H1fc zenon_H298 zenon_H291 zenon_H1de zenon_H213 zenon_H297 zenon_H253 zenon_H33a zenon_H336 zenon_H264 zenon_H14 zenon_H19b zenon_H2ff zenon_H274.
% 49.46/49.63 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H29b | zenon_intro zenon_H2a1 ].
% 49.46/49.63 apply (zenon_L222_); trivial.
% 49.46/49.63 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H20e | zenon_intro zenon_H2a2 ].
% 49.46/49.63 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H260 | zenon_intro zenon_H272 ].
% 49.46/49.63 apply (zenon_L334_); trivial.
% 49.46/49.63 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H225 | zenon_intro zenon_H273 ].
% 49.46/49.63 apply (zenon_L195_); trivial.
% 49.46/49.63 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H263 | zenon_intro zenon_H26d ].
% 49.46/49.63 apply (zenon_L200_); trivial.
% 49.46/49.63 apply (zenon_L770_); trivial.
% 49.46/49.63 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H295 | zenon_intro zenon_H26d ].
% 49.46/49.63 apply (zenon_L218_); trivial.
% 49.46/49.63 apply (zenon_L770_); trivial.
% 49.46/49.63 (* end of lemma zenon_L771_ *)
% 49.46/49.63 assert (zenon_L772_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((e21) = (e23))) -> ((op2 (e20) (e21)) = (e21)) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((e22) = (e23))) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((h3 (e12)) = (e22)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (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 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((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) (e10)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (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 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e11))) -> False).
% 49.46/49.63 do 0 intro. intros zenon_H28d zenon_H19d zenon_H1d2 zenon_H1c8 zenon_H253 zenon_H28b zenon_H25e zenon_H1fc zenon_H14 zenon_H19b zenon_H205 zenon_H3a9 zenon_H365 zenon_H36e zenon_H368 zenon_H36b zenon_H360 zenon_H35d zenon_H362 zenon_H371 zenon_H3b0 zenon_H19e zenon_H39d zenon_H422 zenon_H37f zenon_H387 zenon_H377 zenon_H37b zenon_H396 zenon_H391 zenon_H38e zenon_H161 zenon_H13f zenon_H126 zenon_H122 zenon_H155 zenon_H9e zenon_Hfa zenon_Hf7 zenon_H19 zenon_H173 zenon_H16a zenon_H178 zenon_H40 zenon_H43 zenon_H16b zenon_H4a zenon_H111 zenon_H160 zenon_H182 zenon_H8b zenon_H12b zenon_H154 zenon_H7b zenon_H10b zenon_H142 zenon_H11e zenon_H3a zenon_H135 zenon_H13a zenon_H11d zenon_H117 zenon_H15e zenon_H2d zenon_H58 zenon_H190 zenon_H17a zenon_H82 zenon_H20 zenon_H24 zenon_Hd6 zenon_H76 zenon_H96 zenon_H99 zenon_H18e zenon_Hae zenon_Hea zenon_Hc7 zenon_H63 zenon_He0 zenon_H108 zenon_H185 zenon_Hd9 zenon_H151 zenon_H146 zenon_H15a zenon_H18d zenon_H33 zenon_Hfd zenon_H6c zenon_H67 zenon_H16c zenon_H15f zenon_H1f zenon_H187 zenon_H180 zenon_H23 zenon_H113 zenon_H4f.
% 49.46/49.63 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H19f | zenon_intro zenon_H28e ].
% 49.46/49.63 apply (zenon_L156_); trivial.
% 49.46/49.63 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28f ].
% 49.46/49.63 apply (zenon_L265_); trivial.
% 49.46/49.63 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H206 ].
% 49.46/49.63 apply (zenon_L221_); trivial.
% 49.46/49.63 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H254 ].
% 49.46/49.63 apply (zenon_L221_); trivial.
% 49.46/49.63 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1fb | zenon_intro zenon_H255 ].
% 49.46/49.63 apply (zenon_L178_); trivial.
% 49.46/49.63 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H203 | zenon_intro zenon_H229 ].
% 49.46/49.63 apply (zenon_L180_); trivial.
% 49.46/49.63 apply (zenon_L765_); trivial.
% 49.46/49.63 (* end of lemma zenon_L772_ *)
% 49.46/49.63 assert (zenon_L773_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((e20) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> ((op2 (e22) (e20)) = (e21)) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e10) = (e11))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (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) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((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 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12))))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e21) (e20)) = (e23)) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> False).
% 49.46/49.63 do 0 intro. intros zenon_H317 zenon_H331 zenon_H194 zenon_H1a7 zenon_H291 zenon_H2af zenon_H1b4 zenon_H297 zenon_H1d1 zenon_H30d zenon_H1da zenon_H1ad zenon_H2fa zenon_H2c0 zenon_H28b zenon_H2cb zenon_H4f zenon_H113 zenon_H23 zenon_H180 zenon_H187 zenon_H1f zenon_H15f zenon_H16c zenon_H67 zenon_H6c zenon_Hfd zenon_H33 zenon_H18d zenon_H15a zenon_H146 zenon_H151 zenon_Hd9 zenon_H185 zenon_H108 zenon_He0 zenon_H63 zenon_Hc7 zenon_Hea zenon_Hae zenon_H18e zenon_H99 zenon_H96 zenon_H76 zenon_Hd6 zenon_H24 zenon_H20 zenon_H82 zenon_H17a zenon_H190 zenon_H58 zenon_H2d zenon_H15e zenon_H117 zenon_H11d zenon_H13a zenon_H135 zenon_H3a zenon_H11e zenon_H142 zenon_H10b zenon_H7b zenon_H154 zenon_H12b zenon_H8b zenon_H182 zenon_H160 zenon_H111 zenon_H4a zenon_H16b zenon_H43 zenon_H40 zenon_H178 zenon_H16a zenon_H173 zenon_H19 zenon_Hf7 zenon_Hfa zenon_H9e zenon_H155 zenon_H122 zenon_H126 zenon_H13f zenon_H161 zenon_H38e zenon_H391 zenon_H396 zenon_H37b zenon_H377 zenon_H387 zenon_H37f zenon_H422 zenon_H39d zenon_H3b0 zenon_H371 zenon_H362 zenon_H35d zenon_H360 zenon_H36b zenon_H368 zenon_H36e zenon_H365 zenon_H3a9 zenon_H33a zenon_H336 zenon_H264 zenon_H28a zenon_H274 zenon_H19e zenon_H1a6 zenon_H19b zenon_H14 zenon_H241.
% 49.46/49.63 apply (zenon_or_s _ _ zenon_H317); [ zenon_intro zenon_H20b | zenon_intro zenon_H318 ].
% 49.46/49.63 apply (zenon_L382_); trivial.
% 49.46/49.63 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H305 | zenon_intro zenon_H319 ].
% 49.46/49.63 apply (zenon_L418_); trivial.
% 49.46/49.63 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H290 | zenon_intro zenon_H314 ].
% 49.46/49.63 apply (zenon_L217_); trivial.
% 49.46/49.63 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H2b0 ].
% 49.46/49.64 apply (zenon_L160_); trivial.
% 49.46/49.64 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H256 | zenon_intro zenon_H2b1 ].
% 49.46/49.64 apply (zenon_L422_); trivial.
% 49.46/49.64 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H229 | zenon_intro zenon_H2a6 ].
% 49.46/49.64 apply (zenon_L765_); trivial.
% 49.46/49.64 apply (zenon_L402_); trivial.
% 49.46/49.64 (* end of lemma zenon_L773_ *)
% 49.46/49.64 assert (zenon_L774_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> (~((e20) = (e23))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e20) = (e22))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e22)) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((e20) = (e21))) -> ((op2 (e20) (e21)) = (e21)) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e10) = (e11))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (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) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((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 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12))))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False).
% 49.46/49.64 do 0 intro. intros zenon_H1ba zenon_H19d zenon_H241 zenon_H274 zenon_H28a zenon_H264 zenon_H336 zenon_H33a zenon_H297 zenon_H1d1 zenon_H1a7 zenon_H2af zenon_H301 zenon_H2d9 zenon_H1f0 zenon_H298 zenon_H291 zenon_H213 zenon_H20c zenon_H2da zenon_H1c9 zenon_H1c8 zenon_H30a zenon_H25a zenon_H317 zenon_H331 zenon_H194 zenon_H30d zenon_H2fa zenon_H2c0 zenon_H28b zenon_H2cb zenon_H4f zenon_H113 zenon_H23 zenon_H180 zenon_H187 zenon_H1f zenon_H15f zenon_H16c zenon_H67 zenon_H6c zenon_Hfd zenon_H33 zenon_H18d zenon_H15a zenon_H146 zenon_H151 zenon_Hd9 zenon_H185 zenon_H108 zenon_He0 zenon_H63 zenon_Hc7 zenon_Hea zenon_Hae zenon_H18e zenon_H99 zenon_H96 zenon_H76 zenon_Hd6 zenon_H24 zenon_H20 zenon_H82 zenon_H17a zenon_H190 zenon_H58 zenon_H2d zenon_H15e zenon_H117 zenon_H11d zenon_H13a zenon_H135 zenon_H3a zenon_H11e zenon_H142 zenon_H10b zenon_H7b zenon_H154 zenon_H12b zenon_H8b zenon_H182 zenon_H160 zenon_H111 zenon_H4a zenon_H16b zenon_H43 zenon_H40 zenon_H178 zenon_H16a zenon_H173 zenon_H19 zenon_Hf7 zenon_Hfa zenon_H9e zenon_H155 zenon_H122 zenon_H126 zenon_H13f zenon_H161 zenon_H38e zenon_H391 zenon_H396 zenon_H37b zenon_H377 zenon_H387 zenon_H37f zenon_H422 zenon_H39d zenon_H3b0 zenon_H371 zenon_H362 zenon_H35d zenon_H360 zenon_H36b zenon_H368 zenon_H36e zenon_H365 zenon_H3a9 zenon_H2db zenon_H1ad zenon_H19e zenon_H14 zenon_H19b zenon_H1b4.
% 49.46/49.64 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ].
% 49.46/49.64 apply (zenon_L156_); trivial.
% 49.46/49.64 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ].
% 49.46/49.64 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2dd ].
% 49.46/49.64 apply (zenon_L158_); trivial.
% 49.46/49.64 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1da | zenon_intro zenon_H2de ].
% 49.46/49.64 apply (zenon_L773_); trivial.
% 49.46/49.64 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H25b | zenon_intro zenon_H261 ].
% 49.46/49.64 apply (zenon_L196_); trivial.
% 49.46/49.64 apply (zenon_L425_); trivial.
% 49.46/49.64 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ].
% 49.46/49.64 apply (zenon_L159_); trivial.
% 49.46/49.64 apply (zenon_L160_); trivial.
% 49.46/49.64 (* end of lemma zenon_L774_ *)
% 49.46/49.64 assert (zenon_L775_ : (~((e20) = (e21))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (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) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((e21) = (e22))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((e21) = (e23))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((e22) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e22)) = (e21)) -> ((op2 (e20) (e21)) = (e21)) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (e22) (e20)) = (e21)) -> (~((e10) = (e11))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (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) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((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 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12))))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e21)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (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) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> (~((e20) = (e23))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((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 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False).
% 49.46/49.64 do 0 intro. intros zenon_H1c9 zenon_H28d zenon_H19d zenon_H301 zenon_H2d9 zenon_H2e6 zenon_H1e1 zenon_H277 zenon_H1ad zenon_H307 zenon_H2d4 zenon_H2c0 zenon_H2cb zenon_H253 zenon_H2ff zenon_H282 zenon_H25a zenon_H1dd zenon_H228 zenon_H308 zenon_H213 zenon_H210 zenon_H1f0 zenon_H250 zenon_H1fc zenon_H2f4 zenon_H30a zenon_H1d2 zenon_H2d8 zenon_H298 zenon_H2bc zenon_H285 zenon_H1f5 zenon_H2ce zenon_H2fc zenon_H2da zenon_H28b zenon_H1c4 zenon_H2e5 zenon_H1bd zenon_H1ba zenon_H2f2 zenon_H2e4 zenon_H322 zenon_H295 zenon_H1c8 zenon_H317 zenon_H30d zenon_H4f zenon_H113 zenon_H23 zenon_H180 zenon_H187 zenon_H1f zenon_H15f zenon_H16c zenon_H67 zenon_H6c zenon_Hfd zenon_H33 zenon_H18d zenon_H15a zenon_H146 zenon_H151 zenon_Hd9 zenon_H185 zenon_H108 zenon_He0 zenon_H63 zenon_Hc7 zenon_Hea zenon_Hae zenon_H18e zenon_H99 zenon_H96 zenon_H76 zenon_Hd6 zenon_H24 zenon_H20 zenon_H82 zenon_H17a zenon_H190 zenon_H58 zenon_H2d zenon_H15e zenon_H117 zenon_H11d zenon_H13a zenon_H135 zenon_H3a zenon_H11e zenon_H142 zenon_H10b zenon_H7b zenon_H154 zenon_H12b zenon_H8b zenon_H182 zenon_H160 zenon_H111 zenon_H4a zenon_H16b zenon_H43 zenon_H40 zenon_H178 zenon_H16a zenon_H173 zenon_H19 zenon_Hf7 zenon_Hfa zenon_H9e zenon_H155 zenon_H122 zenon_H126 zenon_H13f zenon_H161 zenon_H38e zenon_H391 zenon_H396 zenon_H37b zenon_H377 zenon_H387 zenon_H37f zenon_H422 zenon_H39d zenon_H3b0 zenon_H371 zenon_H362 zenon_H35d zenon_H360 zenon_H36b zenon_H368 zenon_H36e zenon_H365 zenon_H3a9 zenon_H2db zenon_H325 zenon_H194 zenon_H331 zenon_H291 zenon_H238 zenon_H1e6 zenon_H261 zenon_H218 zenon_H33a zenon_H336 zenon_H264 zenon_H274 zenon_H1a6 zenon_H241 zenon_H2a5 zenon_H205 zenon_H342 zenon_H297 zenon_H1d1 zenon_H1a7 zenon_H2af zenon_H31f zenon_H305 zenon_H2fa zenon_H29c zenon_H2b4 zenon_H19e zenon_H14 zenon_H19b zenon_H1b4.
% 49.46/49.64 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H20c | zenon_intro zenon_H251 ].
% 49.46/49.64 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H28a | zenon_intro zenon_H326 ].
% 49.46/49.64 apply (zenon_L774_); trivial.
% 49.46/49.64 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H258 | zenon_intro zenon_H327 ].
% 49.46/49.64 apply (zenon_L336_); trivial.
% 49.46/49.64 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H323 | zenon_intro zenon_H242 ].
% 49.46/49.64 apply (zenon_L420_); trivial.
% 49.46/49.64 apply (zenon_L391_); trivial.
% 49.46/49.64 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H20f | zenon_intro zenon_H252 ].
% 49.46/49.64 apply (zenon_L435_); trivial.
% 49.46/49.64 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H215 | zenon_intro zenon_H242 ].
% 49.46/49.64 apply (zenon_L404_); trivial.
% 49.46/49.64 apply (zenon_L339_); trivial.
% 49.46/49.64 (* end of lemma zenon_L775_ *)
% 49.46/49.64 assert (zenon_L776_ : (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e23))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (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) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((e22) = (e23))) -> (~((e21) = (e23))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((h3 (e12)) = (e22)) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (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 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((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) (e10)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (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 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e11))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False).
% 49.46/49.64 do 0 intro. intros zenon_H1fc zenon_H213 zenon_H1dd zenon_H1d0 zenon_H25a zenon_H282 zenon_H277 zenon_H1ce zenon_H307 zenon_H2d4 zenon_H1a7 zenon_H2af zenon_H253 zenon_H2ff zenon_H1c9 zenon_H322 zenon_H2a5 zenon_H297 zenon_H28d zenon_H2db zenon_H2d9 zenon_H30a zenon_H308 zenon_H30d zenon_H291 zenon_H250 zenon_H1f0 zenon_H31c zenon_H241 zenon_H317 zenon_H2c0 zenon_H205 zenon_H2cb zenon_H1e6 zenon_H2e6 zenon_H301 zenon_H2cf zenon_H210 zenon_H218 zenon_H2a0 zenon_H31a zenon_H19d zenon_H1ba zenon_H28b zenon_H1d2 zenon_H2ed zenon_H328 zenon_H325 zenon_H2bc zenon_H285 zenon_H31f zenon_H2fa zenon_H29c zenon_H2b4 zenon_H271 zenon_H264 zenon_H228 zenon_H1e1 zenon_H3a9 zenon_H365 zenon_H36e zenon_H368 zenon_H36b zenon_H360 zenon_H35d zenon_H362 zenon_H371 zenon_H3b0 zenon_H39d zenon_H422 zenon_H37f zenon_H387 zenon_H377 zenon_H37b zenon_H396 zenon_H391 zenon_H38e zenon_H161 zenon_H13f zenon_H126 zenon_H122 zenon_H155 zenon_H9e zenon_Hfa zenon_Hf7 zenon_H19 zenon_H173 zenon_H16a zenon_H178 zenon_H40 zenon_H43 zenon_H16b zenon_H4a zenon_H111 zenon_H160 zenon_H182 zenon_H8b zenon_H12b zenon_H154 zenon_H7b zenon_H10b zenon_H142 zenon_H11e zenon_H3a zenon_H135 zenon_H13a zenon_H11d zenon_H117 zenon_H15e zenon_H2d zenon_H58 zenon_H190 zenon_H17a zenon_H82 zenon_H20 zenon_H24 zenon_Hd6 zenon_H76 zenon_H96 zenon_H99 zenon_H18e zenon_Hae zenon_Hea zenon_Hc7 zenon_H63 zenon_He0 zenon_H108 zenon_H185 zenon_Hd9 zenon_H151 zenon_H146 zenon_H15a zenon_H18d zenon_H33 zenon_Hfd zenon_H6c zenon_H67 zenon_H16c zenon_H15f zenon_H1f zenon_H187 zenon_H180 zenon_H23 zenon_H113 zenon_H4f zenon_H1ad zenon_H19e zenon_H14 zenon_H19b zenon_H1b4.
% 49.46/49.64 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ].
% 49.46/49.64 apply (zenon_L156_); trivial.
% 49.46/49.64 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ].
% 49.46/49.64 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2dd ].
% 49.46/49.64 apply (zenon_L158_); trivial.
% 49.46/49.64 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1da | zenon_intro zenon_H2de ].
% 49.46/49.64 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H2eb ].
% 49.46/49.64 apply (zenon_L173_); trivial.
% 49.46/49.64 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H1db | zenon_intro zenon_H2ec ].
% 49.46/49.64 apply (zenon_L171_); trivial.
% 49.46/49.64 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H20e ].
% 49.46/49.64 apply (zenon_L174_); trivial.
% 49.46/49.64 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H1ac | zenon_intro zenon_H278 ].
% 49.46/49.64 apply (zenon_L159_); trivial.
% 49.46/49.64 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H238 | zenon_intro zenon_H279 ].
% 49.46/49.64 apply (zenon_L296_); trivial.
% 49.46/49.64 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H203 | zenon_intro zenon_H275 ].
% 49.46/49.64 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H2b0 ].
% 49.46/49.64 apply (zenon_L160_); trivial.
% 49.46/49.64 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H256 | zenon_intro zenon_H2b1 ].
% 49.46/49.64 apply (zenon_L194_); trivial.
% 49.46/49.64 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H229 | zenon_intro zenon_H2a6 ].
% 49.46/49.64 apply (zenon_L765_); trivial.
% 49.46/49.64 apply (zenon_L256_); trivial.
% 49.46/49.64 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H254 ].
% 49.46/49.64 apply (zenon_L169_); trivial.
% 49.46/49.64 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1fb | zenon_intro zenon_H255 ].
% 49.46/49.64 apply (zenon_L178_); trivial.
% 49.46/49.64 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H203 | zenon_intro zenon_H229 ].
% 49.46/49.64 apply (zenon_L284_); trivial.
% 49.46/49.64 apply (zenon_L765_); trivial.
% 49.46/49.64 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H25b | zenon_intro zenon_H261 ].
% 49.46/49.64 apply (zenon_L196_); trivial.
% 49.46/49.64 apply (zenon_L673_); trivial.
% 49.46/49.64 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ].
% 49.46/49.64 apply (zenon_L159_); trivial.
% 49.46/49.64 apply (zenon_L160_); trivial.
% 49.46/49.64 (* end of lemma zenon_L776_ *)
% 49.46/49.64 assert (zenon_L777_ : (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((e21) = (e23))) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((op2 (e20) (e23)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((h3 (e12)) = (e22)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (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 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((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) (e10)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (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 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e11))) -> False).
% 49.46/49.64 do 0 intro. intros zenon_H253 zenon_H1d2 zenon_H1d0 zenon_H1fc zenon_H14 zenon_H19b zenon_H206 zenon_H205 zenon_H3a9 zenon_H365 zenon_H36e zenon_H368 zenon_H36b zenon_H360 zenon_H35d zenon_H362 zenon_H371 zenon_H3b0 zenon_H19e zenon_H39d zenon_H422 zenon_H37f zenon_H387 zenon_H377 zenon_H37b zenon_H396 zenon_H391 zenon_H38e zenon_H161 zenon_H13f zenon_H126 zenon_H122 zenon_H155 zenon_H9e zenon_Hfa zenon_Hf7 zenon_H19 zenon_H173 zenon_H16a zenon_H178 zenon_H40 zenon_H43 zenon_H16b zenon_H4a zenon_H111 zenon_H160 zenon_H182 zenon_H8b zenon_H12b zenon_H154 zenon_H7b zenon_H10b zenon_H142 zenon_H11e zenon_H3a zenon_H135 zenon_H13a zenon_H11d zenon_H117 zenon_H15e zenon_H2d zenon_H58 zenon_H190 zenon_H17a zenon_H82 zenon_H20 zenon_H24 zenon_Hd6 zenon_H76 zenon_H96 zenon_H99 zenon_H18e zenon_Hae zenon_Hea zenon_Hc7 zenon_H63 zenon_He0 zenon_H108 zenon_H185 zenon_Hd9 zenon_H151 zenon_H146 zenon_H15a zenon_H18d zenon_H33 zenon_Hfd zenon_H6c zenon_H67 zenon_H16c zenon_H15f zenon_H1f zenon_H187 zenon_H180 zenon_H23 zenon_H113 zenon_H4f.
% 49.46/49.64 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H254 ].
% 49.46/49.64 apply (zenon_L169_); trivial.
% 49.46/49.64 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1fb | zenon_intro zenon_H255 ].
% 49.46/49.64 apply (zenon_L178_); trivial.
% 49.46/49.64 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H203 | zenon_intro zenon_H229 ].
% 49.46/49.64 apply (zenon_L180_); trivial.
% 49.46/49.64 apply (zenon_L765_); trivial.
% 49.46/49.64 (* end of lemma zenon_L777_ *)
% 49.46/49.64 assert (zenon_L778_ : (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((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)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((e20) = (e21))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e23))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((e21) = (e23))) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((h3 (e12)) = (e22)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (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 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((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) (e10)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (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 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e11))) -> False).
% 49.46/49.64 do 0 intro. intros zenon_H1b4 zenon_H1ad zenon_H1e1 zenon_H228 zenon_H264 zenon_H271 zenon_H2b4 zenon_H29c zenon_H2fa zenon_H31f zenon_H285 zenon_H2bc zenon_H325 zenon_H328 zenon_H2ed zenon_H28b zenon_H1ba zenon_H19d zenon_H31a zenon_H2a0 zenon_H218 zenon_H210 zenon_H2cf zenon_H301 zenon_H2e6 zenon_H1e6 zenon_H2cb zenon_H2c0 zenon_H317 zenon_H241 zenon_H31c zenon_H1f0 zenon_H250 zenon_H291 zenon_H30d zenon_H308 zenon_H30a zenon_H2d9 zenon_H2db zenon_H28d zenon_H297 zenon_H2a5 zenon_H322 zenon_H1c9 zenon_H2ff zenon_H2af zenon_H1a7 zenon_H2d4 zenon_H307 zenon_H277 zenon_H282 zenon_H25a zenon_H1dd zenon_H213 zenon_H253 zenon_H1d2 zenon_H1d0 zenon_H1fc zenon_H14 zenon_H19b zenon_H205 zenon_H3a9 zenon_H365 zenon_H36e zenon_H368 zenon_H36b zenon_H360 zenon_H35d zenon_H362 zenon_H371 zenon_H3b0 zenon_H19e zenon_H39d zenon_H422 zenon_H37f zenon_H387 zenon_H377 zenon_H37b zenon_H396 zenon_H391 zenon_H38e zenon_H161 zenon_H13f zenon_H126 zenon_H122 zenon_H155 zenon_H9e zenon_Hfa zenon_Hf7 zenon_H19 zenon_H173 zenon_H16a zenon_H178 zenon_H40 zenon_H43 zenon_H16b zenon_H4a zenon_H111 zenon_H160 zenon_H182 zenon_H8b zenon_H12b zenon_H154 zenon_H7b zenon_H10b zenon_H142 zenon_H11e zenon_H3a zenon_H135 zenon_H13a zenon_H11d zenon_H117 zenon_H15e zenon_H2d zenon_H58 zenon_H190 zenon_H17a zenon_H82 zenon_H20 zenon_H24 zenon_Hd6 zenon_H76 zenon_H96 zenon_H99 zenon_H18e zenon_Hae zenon_Hea zenon_Hc7 zenon_H63 zenon_He0 zenon_H108 zenon_H185 zenon_Hd9 zenon_H151 zenon_H146 zenon_H15a zenon_H18d zenon_H33 zenon_Hfd zenon_H6c zenon_H67 zenon_H16c zenon_H15f zenon_H1f zenon_H187 zenon_H180 zenon_H23 zenon_H113 zenon_H4f.
% 49.46/49.65 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H19f | zenon_intro zenon_H28e ].
% 49.46/49.65 apply (zenon_L156_); trivial.
% 49.46/49.65 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28f ].
% 49.46/49.65 apply (zenon_L776_); trivial.
% 49.46/49.65 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H206 ].
% 49.46/49.65 apply (zenon_L169_); trivial.
% 49.46/49.65 apply (zenon_L777_); trivial.
% 49.46/49.65 (* end of lemma zenon_L778_ *)
% 49.46/49.65 assert (zenon_L779_ : (~((e21) = (e23))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((e10) = (e11))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (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) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((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 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12))))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e23)) = (e21)) -> (~((e21) = (e22))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e22))) -> (~((e20) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (e21)) = (e20)) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e22) = (e23))) -> ((op2 (e23) (e21)) = (e23)) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> False).
% 49.46/49.65 do 0 intro. intros zenon_H1d2 zenon_H1dd zenon_H282 zenon_H307 zenon_H2d4 zenon_H2af zenon_H2ff zenon_H1c9 zenon_H2a5 zenon_H28d zenon_H2db zenon_H2d9 zenon_H30a zenon_H308 zenon_H31c zenon_H2e6 zenon_H301 zenon_H2cf zenon_H2a0 zenon_H31a zenon_H19d zenon_H1ba zenon_H2ed zenon_H328 zenon_H2bc zenon_H285 zenon_H271 zenon_H228 zenon_H1e1 zenon_H298 zenon_H2b9 zenon_H277 zenon_H4f zenon_H113 zenon_H23 zenon_H180 zenon_H187 zenon_H1f zenon_H15f zenon_H16c zenon_H67 zenon_H6c zenon_Hfd zenon_H33 zenon_H18d zenon_H15a zenon_H146 zenon_H151 zenon_Hd9 zenon_H185 zenon_H108 zenon_He0 zenon_H63 zenon_Hc7 zenon_Hea zenon_Hae zenon_H18e zenon_H99 zenon_H96 zenon_H76 zenon_Hd6 zenon_H24 zenon_H20 zenon_H82 zenon_H17a zenon_H190 zenon_H58 zenon_H2d zenon_H15e zenon_H117 zenon_H11d zenon_H13a zenon_H135 zenon_H3a zenon_H11e zenon_H142 zenon_H10b zenon_H7b zenon_H154 zenon_H12b zenon_H8b zenon_H182 zenon_H160 zenon_H111 zenon_H4a zenon_H16b zenon_H43 zenon_H40 zenon_H178 zenon_H16a zenon_H173 zenon_H19 zenon_Hf7 zenon_Hfa zenon_H9e zenon_H155 zenon_H122 zenon_H126 zenon_H13f zenon_H161 zenon_H38e zenon_H391 zenon_H396 zenon_H37b zenon_H377 zenon_H387 zenon_H37f zenon_H422 zenon_H39d zenon_H3b0 zenon_H371 zenon_H362 zenon_H35d zenon_H360 zenon_H36b zenon_H368 zenon_H36e zenon_H365 zenon_H3a9 zenon_H14 zenon_H1fc zenon_H250 zenon_H218 zenon_H25a zenon_H1e6 zenon_H322 zenon_H225 zenon_H210 zenon_H317 zenon_H1f0 zenon_H1a7 zenon_H291 zenon_H2cb zenon_H2c0 zenon_H2fa zenon_H1ad zenon_H1da zenon_H30d zenon_H297 zenon_H33a zenon_H336 zenon_H264 zenon_H1a6 zenon_H241 zenon_H325 zenon_H28b zenon_H256 zenon_H214 zenon_H213 zenon_H31f zenon_H331 zenon_H194 zenon_H29c zenon_H2b4 zenon_H1b4 zenon_H253 zenon_H19b zenon_H19e zenon_H205 zenon_H274 zenon_H206.
% 49.46/49.65 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H2d2 ].
% 49.46/49.65 apply (zenon_L778_); trivial.
% 49.46/49.65 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H1de | zenon_intro zenon_H2d3 ].
% 49.46/49.65 apply (zenon_L766_); trivial.
% 49.46/49.65 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H295 ].
% 49.46/49.65 apply (zenon_L460_); trivial.
% 49.46/49.65 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H1ac | zenon_intro zenon_H278 ].
% 49.46/49.65 apply (zenon_L159_); trivial.
% 49.46/49.65 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H238 | zenon_intro zenon_H279 ].
% 49.46/49.65 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H254 ].
% 49.46/49.65 apply (zenon_L462_); trivial.
% 49.46/49.65 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1fb | zenon_intro zenon_H255 ].
% 49.46/49.65 apply (zenon_L178_); trivial.
% 49.46/49.65 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H203 | zenon_intro zenon_H229 ].
% 49.46/49.65 apply (zenon_L180_); trivial.
% 49.46/49.65 apply (zenon_L765_); trivial.
% 49.46/49.65 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H203 | zenon_intro zenon_H275 ].
% 49.46/49.65 apply (zenon_L180_); trivial.
% 49.46/49.65 apply (zenon_L206_); trivial.
% 49.46/49.65 (* end of lemma zenon_L779_ *)
% 49.46/49.65 assert (zenon_L780_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (e23) (e23)) = (e20)) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e20) (e20)) = (e22)) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e22)) = (e23)) -> ((op2 (e22) (e23)) = (e22)) -> (~((e21) = (e23))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((e10) = (e11))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (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) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((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 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12))))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e23)) = (e21)) -> (~((e21) = (e22))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e22))) -> (~((e20) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (e21)) = (e20)) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e22) = (e23))) -> ((op2 (e23) (e21)) = (e23)) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> False).
% 49.46/49.65 do 0 intro. intros zenon_H342 zenon_H314 zenon_H2da zenon_H1ec zenon_H2ce zenon_H1f5 zenon_H1d1 zenon_H323 zenon_H1d2 zenon_H1dd zenon_H282 zenon_H307 zenon_H2d4 zenon_H2af zenon_H2ff zenon_H1c9 zenon_H2a5 zenon_H28d zenon_H2db zenon_H2d9 zenon_H30a zenon_H308 zenon_H31c zenon_H2e6 zenon_H301 zenon_H2cf zenon_H2a0 zenon_H31a zenon_H19d zenon_H1ba zenon_H2ed zenon_H328 zenon_H2bc zenon_H285 zenon_H271 zenon_H228 zenon_H1e1 zenon_H298 zenon_H2b9 zenon_H277 zenon_H4f zenon_H113 zenon_H23 zenon_H180 zenon_H187 zenon_H1f zenon_H15f zenon_H16c zenon_H67 zenon_H6c zenon_Hfd zenon_H33 zenon_H18d zenon_H15a zenon_H146 zenon_H151 zenon_Hd9 zenon_H185 zenon_H108 zenon_He0 zenon_H63 zenon_Hc7 zenon_Hea zenon_Hae zenon_H18e zenon_H99 zenon_H96 zenon_H76 zenon_Hd6 zenon_H24 zenon_H20 zenon_H82 zenon_H17a zenon_H190 zenon_H58 zenon_H2d zenon_H15e zenon_H117 zenon_H11d zenon_H13a zenon_H135 zenon_H3a zenon_H11e zenon_H142 zenon_H10b zenon_H7b zenon_H154 zenon_H12b zenon_H8b zenon_H182 zenon_H160 zenon_H111 zenon_H4a zenon_H16b zenon_H43 zenon_H40 zenon_H178 zenon_H16a zenon_H173 zenon_H19 zenon_Hf7 zenon_Hfa zenon_H9e zenon_H155 zenon_H122 zenon_H126 zenon_H13f zenon_H161 zenon_H38e zenon_H391 zenon_H396 zenon_H37b zenon_H377 zenon_H387 zenon_H37f zenon_H422 zenon_H39d zenon_H3b0 zenon_H371 zenon_H362 zenon_H35d zenon_H360 zenon_H36b zenon_H368 zenon_H36e zenon_H365 zenon_H3a9 zenon_H14 zenon_H1fc zenon_H250 zenon_H218 zenon_H25a zenon_H1e6 zenon_H322 zenon_H225 zenon_H210 zenon_H317 zenon_H1f0 zenon_H1a7 zenon_H291 zenon_H2cb zenon_H2c0 zenon_H2fa zenon_H1ad zenon_H1da zenon_H30d zenon_H297 zenon_H33a zenon_H336 zenon_H264 zenon_H1a6 zenon_H241 zenon_H325 zenon_H28b zenon_H256 zenon_H214 zenon_H213 zenon_H31f zenon_H331 zenon_H194 zenon_H29c zenon_H2b4 zenon_H1b4 zenon_H253 zenon_H19b zenon_H19e zenon_H205 zenon_H274.
% 49.46/49.65 apply (zenon_or_s _ _ zenon_H342); [ zenon_intro zenon_H2f1 | zenon_intro zenon_H343 ].
% 49.46/49.65 apply (zenon_L406_); trivial.
% 49.46/49.65 apply (zenon_or_s _ _ zenon_H343); [ zenon_intro zenon_H260 | zenon_intro zenon_H344 ].
% 49.46/49.65 apply (zenon_L359_); trivial.
% 49.46/49.65 apply (zenon_or_s _ _ zenon_H344); [ zenon_intro zenon_H28a | zenon_intro zenon_H206 ].
% 49.46/49.65 apply (zenon_L400_); trivial.
% 49.46/49.65 apply (zenon_L779_); trivial.
% 49.46/49.65 (* end of lemma zenon_L780_ *)
% 49.46/49.65 assert (zenon_L781_ : ((op2 (e21) (e21)) = (e20)) -> ((op2 (e21) (e23)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> ((op2 (e20) (e22)) = (e23)) -> ((op2 (e23) (e23)) = (e20)) -> (~((e10) = (e11))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (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) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((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 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12))))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((e20) = (e23))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((e22) = (e23))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e21) = (e22))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (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) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (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 (e20) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e21)) = (e23)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e22)) = (e21)) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False).
% 49.46/49.65 do 0 intro. intros zenon_H1da zenon_H225 zenon_H1e1 zenon_H271 zenon_H1d1 zenon_H314 zenon_H4f zenon_H113 zenon_H23 zenon_H180 zenon_H187 zenon_H1f zenon_H15f zenon_H16c zenon_H67 zenon_H6c zenon_Hfd zenon_H33 zenon_H18d zenon_H15a zenon_H146 zenon_H151 zenon_Hd9 zenon_H185 zenon_H108 zenon_He0 zenon_H63 zenon_Hc7 zenon_Hea zenon_Hae zenon_H18e zenon_H99 zenon_H96 zenon_H76 zenon_Hd6 zenon_H24 zenon_H20 zenon_H82 zenon_H17a zenon_H190 zenon_H58 zenon_H2d zenon_H15e zenon_H117 zenon_H11d zenon_H13a zenon_H135 zenon_H3a zenon_H11e zenon_H142 zenon_H10b zenon_H7b zenon_H154 zenon_H12b zenon_H8b zenon_H182 zenon_H160 zenon_H111 zenon_H4a zenon_H16b zenon_H43 zenon_H40 zenon_H178 zenon_H16a zenon_H173 zenon_H19 zenon_Hf7 zenon_Hfa zenon_H9e zenon_H155 zenon_H122 zenon_H126 zenon_H13f zenon_H161 zenon_H38e zenon_H391 zenon_H396 zenon_H37b zenon_H377 zenon_H387 zenon_H37f zenon_H422 zenon_H39d zenon_H3b0 zenon_H371 zenon_H362 zenon_H35d zenon_H360 zenon_H36b zenon_H368 zenon_H36e zenon_H365 zenon_H3a9 zenon_H342 zenon_H2f2 zenon_H1d2 zenon_H291 zenon_H2a5 zenon_H297 zenon_H1a7 zenon_H2af zenon_H2d4 zenon_H277 zenon_H1dd zenon_H2ce zenon_H31a zenon_H2a0 zenon_H1c9 zenon_H1f5 zenon_H28b zenon_H2bc zenon_H325 zenon_H210 zenon_H1f0 zenon_H250 zenon_H2b9 zenon_H298 zenon_H2cf zenon_H28d zenon_H2db zenon_H2d9 zenon_H30a zenon_H308 zenon_H30d zenon_H228 zenon_H31c zenon_H317 zenon_H2ff zenon_H253 zenon_H2c0 zenon_H205 zenon_H2cb zenon_H307 zenon_H2e6 zenon_H301 zenon_H282 zenon_H1fc zenon_H19d zenon_H1ba zenon_H285 zenon_H1ec zenon_H2da zenon_H195 zenon_H1ad zenon_H328 zenon_H2ed zenon_H241 zenon_H1a6 zenon_H274 zenon_H264 zenon_H336 zenon_H33a zenon_H218 zenon_H25a zenon_H1e6 zenon_H238 zenon_H322 zenon_H295 zenon_H1c8 zenon_H2fa zenon_H214 zenon_H213 zenon_H31f zenon_H331 zenon_H194 zenon_H29c zenon_H2b4 zenon_H19e zenon_H14 zenon_H19b zenon_H1b4.
% 49.46/49.65 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H20c | zenon_intro zenon_H251 ].
% 49.46/49.65 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H28a | zenon_intro zenon_H326 ].
% 49.46/49.65 apply (zenon_L774_); trivial.
% 49.46/49.65 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H258 | zenon_intro zenon_H327 ].
% 49.46/49.65 apply (zenon_L195_); trivial.
% 49.46/49.65 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H323 | zenon_intro zenon_H242 ].
% 49.46/49.65 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H2b0 ].
% 49.46/49.65 apply (zenon_L160_); trivial.
% 49.46/49.65 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H256 | zenon_intro zenon_H2b1 ].
% 49.46/49.65 apply (zenon_L780_); trivial.
% 49.46/49.65 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H229 | zenon_intro zenon_H2a6 ].
% 49.46/49.65 apply (zenon_L765_); trivial.
% 49.46/49.65 apply (zenon_L432_); trivial.
% 49.46/49.65 apply (zenon_L391_); trivial.
% 49.46/49.65 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H20f | zenon_intro zenon_H252 ].
% 49.46/49.65 apply (zenon_L435_); trivial.
% 49.46/49.65 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H215 | zenon_intro zenon_H242 ].
% 49.46/49.65 apply (zenon_L183_); trivial.
% 49.46/49.65 apply (zenon_L391_); trivial.
% 49.46/49.65 (* end of lemma zenon_L781_ *)
% 49.46/49.65 assert (zenon_L782_ : ((op2 (e20) (e21)) = (e21)) -> ((op2 (e23) (e20)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> ((op2 (e23) (e21)) = (e23)) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e20)) = (e21)) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((e20) = (e23))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e21) = (e22))) -> ((op2 (e21) (e23)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (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 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((h3 (e12)) = (e22)) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (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 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((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) (e10)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (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 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e11))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((e21) = (e23))) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> ((op2 (e20) (e20)) = (e22)) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e23) (e23)) = (e20)) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False).
% 49.46/49.65 do 0 intro. intros zenon_H1c8 zenon_H20c zenon_H274 zenon_H205 zenon_H253 zenon_H213 zenon_H214 zenon_H256 zenon_H28b zenon_H325 zenon_H241 zenon_H1a6 zenon_H264 zenon_H336 zenon_H33a zenon_H297 zenon_H30d zenon_H1da zenon_H1ad zenon_H2fa zenon_H2c0 zenon_H2cb zenon_H291 zenon_H1a7 zenon_H1f0 zenon_H317 zenon_H210 zenon_H225 zenon_H322 zenon_H1e6 zenon_H25a zenon_H218 zenon_H250 zenon_H1fc zenon_H3a9 zenon_H365 zenon_H36e zenon_H368 zenon_H36b zenon_H360 zenon_H35d zenon_H362 zenon_H371 zenon_H3b0 zenon_H39d zenon_H422 zenon_H37f zenon_H387 zenon_H377 zenon_H37b zenon_H396 zenon_H391 zenon_H38e zenon_H161 zenon_H13f zenon_H126 zenon_H122 zenon_H155 zenon_H9e zenon_Hfa zenon_Hf7 zenon_H19 zenon_H173 zenon_H16a zenon_H178 zenon_H40 zenon_H43 zenon_H16b zenon_H4a zenon_H111 zenon_H160 zenon_H182 zenon_H8b zenon_H12b zenon_H154 zenon_H7b zenon_H10b zenon_H142 zenon_H11e zenon_H3a zenon_H135 zenon_H13a zenon_H11d zenon_H117 zenon_H15e zenon_H2d zenon_H58 zenon_H190 zenon_H17a zenon_H82 zenon_H20 zenon_H24 zenon_Hd6 zenon_H76 zenon_H96 zenon_H99 zenon_H18e zenon_Hae zenon_Hea zenon_Hc7 zenon_H63 zenon_He0 zenon_H108 zenon_H185 zenon_Hd9 zenon_H151 zenon_H146 zenon_H15a zenon_H18d zenon_H33 zenon_Hfd zenon_H6c zenon_H67 zenon_H16c zenon_H15f zenon_H1f zenon_H187 zenon_H180 zenon_H23 zenon_H113 zenon_H4f zenon_H277 zenon_H2b9 zenon_H298 zenon_H1e1 zenon_H228 zenon_H271 zenon_H285 zenon_H2bc zenon_H328 zenon_H2ed zenon_H1ba zenon_H19d zenon_H31a zenon_H2a0 zenon_H2cf zenon_H301 zenon_H2e6 zenon_H31c zenon_H308 zenon_H30a zenon_H2d9 zenon_H2db zenon_H28d zenon_H2a5 zenon_H1c9 zenon_H2ff zenon_H2af zenon_H2d4 zenon_H307 zenon_H282 zenon_H1dd zenon_H1d2 zenon_H1d1 zenon_H1f5 zenon_H2ce zenon_H1ec zenon_H2da zenon_H314 zenon_H342 zenon_H31f zenon_H331 zenon_H194 zenon_H29c zenon_H2b4 zenon_H19e zenon_H14 zenon_H19b zenon_H1b4.
% 49.46/49.65 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H28a | zenon_intro zenon_H326 ].
% 49.46/49.65 apply (zenon_L774_); trivial.
% 49.46/49.65 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H258 | zenon_intro zenon_H327 ].
% 49.46/49.65 apply (zenon_L195_); trivial.
% 49.46/49.65 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H323 | zenon_intro zenon_H242 ].
% 49.46/49.65 apply (zenon_L780_); trivial.
% 49.46/49.65 apply (zenon_L391_); trivial.
% 49.46/49.65 (* end of lemma zenon_L782_ *)
% 49.46/49.65 assert (zenon_L783_ : (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> (~((e20) = (e23))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e10) = (e11))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (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) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((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 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12))))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (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)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e20) = (e21))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((e20) = (e22))) -> (~((e21) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((e21) = (e22))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False).
% 49.46/49.65 do 0 intro. intros zenon_H241 zenon_H274 zenon_H28a zenon_H264 zenon_H336 zenon_H33a zenon_H297 zenon_H1d1 zenon_H1a7 zenon_H2af zenon_H301 zenon_H317 zenon_H331 zenon_H194 zenon_H291 zenon_H30d zenon_H2fa zenon_H2c0 zenon_H28b zenon_H2cb zenon_H4f zenon_H113 zenon_H23 zenon_H180 zenon_H187 zenon_H1f zenon_H15f zenon_H16c zenon_H67 zenon_H6c zenon_Hfd zenon_H33 zenon_H18d zenon_H15a zenon_H146 zenon_H151 zenon_Hd9 zenon_H185 zenon_H108 zenon_He0 zenon_H63 zenon_Hc7 zenon_Hea zenon_Hae zenon_H18e zenon_H99 zenon_H96 zenon_H76 zenon_Hd6 zenon_H24 zenon_H20 zenon_H82 zenon_H17a zenon_H190 zenon_H58 zenon_H2d zenon_H15e zenon_H117 zenon_H11d zenon_H13a zenon_H135 zenon_H3a zenon_H11e zenon_H142 zenon_H10b zenon_H7b zenon_H154 zenon_H12b zenon_H8b zenon_H182 zenon_H160 zenon_H111 zenon_H4a zenon_H16b zenon_H43 zenon_H40 zenon_H178 zenon_H16a zenon_H173 zenon_H19 zenon_Hf7 zenon_Hfa zenon_H9e zenon_H155 zenon_H122 zenon_H126 zenon_H13f zenon_H161 zenon_H38e zenon_H391 zenon_H396 zenon_H37b zenon_H377 zenon_H387 zenon_H37f zenon_H422 zenon_H39d zenon_H3b0 zenon_H371 zenon_H362 zenon_H35d zenon_H360 zenon_H36b zenon_H368 zenon_H36e zenon_H365 zenon_H3a9 zenon_H2e4 zenon_H195 zenon_H1bd zenon_H2e5 zenon_H1c4 zenon_H253 zenon_H228 zenon_H271 zenon_H2e6 zenon_H1e1 zenon_H2d8 zenon_H1ba zenon_H218 zenon_H2cf zenon_H29c zenon_H2a0 zenon_H298 zenon_H285 zenon_H2b9 zenon_H2bc zenon_H1f5 zenon_H2ce zenon_H1dd zenon_H277 zenon_H1e6 zenon_H2b4 zenon_H2a5 zenon_H2d4 zenon_H282 zenon_H25a zenon_H213 zenon_H250 zenon_H1fc zenon_H2d9 zenon_H1c9 zenon_H2da zenon_H205 zenon_H2db zenon_H1f0 zenon_H1d2 zenon_H19d zenon_H28d zenon_H210 zenon_H30a zenon_H1ad zenon_H19e zenon_H14 zenon_H19b zenon_H1b4.
% 49.46/49.65 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ].
% 49.46/49.65 apply (zenon_L156_); trivial.
% 49.46/49.65 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ].
% 49.46/49.65 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H193 | zenon_intro zenon_H30b ].
% 49.46/49.65 apply (zenon_L262_); trivial.
% 49.46/49.65 apply (zenon_or_s _ _ zenon_H30b); [ zenon_intro zenon_H1da | zenon_intro zenon_H30c ].
% 49.46/49.65 apply (zenon_L773_); trivial.
% 49.46/49.65 apply (zenon_or_s _ _ zenon_H30c); [ zenon_intro zenon_H302 | zenon_intro zenon_H305 ].
% 49.46/49.65 apply (zenon_L292_); trivial.
% 49.46/49.65 apply (zenon_L418_); trivial.
% 49.46/49.65 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ].
% 49.46/49.65 apply (zenon_L159_); trivial.
% 49.46/49.65 apply (zenon_L160_); trivial.
% 49.46/49.65 (* end of lemma zenon_L783_ *)
% 49.46/49.65 assert (zenon_L784_ : (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e21)) = (e20)) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e22)) = (e21)) -> (~((e20) = (e22))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e10) = (e11))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (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) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((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 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12))))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (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)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (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 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((e21) = (e22))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e21) = (e23))) -> (~((e20) = (e21))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False).
% 49.46/49.65 do 0 intro. intros zenon_H1b4 zenon_H2b4 zenon_H29c zenon_H2fa zenon_H305 zenon_H31f zenon_H2af zenon_H1a7 zenon_H308 zenon_H322 zenon_H295 zenon_H1f0 zenon_H241 zenon_H274 zenon_H336 zenon_H33a zenon_H297 zenon_H301 zenon_H317 zenon_H331 zenon_H194 zenon_H291 zenon_H30d zenon_H2c0 zenon_H28b zenon_H2cb zenon_H4f zenon_H113 zenon_H23 zenon_H180 zenon_H187 zenon_H1f zenon_H15f zenon_H16c zenon_H67 zenon_H6c zenon_Hfd zenon_H33 zenon_H18d zenon_H15a zenon_H146 zenon_H151 zenon_Hd9 zenon_H185 zenon_H108 zenon_He0 zenon_H63 zenon_Hc7 zenon_Hea zenon_Hae zenon_H18e zenon_H99 zenon_H96 zenon_H76 zenon_Hd6 zenon_H24 zenon_H20 zenon_H82 zenon_H17a zenon_H190 zenon_H58 zenon_H2d zenon_H15e zenon_H117 zenon_H11d zenon_H13a zenon_H135 zenon_H3a zenon_H11e zenon_H142 zenon_H10b zenon_H7b zenon_H154 zenon_H12b zenon_H8b zenon_H182 zenon_H160 zenon_H111 zenon_H4a zenon_H16b zenon_H43 zenon_H40 zenon_H178 zenon_H16a zenon_H173 zenon_H19 zenon_Hf7 zenon_Hfa zenon_H9e zenon_H155 zenon_H122 zenon_H126 zenon_H13f zenon_H161 zenon_H38e zenon_H391 zenon_H396 zenon_H37b zenon_H377 zenon_H387 zenon_H37f zenon_H422 zenon_H39d zenon_H3b0 zenon_H371 zenon_H362 zenon_H35d zenon_H360 zenon_H36b zenon_H368 zenon_H36e zenon_H365 zenon_H3a9 zenon_H2e4 zenon_H195 zenon_H1bd zenon_H2e5 zenon_H1c4 zenon_H253 zenon_H2e6 zenon_H1e1 zenon_H2d8 zenon_H1ba zenon_H2cf zenon_H2a0 zenon_H298 zenon_H285 zenon_H2b9 zenon_H2bc zenon_H1f5 zenon_H2ce zenon_H1dd zenon_H277 zenon_H2a5 zenon_H2d4 zenon_H282 zenon_H213 zenon_H250 zenon_H2d9 zenon_H2da zenon_H2db zenon_H19d zenon_H28d zenon_H210 zenon_H30a zenon_H1ad zenon_H325 zenon_H1fc zenon_H205 zenon_H271 zenon_H1d2 zenon_H1c9 zenon_H261 zenon_H264 zenon_H19b zenon_H218 zenon_H206 zenon_H25a zenon_H214 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H228.
% 49.46/49.65 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H254 ].
% 49.46/49.65 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H260 | zenon_intro zenon_H272 ].
% 49.46/49.65 apply (zenon_L369_); trivial.
% 49.46/49.65 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H225 | zenon_intro zenon_H273 ].
% 49.46/49.65 apply (zenon_L199_); trivial.
% 49.46/49.65 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H263 | zenon_intro zenon_H26d ].
% 49.46/49.65 apply (zenon_L200_); trivial.
% 49.46/49.65 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H28a | zenon_intro zenon_H326 ].
% 49.46/49.65 apply (zenon_L783_); trivial.
% 49.46/49.65 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H258 | zenon_intro zenon_H327 ].
% 49.46/49.65 apply (zenon_L336_); trivial.
% 49.46/49.65 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H323 | zenon_intro zenon_H242 ].
% 49.46/49.65 apply (zenon_L451_); trivial.
% 49.46/49.65 apply (zenon_L339_); trivial.
% 49.46/49.65 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1fb | zenon_intro zenon_H255 ].
% 49.46/49.65 apply (zenon_L178_); trivial.
% 49.46/49.65 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H203 | zenon_intro zenon_H229 ].
% 49.46/49.65 apply (zenon_L180_); trivial.
% 49.46/49.65 apply (zenon_L204_); trivial.
% 49.46/49.65 (* end of lemma zenon_L784_ *)
% 49.46/49.65 assert (zenon_L785_ : ((op2 (e23) (e23)) = (e20)) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e22) (e22)) = (op2 (h3 (e13)) (h3 (e13))))) -> False).
% 49.46/49.65 do 0 intro. intros zenon_H314 zenon_H39d zenon_H19e zenon_H14 zenon_H427.
% 49.46/49.65 elim (classic ((op2 (h3 (e13)) (h3 (e13))) = (op2 (h3 (e13)) (h3 (e13))))); [ zenon_intro zenon_H428 | zenon_intro zenon_H429 ].
% 49.46/49.65 cut (((op2 (h3 (e13)) (h3 (e13))) = (op2 (h3 (e13)) (h3 (e13)))) = ((op2 (e22) (e22)) = (op2 (h3 (e13)) (h3 (e13))))).
% 49.46/49.65 intro zenon_D_pnotp.
% 49.46/49.65 apply zenon_H427.
% 49.46/49.65 rewrite <- zenon_D_pnotp.
% 49.46/49.65 exact zenon_H428.
% 49.46/49.65 cut (((op2 (h3 (e13)) (h3 (e13))) = (op2 (h3 (e13)) (h3 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H429].
% 49.46/49.65 cut (((op2 (h3 (e13)) (h3 (e13))) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H42a].
% 49.46/49.65 congruence.
% 49.46/49.65 cut (((op2 (e23) (e23)) = (e20)) = ((op2 (h3 (e13)) (h3 (e13))) = (op2 (e22) (e22)))).
% 49.46/49.65 intro zenon_D_pnotp.
% 49.46/49.65 apply zenon_H42a.
% 49.46/49.65 rewrite <- zenon_D_pnotp.
% 49.46/49.65 exact zenon_H314.
% 49.46/49.65 cut (((e20) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H3c9].
% 49.46/49.65 cut (((op2 (e23) (e23)) = (op2 (h3 (e13)) (h3 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H42b].
% 49.46/49.65 congruence.
% 49.46/49.65 elim (classic ((op2 (h3 (e13)) (h3 (e13))) = (op2 (h3 (e13)) (h3 (e13))))); [ zenon_intro zenon_H428 | zenon_intro zenon_H429 ].
% 49.46/49.65 cut (((op2 (h3 (e13)) (h3 (e13))) = (op2 (h3 (e13)) (h3 (e13)))) = ((op2 (e23) (e23)) = (op2 (h3 (e13)) (h3 (e13))))).
% 49.46/49.65 intro zenon_D_pnotp.
% 49.46/49.65 apply zenon_H42b.
% 49.46/49.65 rewrite <- zenon_D_pnotp.
% 49.46/49.65 exact zenon_H428.
% 49.46/49.65 cut (((op2 (h3 (e13)) (h3 (e13))) = (op2 (h3 (e13)) (h3 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H429].
% 49.46/49.65 cut (((op2 (h3 (e13)) (h3 (e13))) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H42c].
% 49.46/49.65 congruence.
% 49.46/49.65 cut (((h3 (e13)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H3ac].
% 49.46/49.65 cut (((h3 (e13)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H3ac].
% 49.46/49.65 congruence.
% 49.46/49.65 apply (zenon_L656_); trivial.
% 49.46/49.65 apply (zenon_L656_); trivial.
% 49.46/49.65 apply zenon_H429. apply refl_equal.
% 49.46/49.65 apply zenon_H429. apply refl_equal.
% 49.46/49.65 exact (zenon_H3c9 zenon_H14).
% 49.46/49.65 apply zenon_H429. apply refl_equal.
% 49.46/49.65 apply zenon_H429. apply refl_equal.
% 49.46/49.65 (* end of lemma zenon_L785_ *)
% 49.46/49.65 assert (zenon_L786_ : (~((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13))))) -> ((h3 (e10)) = (op2 (e22) (e22))) -> ((op1 (e13) (e13)) = (e10)) -> ((op2 (e23) (e23)) = (e20)) -> ((e20) = (op2 (e22) (e22))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> False).
% 49.46/49.65 do 0 intro. intros zenon_H42d zenon_H13 zenon_H35a zenon_H314 zenon_H14 zenon_H39d zenon_H19e.
% 49.46/49.65 cut (((h3 (e10)) = (op2 (e22) (e22))) = ((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13))))).
% 49.46/49.65 intro zenon_D_pnotp.
% 49.46/49.65 apply zenon_H42d.
% 49.46/49.65 rewrite <- zenon_D_pnotp.
% 49.46/49.65 exact zenon_H13.
% 49.46/49.65 cut (((op2 (e22) (e22)) = (op2 (h3 (e13)) (h3 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H427].
% 49.46/49.65 cut (((h3 (e10)) = (h3 (op1 (e13) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H42e].
% 49.46/49.65 congruence.
% 49.46/49.65 elim (classic ((h3 (op1 (e13) (e13))) = (h3 (op1 (e13) (e13))))); [ zenon_intro zenon_H42f | zenon_intro zenon_H430 ].
% 49.46/49.65 cut (((h3 (op1 (e13) (e13))) = (h3 (op1 (e13) (e13)))) = ((h3 (e10)) = (h3 (op1 (e13) (e13))))).
% 49.46/49.65 intro zenon_D_pnotp.
% 49.46/49.65 apply zenon_H42e.
% 49.46/49.65 rewrite <- zenon_D_pnotp.
% 49.46/49.65 exact zenon_H42f.
% 49.46/49.65 cut (((h3 (op1 (e13) (e13))) = (h3 (op1 (e13) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H430].
% 49.46/49.65 cut (((h3 (op1 (e13) (e13))) = (h3 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H431].
% 49.46/49.65 congruence.
% 49.46/49.65 cut (((op1 (e13) (e13)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H432].
% 49.46/49.65 congruence.
% 49.46/49.65 exact (zenon_H432 zenon_H35a).
% 49.46/49.65 apply zenon_H430. apply refl_equal.
% 49.46/49.65 apply zenon_H430. apply refl_equal.
% 49.46/49.65 apply (zenon_L785_); trivial.
% 49.46/49.65 (* end of lemma zenon_L786_ *)
% 49.46/49.65 assert (zenon_L787_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((e10) = (e13))) -> ((op1 (e13) (e11)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (~((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13))))) -> ((h3 (e10)) = (op2 (e22) (e22))) -> ((op2 (e23) (e23)) = (e20)) -> ((e20) = (op2 (e22) (e22))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> False).
% 49.46/49.65 do 0 intro. intros zenon_H35d zenon_H377 zenon_H18 zenon_H2d zenon_Hdc zenon_H117 zenon_H1f zenon_H42d zenon_H13 zenon_H314 zenon_H14 zenon_H39d zenon_H19e.
% 49.46/49.65 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_H91 | zenon_intro zenon_H35e ].
% 49.46/49.65 apply (zenon_L552_); trivial.
% 49.46/49.65 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H18b | zenon_intro zenon_H35f ].
% 49.46/49.65 apply (zenon_L504_); trivial.
% 49.46/49.65 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H116 | zenon_intro zenon_H35a ].
% 49.46/49.65 apply (zenon_L65_); trivial.
% 49.46/49.65 apply (zenon_L786_); trivial.
% 49.46/49.65 (* end of lemma zenon_L787_ *)
% 49.46/49.65 assert (zenon_L788_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e23) (e23)) = (e20)) -> ((h3 (e10)) = (op2 (e22) (e22))) -> (~((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13))))) -> (~((e10) = (e13))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e12)) -> False).
% 49.46/49.65 do 0 intro. intros zenon_H135 zenon_H3a zenon_H19e zenon_H39d zenon_H14 zenon_H314 zenon_H13 zenon_H42d zenon_H2d zenon_H18 zenon_H377 zenon_H35d zenon_H57 zenon_H11d zenon_H38e zenon_H8b zenon_H12b zenon_Hc7 zenon_H20 zenon_H2c zenon_Hfa zenon_Hea zenon_H37f zenon_H387 zenon_H9e zenon_He7 zenon_H13a zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_H117 zenon_H9b.
% 49.46/49.65 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H39 | zenon_intro zenon_H136 ].
% 49.46/49.65 apply (zenon_L8_); trivial.
% 49.46/49.65 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hdc | zenon_intro zenon_H137 ].
% 49.46/49.65 apply (zenon_L787_); trivial.
% 49.46/49.65 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Haf | zenon_intro zenon_H12c ].
% 49.46/49.65 apply (zenon_L67_); trivial.
% 49.46/49.65 apply (zenon_L584_); trivial.
% 49.46/49.65 (* end of lemma zenon_L788_ *)
% 49.46/49.65 assert (zenon_L789_ : (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e11)) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e23) (e23)) = (e20)) -> ((h3 (e10)) = (op2 (e22) (e22))) -> (~((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13))))) -> (~((e10) = (e13))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> False).
% 49.46/49.65 do 0 intro. intros zenon_H10b zenon_H111 zenon_H99 zenon_H64 zenon_H11e zenon_H63 zenon_H135 zenon_H3a zenon_H19e zenon_H39d zenon_H14 zenon_H314 zenon_H13 zenon_H42d zenon_H2d zenon_H18 zenon_H377 zenon_H35d zenon_H57 zenon_H11d zenon_H38e zenon_H8b zenon_H12b zenon_Hc7 zenon_H20 zenon_H2c zenon_Hfa zenon_Hea zenon_H37f zenon_H387 zenon_H9e zenon_He7 zenon_H13a zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_H117.
% 49.46/49.65 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_He4 | zenon_intro zenon_H10c ].
% 49.46/49.65 apply (zenon_L69_); trivial.
% 49.46/49.65 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H9a | zenon_intro zenon_H10d ].
% 49.46/49.65 apply (zenon_L68_); trivial.
% 49.46/49.65 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H101 | zenon_intro zenon_H9b ].
% 49.46/49.65 apply (zenon_L57_); trivial.
% 49.46/49.65 apply (zenon_L788_); trivial.
% 49.46/49.65 (* end of lemma zenon_L789_ *)
% 49.46/49.65 assert (zenon_L790_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> (~((e10) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (~((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13))))) -> ((h3 (e10)) = (op2 (e22) (e22))) -> ((op2 (e23) (e23)) = (e20)) -> ((e20) = (op2 (e22) (e22))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> False).
% 49.46/49.65 do 0 intro. intros zenon_H35d zenon_H76 zenon_H92 zenon_Hc7 zenon_H20 zenon_H2c zenon_H24 zenon_Hfa zenon_H110 zenon_Hea zenon_H37f zenon_H387 zenon_H11d zenon_H57 zenon_H2d zenon_H3a zenon_H135 zenon_H117 zenon_H1f zenon_H42d zenon_H13 zenon_H314 zenon_H14 zenon_H39d zenon_H19e.
% 49.46/49.65 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_H91 | zenon_intro zenon_H35e ].
% 49.46/49.65 apply (zenon_L29_); trivial.
% 49.46/49.65 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H18b | zenon_intro zenon_H35f ].
% 49.46/49.65 apply (zenon_L561_); trivial.
% 49.46/49.65 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H116 | zenon_intro zenon_H35a ].
% 49.46/49.65 apply (zenon_L65_); trivial.
% 49.46/49.65 apply (zenon_L786_); trivial.
% 49.46/49.65 (* end of lemma zenon_L790_ *)
% 49.46/49.65 assert (zenon_L791_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e11)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (~((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13))))) -> ((h3 (e10)) = (op2 (e22) (e22))) -> ((op2 (e23) (e23)) = (e20)) -> ((e20) = (op2 (e22) (e22))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> False).
% 49.46/49.65 do 0 intro. intros zenon_H35d zenon_H377 zenon_H18 zenon_H3a zenon_H20 zenon_H24 zenon_H180 zenon_H95 zenon_H122 zenon_H365 zenon_H117 zenon_H1f zenon_H42d zenon_H13 zenon_H314 zenon_H14 zenon_H39d zenon_H19e.
% 49.46/49.65 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_H91 | zenon_intro zenon_H35e ].
% 49.46/49.65 apply (zenon_L552_); trivial.
% 49.46/49.65 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H18b | zenon_intro zenon_H35f ].
% 49.46/49.65 apply (zenon_L717_); trivial.
% 49.46/49.65 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H116 | zenon_intro zenon_H35a ].
% 49.46/49.65 apply (zenon_L65_); trivial.
% 49.46/49.65 apply (zenon_L786_); trivial.
% 49.46/49.65 (* end of lemma zenon_L791_ *)
% 49.46/49.65 assert (zenon_L792_ : ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e23) (e23)) = (e20)) -> ((h3 (e10)) = (op2 (e22) (e22))) -> (~((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13))))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((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) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (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 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> ((op1 (e13) (e11)) = (e10)) -> (~((e10) = (e13))) -> False).
% 49.46/49.65 do 0 intro. intros zenon_H4e zenon_H3a zenon_H20 zenon_H1f zenon_H24 zenon_H13a zenon_H122 zenon_H180 zenon_H365 zenon_H135 zenon_H19e zenon_H39d zenon_H14 zenon_H314 zenon_H13 zenon_H42d zenon_H18 zenon_H377 zenon_H35d zenon_H57 zenon_H11d zenon_H38e zenon_H8b zenon_H12b zenon_Hc7 zenon_H2c zenon_Hfa zenon_Hea zenon_H37f zenon_H387 zenon_H9e zenon_He7 zenon_H6c zenon_H117 zenon_H36b zenon_H368 zenon_H16a zenon_H178 zenon_H40 zenon_H43 zenon_H16b zenon_H4a zenon_H111 zenon_H160 zenon_H182 zenon_H154 zenon_H7b zenon_H10b zenon_H142 zenon_H11e zenon_H15e zenon_H58 zenon_H190 zenon_H17a zenon_H82 zenon_Hd6 zenon_H76 zenon_H96 zenon_H99 zenon_H18e zenon_Hae zenon_H63 zenon_He0 zenon_H108 zenon_H185 zenon_Hd9 zenon_H151 zenon_H146 zenon_H15a zenon_H18d zenon_H33 zenon_Hfd zenon_H67 zenon_H16c zenon_H15f zenon_H187 zenon_H23 zenon_H113 zenon_H4f zenon_H13f zenon_H155 zenon_H18b zenon_H2d.
% 49.46/49.65 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ].
% 49.46/49.65 apply (zenon_L113_); trivial.
% 49.46/49.65 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ].
% 49.46/49.65 apply (zenon_L25_); trivial.
% 49.46/49.65 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ].
% 49.46/49.65 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H56 | zenon_intro zenon_H158 ].
% 49.46/49.65 apply (zenon_L17_); trivial.
% 49.46/49.65 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H64 | zenon_intro zenon_H159 ].
% 49.46/49.65 apply (zenon_L789_); trivial.
% 49.46/49.65 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H13d | zenon_intro zenon_H11b ].
% 49.46/49.65 apply (zenon_L88_); trivial.
% 49.46/49.65 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H92 | zenon_intro zenon_Hd7 ].
% 49.46/49.65 apply (zenon_or_s _ _ zenon_H36b); [ zenon_intro zenon_H110 | zenon_intro zenon_H36c ].
% 49.46/49.65 apply (zenon_L790_); trivial.
% 49.46/49.65 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_Hde | zenon_intro zenon_H36d ].
% 49.46/49.65 apply (zenon_L505_); trivial.
% 49.46/49.65 apply (zenon_or_s _ _ zenon_H36d); [ zenon_intro zenon_H369 | zenon_intro zenon_Hc8 ].
% 49.46/49.65 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H39 | zenon_intro zenon_H136 ].
% 49.46/49.65 apply (zenon_L8_); trivial.
% 49.46/49.65 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hdc | zenon_intro zenon_H137 ].
% 49.46/49.65 apply (zenon_L787_); trivial.
% 49.46/49.65 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Haf | zenon_intro zenon_H12c ].
% 49.46/49.65 apply (zenon_L67_); trivial.
% 49.46/49.65 apply (zenon_L601_); trivial.
% 49.46/49.65 apply (zenon_L507_); trivial.
% 49.46/49.65 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H95 | zenon_intro zenon_Hd8 ].
% 49.46/49.65 apply (zenon_L791_); trivial.
% 49.46/49.65 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hc8 ].
% 49.46/49.65 apply (zenon_L788_); trivial.
% 49.46/49.65 apply (zenon_L508_); trivial.
% 49.46/49.65 apply (zenon_L504_); trivial.
% 49.46/49.65 (* end of lemma zenon_L792_ *)
% 49.46/49.65 assert (zenon_L793_ : (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((e10) = (e11))) -> ((op1 (e13) (e11)) = (e10)) -> ((op1 (e11) (e12)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e13)) -> False).
% 49.46/49.65 do 0 intro. intros zenon_H126 zenon_H122 zenon_H20 zenon_H4f zenon_H18b zenon_H64 zenon_H99 zenon_H9e zenon_H8c zenon_He7 zenon_H18e zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_Hae zenon_Haf.
% 49.46/49.65 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H121 | zenon_intro zenon_H127 ].
% 49.46/49.65 apply (zenon_L70_); trivial.
% 49.46/49.65 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H94 | zenon_intro zenon_H128 ].
% 49.46/49.65 apply (zenon_L481_); trivial.
% 49.46/49.65 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H11b | zenon_intro zenon_Hf3 ].
% 49.46/49.65 apply (zenon_L66_); trivial.
% 49.46/49.65 apply (zenon_L570_); trivial.
% 49.46/49.65 (* end of lemma zenon_L793_ *)
% 49.46/49.65 assert (zenon_L794_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((e10) = (e11))) -> ((op1 (e11) (e12)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e13)) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (~((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13))))) -> ((h3 (e10)) = (op2 (e22) (e22))) -> ((op2 (e23) (e23)) = (e20)) -> ((e20) = (op2 (e22) (e22))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> False).
% 49.46/49.65 do 0 intro. intros zenon_H35d zenon_H377 zenon_H37f zenon_H126 zenon_H122 zenon_H20 zenon_H4f zenon_H64 zenon_H99 zenon_H9e zenon_H8c zenon_H18e zenon_H6c zenon_Hbe zenon_H24 zenon_Hae zenon_Haf zenon_H18 zenon_H178 zenon_H391 zenon_H117 zenon_H1f zenon_H42d zenon_H13 zenon_H314 zenon_H14 zenon_H39d zenon_H19e.
% 49.46/49.65 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_H91 | zenon_intro zenon_H35e ].
% 49.46/49.65 apply (zenon_L552_); trivial.
% 49.46/49.65 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H18b | zenon_intro zenon_H35f ].
% 49.46/49.65 apply (zenon_or_s _ _ zenon_H391); [ zenon_intro zenon_H177 | zenon_intro zenon_H392 ].
% 49.46/49.65 apply (zenon_L112_); trivial.
% 49.46/49.65 apply (zenon_or_s _ _ zenon_H392); [ zenon_intro zenon_He7 | zenon_intro zenon_H393 ].
% 49.46/49.65 apply (zenon_L793_); trivial.
% 49.46/49.65 apply (zenon_or_s _ _ zenon_H393); [ zenon_intro zenon_H37e | zenon_intro zenon_H35a ].
% 49.46/49.65 apply (zenon_L557_); trivial.
% 49.46/49.65 apply (zenon_L786_); trivial.
% 49.46/49.65 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H116 | zenon_intro zenon_H35a ].
% 49.46/49.65 apply (zenon_L65_); trivial.
% 49.46/49.65 apply (zenon_L786_); trivial.
% 49.46/49.65 (* end of lemma zenon_L794_ *)
% 49.46/49.65 assert (zenon_L795_ : (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((e10) = (e11))) -> ((op1 (e11) (e12)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (~((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13))))) -> ((h3 (e10)) = (op2 (e22) (e22))) -> ((op2 (e23) (e23)) = (e20)) -> ((e20) = (op2 (e22) (e22))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> False).
% 49.46/49.65 do 0 intro. intros zenon_Hd9 zenon_H11d zenon_H9a zenon_H11e zenon_H82 zenon_H8b zenon_H35d zenon_H377 zenon_H37f zenon_H126 zenon_H122 zenon_H20 zenon_H4f zenon_H64 zenon_H99 zenon_H9e zenon_H8c zenon_H18e zenon_H6c zenon_Hbe zenon_H24 zenon_Hae zenon_H18 zenon_H178 zenon_H391 zenon_H117 zenon_H1f zenon_H42d zenon_H13 zenon_H314 zenon_H14 zenon_H39d zenon_H19e.
% 49.46/49.65 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H57 | zenon_intro zenon_Hda ].
% 49.46/49.65 apply (zenon_L68_); trivial.
% 49.46/49.65 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H81 | zenon_intro zenon_Hdb ].
% 49.46/49.65 apply (zenon_L26_); trivial.
% 49.46/49.65 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H89 | zenon_intro zenon_Haf ].
% 49.46/49.65 apply (zenon_L28_); trivial.
% 49.46/49.65 apply (zenon_L794_); trivial.
% 49.46/49.65 (* end of lemma zenon_L795_ *)
% 49.46/49.65 assert (zenon_L796_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e13))) -> ((op1 (e10) (e11)) = (e11)) -> (~((e11) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e12) (e11)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e13)) = (e13)) -> (~((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 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e13) (e11)) = (e10)) -> (~((e10) = (e11))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> (~((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13))))) -> ((h3 (e10)) = (op2 (e22) (e22))) -> ((op2 (e23) (e23)) = (e20)) -> ((e20) = (op2 (e22) (e22))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> False).
% 49.46/49.65 do 0 intro. intros zenon_H391 zenon_H2d zenon_H4e zenon_H58 zenon_H23 zenon_H113 zenon_Hae zenon_H24 zenon_Hbe zenon_H6c zenon_H18e zenon_H8c zenon_H9e zenon_H108 zenon_He0 zenon_H99 zenon_He4 zenon_H63 zenon_H20 zenon_H82 zenon_H18b zenon_H4f zenon_H122 zenon_H126 zenon_H8b zenon_H111 zenon_Hd9 zenon_H37f zenon_H1f zenon_H42d zenon_H13 zenon_H314 zenon_H14 zenon_H39d zenon_H19e.
% 49.46/49.65 apply (zenon_or_s _ _ zenon_H391); [ zenon_intro zenon_H177 | zenon_intro zenon_H392 ].
% 49.46/49.65 apply (zenon_L138_); trivial.
% 49.46/49.65 apply (zenon_or_s _ _ zenon_H392); [ zenon_intro zenon_He7 | zenon_intro zenon_H393 ].
% 49.46/49.65 apply (zenon_L577_); trivial.
% 49.46/49.65 apply (zenon_or_s _ _ zenon_H393); [ zenon_intro zenon_H37e | zenon_intro zenon_H35a ].
% 49.46/49.65 apply (zenon_L557_); trivial.
% 49.46/49.65 apply (zenon_L786_); trivial.
% 49.46/49.65 (* end of lemma zenon_L796_ *)
% 49.46/49.65 assert (zenon_L797_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((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 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e13) (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) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((e11) = (e13))) -> ((op1 (e10) (e11)) = (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)))) -> ((e10) = (op1 (e12) (e12))) -> (~((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13))))) -> ((h3 (e10)) = (op2 (e22) (e22))) -> ((op2 (e23) (e23)) = (e20)) -> ((e20) = (op2 (e22) (e22))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> False).
% 49.46/49.65 do 0 intro. intros zenon_H35d zenon_H377 zenon_H18 zenon_H37f zenon_Hd9 zenon_H111 zenon_H8b zenon_H126 zenon_H122 zenon_H4f zenon_H82 zenon_H20 zenon_H63 zenon_He4 zenon_H99 zenon_He0 zenon_H108 zenon_H9e zenon_H8c zenon_H18e zenon_H6c zenon_Hbe zenon_H24 zenon_Hae zenon_H113 zenon_H23 zenon_H58 zenon_H4e zenon_H2d zenon_H391 zenon_H117 zenon_H1f zenon_H42d zenon_H13 zenon_H314 zenon_H14 zenon_H39d zenon_H19e.
% 49.46/49.65 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_H91 | zenon_intro zenon_H35e ].
% 49.46/49.65 apply (zenon_L552_); trivial.
% 49.46/49.65 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H18b | zenon_intro zenon_H35f ].
% 49.46/49.65 apply (zenon_L796_); trivial.
% 49.46/49.65 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H116 | zenon_intro zenon_H35a ].
% 49.46/49.65 apply (zenon_L65_); trivial.
% 49.46/49.65 apply (zenon_L786_); trivial.
% 49.46/49.65 (* end of lemma zenon_L797_ *)
% 49.46/49.65 assert (zenon_L798_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> ((op1 (e13) (e12)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e12) (e11)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e13)) = (e10)) -> ((op1 (e10) (e13)) = (e13)) -> (~((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 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (~((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13))))) -> ((h3 (e10)) = (op2 (e22) (e22))) -> ((op2 (e23) (e23)) = (e20)) -> ((e20) = (op2 (e22) (e22))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> False).
% 49.46/49.65 do 0 intro. intros zenon_H35d zenon_H377 zenon_H18 zenon_Haf zenon_Hae zenon_H24 zenon_Hbe zenon_H6c zenon_H18e zenon_He7 zenon_H8c zenon_H9e zenon_H108 zenon_He0 zenon_H99 zenon_He4 zenon_H63 zenon_H20 zenon_H82 zenon_H4f zenon_H122 zenon_H126 zenon_H117 zenon_H1f zenon_H42d zenon_H13 zenon_H314 zenon_H14 zenon_H39d zenon_H19e.
% 49.46/49.65 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_H91 | zenon_intro zenon_H35e ].
% 49.46/49.65 apply (zenon_L552_); trivial.
% 49.46/49.65 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H18b | zenon_intro zenon_H35f ].
% 49.46/49.65 apply (zenon_L576_); trivial.
% 49.46/49.65 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H116 | zenon_intro zenon_H35a ].
% 49.46/49.65 apply (zenon_L65_); trivial.
% 49.46/49.65 apply (zenon_L786_); trivial.
% 49.46/49.65 (* end of lemma zenon_L798_ *)
% 49.46/49.65 assert (zenon_L799_ : (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e12) (e11)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e13)) = (e10)) -> ((op1 (e10) (e13)) = (e13)) -> (~((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 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (~((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13))))) -> ((h3 (e10)) = (op2 (e22) (e22))) -> ((op2 (e23) (e23)) = (e20)) -> ((e20) = (op2 (e22) (e22))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> False).
% 49.46/49.65 do 0 intro. intros zenon_Hd9 zenon_H111 zenon_H8b zenon_H35d zenon_H377 zenon_H18 zenon_Hae zenon_H24 zenon_Hbe zenon_H6c zenon_H18e zenon_He7 zenon_H8c zenon_H9e zenon_H108 zenon_He0 zenon_H99 zenon_He4 zenon_H63 zenon_H20 zenon_H82 zenon_H4f zenon_H122 zenon_H126 zenon_H117 zenon_H1f zenon_H42d zenon_H13 zenon_H314 zenon_H14 zenon_H39d zenon_H19e.
% 49.46/49.65 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H57 | zenon_intro zenon_Hda ].
% 49.46/49.65 apply (zenon_L69_); trivial.
% 49.46/49.65 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H81 | zenon_intro zenon_Hdb ].
% 49.46/49.65 apply (zenon_L26_); trivial.
% 49.46/49.65 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H89 | zenon_intro zenon_Haf ].
% 49.46/49.65 apply (zenon_L28_); trivial.
% 49.46/49.65 apply (zenon_L798_); trivial.
% 49.46/49.65 (* end of lemma zenon_L799_ *)
% 49.46/49.65 assert (zenon_L800_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e23) (e23)) = (e20)) -> ((h3 (e10)) = (op2 (e22) (e22))) -> (~((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13))))) -> (~((e10) = (e13))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e13) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e12)) -> False).
% 49.46/49.65 do 0 intro. intros zenon_H135 zenon_H3a zenon_H20 zenon_H19e zenon_H39d zenon_H14 zenon_H314 zenon_H13 zenon_H42d zenon_H2d zenon_H18 zenon_H377 zenon_H35d zenon_Hf3 zenon_Hae zenon_H18e zenon_H9e zenon_H8c zenon_He7 zenon_H13a zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_H117 zenon_H9b.
% 49.46/49.65 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H39 | zenon_intro zenon_H136 ].
% 49.46/49.65 apply (zenon_L8_); trivial.
% 49.46/49.65 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hdc | zenon_intro zenon_H137 ].
% 49.46/49.65 apply (zenon_L787_); trivial.
% 49.46/49.65 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Haf | zenon_intro zenon_H12c ].
% 49.46/49.65 apply (zenon_L570_); trivial.
% 49.46/49.65 apply (zenon_L583_); trivial.
% 49.46/49.65 (* end of lemma zenon_L800_ *)
% 49.46/49.65 assert (zenon_L801_ : (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e10) = (e11))) -> ((op1 (e13) (e11)) = (e10)) -> ((op1 (e11) (e12)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e23) (e23)) = (e20)) -> ((h3 (e10)) = (op2 (e22) (e22))) -> (~((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13))))) -> (~((e10) = (e13))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> False).
% 49.46/49.65 do 0 intro. intros zenon_H10b zenon_H108 zenon_H111 zenon_He0 zenon_Hea zenon_H58 zenon_Hf7 zenon_H11e zenon_H11d zenon_H8b zenon_H82 zenon_H63 zenon_Hd9 zenon_H126 zenon_H122 zenon_H4f zenon_H18b zenon_H64 zenon_H99 zenon_H135 zenon_H3a zenon_H20 zenon_H19e zenon_H39d zenon_H14 zenon_H314 zenon_H13 zenon_H42d zenon_H2d zenon_H18 zenon_H377 zenon_H35d zenon_Hae zenon_H18e zenon_H9e zenon_H8c zenon_He7 zenon_H13a zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_H117.
% 49.46/49.65 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_He4 | zenon_intro zenon_H10c ].
% 49.46/49.65 apply (zenon_L799_); trivial.
% 49.46/49.65 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H9a | zenon_intro zenon_H10d ].
% 49.46/49.65 apply (zenon_L580_); trivial.
% 49.46/49.65 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H101 | zenon_intro zenon_H9b ].
% 49.46/49.65 apply (zenon_L59_); trivial.
% 49.46/49.65 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H121 | zenon_intro zenon_H127 ].
% 49.46/49.65 apply (zenon_L70_); trivial.
% 49.46/49.65 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H94 | zenon_intro zenon_H128 ].
% 49.46/49.65 apply (zenon_L481_); trivial.
% 49.46/49.65 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H11b | zenon_intro zenon_Hf3 ].
% 49.46/49.65 apply (zenon_L66_); trivial.
% 49.46/49.65 apply (zenon_L800_); trivial.
% 49.46/49.65 (* end of lemma zenon_L801_ *)
% 49.46/49.65 assert (zenon_L802_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e23) (e23)) = (e20)) -> ((h3 (e10)) = (op2 (e22) (e22))) -> (~((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e13))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False).
% 49.46/49.65 do 0 intro. intros zenon_H40 zenon_H23 zenon_H19e zenon_H39d zenon_H14 zenon_H314 zenon_H13 zenon_H42d zenon_H117 zenon_H135 zenon_H2d zenon_H57 zenon_H11d zenon_H387 zenon_H37f zenon_Hea zenon_H110 zenon_Hfa zenon_Hc7 zenon_H18 zenon_H377 zenon_H35d zenon_H33 zenon_H24 zenon_H1f zenon_H20 zenon_H3a.
% 49.46/49.65 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H25 | zenon_intro zenon_H41 ].
% 49.46/49.66 apply (zenon_L4_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H2c | zenon_intro zenon_H42 ].
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_H91 | zenon_intro zenon_H35e ].
% 49.46/49.66 apply (zenon_L552_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H18b | zenon_intro zenon_H35f ].
% 49.46/49.66 apply (zenon_L561_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H116 | zenon_intro zenon_H35a ].
% 49.46/49.66 apply (zenon_L65_); trivial.
% 49.46/49.66 apply (zenon_L786_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H39 ].
% 49.46/49.66 apply (zenon_L7_); trivial.
% 49.46/49.66 apply (zenon_L8_); trivial.
% 49.46/49.66 (* end of lemma zenon_L802_ *)
% 49.46/49.66 assert (zenon_L803_ : (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e11)) = (e10)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e23) (e23)) = (e20)) -> ((h3 (e10)) = (op2 (e22) (e22))) -> (~((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13))))) -> (~((e10) = (e13))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e10) = (e12))) -> ((op1 (e13) (e12)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((op1 (e12) (e10)) = (e11)) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> ((op1 (e10) (e10)) = (e12)) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e11) = (e13))) -> (~((e10) = (e11))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False).
% 49.46/49.66 do 0 intro. intros zenon_H3a zenon_H13a zenon_H122 zenon_H180 zenon_H18b zenon_H365 zenon_H135 zenon_H19e zenon_H39d zenon_H14 zenon_H314 zenon_H13 zenon_H42d zenon_H2d zenon_H18 zenon_H377 zenon_H35d zenon_H18e zenon_H117 zenon_H36b zenon_H33 zenon_Hc7 zenon_Hfa zenon_H37f zenon_H387 zenon_H11d zenon_H23 zenon_H40 zenon_H76 zenon_H11b zenon_H368 zenon_Hd6 zenon_H12b zenon_H15a zenon_Hfd zenon_H63 zenon_H154 zenon_H360 zenon_H126 zenon_H7b zenon_H111 zenon_H142 zenon_H96 zenon_H13f zenon_H11e zenon_H99 zenon_H155 zenon_H113 zenon_H161 zenon_H15f zenon_H190 zenon_H353 zenon_H362 zenon_H185 zenon_Hd9 zenon_H146 zenon_H151 zenon_H18d zenon_H16c zenon_H187 zenon_H108 zenon_H10b zenon_H72 zenon_H160 zenon_H19 zenon_H82 zenon_H8b zenon_Hf7 zenon_H58 zenon_H4f zenon_He7 zenon_Hea zenon_H20 zenon_H9e zenon_H8c zenon_He0 zenon_H9a zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_Hae.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H57 | zenon_intro zenon_Hda ].
% 49.46/49.66 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He6 | zenon_intro zenon_Hf8 ].
% 49.46/49.66 apply (zenon_L542_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Hab | zenon_intro zenon_Hf9 ].
% 49.46/49.66 apply (zenon_L47_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_He9 | zenon_intro zenon_Hf3 ].
% 49.46/49.66 apply (zenon_L48_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H92 | zenon_intro zenon_Hd7 ].
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H36b); [ zenon_intro zenon_H110 | zenon_intro zenon_H36c ].
% 49.46/49.66 apply (zenon_L802_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_Hde | zenon_intro zenon_H36d ].
% 49.46/49.66 apply (zenon_L505_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H36d); [ zenon_intro zenon_H369 | zenon_intro zenon_Hc8 ].
% 49.46/49.66 apply (zenon_L716_); trivial.
% 49.46/49.66 apply (zenon_L507_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H95 | zenon_intro zenon_Hd8 ].
% 49.46/49.66 apply (zenon_L717_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hc8 ].
% 49.46/49.66 apply (zenon_L800_); trivial.
% 49.46/49.66 apply (zenon_L508_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H81 | zenon_intro zenon_Hdb ].
% 49.46/49.66 apply (zenon_L26_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H89 | zenon_intro zenon_Haf ].
% 49.46/49.66 apply (zenon_L28_); trivial.
% 49.46/49.66 apply (zenon_L52_); trivial.
% 49.46/49.66 (* end of lemma zenon_L803_ *)
% 49.46/49.66 assert (zenon_L804_ : ((op1 (e13) (e12)) = (e11)) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e11)) = (e10)) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e11) = (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((op1 (e12) (e10)) = (e11)) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> ((op1 (e10) (e10)) = (e12)) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e23) (e23)) = (e20)) -> ((h3 (e10)) = (op2 (e22) (e22))) -> (~((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13))))) -> (~((e10) = (e13))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> False).
% 49.46/49.66 do 0 intro. intros zenon_H11b zenon_H387 zenon_H37f zenon_Hfa zenon_H18b zenon_Hf7 zenon_H58 zenon_H12b zenon_H11d zenon_H15a zenon_Hfd zenon_H63 zenon_H154 zenon_He0 zenon_Hc7 zenon_H360 zenon_H126 zenon_H122 zenon_H7b zenon_H111 zenon_H142 zenon_H36b zenon_H96 zenon_H76 zenon_H368 zenon_Hd6 zenon_H13f zenon_H11e zenon_H99 zenon_H155 zenon_H113 zenon_H161 zenon_H15f zenon_H190 zenon_H353 zenon_H362 zenon_H185 zenon_Hd9 zenon_H146 zenon_H8b zenon_H151 zenon_H18d zenon_H16c zenon_H187 zenon_H108 zenon_H82 zenon_H23 zenon_H40 zenon_H10b zenon_H72 zenon_H160 zenon_H19 zenon_H33 zenon_H180 zenon_H365 zenon_H36e zenon_H173 zenon_H4f zenon_Hea zenon_H135 zenon_H3a zenon_H20 zenon_H19e zenon_H39d zenon_H14 zenon_H314 zenon_H13 zenon_H42d zenon_H2d zenon_H18 zenon_H377 zenon_H35d zenon_Hae zenon_H18e zenon_H9e zenon_H8c zenon_He7 zenon_H13a zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_H117.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_He4 | zenon_intro zenon_H10c ].
% 49.46/49.66 apply (zenon_L491_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H9a | zenon_intro zenon_H10d ].
% 49.46/49.66 apply (zenon_L803_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H101 | zenon_intro zenon_H9b ].
% 49.46/49.66 apply (zenon_L59_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He6 | zenon_intro zenon_Hf8 ].
% 49.46/49.66 apply (zenon_L543_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Hab | zenon_intro zenon_Hf9 ].
% 49.46/49.66 apply (zenon_L47_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_He9 | zenon_intro zenon_Hf3 ].
% 49.46/49.66 apply (zenon_L48_); trivial.
% 49.46/49.66 apply (zenon_L800_); trivial.
% 49.46/49.66 (* end of lemma zenon_L804_ *)
% 49.46/49.66 assert (zenon_L805_ : ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e10) (e10)) = (e12)) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (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) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e12) (e10)) = (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 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((op1 (e13) (e11)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((e10) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (~((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13))))) -> ((h3 (e10)) = (op2 (e22) (e22))) -> ((op2 (e23) (e23)) = (e20)) -> ((e20) = (op2 (e22) (e22))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> False).
% 49.46/49.66 do 0 intro. intros zenon_H24 zenon_H6c zenon_H13a zenon_He7 zenon_H8c zenon_H9e zenon_H18e zenon_Hae zenon_H20 zenon_H3a zenon_H135 zenon_Hea zenon_H4f zenon_H173 zenon_H36e zenon_H365 zenon_H180 zenon_H33 zenon_H19 zenon_H160 zenon_H72 zenon_H10b zenon_H40 zenon_H23 zenon_H82 zenon_H108 zenon_H187 zenon_H16c zenon_H18d zenon_H151 zenon_H8b zenon_H146 zenon_Hd9 zenon_H185 zenon_H362 zenon_H353 zenon_H190 zenon_H15f zenon_H161 zenon_H113 zenon_H155 zenon_H99 zenon_H11e zenon_H13f zenon_Hd6 zenon_H368 zenon_H76 zenon_H96 zenon_H36b zenon_H142 zenon_H111 zenon_H7b zenon_H122 zenon_H126 zenon_H360 zenon_Hc7 zenon_He0 zenon_H154 zenon_H63 zenon_Hfd zenon_H15a zenon_H11d zenon_H12b zenon_H58 zenon_Hf7 zenon_H18b zenon_Hfa zenon_H37f zenon_H387 zenon_H4e zenon_H67 zenon_H35d zenon_H377 zenon_H18 zenon_H2d zenon_H117 zenon_H1f zenon_H42d zenon_H13 zenon_H314 zenon_H14 zenon_H39d zenon_H19e.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ].
% 49.46/49.66 apply (zenon_L574_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ].
% 49.46/49.66 apply (zenon_L25_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ].
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H56 | zenon_intro zenon_H158 ].
% 49.46/49.66 apply (zenon_L21_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H64 | zenon_intro zenon_H159 ].
% 49.46/49.66 apply (zenon_L801_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H13d | zenon_intro zenon_H11b ].
% 49.46/49.66 apply (zenon_L88_); trivial.
% 49.46/49.66 apply (zenon_L804_); trivial.
% 49.46/49.66 apply (zenon_L787_); trivial.
% 49.46/49.66 (* end of lemma zenon_L805_ *)
% 49.46/49.66 assert (zenon_L806_ : (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((e11) = (e13))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e12) (e11)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e13)) = (e11)) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e11))) -> ((op1 (e13) (e11)) = (e11)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (~((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13))))) -> ((h3 (e10)) = (op2 (e22) (e22))) -> ((op2 (e23) (e23)) = (e20)) -> ((e20) = (op2 (e22) (e22))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> False).
% 49.46/49.66 do 0 intro. intros zenon_Hd9 zenon_H58 zenon_H56 zenon_H82 zenon_H20 zenon_H8b zenon_H35d zenon_Hc7 zenon_H24 zenon_Hbe zenon_H6c zenon_Hae zenon_Hab zenon_H8c zenon_H9e zenon_H99 zenon_H9a zenon_H96 zenon_H76 zenon_Hd6 zenon_H4f zenon_H94 zenon_H117 zenon_H1f zenon_H42d zenon_H13 zenon_H314 zenon_H14 zenon_H39d zenon_H19e.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H57 | zenon_intro zenon_Hda ].
% 49.46/49.66 apply (zenon_L17_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H81 | zenon_intro zenon_Hdb ].
% 49.46/49.66 apply (zenon_L26_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H89 | zenon_intro zenon_Haf ].
% 49.46/49.66 apply (zenon_L28_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_H91 | zenon_intro zenon_H35e ].
% 49.46/49.66 apply (zenon_L40_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H18b | zenon_intro zenon_H35f ].
% 49.46/49.66 apply (zenon_L481_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H116 | zenon_intro zenon_H35a ].
% 49.46/49.66 apply (zenon_L65_); trivial.
% 49.46/49.66 apply (zenon_L786_); trivial.
% 49.46/49.66 (* end of lemma zenon_L806_ *)
% 49.46/49.66 assert (zenon_L807_ : (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e23) (e23)) = (e20)) -> ((h3 (e10)) = (op2 (e22) (e22))) -> (~((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13))))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> ((op1 (e11) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e13) (e11)) = (e11)) -> (~((e11) = (e13))) -> False).
% 49.46/49.66 do 0 intro. intros zenon_H154 zenon_Hfa zenon_H18d zenon_H33 zenon_Hfd zenon_H7b zenon_H19e zenon_H39d zenon_H14 zenon_H314 zenon_H13 zenon_H42d zenon_H1f zenon_H117 zenon_H4f zenon_Hd6 zenon_H76 zenon_H96 zenon_H9a zenon_H99 zenon_H9e zenon_H8c zenon_Hab zenon_Hae zenon_H6c zenon_H24 zenon_Hc7 zenon_H35d zenon_H8b zenon_H20 zenon_H82 zenon_H56 zenon_Hd9 zenon_H94 zenon_H58.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ].
% 49.46/49.66 apply (zenon_L574_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ].
% 49.46/49.66 apply (zenon_L25_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ].
% 49.46/49.66 apply (zenon_L806_); trivial.
% 49.46/49.66 apply (zenon_L42_); trivial.
% 49.46/49.66 (* end of lemma zenon_L807_ *)
% 49.46/49.66 assert (zenon_L808_ : (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e10) (e10)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e11) (e11)) = (e10)) -> (~((e11) = (e13))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e11))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (~((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13))))) -> ((h3 (e10)) = (op2 (e22) (e22))) -> ((op2 (e23) (e23)) = (e20)) -> ((e20) = (op2 (e22) (e22))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e11) (e13)) = (e11)) -> (~((e11) = (e12))) -> False).
% 49.46/49.66 do 0 intro. intros zenon_H16c zenon_H67 zenon_H160 zenon_H72 zenon_H23 zenon_H60 zenon_H58 zenon_Hd9 zenon_H56 zenon_H82 zenon_H20 zenon_H8b zenon_H35d zenon_Hc7 zenon_H24 zenon_H6c zenon_Hae zenon_H8c zenon_H9e zenon_H99 zenon_H76 zenon_Hd6 zenon_H4f zenon_H117 zenon_H1f zenon_H42d zenon_H13 zenon_H314 zenon_H14 zenon_H39d zenon_H19e zenon_H7b zenon_Hfd zenon_H33 zenon_H18d zenon_Hfa zenon_H154 zenon_Hab zenon_H96.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H4e | zenon_intro zenon_H171 ].
% 49.46/49.66 apply (zenon_L21_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H61 | zenon_intro zenon_H172 ].
% 49.46/49.66 apply (zenon_L19_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H6b | zenon_intro zenon_H94 ].
% 49.46/49.66 apply (zenon_L22_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H73 | zenon_intro zenon_H167 ].
% 49.46/49.66 apply (zenon_L23_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H75 | zenon_intro zenon_H168 ].
% 49.46/49.66 apply (zenon_L24_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H9a | zenon_intro zenon_Hde ].
% 49.46/49.66 apply (zenon_L807_); trivial.
% 49.46/49.66 apply (zenon_L43_); trivial.
% 49.46/49.66 (* end of lemma zenon_L808_ *)
% 49.46/49.66 assert (zenon_L809_ : (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((e10) = (e11))) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e11) (e12)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((e10) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (~((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13))))) -> ((h3 (e10)) = (op2 (e22) (e22))) -> ((op2 (e23) (e23)) = (e20)) -> ((e20) = (op2 (e22) (e22))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> False).
% 49.46/49.66 do 0 intro. intros zenon_H154 zenon_H4e zenon_H7b zenon_Hae zenon_H24 zenon_H6c zenon_H9a zenon_He0 zenon_H8c zenon_H9e zenon_H20 zenon_Hea zenon_He7 zenon_H4f zenon_H58 zenon_Hf7 zenon_H8b zenon_H82 zenon_H11e zenon_H64 zenon_H99 zenon_H11d zenon_Hd9 zenon_H35d zenon_H377 zenon_H18 zenon_H2d zenon_H117 zenon_H1f zenon_H42d zenon_H13 zenon_H314 zenon_H14 zenon_H39d zenon_H19e.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ].
% 49.46/49.66 apply (zenon_L113_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ].
% 49.46/49.66 apply (zenon_L25_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ].
% 49.46/49.66 apply (zenon_L580_); trivial.
% 49.46/49.66 apply (zenon_L787_); trivial.
% 49.46/49.66 (* end of lemma zenon_L809_ *)
% 49.46/49.66 assert (zenon_L810_ : (((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)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e10) (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) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((e11) = (e12))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e10) (e10)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13))))) -> ((h3 (e10)) = (op2 (e22) (e22))) -> ((op2 (e23) (e23)) = (e20)) -> ((e20) = (op2 (e22) (e22))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False).
% 49.46/49.66 do 0 intro. intros zenon_H40 zenon_H82 zenon_H99 zenon_H63 zenon_H56 zenon_He0 zenon_H108 zenon_Hd9 zenon_H8c zenon_H8b zenon_Hfd zenon_Hae zenon_H6c zenon_H9e zenon_Hea zenon_H4f zenon_H58 zenon_Hf7 zenon_Hfa zenon_H96 zenon_H10b zenon_H15f zenon_H16c zenon_H67 zenon_H160 zenon_H72 zenon_H23 zenon_H35d zenon_Hc7 zenon_H76 zenon_Hd6 zenon_H117 zenon_H42d zenon_H13 zenon_H314 zenon_H14 zenon_H39d zenon_H19e zenon_H7b zenon_H18d zenon_H154 zenon_H2d zenon_H161 zenon_H33 zenon_H24 zenon_H1f zenon_H20 zenon_H3a.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H25 | zenon_intro zenon_H41 ].
% 49.46/49.66 apply (zenon_L4_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H2c | zenon_intro zenon_H42 ].
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H2b | zenon_intro zenon_H163 ].
% 49.46/49.66 apply (zenon_L6_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H60 | zenon_intro zenon_H164 ].
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H5b | zenon_intro zenon_H165 ].
% 49.46/49.66 apply (zenon_L18_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H61 | zenon_intro zenon_H166 ].
% 49.46/49.66 apply (zenon_L19_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H64 | zenon_intro zenon_Hab ].
% 49.46/49.66 apply (zenon_L20_); trivial.
% 49.46/49.66 apply (zenon_L808_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_He1 | zenon_intro zenon_He7 ].
% 49.46/49.66 apply (zenon_L44_); trivial.
% 49.46/49.66 apply (zenon_L61_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H39 ].
% 49.46/49.66 apply (zenon_L7_); trivial.
% 49.46/49.66 apply (zenon_L8_); trivial.
% 49.46/49.66 (* end of lemma zenon_L810_ *)
% 49.46/49.66 assert (zenon_L811_ : (~((e11) = (e13))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e13)) = (e11)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e11) (e11)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e13)) = (e13)) -> ((op1 (e13) (e12)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((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 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((e10) = (e11))) -> ((op1 (e13) (e11)) = (e11)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (~((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13))))) -> ((h3 (e10)) = (op2 (e22) (e22))) -> ((op2 (e23) (e23)) = (e20)) -> ((e20) = (op2 (e22) (e22))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> False).
% 49.46/49.66 do 0 intro. intros zenon_H58 zenon_Hd9 zenon_H56 zenon_H82 zenon_H20 zenon_H8b zenon_H35d zenon_Hc7 zenon_H24 zenon_H6c zenon_Hae zenon_Hab zenon_H9e zenon_H99 zenon_H9a zenon_H96 zenon_H76 zenon_Hd6 zenon_H7b zenon_Hfd zenon_H33 zenon_H18d zenon_Hfa zenon_H154 zenon_H353 zenon_H60 zenon_Hea zenon_Hfb zenon_Haf zenon_H18e zenon_H38e zenon_H108 zenon_He0 zenon_H63 zenon_H4f zenon_H94 zenon_H117 zenon_H1f zenon_H42d zenon_H13 zenon_H314 zenon_H14 zenon_H39d zenon_H19e.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_H91 | zenon_intro zenon_H35e ].
% 49.46/49.66 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H92 | zenon_intro zenon_Hd7 ].
% 49.46/49.66 apply (zenon_L29_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H95 | zenon_intro zenon_Hd8 ].
% 49.46/49.66 apply (zenon_L30_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hc8 ].
% 49.46/49.66 apply (zenon_L60_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H38e); [ zenon_intro zenon_H177 | zenon_intro zenon_H38f ].
% 49.46/49.66 apply (zenon_L146_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H38f); [ zenon_intro zenon_He6 | zenon_intro zenon_H390 ].
% 49.46/49.66 apply (zenon_L479_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H110 | zenon_intro zenon_H8c ].
% 49.46/49.66 apply (zenon_L697_); trivial.
% 49.46/49.66 apply (zenon_L807_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H18b | zenon_intro zenon_H35f ].
% 49.46/49.66 apply (zenon_L481_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H116 | zenon_intro zenon_H35a ].
% 49.46/49.66 apply (zenon_L65_); trivial.
% 49.46/49.66 apply (zenon_L786_); trivial.
% 49.46/49.66 (* end of lemma zenon_L811_ *)
% 49.46/49.66 assert (zenon_L812_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((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)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (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) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((e11) = (e12))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e10) (e10)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13))))) -> ((h3 (e10)) = (op2 (e22) (e22))) -> ((op2 (e23) (e23)) = (e20)) -> ((e20) = (op2 (e22) (e22))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False).
% 49.46/49.66 do 0 intro. intros zenon_H38e zenon_H13a zenon_H122 zenon_H180 zenon_H365 zenon_H142 zenon_H36b zenon_H36e zenon_H173 zenon_H111 zenon_H360 zenon_H126 zenon_H155 zenon_H187 zenon_H151 zenon_H146 zenon_H362 zenon_H353 zenon_H18e zenon_H190 zenon_H113 zenon_H11d zenon_H12b zenon_H368 zenon_H185 zenon_H135 zenon_H15a zenon_H40 zenon_H82 zenon_H99 zenon_H63 zenon_H56 zenon_He0 zenon_H108 zenon_Hd9 zenon_H8b zenon_Hfd zenon_Hae zenon_H6c zenon_H9e zenon_Hea zenon_H4f zenon_H58 zenon_Hf7 zenon_Hfa zenon_H96 zenon_H10b zenon_H15f zenon_H16c zenon_H67 zenon_H160 zenon_H72 zenon_H23 zenon_H35d zenon_Hc7 zenon_H76 zenon_Hd6 zenon_H117 zenon_H42d zenon_H13 zenon_H314 zenon_H14 zenon_H39d zenon_H19e zenon_H7b zenon_H18d zenon_H154 zenon_H2d zenon_H161 zenon_H33 zenon_H24 zenon_H1f zenon_H20 zenon_H3a.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H25 | zenon_intro zenon_H114 ].
% 49.46/49.66 apply (zenon_L4_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H54 | zenon_intro zenon_H115 ].
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H25 | zenon_intro zenon_H41 ].
% 49.46/49.66 apply (zenon_L4_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H2c | zenon_intro zenon_H42 ].
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H2b | zenon_intro zenon_H163 ].
% 49.46/49.66 apply (zenon_L6_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H60 | zenon_intro zenon_H164 ].
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H5b | zenon_intro zenon_H165 ].
% 49.46/49.66 apply (zenon_L18_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H61 | zenon_intro zenon_H166 ].
% 49.46/49.66 apply (zenon_L19_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H64 | zenon_intro zenon_Hab ].
% 49.46/49.66 apply (zenon_L20_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H4e | zenon_intro zenon_H171 ].
% 49.46/49.66 apply (zenon_L113_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H61 | zenon_intro zenon_H172 ].
% 49.46/49.66 apply (zenon_L19_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H6b | zenon_intro zenon_H94 ].
% 49.46/49.66 apply (zenon_L22_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H73 | zenon_intro zenon_H167 ].
% 49.46/49.66 apply (zenon_L23_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H75 | zenon_intro zenon_H168 ].
% 49.46/49.66 apply (zenon_L24_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H9a | zenon_intro zenon_Hde ].
% 49.46/49.66 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hfe ].
% 49.46/49.66 apply (zenon_L7_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hff ].
% 49.46/49.66 apply (zenon_L144_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H89 | zenon_intro zenon_Hfb ].
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H39 | zenon_intro zenon_H136 ].
% 49.46/49.66 apply (zenon_L8_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hdc | zenon_intro zenon_H137 ].
% 49.46/49.66 apply (zenon_L42_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Haf | zenon_intro zenon_H12c ].
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H8c | zenon_intro zenon_H152 ].
% 49.46/49.66 apply (zenon_L810_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H145 | zenon_intro zenon_H153 ].
% 49.46/49.66 apply (zenon_L93_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_Hfb | zenon_intro zenon_H12c ].
% 49.46/49.66 apply (zenon_L811_); trivial.
% 49.46/49.66 apply (zenon_L104_); trivial.
% 49.46/49.66 apply (zenon_L104_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H57 | zenon_intro zenon_Hda ].
% 49.46/49.66 apply (zenon_L17_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H81 | zenon_intro zenon_Hdb ].
% 49.46/49.66 apply (zenon_L26_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H89 | zenon_intro zenon_Haf ].
% 49.46/49.66 apply (zenon_L132_); trivial.
% 49.46/49.66 apply (zenon_L811_); trivial.
% 49.46/49.66 apply (zenon_L43_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_He1 | zenon_intro zenon_He7 ].
% 49.46/49.66 apply (zenon_L44_); trivial.
% 49.46/49.66 apply (zenon_L664_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H39 ].
% 49.46/49.66 apply (zenon_L7_); trivial.
% 49.46/49.66 apply (zenon_L8_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H57 | zenon_intro zenon_H8c ].
% 49.46/49.66 apply (zenon_L17_); trivial.
% 49.46/49.66 apply (zenon_L810_); trivial.
% 49.46/49.66 (* end of lemma zenon_L812_ *)
% 49.46/49.66 assert (zenon_L813_ : (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> ((op1 (e13) (e10)) = (e10)) -> (~((e11) = (e12))) -> ((op1 (e13) (e11)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e12) (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) (e13)) = (e12)) -> False).
% 49.46/49.66 do 0 intro. intros zenon_Hd6 zenon_H76 zenon_H91 zenon_H96 zenon_H94 zenon_H82 zenon_H20 zenon_H1f zenon_H24 zenon_H99 zenon_H63 zenon_H56 zenon_He0 zenon_H108 zenon_H9e zenon_H110.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H92 | zenon_intro zenon_Hd7 ].
% 49.46/49.66 apply (zenon_L29_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H95 | zenon_intro zenon_Hd8 ].
% 49.46/49.66 apply (zenon_L30_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hc8 ].
% 49.46/49.66 apply (zenon_L60_); trivial.
% 49.46/49.66 apply (zenon_L697_); trivial.
% 49.46/49.66 (* end of lemma zenon_L813_ *)
% 49.46/49.66 assert (zenon_L814_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13))))) -> ((h3 (e10)) = (op2 (e22) (e22))) -> ((op2 (e23) (e23)) = (e20)) -> ((e20) = (op2 (e22) (e22))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((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) (e10)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (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 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e11))) -> False).
% 49.46/49.66 do 0 intro. intros zenon_H3a9 zenon_H365 zenon_H36e zenon_H368 zenon_H36b zenon_H360 zenon_H35d zenon_H362 zenon_H371 zenon_H42d zenon_H13 zenon_H314 zenon_H14 zenon_H39d zenon_H19e zenon_H38e zenon_H387 zenon_H37f zenon_H377 zenon_H391 zenon_H161 zenon_H13f zenon_H126 zenon_H122 zenon_H155 zenon_H9e zenon_Hfa zenon_Hf7 zenon_H19 zenon_H173 zenon_H16a zenon_H178 zenon_H40 zenon_H43 zenon_H16b zenon_H4a zenon_H111 zenon_H160 zenon_H182 zenon_H8b zenon_H12b zenon_H154 zenon_H7b zenon_H10b zenon_H142 zenon_H11e zenon_H3a zenon_H135 zenon_H13a zenon_H11d zenon_H117 zenon_H15e zenon_H2d zenon_H58 zenon_H190 zenon_H17a zenon_H82 zenon_H20 zenon_H24 zenon_Hd6 zenon_H76 zenon_H96 zenon_H99 zenon_H18e zenon_Hae zenon_Hea zenon_Hc7 zenon_H63 zenon_He0 zenon_H108 zenon_H185 zenon_Hd9 zenon_H151 zenon_H146 zenon_H15a zenon_H18d zenon_H33 zenon_Hfd zenon_H6c zenon_H67 zenon_H16c zenon_H15f zenon_H1f zenon_H187 zenon_H180 zenon_H23 zenon_H113 zenon_H4f.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H3a9); [ zenon_intro zenon_H18 | zenon_intro zenon_H3aa ].
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H4b | zenon_intro zenon_H16f ].
% 49.46/49.66 apply (zenon_L13_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H4e | zenon_intro zenon_H170 ].
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H371); [ zenon_intro zenon_H4b | zenon_intro zenon_H372 ].
% 49.46/49.66 apply (zenon_L13_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H5b | zenon_intro zenon_H373 ].
% 49.46/49.66 apply (zenon_L18_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H373); [ zenon_intro zenon_H353 | zenon_intro zenon_H121 ].
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H72 | zenon_intro zenon_H162 ].
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H25 | zenon_intro zenon_H114 ].
% 49.46/49.66 apply (zenon_L4_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H54 | zenon_intro zenon_H115 ].
% 49.46/49.66 apply (zenon_L113_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H57 | zenon_intro zenon_H8c ].
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H25 | zenon_intro zenon_H41 ].
% 49.46/49.66 apply (zenon_L4_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H2c | zenon_intro zenon_H42 ].
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_H91 | zenon_intro zenon_H35e ].
% 49.46/49.66 apply (zenon_L552_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H18b | zenon_intro zenon_H35f ].
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H391); [ zenon_intro zenon_H177 | zenon_intro zenon_H392 ].
% 49.46/49.66 apply (zenon_L112_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H392); [ zenon_intro zenon_He7 | zenon_intro zenon_H393 ].
% 49.46/49.66 apply (zenon_L792_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H393); [ zenon_intro zenon_H37e | zenon_intro zenon_H35a ].
% 49.46/49.66 apply (zenon_L557_); trivial.
% 49.46/49.66 apply (zenon_L786_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H116 | zenon_intro zenon_H35a ].
% 49.46/49.66 apply (zenon_L65_); trivial.
% 49.46/49.66 apply (zenon_L786_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H39 ].
% 49.46/49.66 apply (zenon_L7_); trivial.
% 49.46/49.66 apply (zenon_L8_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H25 | zenon_intro zenon_H41 ].
% 49.46/49.66 apply (zenon_L4_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H2c | zenon_intro zenon_H42 ].
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H2b | zenon_intro zenon_H163 ].
% 49.46/49.66 apply (zenon_L6_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H60 | zenon_intro zenon_H164 ].
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H5b | zenon_intro zenon_H165 ].
% 49.46/49.66 apply (zenon_L18_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H61 | zenon_intro zenon_H166 ].
% 49.46/49.66 apply (zenon_L19_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H64 | zenon_intro zenon_Hab ].
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H73 | zenon_intro zenon_H167 ].
% 49.46/49.66 apply (zenon_L23_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H75 | zenon_intro zenon_H168 ].
% 49.46/49.66 apply (zenon_L24_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H9a | zenon_intro zenon_Hde ].
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ].
% 49.46/49.66 apply (zenon_L113_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ].
% 49.46/49.66 apply (zenon_L25_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ].
% 49.46/49.66 apply (zenon_L795_); trivial.
% 49.46/49.66 apply (zenon_L787_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ].
% 49.46/49.66 apply (zenon_L574_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ].
% 49.46/49.66 apply (zenon_L25_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ].
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_He4 | zenon_intro zenon_H10c ].
% 49.46/49.66 apply (zenon_L797_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H9a | zenon_intro zenon_H10d ].
% 49.46/49.66 apply (zenon_L795_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H101 | zenon_intro zenon_H9b ].
% 49.46/49.66 apply (zenon_L59_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H57 | zenon_intro zenon_Hda ].
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_H91 | zenon_intro zenon_H35e ].
% 49.46/49.66 apply (zenon_L552_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H18b | zenon_intro zenon_H35f ].
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H391); [ zenon_intro zenon_H177 | zenon_intro zenon_H392 ].
% 49.46/49.66 apply (zenon_L137_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H392); [ zenon_intro zenon_He7 | zenon_intro zenon_H393 ].
% 49.46/49.66 apply (zenon_L805_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H393); [ zenon_intro zenon_H37e | zenon_intro zenon_H35a ].
% 49.46/49.66 apply (zenon_L557_); trivial.
% 49.46/49.66 apply (zenon_L786_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H116 | zenon_intro zenon_H35a ].
% 49.46/49.66 apply (zenon_L65_); trivial.
% 49.46/49.66 apply (zenon_L786_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H81 | zenon_intro zenon_Hdb ].
% 49.46/49.66 apply (zenon_L26_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H89 | zenon_intro zenon_Haf ].
% 49.46/49.66 apply (zenon_L28_); trivial.
% 49.46/49.66 apply (zenon_L794_); trivial.
% 49.46/49.66 apply (zenon_L787_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H73 | zenon_intro zenon_H167 ].
% 49.46/49.66 apply (zenon_L23_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H75 | zenon_intro zenon_H168 ].
% 49.46/49.66 apply (zenon_L24_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H9a | zenon_intro zenon_Hde ].
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ].
% 49.46/49.66 apply (zenon_L113_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ].
% 49.46/49.66 apply (zenon_L25_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ].
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H56 | zenon_intro zenon_H158 ].
% 49.46/49.66 apply (zenon_L808_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H64 | zenon_intro zenon_H159 ].
% 49.46/49.66 apply (zenon_L795_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H13d | zenon_intro zenon_H11b ].
% 49.46/49.66 apply (zenon_L88_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_H91 | zenon_intro zenon_H35e ].
% 49.46/49.66 apply (zenon_L552_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H18b | zenon_intro zenon_H35f ].
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H391); [ zenon_intro zenon_H177 | zenon_intro zenon_H392 ].
% 49.46/49.66 apply (zenon_L121_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H392); [ zenon_intro zenon_He7 | zenon_intro zenon_H393 ].
% 49.46/49.66 apply (zenon_L804_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H393); [ zenon_intro zenon_H37e | zenon_intro zenon_H35a ].
% 49.46/49.66 apply (zenon_L557_); trivial.
% 49.46/49.66 apply (zenon_L786_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H116 | zenon_intro zenon_H35a ].
% 49.46/49.66 apply (zenon_L65_); trivial.
% 49.46/49.66 apply (zenon_L786_); trivial.
% 49.46/49.66 apply (zenon_L787_); trivial.
% 49.46/49.66 apply (zenon_L43_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_He1 | zenon_intro zenon_He7 ].
% 49.46/49.66 apply (zenon_L44_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H17 | zenon_intro zenon_H191 ].
% 49.46/49.66 apply (zenon_L14_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H60 | zenon_intro zenon_H192 ].
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H5b | zenon_intro zenon_H165 ].
% 49.46/49.66 apply (zenon_L18_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H61 | zenon_intro zenon_H166 ].
% 49.46/49.66 apply (zenon_L19_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H64 | zenon_intro zenon_Hab ].
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H73 | zenon_intro zenon_H167 ].
% 49.46/49.66 apply (zenon_L23_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H75 | zenon_intro zenon_H168 ].
% 49.46/49.66 apply (zenon_L24_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H9a | zenon_intro zenon_Hde ].
% 49.46/49.66 apply (zenon_L809_); trivial.
% 49.46/49.66 apply (zenon_L505_); trivial.
% 49.46/49.66 apply (zenon_L47_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H188 | zenon_intro zenon_H18b ].
% 49.46/49.66 apply (zenon_L140_); trivial.
% 49.46/49.66 apply (zenon_L805_); trivial.
% 49.46/49.66 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H39 ].
% 49.55/49.67 apply (zenon_L7_); trivial.
% 49.55/49.67 apply (zenon_L8_); trivial.
% 49.55/49.67 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H10e | zenon_intro zenon_H169 ].
% 49.55/49.67 apply (zenon_L142_); trivial.
% 49.55/49.67 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_He4 | zenon_intro zenon_H110 ].
% 49.55/49.67 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H25 | zenon_intro zenon_H114 ].
% 49.55/49.67 apply (zenon_L4_); trivial.
% 49.55/49.67 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H54 | zenon_intro zenon_H115 ].
% 49.55/49.67 apply (zenon_L113_); trivial.
% 49.55/49.67 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H57 | zenon_intro zenon_H8c ].
% 49.55/49.67 apply (zenon_L69_); trivial.
% 49.55/49.67 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ].
% 49.55/49.67 apply (zenon_L113_); trivial.
% 49.55/49.67 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ].
% 49.55/49.67 apply (zenon_L25_); trivial.
% 49.55/49.67 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ].
% 49.55/49.67 apply (zenon_L797_); trivial.
% 49.55/49.67 apply (zenon_L787_); trivial.
% 49.55/49.67 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H25 | zenon_intro zenon_H114 ].
% 49.55/49.67 apply (zenon_L4_); trivial.
% 49.55/49.67 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H54 | zenon_intro zenon_H115 ].
% 49.55/49.67 apply (zenon_L113_); trivial.
% 49.55/49.67 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H57 | zenon_intro zenon_H8c ].
% 49.55/49.67 apply (zenon_L802_); trivial.
% 49.55/49.67 apply (zenon_L63_); trivial.
% 49.55/49.67 apply (zenon_L70_); trivial.
% 49.55/49.67 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H56 | zenon_intro zenon_He6 ].
% 49.55/49.67 apply (zenon_or_s _ _ zenon_H371); [ zenon_intro zenon_H4b | zenon_intro zenon_H372 ].
% 49.55/49.67 apply (zenon_L13_); trivial.
% 49.55/49.67 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H5b | zenon_intro zenon_H373 ].
% 49.55/49.67 apply (zenon_L18_); trivial.
% 49.55/49.67 apply (zenon_or_s _ _ zenon_H373); [ zenon_intro zenon_H353 | zenon_intro zenon_H121 ].
% 49.55/49.67 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H72 | zenon_intro zenon_H162 ].
% 49.55/49.67 apply (zenon_L812_); trivial.
% 49.55/49.67 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H10e | zenon_intro zenon_H169 ].
% 49.55/49.67 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H25 | zenon_intro zenon_H114 ].
% 49.55/49.67 apply (zenon_L4_); trivial.
% 49.55/49.67 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H54 | zenon_intro zenon_H115 ].
% 49.55/49.67 apply (zenon_L544_); trivial.
% 49.55/49.67 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H57 | zenon_intro zenon_H8c ].
% 49.55/49.67 apply (zenon_L17_); trivial.
% 49.55/49.67 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H25 | zenon_intro zenon_H41 ].
% 49.55/49.67 apply (zenon_L4_); trivial.
% 49.55/49.67 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H2c | zenon_intro zenon_H42 ].
% 49.55/49.67 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H2b | zenon_intro zenon_H163 ].
% 49.55/49.67 apply (zenon_L6_); trivial.
% 49.55/49.67 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H60 | zenon_intro zenon_H164 ].
% 49.55/49.67 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H5b | zenon_intro zenon_H165 ].
% 49.55/49.67 apply (zenon_L18_); trivial.
% 49.55/49.67 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H61 | zenon_intro zenon_H166 ].
% 49.55/49.67 apply (zenon_L19_); trivial.
% 49.55/49.67 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H64 | zenon_intro zenon_Hab ].
% 49.55/49.67 apply (zenon_L20_); trivial.
% 49.55/49.67 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H4e | zenon_intro zenon_H171 ].
% 49.55/49.67 apply (zenon_L142_); trivial.
% 49.55/49.67 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H61 | zenon_intro zenon_H172 ].
% 49.55/49.67 apply (zenon_L19_); trivial.
% 49.55/49.67 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H6b | zenon_intro zenon_H94 ].
% 49.55/49.67 apply (zenon_L22_); trivial.
% 49.55/49.67 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ].
% 49.55/49.67 apply (zenon_L544_); trivial.
% 49.55/49.67 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ].
% 49.55/49.67 apply (zenon_L25_); trivial.
% 49.55/49.67 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ].
% 49.55/49.67 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_He4 | zenon_intro zenon_H10c ].
% 49.55/49.67 apply (zenon_L45_); trivial.
% 49.55/49.67 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H9a | zenon_intro zenon_H10d ].
% 49.55/49.67 apply (zenon_L806_); trivial.
% 49.55/49.67 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H101 | zenon_intro zenon_H9b ].
% 49.55/49.67 apply (zenon_L59_); trivial.
% 49.55/49.67 apply (zenon_L60_); trivial.
% 49.55/49.67 apply (zenon_L42_); trivial.
% 49.55/49.67 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_He1 | zenon_intro zenon_He7 ].
% 49.55/49.67 apply (zenon_L44_); trivial.
% 49.55/49.67 apply (zenon_L61_); trivial.
% 49.55/49.67 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H39 ].
% 49.55/49.67 apply (zenon_L7_); trivial.
% 49.55/49.67 apply (zenon_L8_); trivial.
% 49.55/49.67 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_He4 | zenon_intro zenon_H110 ].
% 49.55/49.67 apply (zenon_L45_); trivial.
% 49.55/49.67 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H25 | zenon_intro zenon_H114 ].
% 49.55/49.67 apply (zenon_L4_); trivial.
% 49.55/49.67 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H54 | zenon_intro zenon_H115 ].
% 49.55/49.67 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H25 | zenon_intro zenon_H41 ].
% 49.55/49.67 apply (zenon_L4_); trivial.
% 49.55/49.67 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H2c | zenon_intro zenon_H42 ].
% 49.55/49.67 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H2b | zenon_intro zenon_H163 ].
% 49.55/49.67 apply (zenon_L6_); trivial.
% 49.55/49.67 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H60 | zenon_intro zenon_H164 ].
% 49.55/49.67 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H4e | zenon_intro zenon_H171 ].
% 49.55/49.67 apply (zenon_L21_); trivial.
% 49.55/49.67 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H61 | zenon_intro zenon_H172 ].
% 49.55/49.67 apply (zenon_L19_); trivial.
% 49.55/49.67 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H6b | zenon_intro zenon_H94 ].
% 49.55/49.67 apply (zenon_L22_); trivial.
% 49.55/49.67 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_H91 | zenon_intro zenon_H35e ].
% 49.55/49.67 apply (zenon_L813_); trivial.
% 49.55/49.67 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H18b | zenon_intro zenon_H35f ].
% 49.55/49.67 apply (zenon_L481_); trivial.
% 49.55/49.67 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H116 | zenon_intro zenon_H35a ].
% 49.55/49.67 apply (zenon_L65_); trivial.
% 49.55/49.67 apply (zenon_L786_); trivial.
% 49.55/49.67 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_He1 | zenon_intro zenon_He7 ].
% 49.55/49.67 apply (zenon_L44_); trivial.
% 49.55/49.67 apply (zenon_L679_); trivial.
% 49.55/49.67 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H39 ].
% 49.55/49.67 apply (zenon_L7_); trivial.
% 49.55/49.67 apply (zenon_L8_); trivial.
% 49.55/49.67 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H57 | zenon_intro zenon_H8c ].
% 49.55/49.67 apply (zenon_L17_); trivial.
% 49.55/49.67 apply (zenon_L63_); trivial.
% 49.55/49.67 apply (zenon_L70_); trivial.
% 49.55/49.67 apply (zenon_L550_); trivial.
% 49.55/49.67 apply (zenon_or_s _ _ zenon_H3aa); [ zenon_intro zenon_H17 | zenon_intro zenon_H3ab ].
% 49.55/49.67 apply (zenon_L110_); trivial.
% 49.55/49.67 apply (zenon_or_s _ _ zenon_H3ab); [ zenon_intro zenon_H174 | zenon_intro zenon_H177 ].
% 49.55/49.67 apply (zenon_L111_); trivial.
% 49.55/49.67 apply (zenon_L153_); trivial.
% 49.55/49.67 (* end of lemma zenon_L814_ *)
% 49.55/49.67 assert (zenon_L815_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> ((op2 (e23) (e22)) = (e22)) -> ((op2 (e22) (e21)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e20)) = (e23)) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (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) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> (~((e20) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13))))) -> ((h3 (e10)) = (op2 (e22) (e22))) -> ((e20) = (op2 (e22) (e22))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((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) (e10)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (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 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e11))) -> False).
% 49.55/49.67 do 0 intro. intros zenon_H317 zenon_H331 zenon_H194 zenon_H215 zenon_H238 zenon_H1e6 zenon_H2b4 zenon_H261 zenon_H218 zenon_H33a zenon_H336 zenon_H264 zenon_H274 zenon_H1a6 zenon_H19b zenon_H241 zenon_H2a5 zenon_H205 zenon_H342 zenon_H297 zenon_H1d1 zenon_H1a7 zenon_H1b4 zenon_H2af zenon_H291 zenon_H3a9 zenon_H365 zenon_H36e zenon_H368 zenon_H36b zenon_H360 zenon_H35d zenon_H362 zenon_H371 zenon_H42d zenon_H13 zenon_H14 zenon_H39d zenon_H19e zenon_H38e zenon_H387 zenon_H37f zenon_H377 zenon_H391 zenon_H161 zenon_H13f zenon_H126 zenon_H122 zenon_H155 zenon_H9e zenon_Hfa zenon_Hf7 zenon_H19 zenon_H173 zenon_H16a zenon_H178 zenon_H40 zenon_H43 zenon_H16b zenon_H4a zenon_H111 zenon_H160 zenon_H182 zenon_H8b zenon_H12b zenon_H154 zenon_H7b zenon_H10b zenon_H142 zenon_H11e zenon_H3a zenon_H135 zenon_H13a zenon_H11d zenon_H117 zenon_H15e zenon_H2d zenon_H58 zenon_H190 zenon_H17a zenon_H82 zenon_H20 zenon_H24 zenon_Hd6 zenon_H76 zenon_H96 zenon_H99 zenon_H18e zenon_Hae zenon_Hea zenon_Hc7 zenon_H63 zenon_He0 zenon_H108 zenon_H185 zenon_Hd9 zenon_H151 zenon_H146 zenon_H15a zenon_H18d zenon_H33 zenon_Hfd zenon_H6c zenon_H67 zenon_H16c zenon_H15f zenon_H1f zenon_H187 zenon_H180 zenon_H23 zenon_H113 zenon_H4f.
% 49.55/49.67 apply (zenon_or_s _ _ zenon_H317); [ zenon_intro zenon_H20b | zenon_intro zenon_H318 ].
% 49.55/49.67 apply (zenon_L382_); trivial.
% 49.55/49.67 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H305 | zenon_intro zenon_H319 ].
% 49.55/49.67 apply (zenon_L404_); trivial.
% 49.55/49.67 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H290 | zenon_intro zenon_H314 ].
% 49.55/49.67 apply (zenon_L217_); trivial.
% 49.55/49.67 apply (zenon_L814_); trivial.
% 49.55/49.67 (* end of lemma zenon_L815_ *)
% 49.55/49.67 assert (zenon_L816_ : (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((e22) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e22)) = (e21)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> ((op2 (e22) (e21)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e20)) = (e23)) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (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) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> (~((e20) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13))))) -> ((h3 (e10)) = (op2 (e22) (e22))) -> ((e20) = (op2 (e22) (e22))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((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) (e10)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (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 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e11))) -> False).
% 49.55/49.67 do 0 intro. intros zenon_H285 zenon_H28b zenon_H213 zenon_H1de zenon_H298 zenon_H1dd zenon_H317 zenon_H331 zenon_H194 zenon_H238 zenon_H1e6 zenon_H2b4 zenon_H261 zenon_H218 zenon_H33a zenon_H336 zenon_H264 zenon_H274 zenon_H1a6 zenon_H19b zenon_H241 zenon_H2a5 zenon_H205 zenon_H342 zenon_H297 zenon_H1d1 zenon_H1a7 zenon_H1b4 zenon_H2af zenon_H291 zenon_H3a9 zenon_H365 zenon_H36e zenon_H368 zenon_H36b zenon_H360 zenon_H35d zenon_H362 zenon_H371 zenon_H42d zenon_H13 zenon_H14 zenon_H39d zenon_H19e zenon_H38e zenon_H387 zenon_H37f zenon_H377 zenon_H391 zenon_H161 zenon_H13f zenon_H126 zenon_H122 zenon_H155 zenon_H9e zenon_Hfa zenon_Hf7 zenon_H19 zenon_H173 zenon_H16a zenon_H178 zenon_H40 zenon_H43 zenon_H16b zenon_H4a zenon_H111 zenon_H160 zenon_H182 zenon_H8b zenon_H12b zenon_H154 zenon_H7b zenon_H10b zenon_H142 zenon_H11e zenon_H3a zenon_H135 zenon_H13a zenon_H11d zenon_H117 zenon_H15e zenon_H2d zenon_H58 zenon_H190 zenon_H17a zenon_H82 zenon_H20 zenon_H24 zenon_Hd6 zenon_H76 zenon_H96 zenon_H99 zenon_H18e zenon_Hae zenon_Hea zenon_Hc7 zenon_H63 zenon_He0 zenon_H108 zenon_H185 zenon_Hd9 zenon_H151 zenon_H146 zenon_H15a zenon_H18d zenon_H33 zenon_Hfd zenon_H6c zenon_H67 zenon_H16c zenon_H15f zenon_H1f zenon_H187 zenon_H180 zenon_H23 zenon_H113 zenon_H4f.
% 49.55/49.67 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H25e | zenon_intro zenon_H286 ].
% 49.55/49.67 apply (zenon_L221_); trivial.
% 49.55/49.67 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H214 | zenon_intro zenon_H287 ].
% 49.55/49.67 apply (zenon_L220_); trivial.
% 49.55/49.67 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H27b | zenon_intro zenon_H215 ].
% 49.55/49.67 apply (zenon_L209_); trivial.
% 49.55/49.67 apply (zenon_L815_); trivial.
% 49.55/49.67 (* end of lemma zenon_L816_ *)
% 49.55/49.67 assert (zenon_L817_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e22))) -> ((op2 (e23) (e20)) = (e22)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> (~((e20) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13))))) -> ((h3 (e10)) = (op2 (e22) (e22))) -> ((e20) = (op2 (e22) (e22))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((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) (e10)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (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 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e11))) -> False).
% 49.55/49.67 do 0 intro. intros zenon_H317 zenon_H1f0 zenon_H20c zenon_H241 zenon_H19b zenon_H1a6 zenon_H274 zenon_H28a zenon_H264 zenon_H336 zenon_H33a zenon_H297 zenon_H1d1 zenon_H1a7 zenon_H1b4 zenon_H2af zenon_H291 zenon_H3a9 zenon_H365 zenon_H36e zenon_H368 zenon_H36b zenon_H360 zenon_H35d zenon_H362 zenon_H371 zenon_H42d zenon_H13 zenon_H14 zenon_H39d zenon_H19e zenon_H38e zenon_H387 zenon_H37f zenon_H377 zenon_H391 zenon_H161 zenon_H13f zenon_H126 zenon_H122 zenon_H155 zenon_H9e zenon_Hfa zenon_Hf7 zenon_H19 zenon_H173 zenon_H16a zenon_H178 zenon_H40 zenon_H43 zenon_H16b zenon_H4a zenon_H111 zenon_H160 zenon_H182 zenon_H8b zenon_H12b zenon_H154 zenon_H7b zenon_H10b zenon_H142 zenon_H11e zenon_H3a zenon_H135 zenon_H13a zenon_H11d zenon_H117 zenon_H15e zenon_H2d zenon_H58 zenon_H190 zenon_H17a zenon_H82 zenon_H20 zenon_H24 zenon_Hd6 zenon_H76 zenon_H96 zenon_H99 zenon_H18e zenon_Hae zenon_Hea zenon_Hc7 zenon_H63 zenon_He0 zenon_H108 zenon_H185 zenon_Hd9 zenon_H151 zenon_H146 zenon_H15a zenon_H18d zenon_H33 zenon_Hfd zenon_H6c zenon_H67 zenon_H16c zenon_H15f zenon_H1f zenon_H187 zenon_H180 zenon_H23 zenon_H113 zenon_H4f.
% 49.55/49.67 apply (zenon_or_s _ _ zenon_H317); [ zenon_intro zenon_H20b | zenon_intro zenon_H318 ].
% 49.55/49.67 apply (zenon_L181_); trivial.
% 49.55/49.67 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H305 | zenon_intro zenon_H319 ].
% 49.55/49.67 apply (zenon_L418_); trivial.
% 49.55/49.67 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H290 | zenon_intro zenon_H314 ].
% 49.55/49.67 apply (zenon_L217_); trivial.
% 49.55/49.67 apply (zenon_L814_); trivial.
% 49.55/49.67 (* end of lemma zenon_L817_ *)
% 49.55/49.67 assert (zenon_L818_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> ((op2 (e23) (e21)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e23) (e21)) = (e22)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False).
% 49.55/49.67 do 0 intro. intros zenon_H31f zenon_H305 zenon_H29c zenon_H20f zenon_H2fa zenon_H19e zenon_H14 zenon_H19b zenon_H1b4.
% 49.55/49.67 apply (zenon_or_s _ _ zenon_H31f); [ zenon_intro zenon_H20b | zenon_intro zenon_H320 ].
% 49.55/49.67 apply (zenon_L293_); trivial.
% 49.55/49.67 apply (zenon_or_s _ _ zenon_H320); [ zenon_intro zenon_H29b | zenon_intro zenon_H321 ].
% 49.55/49.67 apply (zenon_L222_); trivial.
% 49.55/49.67 apply (zenon_or_s _ _ zenon_H321); [ zenon_intro zenon_H20c | zenon_intro zenon_H1b3 ].
% 49.55/49.67 apply (zenon_L434_); trivial.
% 49.55/49.67 apply (zenon_L160_); trivial.
% 49.55/49.67 (* end of lemma zenon_L818_ *)
% 49.55/49.67 assert (zenon_L819_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e21)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13))))) -> ((h3 (e10)) = (op2 (e22) (e22))) -> ((e20) = (op2 (e22) (e22))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((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) (e10)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (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 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e11))) -> False).
% 49.55/49.67 do 0 intro. intros zenon_H317 zenon_H331 zenon_H194 zenon_H1b4 zenon_H19b zenon_H2fa zenon_H20f zenon_H29c zenon_H31f zenon_H291 zenon_H3a9 zenon_H365 zenon_H36e zenon_H368 zenon_H36b zenon_H360 zenon_H35d zenon_H362 zenon_H371 zenon_H42d zenon_H13 zenon_H14 zenon_H39d zenon_H19e zenon_H38e zenon_H387 zenon_H37f zenon_H377 zenon_H391 zenon_H161 zenon_H13f zenon_H126 zenon_H122 zenon_H155 zenon_H9e zenon_Hfa zenon_Hf7 zenon_H19 zenon_H173 zenon_H16a zenon_H178 zenon_H40 zenon_H43 zenon_H16b zenon_H4a zenon_H111 zenon_H160 zenon_H182 zenon_H8b zenon_H12b zenon_H154 zenon_H7b zenon_H10b zenon_H142 zenon_H11e zenon_H3a zenon_H135 zenon_H13a zenon_H11d zenon_H117 zenon_H15e zenon_H2d zenon_H58 zenon_H190 zenon_H17a zenon_H82 zenon_H20 zenon_H24 zenon_Hd6 zenon_H76 zenon_H96 zenon_H99 zenon_H18e zenon_Hae zenon_Hea zenon_Hc7 zenon_H63 zenon_He0 zenon_H108 zenon_H185 zenon_Hd9 zenon_H151 zenon_H146 zenon_H15a zenon_H18d zenon_H33 zenon_Hfd zenon_H6c zenon_H67 zenon_H16c zenon_H15f zenon_H1f zenon_H187 zenon_H180 zenon_H23 zenon_H113 zenon_H4f.
% 49.55/49.67 apply (zenon_or_s _ _ zenon_H317); [ zenon_intro zenon_H20b | zenon_intro zenon_H318 ].
% 49.55/49.67 apply (zenon_L382_); trivial.
% 49.55/49.67 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H305 | zenon_intro zenon_H319 ].
% 49.55/49.67 apply (zenon_L818_); trivial.
% 49.55/49.67 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H290 | zenon_intro zenon_H314 ].
% 49.55/49.67 apply (zenon_L217_); trivial.
% 49.55/49.67 apply (zenon_L814_); trivial.
% 49.55/49.67 (* end of lemma zenon_L819_ *)
% 49.55/49.67 assert (zenon_L820_ : (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((e20) = (e21))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (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) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((e21) = (e22))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((e21) = (e23))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((e22) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e10) = (e11))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (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) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e10)) = (op2 (e22) (e22))) -> (~((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e23))) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (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 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e21)) = (e23)) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (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 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False).
% 49.55/49.67 do 0 intro. intros zenon_H2cf zenon_H2b9 zenon_H1c9 zenon_H28d zenon_H19d zenon_H301 zenon_H2d9 zenon_H2e6 zenon_H1e1 zenon_H277 zenon_H1ad zenon_H307 zenon_H2d4 zenon_H2c0 zenon_H2cb zenon_H253 zenon_H2ff zenon_H282 zenon_H25a zenon_H1dd zenon_H228 zenon_H308 zenon_H213 zenon_H210 zenon_H1f0 zenon_H250 zenon_H1fc zenon_H2f4 zenon_H30a zenon_H1d2 zenon_H2d8 zenon_H298 zenon_H2bc zenon_H285 zenon_H1f5 zenon_H2ce zenon_H2fc zenon_H2da zenon_H28b zenon_H1c4 zenon_H2e5 zenon_H1bd zenon_H1ba zenon_H2f2 zenon_H2e4 zenon_H322 zenon_H325 zenon_H4f zenon_H113 zenon_H23 zenon_H180 zenon_H187 zenon_H1f zenon_H15f zenon_H16c zenon_H67 zenon_H6c zenon_Hfd zenon_H33 zenon_H18d zenon_H15a zenon_H146 zenon_H151 zenon_Hd9 zenon_H185 zenon_H108 zenon_He0 zenon_H63 zenon_Hc7 zenon_Hea zenon_Hae zenon_H18e zenon_H99 zenon_H96 zenon_H76 zenon_Hd6 zenon_H24 zenon_H20 zenon_H82 zenon_H17a zenon_H190 zenon_H58 zenon_H2d zenon_H15e zenon_H117 zenon_H11d zenon_H13a zenon_H135 zenon_H3a zenon_H11e zenon_H142 zenon_H10b zenon_H7b zenon_H154 zenon_H12b zenon_H8b zenon_H182 zenon_H160 zenon_H111 zenon_H4a zenon_H16b zenon_H43 zenon_H40 zenon_H178 zenon_H16a zenon_H173 zenon_H19 zenon_Hf7 zenon_Hfa zenon_H9e zenon_H155 zenon_H122 zenon_H126 zenon_H13f zenon_H161 zenon_H391 zenon_H377 zenon_H37f zenon_H387 zenon_H38e zenon_H39d zenon_H13 zenon_H42d zenon_H371 zenon_H362 zenon_H35d zenon_H360 zenon_H36b zenon_H368 zenon_H36e zenon_H365 zenon_H3a9 zenon_H291 zenon_H2af zenon_H1a7 zenon_H1d1 zenon_H297 zenon_H342 zenon_H205 zenon_H2a5 zenon_H241 zenon_H1a6 zenon_H274 zenon_H264 zenon_H336 zenon_H33a zenon_H218 zenon_H261 zenon_H1e6 zenon_H238 zenon_H194 zenon_H331 zenon_H317 zenon_H31f zenon_H305 zenon_H2fa zenon_H29c zenon_H2b4 zenon_H19e zenon_H14 zenon_H19b zenon_H1b4.
% 49.55/49.67 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H2d2 ].
% 49.55/49.67 apply (zenon_L169_); trivial.
% 49.55/49.67 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H1de | zenon_intro zenon_H2d3 ].
% 49.55/49.67 apply (zenon_L816_); trivial.
% 49.55/49.67 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H295 ].
% 49.55/49.67 apply (zenon_L240_); trivial.
% 49.55/49.67 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H20c | zenon_intro zenon_H251 ].
% 49.55/49.67 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H28a | zenon_intro zenon_H326 ].
% 49.55/49.67 apply (zenon_L817_); trivial.
% 49.55/49.67 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H258 | zenon_intro zenon_H327 ].
% 49.55/49.67 apply (zenon_L336_); trivial.
% 49.55/49.67 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H323 | zenon_intro zenon_H242 ].
% 49.55/49.67 apply (zenon_L420_); trivial.
% 49.55/49.67 apply (zenon_L339_); trivial.
% 49.55/49.67 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H20f | zenon_intro zenon_H252 ].
% 49.55/49.67 apply (zenon_L819_); trivial.
% 49.55/49.67 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H215 | zenon_intro zenon_H242 ].
% 49.55/49.67 apply (zenon_L815_); trivial.
% 49.55/49.67 apply (zenon_L339_); trivial.
% 49.55/49.67 (* end of lemma zenon_L820_ *)
% 49.55/49.67 assert (zenon_L821_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((e20) = (e23))) -> ((op2 (e23) (e21)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13))))) -> ((h3 (e10)) = (op2 (e22) (e22))) -> ((e20) = (op2 (e22) (e22))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((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) (e10)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (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 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e11))) -> False).
% 49.55/49.67 do 0 intro. intros zenon_H317 zenon_H331 zenon_H194 zenon_H1a7 zenon_H256 zenon_H291 zenon_H3a9 zenon_H365 zenon_H36e zenon_H368 zenon_H36b zenon_H360 zenon_H35d zenon_H362 zenon_H371 zenon_H42d zenon_H13 zenon_H14 zenon_H39d zenon_H19e zenon_H38e zenon_H387 zenon_H37f zenon_H377 zenon_H391 zenon_H161 zenon_H13f zenon_H126 zenon_H122 zenon_H155 zenon_H9e zenon_Hfa zenon_Hf7 zenon_H19 zenon_H173 zenon_H16a zenon_H178 zenon_H40 zenon_H43 zenon_H16b zenon_H4a zenon_H111 zenon_H160 zenon_H182 zenon_H8b zenon_H12b zenon_H154 zenon_H7b zenon_H10b zenon_H142 zenon_H11e zenon_H3a zenon_H135 zenon_H13a zenon_H11d zenon_H117 zenon_H15e zenon_H2d zenon_H58 zenon_H190 zenon_H17a zenon_H82 zenon_H20 zenon_H24 zenon_Hd6 zenon_H76 zenon_H96 zenon_H99 zenon_H18e zenon_Hae zenon_Hea zenon_Hc7 zenon_H63 zenon_He0 zenon_H108 zenon_H185 zenon_Hd9 zenon_H151 zenon_H146 zenon_H15a zenon_H18d zenon_H33 zenon_Hfd zenon_H6c zenon_H67 zenon_H16c zenon_H15f zenon_H1f zenon_H187 zenon_H180 zenon_H23 zenon_H113 zenon_H4f.
% 49.55/49.67 apply (zenon_or_s _ _ zenon_H317); [ zenon_intro zenon_H20b | zenon_intro zenon_H318 ].
% 49.55/49.67 apply (zenon_L382_); trivial.
% 49.55/49.67 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H305 | zenon_intro zenon_H319 ].
% 49.55/49.67 apply (zenon_L335_); trivial.
% 49.55/49.67 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H290 | zenon_intro zenon_H314 ].
% 49.55/49.67 apply (zenon_L217_); trivial.
% 49.55/49.67 apply (zenon_L814_); trivial.
% 49.55/49.67 (* end of lemma zenon_L821_ *)
% 49.55/49.67 assert (zenon_L822_ : (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((e21) = (e23))) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((e21) = (op2 (e22) (op2 (e22) (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) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e22) (e21)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e23)) = (e21)) -> ((op2 (e20) (e23)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((e21) = (e22))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e21))) -> ((op2 (e23) (e21)) = (e21)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13))))) -> ((h3 (e10)) = (op2 (e22) (e22))) -> ((e20) = (op2 (e22) (e22))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((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) (e10)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (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 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e11))) -> False).
% 49.55/49.67 do 0 intro. intros zenon_H253 zenon_H1d2 zenon_H1d0 zenon_H1fc zenon_H19b zenon_H205 zenon_H317 zenon_H241 zenon_H238 zenon_H1e6 zenon_H228 zenon_H225 zenon_H206 zenon_H218 zenon_H213 zenon_H214 zenon_H210 zenon_H1f0 zenon_H250 zenon_H1c9 zenon_H20e zenon_H291 zenon_H3a9 zenon_H365 zenon_H36e zenon_H368 zenon_H36b zenon_H360 zenon_H35d zenon_H362 zenon_H371 zenon_H42d zenon_H13 zenon_H14 zenon_H39d zenon_H19e zenon_H38e zenon_H387 zenon_H37f zenon_H377 zenon_H391 zenon_H161 zenon_H13f zenon_H126 zenon_H122 zenon_H155 zenon_H9e zenon_Hfa zenon_Hf7 zenon_H19 zenon_H173 zenon_H16a zenon_H178 zenon_H40 zenon_H43 zenon_H16b zenon_H4a zenon_H111 zenon_H160 zenon_H182 zenon_H8b zenon_H12b zenon_H154 zenon_H7b zenon_H10b zenon_H142 zenon_H11e zenon_H3a zenon_H135 zenon_H13a zenon_H11d zenon_H117 zenon_H15e zenon_H2d zenon_H58 zenon_H190 zenon_H17a zenon_H82 zenon_H20 zenon_H24 zenon_Hd6 zenon_H76 zenon_H96 zenon_H99 zenon_H18e zenon_Hae zenon_Hea zenon_Hc7 zenon_H63 zenon_He0 zenon_H108 zenon_H185 zenon_Hd9 zenon_H151 zenon_H146 zenon_H15a zenon_H18d zenon_H33 zenon_Hfd zenon_H6c zenon_H67 zenon_H16c zenon_H15f zenon_H1f zenon_H187 zenon_H180 zenon_H23 zenon_H113 zenon_H4f.
% 49.55/49.67 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H254 ].
% 49.55/49.67 apply (zenon_L169_); trivial.
% 49.55/49.67 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1fb | zenon_intro zenon_H255 ].
% 49.55/49.67 apply (zenon_L178_); trivial.
% 49.55/49.67 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H203 | zenon_intro zenon_H229 ].
% 49.55/49.67 apply (zenon_L180_); trivial.
% 49.55/49.67 apply (zenon_or_s _ _ zenon_H317); [ zenon_intro zenon_H20b | zenon_intro zenon_H318 ].
% 49.55/49.67 apply (zenon_L192_); trivial.
% 49.55/49.67 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H305 | zenon_intro zenon_H319 ].
% 49.55/49.67 apply (zenon_L312_); trivial.
% 49.55/49.67 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H290 | zenon_intro zenon_H314 ].
% 49.55/49.67 apply (zenon_L217_); trivial.
% 49.55/49.67 apply (zenon_L814_); trivial.
% 49.55/49.67 (* end of lemma zenon_L822_ *)
% 49.55/49.67 assert (zenon_L823_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> (~((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)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> ((op2 (e20) (e23)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((e20) = (e21))) -> (~((e21) = (e23))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((e21) = (e22))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13))))) -> ((h3 (e10)) = (op2 (e22) (e22))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((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) (e10)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (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 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e11))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((e20) = (e23))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False).
% 49.55/49.68 do 0 intro. intros zenon_H1ba zenon_H1fc zenon_H213 zenon_H1dd zenon_H1d0 zenon_H25a zenon_H282 zenon_H253 zenon_H206 zenon_H205 zenon_H277 zenon_H228 zenon_H1e6 zenon_H218 zenon_H264 zenon_H1c9 zenon_H1d2 zenon_H271 zenon_H274 zenon_H210 zenon_H285 zenon_H2d9 zenon_H2e6 zenon_H1e1 zenon_H2da zenon_H1ec zenon_H19d zenon_H317 zenon_H241 zenon_H1f0 zenon_H250 zenon_H291 zenon_H3a9 zenon_H365 zenon_H36e zenon_H368 zenon_H36b zenon_H360 zenon_H35d zenon_H362 zenon_H371 zenon_H42d zenon_H13 zenon_H39d zenon_H38e zenon_H387 zenon_H37f zenon_H377 zenon_H391 zenon_H161 zenon_H13f zenon_H126 zenon_H122 zenon_H155 zenon_H9e zenon_Hfa zenon_Hf7 zenon_H19 zenon_H173 zenon_H16a zenon_H178 zenon_H40 zenon_H43 zenon_H16b zenon_H4a zenon_H111 zenon_H160 zenon_H182 zenon_H8b zenon_H12b zenon_H154 zenon_H7b zenon_H10b zenon_H142 zenon_H11e zenon_H3a zenon_H135 zenon_H13a zenon_H11d zenon_H117 zenon_H15e zenon_H2d zenon_H58 zenon_H190 zenon_H17a zenon_H82 zenon_H20 zenon_H24 zenon_Hd6 zenon_H76 zenon_H96 zenon_H99 zenon_H18e zenon_Hae zenon_Hea zenon_Hc7 zenon_H63 zenon_He0 zenon_H108 zenon_H185 zenon_Hd9 zenon_H151 zenon_H146 zenon_H15a zenon_H18d zenon_H33 zenon_Hfd zenon_H6c zenon_H67 zenon_H16c zenon_H15f zenon_H1f zenon_H187 zenon_H180 zenon_H23 zenon_H113 zenon_H4f zenon_H1f5 zenon_H307 zenon_H2ce zenon_H1a7 zenon_H2db zenon_H1ad zenon_H19e zenon_H14 zenon_H19b zenon_H1b4.
% 49.55/49.68 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ].
% 49.55/49.68 apply (zenon_L156_); trivial.
% 49.55/49.68 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ].
% 49.55/49.68 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2dd ].
% 49.55/49.68 apply (zenon_L158_); trivial.
% 49.55/49.68 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1da | zenon_intro zenon_H2de ].
% 49.55/49.68 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H2df ].
% 49.55/49.68 apply (zenon_L170_); trivial.
% 49.55/49.68 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H1db | zenon_intro zenon_H2e0 ].
% 49.55/49.68 apply (zenon_L171_); trivial.
% 49.55/49.68 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1de | zenon_intro zenon_H225 ].
% 49.55/49.68 apply (zenon_L172_); trivial.
% 49.55/49.68 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H2eb ].
% 49.55/49.68 apply (zenon_L173_); trivial.
% 49.55/49.68 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H1db | zenon_intro zenon_H2ec ].
% 49.55/49.68 apply (zenon_L171_); trivial.
% 49.55/49.68 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H20e ].
% 49.55/49.68 apply (zenon_L174_); trivial.
% 49.55/49.68 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H1ed | zenon_intro zenon_H2e1 ].
% 49.55/49.68 apply (zenon_L175_); trivial.
% 49.55/49.68 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H1ef | zenon_intro zenon_H2e2 ].
% 49.55/49.68 apply (zenon_L176_); trivial.
% 49.55/49.68 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H214 | zenon_intro zenon_H258 ].
% 49.55/49.68 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d0 ].
% 49.55/49.68 apply (zenon_L444_); trivial.
% 49.55/49.68 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H2d1 ].
% 49.55/49.68 apply (zenon_L177_); trivial.
% 49.55/49.68 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H238 | zenon_intro zenon_H256 ].
% 49.55/49.68 apply (zenon_L822_); trivial.
% 49.55/49.68 apply (zenon_L194_); trivial.
% 49.55/49.68 apply (zenon_L195_); trivial.
% 49.55/49.68 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H25b | zenon_intro zenon_H261 ].
% 49.55/49.68 apply (zenon_L196_); trivial.
% 49.55/49.68 apply (zenon_L213_); trivial.
% 49.55/49.68 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ].
% 49.55/49.68 apply (zenon_L159_); trivial.
% 49.55/49.68 apply (zenon_L160_); trivial.
% 49.55/49.68 (* end of lemma zenon_L823_ *)
% 49.55/49.68 assert (zenon_L824_ : (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e21)) = (e20)) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13))))) -> ((h3 (e10)) = (op2 (e22) (e22))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((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) (e10)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (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 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e11))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e22))) -> ((op2 (e23) (e22)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((e22) = (e23))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e21) = (e23))) -> (~((e20) = (e21))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False).
% 49.55/49.68 do 0 intro. intros zenon_H253 zenon_H1b4 zenon_H2b4 zenon_H29c zenon_H2fa zenon_H305 zenon_H31f zenon_H2af zenon_H1a7 zenon_H308 zenon_H291 zenon_H317 zenon_H331 zenon_H194 zenon_H3a9 zenon_H365 zenon_H36e zenon_H368 zenon_H36b zenon_H360 zenon_H35d zenon_H362 zenon_H371 zenon_H42d zenon_H13 zenon_H39d zenon_H38e zenon_H387 zenon_H37f zenon_H377 zenon_H391 zenon_H161 zenon_H13f zenon_H126 zenon_H122 zenon_H155 zenon_H9e zenon_Hfa zenon_Hf7 zenon_H19 zenon_H173 zenon_H16a zenon_H178 zenon_H40 zenon_H43 zenon_H16b zenon_H4a zenon_H111 zenon_H160 zenon_H182 zenon_H8b zenon_H12b zenon_H154 zenon_H7b zenon_H10b zenon_H142 zenon_H11e zenon_H3a zenon_H135 zenon_H13a zenon_H11d zenon_H117 zenon_H15e zenon_H2d zenon_H58 zenon_H190 zenon_H17a zenon_H82 zenon_H20 zenon_H24 zenon_Hd6 zenon_H76 zenon_H96 zenon_H99 zenon_H18e zenon_Hae zenon_Hea zenon_Hc7 zenon_H63 zenon_He0 zenon_H108 zenon_H185 zenon_Hd9 zenon_H151 zenon_H146 zenon_H15a zenon_H18d zenon_H33 zenon_Hfd zenon_H6c zenon_H67 zenon_H16c zenon_H15f zenon_H1f zenon_H187 zenon_H180 zenon_H23 zenon_H113 zenon_H4f zenon_H325 zenon_H297 zenon_H33a zenon_H336 zenon_H274 zenon_H1a6 zenon_H241 zenon_H1f0 zenon_H295 zenon_H322 zenon_H250 zenon_H277 zenon_H1ad zenon_H28b zenon_H2bc zenon_H2d4 zenon_H210 zenon_H2a5 zenon_H1fc zenon_H205 zenon_H271 zenon_H1d2 zenon_H1c9 zenon_H261 zenon_H264 zenon_H19b zenon_H218 zenon_H206 zenon_H25a zenon_H214 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H228.
% 49.55/49.68 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H254 ].
% 49.55/49.68 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H260 | zenon_intro zenon_H272 ].
% 49.55/49.68 apply (zenon_L368_); trivial.
% 49.55/49.68 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H225 | zenon_intro zenon_H273 ].
% 49.55/49.68 apply (zenon_L199_); trivial.
% 49.55/49.68 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H263 | zenon_intro zenon_H26d ].
% 49.55/49.68 apply (zenon_L200_); trivial.
% 49.55/49.68 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H20c | zenon_intro zenon_H251 ].
% 49.55/49.68 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H28a | zenon_intro zenon_H326 ].
% 49.55/49.68 apply (zenon_L817_); trivial.
% 49.55/49.68 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H258 | zenon_intro zenon_H327 ].
% 49.55/49.68 apply (zenon_L336_); trivial.
% 49.55/49.68 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H323 | zenon_intro zenon_H242 ].
% 49.55/49.68 apply (zenon_L451_); trivial.
% 49.55/49.68 apply (zenon_L339_); trivial.
% 49.55/49.68 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H20f | zenon_intro zenon_H252 ].
% 49.55/49.68 apply (zenon_L819_); trivial.
% 49.55/49.68 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H215 | zenon_intro zenon_H242 ].
% 49.55/49.68 apply (zenon_L449_); trivial.
% 49.55/49.68 apply (zenon_L339_); trivial.
% 49.55/49.68 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1fb | zenon_intro zenon_H255 ].
% 49.55/49.68 apply (zenon_L178_); trivial.
% 49.55/49.68 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H203 | zenon_intro zenon_H229 ].
% 49.55/49.68 apply (zenon_L180_); trivial.
% 49.55/49.68 apply (zenon_L204_); trivial.
% 49.55/49.68 (* end of lemma zenon_L824_ *)
% 49.55/49.68 assert (zenon_L825_ : ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((e10) = (e11))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (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) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e10)) = (op2 (e22) (e22))) -> (~((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e21) = (e22))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> ((op2 (e22) (e20)) = (e21)) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e23)) = (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) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (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) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((e22) = (e23))) -> (~((e21) = (e23))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (e20) (e20)) = (e20)) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((e20) = (e23))) -> ((op2 (e23) (e21)) = (e20)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> False).
% 49.55/49.68 do 0 intro. intros zenon_H1ec zenon_H1e1 zenon_H1a6 zenon_H274 zenon_H336 zenon_H33a zenon_H4f zenon_H113 zenon_H23 zenon_H180 zenon_H187 zenon_H1f zenon_H15f zenon_H16c zenon_H67 zenon_H6c zenon_Hfd zenon_H33 zenon_H18d zenon_H15a zenon_H146 zenon_H151 zenon_Hd9 zenon_H185 zenon_H108 zenon_He0 zenon_H63 zenon_Hc7 zenon_Hea zenon_Hae zenon_H18e zenon_H99 zenon_H96 zenon_H76 zenon_Hd6 zenon_H24 zenon_H20 zenon_H82 zenon_H17a zenon_H190 zenon_H58 zenon_H2d zenon_H15e zenon_H117 zenon_H11d zenon_H13a zenon_H135 zenon_H3a zenon_H11e zenon_H142 zenon_H10b zenon_H7b zenon_H154 zenon_H12b zenon_H8b zenon_H182 zenon_H160 zenon_H111 zenon_H4a zenon_H16b zenon_H43 zenon_H40 zenon_H178 zenon_H16a zenon_H173 zenon_H19 zenon_Hf7 zenon_Hfa zenon_H9e zenon_H155 zenon_H122 zenon_H126 zenon_H13f zenon_H161 zenon_H391 zenon_H377 zenon_H37f zenon_H387 zenon_H38e zenon_H39d zenon_H13 zenon_H42d zenon_H371 zenon_H362 zenon_H35d zenon_H360 zenon_H36b zenon_H368 zenon_H36e zenon_H365 zenon_H3a9 zenon_H331 zenon_H271 zenon_H210 zenon_H28d zenon_H1ad zenon_H2db zenon_H2d9 zenon_H30a zenon_H30d zenon_H250 zenon_H1f0 zenon_H2a5 zenon_H31c zenon_H241 zenon_H317 zenon_H2ff zenon_H253 zenon_H2c0 zenon_H205 zenon_H2cb zenon_H2d4 zenon_H307 zenon_H277 zenon_H2e6 zenon_H301 zenon_H2cf zenon_H29c zenon_H2a0 zenon_H31a zenon_H282 zenon_H25a zenon_H213 zenon_H1dd zenon_H1fc zenon_H19d zenon_H1ba zenon_H28b zenon_H1d2 zenon_H2fc zenon_H297 zenon_H298 zenon_H2b9 zenon_H325 zenon_H322 zenon_H1f5 zenon_H2ce zenon_H2bc zenon_H285 zenon_H2ed zenon_H328 zenon_H31f zenon_H2fa zenon_H195 zenon_H194 zenon_H2da zenon_H2d8 zenon_H1c9 zenon_H264 zenon_H2af zenon_H1b4 zenon_H19b zenon_H1a7 zenon_H305 zenon_H228 zenon_H308 zenon_H218 zenon_H206 zenon_H261 zenon_H2b4 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H291.
% 49.55/49.68 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H2d2 ].
% 49.55/49.68 apply (zenon_L823_); trivial.
% 49.55/49.68 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H1de | zenon_intro zenon_H2d3 ].
% 49.55/49.68 apply (zenon_L450_); trivial.
% 49.55/49.68 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H295 ].
% 49.55/49.68 apply (zenon_L240_); trivial.
% 49.55/49.68 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H25e | zenon_intro zenon_H286 ].
% 49.55/49.68 apply (zenon_L322_); trivial.
% 49.55/49.68 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H214 | zenon_intro zenon_H287 ].
% 49.55/49.68 apply (zenon_L824_); trivial.
% 49.55/49.68 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H27b | zenon_intro zenon_H215 ].
% 49.55/49.68 apply (zenon_L211_); trivial.
% 49.55/49.68 apply (zenon_L452_); trivial.
% 49.55/49.68 (* end of lemma zenon_L825_ *)
% 49.55/49.68 assert (zenon_L826_ : (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((e21) = (e23))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e23)) = (e20)) -> ((op2 (e20) (e23)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e22)) = (e21)) -> (~((e20) = (e21))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e22)) -> (~((e22) = (e23))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> ((op2 (e23) (e21)) = (e20)) -> (~((e20) = (e23))) -> False).
% 49.55/49.68 do 0 intro. intros zenon_H2ce zenon_H1d2 zenon_H1c8 zenon_H1f5 zenon_H228 zenon_H19e zenon_H14 zenon_H1e6 zenon_H308 zenon_H261 zenon_H206 zenon_H218 zenon_H213 zenon_H1de zenon_H1c9 zenon_H19b zenon_H29c zenon_H2a0 zenon_H205 zenon_H1fc zenon_H25e zenon_H28b zenon_H253 zenon_H305 zenon_H1a7.
% 49.55/49.68 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d0 ].
% 49.55/49.68 apply (zenon_L265_); trivial.
% 49.55/49.68 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H2d1 ].
% 49.55/49.68 apply (zenon_L177_); trivial.
% 49.55/49.68 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H238 | zenon_intro zenon_H256 ].
% 49.55/49.68 apply (zenon_L397_); trivial.
% 49.55/49.68 apply (zenon_L335_); trivial.
% 49.55/49.68 (* end of lemma zenon_L826_ *)
% 49.55/49.68 assert (zenon_L827_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((e20) = (e23))) -> ((op2 (e23) (e21)) = (e20)) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((e22) = (e23))) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((e20) = (e21))) -> ((op2 (e21) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((e21) = (e23))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13))))) -> ((h3 (e10)) = (op2 (e22) (e22))) -> ((e20) = (op2 (e22) (e22))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((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) (e10)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (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 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e11))) -> False).
% 49.55/49.68 do 0 intro. intros zenon_H348 zenon_H19d zenon_H28d zenon_H1a7 zenon_H305 zenon_H253 zenon_H28b zenon_H25e zenon_H1fc zenon_H205 zenon_H2a0 zenon_H29c zenon_H19b zenon_H1c9 zenon_H1de zenon_H213 zenon_H218 zenon_H206 zenon_H308 zenon_H1e6 zenon_H228 zenon_H1f5 zenon_H1c8 zenon_H1d2 zenon_H2ce zenon_H336 zenon_H3a9 zenon_H365 zenon_H36e zenon_H368 zenon_H36b zenon_H360 zenon_H35d zenon_H362 zenon_H371 zenon_H42d zenon_H13 zenon_H14 zenon_H39d zenon_H19e zenon_H38e zenon_H387 zenon_H37f zenon_H377 zenon_H391 zenon_H161 zenon_H13f zenon_H126 zenon_H122 zenon_H155 zenon_H9e zenon_Hfa zenon_Hf7 zenon_H19 zenon_H173 zenon_H16a zenon_H178 zenon_H40 zenon_H43 zenon_H16b zenon_H4a zenon_H111 zenon_H160 zenon_H182 zenon_H8b zenon_H12b zenon_H154 zenon_H7b zenon_H10b zenon_H142 zenon_H11e zenon_H3a zenon_H135 zenon_H13a zenon_H11d zenon_H117 zenon_H15e zenon_H2d zenon_H58 zenon_H190 zenon_H17a zenon_H82 zenon_H20 zenon_H24 zenon_Hd6 zenon_H76 zenon_H96 zenon_H99 zenon_H18e zenon_Hae zenon_Hea zenon_Hc7 zenon_H63 zenon_He0 zenon_H108 zenon_H185 zenon_Hd9 zenon_H151 zenon_H146 zenon_H15a zenon_H18d zenon_H33 zenon_Hfd zenon_H6c zenon_H67 zenon_H16c zenon_H15f zenon_H1f zenon_H187 zenon_H180 zenon_H23 zenon_H113 zenon_H4f.
% 49.55/49.68 apply (zenon_or_s _ _ zenon_H348); [ zenon_intro zenon_H2f1 | zenon_intro zenon_H349 ].
% 49.55/49.68 apply (zenon_L290_); trivial.
% 49.55/49.68 apply (zenon_or_s _ _ zenon_H349); [ zenon_intro zenon_H261 | zenon_intro zenon_H34a ].
% 49.55/49.68 apply (zenon_L826_); trivial.
% 49.55/49.68 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H335 | zenon_intro zenon_H314 ].
% 49.55/49.68 apply (zenon_L386_); trivial.
% 49.55/49.68 apply (zenon_L814_); trivial.
% 49.55/49.68 (* end of lemma zenon_L827_ *)
% 49.55/49.68 assert (zenon_L828_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> ((op2 (e23) (e20)) = (e20)) -> (~((e21) = (e22))) -> ((op2 (e23) (e21)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> False).
% 49.55/49.68 do 0 intro. intros zenon_H250 zenon_H1f0 zenon_H20b zenon_H210 zenon_H20e zenon_H1fc zenon_H19b zenon_H14 zenon_H19e zenon_H213 zenon_H1dd zenon_H1d0 zenon_H25a zenon_H282 zenon_H218 zenon_H28a.
% 49.55/49.68 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H20c | zenon_intro zenon_H251 ].
% 49.55/49.68 apply (zenon_L181_); trivial.
% 49.55/49.68 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H20f | zenon_intro zenon_H252 ].
% 49.55/49.68 apply (zenon_L182_); trivial.
% 49.55/49.68 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H215 | zenon_intro zenon_H242 ].
% 49.55/49.68 apply (zenon_L212_); trivial.
% 49.55/49.68 apply (zenon_L703_); trivial.
% 49.55/49.68 (* end of lemma zenon_L828_ *)
% 49.55/49.68 assert (zenon_L829_ : (~(((h3 (e10)) = (e23))\/(((h3 (e11)) = (e23))\/(((h3 (e12)) = (e23))\/((h3 (e13)) = (e23)))))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> False).
% 49.55/49.68 do 0 intro. intros zenon_H433 zenon_H39d zenon_H19e.
% 49.55/49.68 apply (zenon_notor_s _ _ zenon_H433). zenon_intro zenon_H435. zenon_intro zenon_H434.
% 49.55/49.68 apply (zenon_notor_s _ _ zenon_H434). zenon_intro zenon_H437. zenon_intro zenon_H436.
% 49.55/49.68 apply (zenon_notor_s _ _ zenon_H436). zenon_intro zenon_H438. zenon_intro zenon_H3ac.
% 49.55/49.68 apply (zenon_L656_); trivial.
% 49.55/49.68 (* end of lemma zenon_L829_ *)
% 49.55/49.68 apply NNPP. intro zenon_G.
% 49.55/49.68 apply (zenon_and_s _ _ ax1). zenon_intro zenon_H37b. zenon_intro zenon_H439.
% 49.55/49.68 apply (zenon_and_s _ _ zenon_H439). zenon_intro zenon_H43b. zenon_intro zenon_H43a.
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% 49.57/49.68 apply (zenon_and_s _ _ zenon_H4ed). zenon_intro zenon_H1dd. zenon_intro zenon_H4ee.
% 49.57/49.68 apply (zenon_and_s _ _ zenon_H4ee). zenon_intro zenon_H2ed. zenon_intro zenon_H4ef.
% 49.57/49.68 apply (zenon_and_s _ _ zenon_H4ef). zenon_intro zenon_H297. zenon_intro zenon_H4f0.
% 49.57/49.68 apply (zenon_and_s _ _ zenon_H4f0). zenon_intro zenon_H25a. zenon_intro zenon_H4f1.
% 49.57/49.68 apply (zenon_and_s _ _ zenon_H4f1). zenon_intro zenon_H213. zenon_intro zenon_H4f2.
% 49.57/49.68 apply (zenon_and_s _ _ zenon_H4f2). zenon_intro zenon_H291. zenon_intro zenon_H4f3.
% 49.57/49.68 apply (zenon_and_s _ _ zenon_H4f3). zenon_intro zenon_H205. zenon_intro zenon_H4f4.
% 49.57/49.68 apply (zenon_and_s _ _ zenon_H4f4). zenon_intro zenon_H274. zenon_intro zenon_H4f5.
% 49.57/49.68 apply (zenon_and_s _ _ zenon_H4f5). zenon_intro zenon_H218. zenon_intro zenon_H4f6.
% 49.57/49.68 apply (zenon_and_s _ _ zenon_H4f6). zenon_intro zenon_H2ff. zenon_intro zenon_H4f7.
% 49.57/49.68 apply (zenon_and_s _ _ zenon_H4f7). zenon_intro zenon_H2d4. zenon_intro zenon_H4f8.
% 49.57/49.68 apply (zenon_and_s _ _ zenon_H4f8). zenon_intro zenon_H241. zenon_intro zenon_H4f9.
% 49.57/49.68 apply (zenon_and_s _ _ zenon_H4f9). zenon_intro zenon_H195. zenon_intro zenon_H4fa.
% 49.57/49.68 apply (zenon_and_s _ _ zenon_H4fa). zenon_intro zenon_H4fc. zenon_intro zenon_H4fb.
% 49.57/49.68 apply (zenon_and_s _ _ zenon_H4fb). zenon_intro zenon_H2f2. zenon_intro zenon_H4fd.
% 49.57/49.68 apply (zenon_and_s _ _ zenon_H4fd). zenon_intro zenon_H1e1. zenon_intro zenon_H4fe.
% 49.57/49.68 apply (zenon_and_s _ _ zenon_H4fe). zenon_intro zenon_H2f4. zenon_intro zenon_H4ff.
% 49.57/49.68 apply (zenon_and_s _ _ zenon_H4ff). zenon_intro zenon_H501. zenon_intro zenon_H500.
% 49.57/49.68 apply (zenon_and_s _ _ zenon_H500). zenon_intro zenon_H1f5. zenon_intro zenon_H502.
% 49.57/49.68 apply (zenon_and_s _ _ zenon_H502). zenon_intro zenon_H1fc. zenon_intro zenon_H503.
% 49.57/49.68 apply (zenon_and_s _ _ zenon_H503). zenon_intro zenon_H2c0. zenon_intro zenon_H504.
% 49.57/49.68 apply (zenon_and_s _ _ zenon_H504). zenon_intro zenon_H506. zenon_intro zenon_H505.
% 49.57/49.68 apply (zenon_and_s _ _ zenon_H505). zenon_intro zenon_H508. zenon_intro zenon_H507.
% 49.57/49.68 apply (zenon_and_s _ _ zenon_H507). zenon_intro zenon_H50a. zenon_intro zenon_H509.
% 49.57/49.68 apply (zenon_and_s _ _ zenon_H509). zenon_intro zenon_H1e6. zenon_intro zenon_H50b.
% 49.57/49.68 apply (zenon_and_s _ _ zenon_H50b). zenon_intro zenon_H1bd. zenon_intro zenon_H50c.
% 49.57/49.68 apply (zenon_and_s _ _ zenon_H50c). zenon_intro zenon_H264. zenon_intro zenon_H50d.
% 49.57/49.68 apply (zenon_and_s _ _ zenon_H50d). zenon_intro zenon_H301. zenon_intro zenon_H50e.
% 49.57/49.68 apply (zenon_and_s _ _ zenon_H50e). zenon_intro zenon_H322. zenon_intro zenon_H50f.
% 49.57/49.68 apply (zenon_and_s _ _ zenon_H50f). zenon_intro zenon_H336. zenon_intro zenon_H510.
% 49.57/49.68 apply (zenon_and_s _ _ zenon_H510). zenon_intro zenon_H2fa. zenon_intro zenon_H511.
% 49.57/49.68 apply (zenon_and_s _ _ zenon_H511). zenon_intro zenon_H308. zenon_intro zenon_H512.
% 49.57/49.68 apply (zenon_and_s _ _ zenon_H512). zenon_intro zenon_H2b4. zenon_intro zenon_H513.
% 49.57/49.68 apply (zenon_and_s _ _ zenon_H513). zenon_intro zenon_H228. zenon_intro zenon_H514.
% 49.57/49.68 apply (zenon_and_s _ _ zenon_H514). zenon_intro zenon_H2a5. zenon_intro zenon_H515.
% 49.57/49.68 apply (zenon_and_s _ _ ax7). zenon_intro zenon_H4f. zenon_intro zenon_H516.
% 49.57/49.68 apply (zenon_and_s _ _ zenon_H516). zenon_intro zenon_H76. zenon_intro zenon_H517.
% 49.57/49.68 apply (zenon_and_s _ _ zenon_H517). zenon_intro zenon_H2d. zenon_intro zenon_H518.
% 49.57/49.68 apply (zenon_and_s _ _ zenon_H518). zenon_intro zenon_H96. zenon_intro zenon_H519.
% 49.57/49.68 apply (zenon_and_s _ _ zenon_H519). zenon_intro zenon_H58. zenon_intro zenon_H111.
% 49.57/49.68 apply (zenon_and_s _ _ ax8). zenon_intro zenon_H1c9. zenon_intro zenon_H51a.
% 49.57/49.68 apply (zenon_and_s _ _ zenon_H51a). zenon_intro zenon_H1f0. zenon_intro zenon_H51b.
% 49.57/49.68 apply (zenon_and_s _ _ zenon_H51b). zenon_intro zenon_H1a7. zenon_intro zenon_H51c.
% 49.57/49.68 apply (zenon_and_s _ _ zenon_H51c). zenon_intro zenon_H210. zenon_intro zenon_H51d.
% 49.57/49.68 apply (zenon_and_s _ _ zenon_H51d). zenon_intro zenon_H1d2. zenon_intro zenon_H28b.
% 49.57/49.68 apply (zenon_and_s _ _ ax12). zenon_intro zenon_H1f. zenon_intro zenon_H51e.
% 49.57/49.68 apply (zenon_and_s _ _ zenon_H51e). zenon_intro zenon_H20. zenon_intro zenon_H24.
% 49.57/49.68 apply (zenon_and_s _ _ ax13). zenon_intro zenon_H14. zenon_intro zenon_H51f.
% 49.57/49.68 apply (zenon_and_s _ _ zenon_H51f). zenon_intro zenon_H19b. zenon_intro zenon_H19e.
% 49.57/49.68 apply (zenon_and_s _ _ ax16). zenon_intro zenon_H3b0. zenon_intro zenon_H520.
% 49.57/49.68 apply (zenon_and_s _ _ zenon_H520). zenon_intro zenon_H13. zenon_intro zenon_H521.
% 49.57/49.68 apply (zenon_and_s _ _ zenon_H521). zenon_intro zenon_H39a. zenon_intro zenon_H39d.
% 49.57/49.68 apply (zenon_notor_s _ _ zenon_G). zenon_intro zenon_H523. zenon_intro zenon_H522.
% 49.57/49.68 apply (zenon_notor_s _ _ zenon_H522). zenon_intro zenon_H525. zenon_intro zenon_H524.
% 49.57/49.68 apply (zenon_notor_s _ _ zenon_H524). zenon_intro zenon_H527. zenon_intro zenon_H526.
% 49.57/49.68 apply (zenon_notand_s _ _ zenon_H527); [ zenon_intro zenon_H529 | zenon_intro zenon_H528 ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H487); [ zenon_intro zenon_H194 | zenon_intro zenon_H52a ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H3a9); [ zenon_intro zenon_H18 | zenon_intro zenon_H3aa ].
% 49.57/49.68 cut (((h3 (e10)) = (op2 (e22) (e22))) = ((h3 (op1 (e10) (e10))) = (op2 (h3 (e10)) (h3 (e10))))).
% 49.57/49.68 intro zenon_D_pnotp.
% 49.57/49.68 apply zenon_H529.
% 49.57/49.68 rewrite <- zenon_D_pnotp.
% 49.57/49.68 exact zenon_H13.
% 49.57/49.68 cut (((op2 (e22) (e22)) = (op2 (h3 (e10)) (h3 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H52b].
% 49.57/49.68 cut (((h3 (e10)) = (h3 (op1 (e10) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H52c].
% 49.57/49.68 congruence.
% 49.57/49.68 elim (classic ((h3 (op1 (e10) (e10))) = (h3 (op1 (e10) (e10))))); [ zenon_intro zenon_H52d | zenon_intro zenon_H52e ].
% 49.57/49.68 cut (((h3 (op1 (e10) (e10))) = (h3 (op1 (e10) (e10)))) = ((h3 (e10)) = (h3 (op1 (e10) (e10))))).
% 49.57/49.68 intro zenon_D_pnotp.
% 49.57/49.68 apply zenon_H52c.
% 49.57/49.68 rewrite <- zenon_D_pnotp.
% 49.57/49.68 exact zenon_H52d.
% 49.57/49.68 cut (((h3 (op1 (e10) (e10))) = (h3 (op1 (e10) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H52e].
% 49.57/49.68 cut (((h3 (op1 (e10) (e10))) = (h3 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H52f].
% 49.57/49.68 congruence.
% 49.57/49.68 cut (((op1 (e10) (e10)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H376].
% 49.57/49.68 congruence.
% 49.57/49.68 exact (zenon_H376 zenon_H18).
% 49.57/49.68 apply zenon_H52e. apply refl_equal.
% 49.57/49.68 apply zenon_H52e. apply refl_equal.
% 49.57/49.68 elim (classic ((op2 (h3 (e10)) (h3 (e10))) = (op2 (h3 (e10)) (h3 (e10))))); [ zenon_intro zenon_H530 | zenon_intro zenon_H531 ].
% 49.57/49.68 cut (((op2 (h3 (e10)) (h3 (e10))) = (op2 (h3 (e10)) (h3 (e10)))) = ((op2 (e22) (e22)) = (op2 (h3 (e10)) (h3 (e10))))).
% 49.57/49.68 intro zenon_D_pnotp.
% 49.57/49.68 apply zenon_H52b.
% 49.57/49.68 rewrite <- zenon_D_pnotp.
% 49.57/49.68 exact zenon_H530.
% 49.57/49.68 cut (((op2 (h3 (e10)) (h3 (e10))) = (op2 (h3 (e10)) (h3 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H531].
% 49.57/49.68 cut (((op2 (h3 (e10)) (h3 (e10))) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H532].
% 49.57/49.68 congruence.
% 49.57/49.68 cut (((op2 (e20) (e20)) = (e20)) = ((op2 (h3 (e10)) (h3 (e10))) = (op2 (e22) (e22)))).
% 49.57/49.68 intro zenon_D_pnotp.
% 49.57/49.68 apply zenon_H532.
% 49.57/49.68 rewrite <- zenon_D_pnotp.
% 49.57/49.68 exact zenon_H194.
% 49.57/49.68 cut (((e20) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H3c9].
% 49.57/49.68 cut (((op2 (e20) (e20)) = (op2 (h3 (e10)) (h3 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H533].
% 49.57/49.68 congruence.
% 49.57/49.68 elim (classic ((op2 (h3 (e10)) (h3 (e10))) = (op2 (h3 (e10)) (h3 (e10))))); [ zenon_intro zenon_H530 | zenon_intro zenon_H531 ].
% 49.57/49.68 cut (((op2 (h3 (e10)) (h3 (e10))) = (op2 (h3 (e10)) (h3 (e10)))) = ((op2 (e20) (e20)) = (op2 (h3 (e10)) (h3 (e10))))).
% 49.57/49.68 intro zenon_D_pnotp.
% 49.57/49.68 apply zenon_H533.
% 49.57/49.68 rewrite <- zenon_D_pnotp.
% 49.57/49.68 exact zenon_H530.
% 49.57/49.68 cut (((op2 (h3 (e10)) (h3 (e10))) = (op2 (h3 (e10)) (h3 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H531].
% 49.57/49.68 cut (((op2 (h3 (e10)) (h3 (e10))) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H534].
% 49.57/49.68 congruence.
% 49.57/49.68 cut (((h3 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H12].
% 49.57/49.68 cut (((h3 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H12].
% 49.57/49.68 congruence.
% 49.57/49.68 apply (zenon_L1_); trivial.
% 49.57/49.68 apply (zenon_L1_); trivial.
% 49.57/49.68 apply zenon_H531. apply refl_equal.
% 49.57/49.68 apply zenon_H531. apply refl_equal.
% 49.57/49.68 exact (zenon_H3c9 zenon_H14).
% 49.57/49.68 apply zenon_H531. apply refl_equal.
% 49.57/49.68 apply zenon_H531. apply refl_equal.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H3aa); [ zenon_intro zenon_H17 | zenon_intro zenon_H3ab ].
% 49.57/49.68 apply (zenon_L110_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H3ab); [ zenon_intro zenon_H174 | zenon_intro zenon_H177 ].
% 49.57/49.68 apply (zenon_L111_); trivial.
% 49.57/49.68 apply (zenon_L153_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H52a); [ zenon_intro zenon_H193 | zenon_intro zenon_H535 ].
% 49.57/49.68 apply (zenon_L262_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H535); [ zenon_intro zenon_H2ee | zenon_intro zenon_H2f1 ].
% 49.57/49.68 apply (zenon_L263_); trivial.
% 49.57/49.68 apply (zenon_L306_); trivial.
% 49.57/49.68 apply (zenon_notand_s _ _ zenon_H528); [ zenon_intro zenon_H39c | zenon_intro zenon_H536 ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H487); [ zenon_intro zenon_H194 | zenon_intro zenon_H52a ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H2e9 ].
% 49.57/49.68 apply (zenon_L165_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H2ea ].
% 49.57/49.68 apply (zenon_L475_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H260 ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H19f | zenon_intro zenon_H28e ].
% 49.57/49.68 apply (zenon_L156_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28f ].
% 49.57/49.68 apply (zenon_L654_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H206 ].
% 49.57/49.68 apply (zenon_L169_); trivial.
% 49.57/49.68 apply (zenon_L655_); trivial.
% 49.57/49.68 apply (zenon_L380_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H52a); [ zenon_intro zenon_H193 | zenon_intro zenon_H535 ].
% 49.57/49.68 apply (zenon_L262_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H535); [ zenon_intro zenon_H2ee | zenon_intro zenon_H2f1 ].
% 49.57/49.68 apply (zenon_L263_); trivial.
% 49.57/49.68 apply (zenon_L306_); trivial.
% 49.57/49.68 apply (zenon_notand_s _ _ zenon_H536); [ zenon_intro zenon_H538 | zenon_intro zenon_H537 ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H487); [ zenon_intro zenon_H194 | zenon_intro zenon_H52a ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H2e9 ].
% 49.57/49.68 apply (zenon_L165_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H2ea ].
% 49.57/49.68 apply (zenon_L475_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H260 ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H3a9); [ zenon_intro zenon_H18 | zenon_intro zenon_H3aa ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H4b | zenon_intro zenon_H16f ].
% 49.57/49.68 apply (zenon_L13_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H4e | zenon_intro zenon_H170 ].
% 49.57/49.68 apply (zenon_L650_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H56 | zenon_intro zenon_He6 ].
% 49.57/49.68 cut (((h3 (e11)) = (op2 (e22) (op2 (e22) (e22)))) = ((h3 (op1 (e10) (e12))) = (op2 (h3 (e10)) (h3 (e12))))).
% 49.57/49.68 intro zenon_D_pnotp.
% 49.57/49.68 apply zenon_H538.
% 49.57/49.68 rewrite <- zenon_D_pnotp.
% 49.57/49.68 exact zenon_H39a.
% 49.57/49.68 cut (((op2 (e22) (op2 (e22) (e22))) = (op2 (h3 (e10)) (h3 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H539].
% 49.57/49.68 cut (((h3 (e11)) = (h3 (op1 (e10) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H53a].
% 49.57/49.68 congruence.
% 49.57/49.68 elim (classic ((h3 (op1 (e10) (e12))) = (h3 (op1 (e10) (e12))))); [ zenon_intro zenon_H53b | zenon_intro zenon_H53c ].
% 49.57/49.68 cut (((h3 (op1 (e10) (e12))) = (h3 (op1 (e10) (e12)))) = ((h3 (e11)) = (h3 (op1 (e10) (e12))))).
% 49.57/49.68 intro zenon_D_pnotp.
% 49.57/49.68 apply zenon_H53a.
% 49.57/49.68 rewrite <- zenon_D_pnotp.
% 49.57/49.68 exact zenon_H53b.
% 49.57/49.68 cut (((h3 (op1 (e10) (e12))) = (h3 (op1 (e10) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H53c].
% 49.57/49.68 cut (((h3 (op1 (e10) (e12))) = (h3 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H53d].
% 49.57/49.68 congruence.
% 49.57/49.68 cut (((op1 (e10) (e12)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H53e].
% 49.57/49.68 congruence.
% 49.57/49.68 exact (zenon_H53e zenon_H56).
% 49.57/49.68 apply zenon_H53c. apply refl_equal.
% 49.57/49.68 apply zenon_H53c. apply refl_equal.
% 49.57/49.68 elim (classic ((op2 (h3 (e10)) (h3 (e12))) = (op2 (h3 (e10)) (h3 (e12))))); [ zenon_intro zenon_H53f | zenon_intro zenon_H540 ].
% 49.57/49.68 cut (((op2 (h3 (e10)) (h3 (e12))) = (op2 (h3 (e10)) (h3 (e12)))) = ((op2 (e22) (op2 (e22) (e22))) = (op2 (h3 (e10)) (h3 (e12))))).
% 49.57/49.68 intro zenon_D_pnotp.
% 49.57/49.68 apply zenon_H539.
% 49.57/49.68 rewrite <- zenon_D_pnotp.
% 49.57/49.68 exact zenon_H53f.
% 49.57/49.68 cut (((op2 (h3 (e10)) (h3 (e12))) = (op2 (h3 (e10)) (h3 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H540].
% 49.57/49.68 cut (((op2 (h3 (e10)) (h3 (e12))) = (op2 (e22) (op2 (e22) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H541].
% 49.57/49.68 congruence.
% 49.57/49.68 cut (((op2 (e20) (e22)) = (e21)) = ((op2 (h3 (e10)) (h3 (e12))) = (op2 (e22) (op2 (e22) (e22))))).
% 49.57/49.68 intro zenon_D_pnotp.
% 49.57/49.68 apply zenon_H541.
% 49.57/49.68 rewrite <- zenon_D_pnotp.
% 49.57/49.68 exact zenon_H1d0.
% 49.57/49.68 cut (((e21) = (op2 (e22) (op2 (e22) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H3e2].
% 49.57/49.68 cut (((op2 (e20) (e22)) = (op2 (h3 (e10)) (h3 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H542].
% 49.57/49.68 congruence.
% 49.57/49.68 elim (classic ((op2 (h3 (e10)) (h3 (e12))) = (op2 (h3 (e10)) (h3 (e12))))); [ zenon_intro zenon_H53f | zenon_intro zenon_H540 ].
% 49.57/49.68 cut (((op2 (h3 (e10)) (h3 (e12))) = (op2 (h3 (e10)) (h3 (e12)))) = ((op2 (e20) (e22)) = (op2 (h3 (e10)) (h3 (e12))))).
% 49.57/49.68 intro zenon_D_pnotp.
% 49.57/49.68 apply zenon_H542.
% 49.57/49.68 rewrite <- zenon_D_pnotp.
% 49.57/49.68 exact zenon_H53f.
% 49.57/49.68 cut (((op2 (h3 (e10)) (h3 (e12))) = (op2 (h3 (e10)) (h3 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H540].
% 49.57/49.68 cut (((op2 (h3 (e10)) (h3 (e12))) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H543].
% 49.57/49.68 congruence.
% 49.57/49.68 cut (((h3 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H3d8].
% 49.57/49.68 cut (((h3 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H12].
% 49.57/49.68 congruence.
% 49.57/49.68 apply (zenon_L1_); trivial.
% 49.57/49.68 exact (zenon_H3d8 zenon_H3b0).
% 49.57/49.68 apply zenon_H540. apply refl_equal.
% 49.57/49.68 apply zenon_H540. apply refl_equal.
% 49.57/49.68 exact (zenon_H3e2 zenon_H19b).
% 49.57/49.68 apply zenon_H540. apply refl_equal.
% 49.57/49.68 apply zenon_H540. apply refl_equal.
% 49.57/49.68 apply (zenon_L550_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H3aa); [ zenon_intro zenon_H17 | zenon_intro zenon_H3ab ].
% 49.57/49.68 apply (zenon_L110_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H3ab); [ zenon_intro zenon_H174 | zenon_intro zenon_H177 ].
% 49.57/49.68 apply (zenon_L111_); trivial.
% 49.57/49.68 apply (zenon_L153_); trivial.
% 49.57/49.68 apply (zenon_L380_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H52a); [ zenon_intro zenon_H193 | zenon_intro zenon_H535 ].
% 49.57/49.68 apply (zenon_L262_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H535); [ zenon_intro zenon_H2ee | zenon_intro zenon_H2f1 ].
% 49.57/49.68 apply (zenon_L263_); trivial.
% 49.57/49.68 apply (zenon_L306_); trivial.
% 49.57/49.68 apply (zenon_notand_s _ _ zenon_H537); [ zenon_intro zenon_H3af | zenon_intro zenon_H544 ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H487); [ zenon_intro zenon_H194 | zenon_intro zenon_H52a ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H2e9 ].
% 49.57/49.68 apply (zenon_L165_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H2ea ].
% 49.57/49.68 apply (zenon_L475_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H260 ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H32c ].
% 49.57/49.68 apply (zenon_L165_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H32d ].
% 49.57/49.68 apply (zenon_L170_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H30d | zenon_intro zenon_H29b ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H1ec | zenon_intro zenon_H2dc ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H19f | zenon_intro zenon_H28e ].
% 49.57/49.68 apply (zenon_L156_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28f ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ].
% 49.57/49.68 apply (zenon_L156_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2dd ].
% 49.57/49.68 apply (zenon_L158_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1da | zenon_intro zenon_H2de ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H2df ].
% 49.57/49.68 apply (zenon_L170_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H1db | zenon_intro zenon_H2e0 ].
% 49.57/49.68 apply (zenon_L171_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1de | zenon_intro zenon_H225 ].
% 49.57/49.68 apply (zenon_L172_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H2eb ].
% 49.57/49.68 apply (zenon_L464_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H1db | zenon_intro zenon_H2ec ].
% 49.57/49.68 apply (zenon_L171_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H20e ].
% 49.57/49.68 apply (zenon_L174_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H1ed | zenon_intro zenon_H2e1 ].
% 49.57/49.68 apply (zenon_L445_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H1ef | zenon_intro zenon_H2e2 ].
% 49.57/49.68 apply (zenon_L176_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H214 | zenon_intro zenon_H258 ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H317); [ zenon_intro zenon_H20b | zenon_intro zenon_H318 ].
% 49.57/49.68 apply (zenon_L382_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H305 | zenon_intro zenon_H319 ].
% 49.57/49.68 apply (zenon_L312_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H290 | zenon_intro zenon_H314 ].
% 49.57/49.68 apply (zenon_L217_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H20c | zenon_intro zenon_H251 ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H28a | zenon_intro zenon_H326 ].
% 49.57/49.68 apply (zenon_L666_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H258 | zenon_intro zenon_H327 ].
% 49.57/49.68 apply (zenon_L195_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H323 | zenon_intro zenon_H242 ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H342); [ zenon_intro zenon_H2f1 | zenon_intro zenon_H343 ].
% 49.57/49.68 apply (zenon_L406_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H343); [ zenon_intro zenon_H260 | zenon_intro zenon_H344 ].
% 49.57/49.68 apply (zenon_L328_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H344); [ zenon_intro zenon_H28a | zenon_intro zenon_H206 ].
% 49.57/49.68 apply (zenon_L400_); trivial.
% 49.57/49.68 apply (zenon_L667_); trivial.
% 49.57/49.68 apply (zenon_L391_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H20f | zenon_intro zenon_H252 ].
% 49.57/49.68 apply (zenon_L435_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H215 | zenon_intro zenon_H242 ].
% 49.57/49.68 apply (zenon_L183_); trivial.
% 49.57/49.68 apply (zenon_L391_); trivial.
% 49.57/49.68 apply (zenon_L195_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H25b | zenon_intro zenon_H261 ].
% 49.57/49.68 apply (zenon_L196_); trivial.
% 49.57/49.68 apply (zenon_L673_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ].
% 49.57/49.68 apply (zenon_L159_); trivial.
% 49.57/49.68 apply (zenon_L160_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H206 ].
% 49.57/49.68 apply (zenon_L169_); trivial.
% 49.57/49.68 apply (zenon_L655_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H288 | zenon_intro zenon_H2e3 ].
% 49.57/49.68 apply (zenon_L674_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H25e | zenon_intro zenon_H28a ].
% 49.57/49.68 apply (zenon_L197_); trivial.
% 49.57/49.68 apply (zenon_L666_); trivial.
% 49.57/49.68 apply (zenon_L222_); trivial.
% 49.57/49.68 apply (zenon_L380_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H52a); [ zenon_intro zenon_H193 | zenon_intro zenon_H535 ].
% 49.57/49.68 apply (zenon_L262_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H535); [ zenon_intro zenon_H2ee | zenon_intro zenon_H2f1 ].
% 49.57/49.68 apply (zenon_L263_); trivial.
% 49.57/49.68 apply (zenon_L306_); trivial.
% 49.57/49.68 apply (zenon_notand_s _ _ zenon_H544); [ zenon_intro zenon_H546 | zenon_intro zenon_H545 ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H25 | zenon_intro zenon_H41 ].
% 49.57/49.68 apply (zenon_L4_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H2c | zenon_intro zenon_H42 ].
% 49.57/49.68 cut (((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) = ((h3 (op1 (e11) (e10))) = (op2 (h3 (e11)) (h3 (e10))))).
% 49.57/49.68 intro zenon_D_pnotp.
% 49.57/49.68 apply zenon_H546.
% 49.57/49.68 rewrite <- zenon_D_pnotp.
% 49.57/49.68 exact zenon_H39d.
% 49.57/49.68 cut (((op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22))) = (op2 (h3 (e11)) (h3 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H547].
% 49.57/49.68 cut (((h3 (e13)) = (h3 (op1 (e11) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H548].
% 49.57/49.68 congruence.
% 49.57/49.68 elim (classic ((h3 (op1 (e11) (e10))) = (h3 (op1 (e11) (e10))))); [ zenon_intro zenon_H549 | zenon_intro zenon_H54a ].
% 49.57/49.68 cut (((h3 (op1 (e11) (e10))) = (h3 (op1 (e11) (e10)))) = ((h3 (e13)) = (h3 (op1 (e11) (e10))))).
% 49.57/49.68 intro zenon_D_pnotp.
% 49.57/49.68 apply zenon_H548.
% 49.57/49.68 rewrite <- zenon_D_pnotp.
% 49.57/49.68 exact zenon_H549.
% 49.57/49.68 cut (((h3 (op1 (e11) (e10))) = (h3 (op1 (e11) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H54a].
% 49.57/49.68 cut (((h3 (op1 (e11) (e10))) = (h3 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H54b].
% 49.57/49.68 congruence.
% 49.57/49.68 cut (((op1 (e11) (e10)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H31].
% 49.57/49.68 congruence.
% 49.57/49.68 exact (zenon_H31 zenon_H2c).
% 49.57/49.68 apply zenon_H54a. apply refl_equal.
% 49.57/49.68 apply zenon_H54a. apply refl_equal.
% 49.57/49.68 cut (((op2 (e22) (e22)) = (h3 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H54c].
% 49.57/49.68 cut (((op2 (e22) (op2 (e22) (e22))) = (h3 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H54d].
% 49.57/49.68 congruence.
% 49.57/49.68 apply zenon_H54d. apply sym_equal. exact zenon_H39a.
% 49.57/49.68 apply zenon_H54c. apply sym_equal. exact zenon_H13.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H39 ].
% 49.57/49.68 apply (zenon_L7_); trivial.
% 49.57/49.68 apply (zenon_L8_); trivial.
% 49.57/49.68 apply (zenon_notand_s _ _ zenon_H545); [ zenon_intro zenon_H3bf | zenon_intro zenon_H54e ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H487); [ zenon_intro zenon_H194 | zenon_intro zenon_H52a ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H2e9 ].
% 49.57/49.68 apply (zenon_L165_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H2ea ].
% 49.57/49.68 apply (zenon_L475_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H260 ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H32c ].
% 49.57/49.68 apply (zenon_L165_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H32d ].
% 49.57/49.68 apply (zenon_L170_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H30d | zenon_intro zenon_H29b ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H19f | zenon_intro zenon_H28e ].
% 49.57/49.68 apply (zenon_L156_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28f ].
% 49.57/49.68 apply (zenon_L676_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H206 ].
% 49.57/49.68 apply (zenon_L169_); trivial.
% 49.57/49.68 apply (zenon_L655_); trivial.
% 49.57/49.68 apply (zenon_L222_); trivial.
% 49.57/49.68 apply (zenon_L380_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H52a); [ zenon_intro zenon_H193 | zenon_intro zenon_H535 ].
% 49.57/49.68 apply (zenon_L262_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H535); [ zenon_intro zenon_H2ee | zenon_intro zenon_H2f1 ].
% 49.57/49.68 apply (zenon_L263_); trivial.
% 49.57/49.68 apply (zenon_L306_); trivial.
% 49.57/49.68 apply (zenon_notand_s _ _ zenon_H54e); [ zenon_intro zenon_H3cc | zenon_intro zenon_H54f ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H487); [ zenon_intro zenon_H194 | zenon_intro zenon_H52a ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H2e9 ].
% 49.57/49.68 apply (zenon_L165_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H2ea ].
% 49.57/49.68 apply (zenon_L475_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H260 ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H32c ].
% 49.57/49.68 apply (zenon_L165_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H32d ].
% 49.57/49.68 apply (zenon_L170_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H30d | zenon_intro zenon_H29b ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H1ec | zenon_intro zenon_H2dc ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H19f | zenon_intro zenon_H28e ].
% 49.57/49.68 apply (zenon_L156_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28f ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ].
% 49.57/49.68 apply (zenon_L156_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2dd ].
% 49.57/49.68 apply (zenon_L158_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1da | zenon_intro zenon_H2de ].
% 49.57/49.68 apply (zenon_L681_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H25b | zenon_intro zenon_H261 ].
% 49.57/49.68 apply (zenon_L196_); trivial.
% 49.57/49.68 apply (zenon_L673_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ].
% 49.57/49.68 apply (zenon_L159_); trivial.
% 49.57/49.68 apply (zenon_L160_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H206 ].
% 49.57/49.68 apply (zenon_L169_); trivial.
% 49.57/49.68 apply (zenon_L655_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H288 | zenon_intro zenon_H2e3 ].
% 49.57/49.68 apply (zenon_L674_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H25e | zenon_intro zenon_H28a ].
% 49.57/49.68 apply (zenon_L197_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H350); [ zenon_intro zenon_H1ec | zenon_intro zenon_H351 ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H19f | zenon_intro zenon_H28e ].
% 49.57/49.68 apply (zenon_L156_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28f ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ].
% 49.57/49.68 apply (zenon_L156_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2dd ].
% 49.57/49.68 apply (zenon_L158_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1da | zenon_intro zenon_H2de ].
% 49.57/49.68 apply (zenon_L681_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H25b | zenon_intro zenon_H261 ].
% 49.57/49.68 apply (zenon_L196_); trivial.
% 49.57/49.68 apply (zenon_L682_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ].
% 49.57/49.68 apply (zenon_L159_); trivial.
% 49.57/49.68 apply (zenon_L160_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H206 ].
% 49.57/49.68 apply (zenon_L169_); trivial.
% 49.57/49.68 apply (zenon_L655_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H351); [ zenon_intro zenon_H1ed | zenon_intro zenon_H352 ].
% 49.57/49.68 apply (zenon_L445_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H352); [ zenon_intro zenon_H34e | zenon_intro zenon_H20c ].
% 49.57/49.68 apply (zenon_L468_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H19f | zenon_intro zenon_H28e ].
% 49.57/49.68 apply (zenon_L156_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28f ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ].
% 49.57/49.68 apply (zenon_L156_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2dd ].
% 49.57/49.68 apply (zenon_L158_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1da | zenon_intro zenon_H2de ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H2df ].
% 49.57/49.68 apply (zenon_L170_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H1db | zenon_intro zenon_H2e0 ].
% 49.57/49.68 apply (zenon_L171_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1de | zenon_intro zenon_H225 ].
% 49.57/49.68 apply (zenon_L172_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H1ed | zenon_intro zenon_H2e1 ].
% 49.57/49.68 apply (zenon_L383_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H1ef | zenon_intro zenon_H2e2 ].
% 49.57/49.68 apply (zenon_L176_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H214 | zenon_intro zenon_H258 ].
% 49.57/49.68 apply (zenon_L680_); trivial.
% 49.57/49.68 apply (zenon_L195_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H25b | zenon_intro zenon_H261 ].
% 49.57/49.68 apply (zenon_L196_); trivial.
% 49.57/49.68 apply (zenon_L673_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ].
% 49.57/49.68 apply (zenon_L159_); trivial.
% 49.57/49.68 apply (zenon_L160_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H206 ].
% 49.57/49.68 apply (zenon_L169_); trivial.
% 49.57/49.68 apply (zenon_L215_); trivial.
% 49.57/49.68 apply (zenon_L222_); trivial.
% 49.57/49.68 apply (zenon_L380_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H52a); [ zenon_intro zenon_H193 | zenon_intro zenon_H535 ].
% 49.57/49.68 apply (zenon_L262_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H535); [ zenon_intro zenon_H2ee | zenon_intro zenon_H2f1 ].
% 49.57/49.68 apply (zenon_L263_); trivial.
% 49.57/49.68 apply (zenon_L306_); trivial.
% 49.57/49.68 apply (zenon_notand_s _ _ zenon_H54f); [ zenon_intro zenon_H3d9 | zenon_intro zenon_H550 ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H487); [ zenon_intro zenon_H194 | zenon_intro zenon_H52a ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H2e9 ].
% 49.57/49.68 apply (zenon_L165_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H2ea ].
% 49.57/49.68 apply (zenon_L475_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H260 ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H32c ].
% 49.57/49.68 apply (zenon_L165_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H32d ].
% 49.57/49.68 apply (zenon_L170_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H30d | zenon_intro zenon_H29b ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H19f | zenon_intro zenon_H28e ].
% 49.57/49.68 apply (zenon_L156_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28f ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ].
% 49.57/49.68 apply (zenon_L156_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2dd ].
% 49.57/49.68 apply (zenon_L158_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1da | zenon_intro zenon_H2de ].
% 49.57/49.68 apply (zenon_L683_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H25b | zenon_intro zenon_H261 ].
% 49.57/49.68 apply (zenon_L196_); trivial.
% 49.57/49.68 apply (zenon_L673_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ].
% 49.57/49.68 apply (zenon_L159_); trivial.
% 49.57/49.68 apply (zenon_L160_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H206 ].
% 49.57/49.68 apply (zenon_L169_); trivial.
% 49.57/49.68 apply (zenon_L655_); trivial.
% 49.57/49.68 apply (zenon_L222_); trivial.
% 49.57/49.68 apply (zenon_L380_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H52a); [ zenon_intro zenon_H193 | zenon_intro zenon_H535 ].
% 49.57/49.68 apply (zenon_L262_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H535); [ zenon_intro zenon_H2ee | zenon_intro zenon_H2f1 ].
% 49.57/49.68 apply (zenon_L263_); trivial.
% 49.57/49.68 apply (zenon_L306_); trivial.
% 49.57/49.68 apply (zenon_notand_s _ _ zenon_H550); [ zenon_intro zenon_H552 | zenon_intro zenon_H551 ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H371); [ zenon_intro zenon_H4b | zenon_intro zenon_H372 ].
% 49.57/49.68 apply (zenon_L13_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H5b | zenon_intro zenon_H373 ].
% 49.57/49.68 apply (zenon_L18_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H373); [ zenon_intro zenon_H353 | zenon_intro zenon_H121 ].
% 49.57/49.68 cut (((h3 (e11)) = (op2 (e22) (op2 (e22) (e22)))) = ((h3 (op1 (e12) (e10))) = (op2 (h3 (e12)) (h3 (e10))))).
% 49.57/49.68 intro zenon_D_pnotp.
% 49.57/49.68 apply zenon_H552.
% 49.57/49.68 rewrite <- zenon_D_pnotp.
% 49.57/49.68 exact zenon_H39a.
% 49.57/49.68 cut (((op2 (e22) (op2 (e22) (e22))) = (op2 (h3 (e12)) (h3 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H553].
% 49.57/49.68 cut (((h3 (e11)) = (h3 (op1 (e12) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H554].
% 49.57/49.68 congruence.
% 49.57/49.68 elim (classic ((h3 (op1 (e12) (e10))) = (h3 (op1 (e12) (e10))))); [ zenon_intro zenon_H555 | zenon_intro zenon_H556 ].
% 49.57/49.68 cut (((h3 (op1 (e12) (e10))) = (h3 (op1 (e12) (e10)))) = ((h3 (e11)) = (h3 (op1 (e12) (e10))))).
% 49.57/49.68 intro zenon_D_pnotp.
% 49.57/49.68 apply zenon_H554.
% 49.57/49.68 rewrite <- zenon_D_pnotp.
% 49.57/49.68 exact zenon_H555.
% 49.57/49.68 cut (((h3 (op1 (e12) (e10))) = (h3 (op1 (e12) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H556].
% 49.57/49.68 cut (((h3 (op1 (e12) (e10))) = (h3 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H557].
% 49.57/49.68 congruence.
% 49.57/49.68 cut (((op1 (e12) (e10)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H558].
% 49.57/49.68 congruence.
% 49.57/49.68 exact (zenon_H558 zenon_H353).
% 49.57/49.68 apply zenon_H556. apply refl_equal.
% 49.57/49.68 apply zenon_H556. apply refl_equal.
% 49.57/49.68 cut (((op2 (e22) (e22)) = (h3 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H54c].
% 49.57/49.68 cut (((e22) = (h3 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H559].
% 49.57/49.68 congruence.
% 49.57/49.68 apply zenon_H559. apply sym_equal. exact zenon_H3b0.
% 49.57/49.68 apply zenon_H54c. apply sym_equal. exact zenon_H13.
% 49.57/49.68 apply (zenon_L70_); trivial.
% 49.57/49.68 apply (zenon_notand_s _ _ zenon_H551); [ zenon_intro zenon_H3e5 | zenon_intro zenon_H55a ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H487); [ zenon_intro zenon_H194 | zenon_intro zenon_H52a ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H2e9 ].
% 49.57/49.68 apply (zenon_L165_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H2ea ].
% 49.57/49.68 apply (zenon_L475_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H260 ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H32c ].
% 49.57/49.68 apply (zenon_L165_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H32d ].
% 49.57/49.68 apply (zenon_L170_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H30d | zenon_intro zenon_H29b ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H1ec | zenon_intro zenon_H2dc ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H19f | zenon_intro zenon_H28e ].
% 49.57/49.68 apply (zenon_L156_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28f ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ].
% 49.57/49.68 apply (zenon_L156_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2dd ].
% 49.57/49.68 apply (zenon_L158_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1da | zenon_intro zenon_H2de ].
% 49.57/49.68 apply (zenon_L687_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H25b | zenon_intro zenon_H261 ].
% 49.57/49.68 apply (zenon_L196_); trivial.
% 49.57/49.68 apply (zenon_L673_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ].
% 49.57/49.68 apply (zenon_L159_); trivial.
% 49.57/49.68 apply (zenon_L160_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H206 ].
% 49.57/49.68 apply (zenon_L169_); trivial.
% 49.57/49.68 apply (zenon_L655_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H288 | zenon_intro zenon_H2e3 ].
% 49.57/49.68 apply (zenon_L674_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H25e | zenon_intro zenon_H28a ].
% 49.57/49.68 apply (zenon_L197_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H350); [ zenon_intro zenon_H1ec | zenon_intro zenon_H351 ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H19f | zenon_intro zenon_H28e ].
% 49.57/49.68 apply (zenon_L156_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28f ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ].
% 49.57/49.68 apply (zenon_L156_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2dd ].
% 49.57/49.68 apply (zenon_L158_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1da | zenon_intro zenon_H2de ].
% 49.57/49.68 apply (zenon_L687_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H25b | zenon_intro zenon_H261 ].
% 49.57/49.68 apply (zenon_L196_); trivial.
% 49.57/49.68 apply (zenon_L682_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ].
% 49.57/49.68 apply (zenon_L159_); trivial.
% 49.57/49.68 apply (zenon_L160_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H206 ].
% 49.57/49.68 apply (zenon_L169_); trivial.
% 49.57/49.68 apply (zenon_L215_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H351); [ zenon_intro zenon_H1ed | zenon_intro zenon_H352 ].
% 49.57/49.68 apply (zenon_L445_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H352); [ zenon_intro zenon_H34e | zenon_intro zenon_H20c ].
% 49.57/49.68 apply (zenon_L468_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H19f | zenon_intro zenon_H28e ].
% 49.57/49.68 apply (zenon_L156_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28f ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ].
% 49.57/49.68 apply (zenon_L156_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2dd ].
% 49.57/49.68 apply (zenon_L158_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1da | zenon_intro zenon_H2de ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H3f6); [ zenon_intro zenon_H288 | zenon_intro zenon_H3f7 ].
% 49.57/49.68 apply (zenon_L688_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H3f7); [ zenon_intro zenon_H1ef | zenon_intro zenon_H3f8 ].
% 49.57/49.68 apply (zenon_L176_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H3f8); [ zenon_intro zenon_H3e7 | zenon_intro zenon_H20f ].
% 49.57/49.68 apply (zenon_L686_); trivial.
% 49.57/49.68 apply (zenon_L435_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H25b | zenon_intro zenon_H261 ].
% 49.57/49.68 apply (zenon_L196_); trivial.
% 49.57/49.68 apply (zenon_L673_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ].
% 49.57/49.68 apply (zenon_L159_); trivial.
% 49.57/49.68 apply (zenon_L160_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H206 ].
% 49.57/49.68 apply (zenon_L169_); trivial.
% 49.57/49.68 apply (zenon_L655_); trivial.
% 49.57/49.68 apply (zenon_L222_); trivial.
% 49.57/49.68 apply (zenon_L380_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H52a); [ zenon_intro zenon_H193 | zenon_intro zenon_H535 ].
% 49.57/49.68 apply (zenon_L262_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H535); [ zenon_intro zenon_H2ee | zenon_intro zenon_H2f1 ].
% 49.57/49.68 apply (zenon_L263_); trivial.
% 49.57/49.68 apply (zenon_L306_); trivial.
% 49.57/49.68 apply (zenon_notand_s _ _ zenon_H55a); [ zenon_intro zenon_H55c | zenon_intro zenon_H55b ].
% 49.57/49.68 cut (((h3 (e10)) = (op2 (e22) (e22))) = ((h3 (op1 (e12) (e12))) = (op2 (h3 (e12)) (h3 (e12))))).
% 49.57/49.68 intro zenon_D_pnotp.
% 49.57/49.68 apply zenon_H55c.
% 49.57/49.68 rewrite <- zenon_D_pnotp.
% 49.57/49.68 exact zenon_H13.
% 49.57/49.68 cut (((op2 (e22) (e22)) = (op2 (h3 (e12)) (h3 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H55d].
% 49.57/49.68 cut (((h3 (e10)) = (h3 (op1 (e12) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H55e].
% 49.57/49.68 congruence.
% 49.57/49.68 elim (classic ((h3 (op1 (e12) (e12))) = (h3 (op1 (e12) (e12))))); [ zenon_intro zenon_H55f | zenon_intro zenon_H560 ].
% 49.57/49.68 cut (((h3 (op1 (e12) (e12))) = (h3 (op1 (e12) (e12)))) = ((h3 (e10)) = (h3 (op1 (e12) (e12))))).
% 49.57/49.68 intro zenon_D_pnotp.
% 49.57/49.68 apply zenon_H55e.
% 49.57/49.68 rewrite <- zenon_D_pnotp.
% 49.57/49.68 exact zenon_H55f.
% 49.57/49.68 cut (((h3 (op1 (e12) (e12))) = (h3 (op1 (e12) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H560].
% 49.57/49.68 cut (((h3 (op1 (e12) (e12))) = (h3 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H561].
% 49.57/49.68 congruence.
% 49.57/49.68 cut (((op1 (e12) (e12)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H21].
% 49.57/49.68 congruence.
% 49.57/49.68 apply zenon_H21. apply sym_equal. exact zenon_H1f.
% 49.57/49.68 apply zenon_H560. apply refl_equal.
% 49.57/49.68 apply zenon_H560. apply refl_equal.
% 49.57/49.68 cut (((e22) = (h3 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H559].
% 49.57/49.68 cut (((e22) = (h3 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H559].
% 49.57/49.68 congruence.
% 49.57/49.68 apply zenon_H559. apply sym_equal. exact zenon_H3b0.
% 49.57/49.68 apply zenon_H559. apply sym_equal. exact zenon_H3b0.
% 49.57/49.68 apply (zenon_notand_s _ _ zenon_H55b); [ zenon_intro zenon_H3f9 | zenon_intro zenon_H562 ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H487); [ zenon_intro zenon_H194 | zenon_intro zenon_H52a ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H2e9 ].
% 49.57/49.68 apply (zenon_L165_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H2ea ].
% 49.57/49.68 apply (zenon_L475_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H260 ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H32c ].
% 49.57/49.68 apply (zenon_L165_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H32d ].
% 49.57/49.68 apply (zenon_L170_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H30d | zenon_intro zenon_H29b ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H19f | zenon_intro zenon_H28e ].
% 49.57/49.68 apply (zenon_L156_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28f ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ].
% 49.57/49.68 apply (zenon_L156_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2dd ].
% 49.57/49.68 apply (zenon_L158_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1da | zenon_intro zenon_H2de ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H2df ].
% 49.57/49.68 apply (zenon_L170_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H1db | zenon_intro zenon_H2e0 ].
% 49.57/49.68 apply (zenon_L171_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1de | zenon_intro zenon_H225 ].
% 49.57/49.68 apply (zenon_L172_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H2eb ].
% 49.57/49.68 apply (zenon_L265_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H1db | zenon_intro zenon_H2ec ].
% 49.57/49.68 apply (zenon_L171_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H20e ].
% 49.57/49.68 apply (zenon_L174_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H1ac | zenon_intro zenon_H278 ].
% 49.57/49.68 apply (zenon_L159_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H238 | zenon_intro zenon_H279 ].
% 49.57/49.68 apply (zenon_L296_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H203 | zenon_intro zenon_H275 ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H20c | zenon_intro zenon_H251 ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H206 | zenon_intro zenon_H2cc ].
% 49.57/49.68 apply (zenon_L667_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H2bf | zenon_intro zenon_H2cd ].
% 49.57/49.68 apply (zenon_L245_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H275 | zenon_intro zenon_H2a6 ].
% 49.57/49.68 apply (zenon_L690_); trivial.
% 49.57/49.68 apply (zenon_L256_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H20f | zenon_intro zenon_H252 ].
% 49.57/49.68 apply (zenon_L182_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H215 | zenon_intro zenon_H242 ].
% 49.57/49.68 apply (zenon_L212_); trivial.
% 49.57/49.68 apply (zenon_L391_); trivial.
% 49.57/49.68 apply (zenon_L690_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H25b | zenon_intro zenon_H261 ].
% 49.57/49.68 apply (zenon_L196_); trivial.
% 49.57/49.68 apply (zenon_L673_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ].
% 49.57/49.68 apply (zenon_L159_); trivial.
% 49.57/49.68 apply (zenon_L160_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H206 ].
% 49.57/49.68 apply (zenon_L169_); trivial.
% 49.57/49.68 apply (zenon_L655_); trivial.
% 49.57/49.68 apply (zenon_L222_); trivial.
% 49.57/49.68 apply (zenon_L380_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H52a); [ zenon_intro zenon_H193 | zenon_intro zenon_H535 ].
% 49.57/49.68 apply (zenon_L262_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H535); [ zenon_intro zenon_H2ee | zenon_intro zenon_H2f1 ].
% 49.57/49.68 apply (zenon_L263_); trivial.
% 49.57/49.68 apply (zenon_L306_); trivial.
% 49.57/49.68 apply (zenon_notand_s _ _ zenon_H562); [ zenon_intro zenon_H40a | zenon_intro zenon_H563 ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H487); [ zenon_intro zenon_H194 | zenon_intro zenon_H52a ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H2e9 ].
% 49.57/49.68 apply (zenon_L165_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H2ea ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H32c ].
% 49.57/49.68 apply (zenon_L165_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H32d ].
% 49.57/49.68 apply (zenon_L170_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H30d | zenon_intro zenon_H29b ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H1ec | zenon_intro zenon_H2dc ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H19f | zenon_intro zenon_H28e ].
% 49.57/49.68 apply (zenon_L156_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28f ].
% 49.57/49.68 apply (zenon_L265_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H206 ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ].
% 49.57/49.68 apply (zenon_L156_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2dd ].
% 49.57/49.68 apply (zenon_L158_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1da | zenon_intro zenon_H2de ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H2df ].
% 49.57/49.68 apply (zenon_L170_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H1db | zenon_intro zenon_H2e0 ].
% 49.57/49.68 apply (zenon_L171_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1de | zenon_intro zenon_H225 ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H1ed | zenon_intro zenon_H2e1 ].
% 49.57/49.68 apply (zenon_L175_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H1ef | zenon_intro zenon_H2e2 ].
% 49.57/49.68 apply (zenon_L176_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H214 | zenon_intro zenon_H258 ].
% 49.57/49.68 apply (zenon_L220_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d0 ].
% 49.57/49.68 apply (zenon_L265_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H2d1 ].
% 49.57/49.68 apply (zenon_L177_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H238 | zenon_intro zenon_H256 ].
% 49.57/49.68 apply (zenon_L413_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H25e | zenon_intro zenon_H286 ].
% 49.57/49.68 apply (zenon_L221_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H214 | zenon_intro zenon_H287 ].
% 49.57/49.68 apply (zenon_L699_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H27b | zenon_intro zenon_H215 ].
% 49.57/49.68 apply (zenon_L209_); trivial.
% 49.57/49.68 apply (zenon_L417_); trivial.
% 49.57/49.68 apply (zenon_L700_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H25b | zenon_intro zenon_H261 ].
% 49.57/49.68 apply (zenon_L196_); trivial.
% 49.57/49.68 apply (zenon_L443_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ].
% 49.57/49.68 apply (zenon_L159_); trivial.
% 49.57/49.68 apply (zenon_L160_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ].
% 49.57/49.68 apply (zenon_L156_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2dd ].
% 49.57/49.68 apply (zenon_L158_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1da | zenon_intro zenon_H2de ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H1ed | zenon_intro zenon_H2e1 ].
% 49.57/49.68 apply (zenon_L175_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H1ef | zenon_intro zenon_H2e2 ].
% 49.57/49.68 apply (zenon_L176_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H214 | zenon_intro zenon_H258 ].
% 49.57/49.68 apply (zenon_L699_); trivial.
% 49.57/49.68 apply (zenon_L388_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H25b | zenon_intro zenon_H261 ].
% 49.57/49.68 apply (zenon_L196_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H193 | zenon_intro zenon_H30b ].
% 49.57/49.68 apply (zenon_L262_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H30b); [ zenon_intro zenon_H1da | zenon_intro zenon_H30c ].
% 49.57/49.68 apply (zenon_L395_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H30c); [ zenon_intro zenon_H302 | zenon_intro zenon_H305 ].
% 49.57/49.68 apply (zenon_L292_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d0 ].
% 49.57/49.68 apply (zenon_L444_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H2d1 ].
% 49.57/49.68 apply (zenon_L177_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H238 | zenon_intro zenon_H256 ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H2d2 ].
% 49.57/49.68 apply (zenon_L702_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H1de | zenon_intro zenon_H2d3 ].
% 49.57/49.68 apply (zenon_L450_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H295 ].
% 49.57/49.68 apply (zenon_L460_); trivial.
% 49.57/49.68 apply (zenon_L454_); trivial.
% 49.57/49.68 apply (zenon_L335_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ].
% 49.57/49.68 apply (zenon_L159_); trivial.
% 49.57/49.68 apply (zenon_L160_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H288 | zenon_intro zenon_H2e3 ].
% 49.57/49.68 apply (zenon_L294_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H25e | zenon_intro zenon_H28a ].
% 49.57/49.68 apply (zenon_L472_); trivial.
% 49.57/49.68 apply (zenon_L474_); trivial.
% 49.57/49.68 apply (zenon_L222_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H260 ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H32c ].
% 49.57/49.68 apply (zenon_L165_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H32d ].
% 49.57/49.68 apply (zenon_L170_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H30d | zenon_intro zenon_H29b ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H1ec | zenon_intro zenon_H2dc ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H19f | zenon_intro zenon_H28e ].
% 49.57/49.68 apply (zenon_L156_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28f ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ].
% 49.57/49.68 apply (zenon_L156_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2dd ].
% 49.57/49.68 apply (zenon_L158_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1da | zenon_intro zenon_H2de ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H2df ].
% 49.57/49.68 apply (zenon_L170_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H1db | zenon_intro zenon_H2e0 ].
% 49.57/49.68 apply (zenon_L171_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1de | zenon_intro zenon_H225 ].
% 49.57/49.68 apply (zenon_L172_); trivial.
% 49.57/49.68 apply (zenon_L700_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H25b | zenon_intro zenon_H261 ].
% 49.57/49.68 apply (zenon_L196_); trivial.
% 49.57/49.68 apply (zenon_L673_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ].
% 49.57/49.68 apply (zenon_L159_); trivial.
% 49.57/49.68 apply (zenon_L160_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H206 ].
% 49.57/49.68 apply (zenon_L169_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ].
% 49.57/49.68 apply (zenon_L156_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ].
% 49.57/49.68 apply (zenon_L702_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ].
% 49.57/49.68 apply (zenon_L159_); trivial.
% 49.57/49.68 apply (zenon_L160_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H288 | zenon_intro zenon_H2e3 ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H19f | zenon_intro zenon_H28e ].
% 49.57/49.68 apply (zenon_L156_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28f ].
% 49.57/49.68 apply (zenon_L373_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H206 ].
% 49.57/49.68 apply (zenon_L169_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ].
% 49.57/49.68 apply (zenon_L156_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2dd ].
% 49.57/49.68 apply (zenon_L158_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1da | zenon_intro zenon_H2de ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H2df ].
% 49.57/49.68 apply (zenon_L170_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H1db | zenon_intro zenon_H2e0 ].
% 49.57/49.68 apply (zenon_L171_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1de | zenon_intro zenon_H225 ].
% 49.57/49.68 apply (zenon_L172_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H2eb ].
% 49.57/49.68 apply (zenon_L294_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H1db | zenon_intro zenon_H2ec ].
% 49.57/49.68 apply (zenon_L171_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H20e ].
% 49.57/49.68 apply (zenon_L174_); trivial.
% 49.57/49.68 apply (zenon_L701_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H25b | zenon_intro zenon_H261 ].
% 49.57/49.68 apply (zenon_L196_); trivial.
% 49.57/49.68 apply (zenon_L213_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ].
% 49.57/49.68 apply (zenon_L159_); trivial.
% 49.57/49.68 apply (zenon_L160_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H25e | zenon_intro zenon_H28a ].
% 49.57/49.68 apply (zenon_L197_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H19f | zenon_intro zenon_H28e ].
% 49.57/49.68 apply (zenon_L156_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28f ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ].
% 49.57/49.68 apply (zenon_L156_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2dd ].
% 49.57/49.68 apply (zenon_L158_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1da | zenon_intro zenon_H2de ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H2df ].
% 49.57/49.68 apply (zenon_L170_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H1db | zenon_intro zenon_H2e0 ].
% 49.57/49.68 apply (zenon_L171_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1de | zenon_intro zenon_H225 ].
% 49.57/49.68 apply (zenon_L172_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H1ed | zenon_intro zenon_H2e1 ].
% 49.57/49.68 apply (zenon_L445_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H1ef | zenon_intro zenon_H2e2 ].
% 49.57/49.68 apply (zenon_L176_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H214 | zenon_intro zenon_H258 ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H20c | zenon_intro zenon_H251 ].
% 49.57/49.68 apply (zenon_L698_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H20f | zenon_intro zenon_H252 ].
% 49.57/49.68 apply (zenon_L435_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H215 | zenon_intro zenon_H242 ].
% 49.57/49.68 apply (zenon_L183_); trivial.
% 49.57/49.68 apply (zenon_L703_); trivial.
% 49.57/49.68 apply (zenon_L195_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H25b | zenon_intro zenon_H261 ].
% 49.57/49.68 apply (zenon_L196_); trivial.
% 49.57/49.68 apply (zenon_L682_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ].
% 49.57/49.68 apply (zenon_L159_); trivial.
% 49.57/49.68 apply (zenon_L160_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H206 ].
% 49.57/49.68 apply (zenon_L169_); trivial.
% 49.57/49.68 apply (zenon_L215_); trivial.
% 49.57/49.68 apply (zenon_L222_); trivial.
% 49.57/49.68 apply (zenon_L380_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H52a); [ zenon_intro zenon_H193 | zenon_intro zenon_H535 ].
% 49.57/49.68 apply (zenon_L262_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H535); [ zenon_intro zenon_H2ee | zenon_intro zenon_H2f1 ].
% 49.57/49.68 apply (zenon_L263_); trivial.
% 49.57/49.68 apply (zenon_L306_); trivial.
% 49.57/49.68 apply (zenon_notand_s _ _ zenon_H563); [ zenon_intro zenon_H416 | zenon_intro zenon_H564 ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H487); [ zenon_intro zenon_H194 | zenon_intro zenon_H52a ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H2e9 ].
% 49.57/49.68 apply (zenon_L165_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H2ea ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H32c ].
% 49.57/49.68 apply (zenon_L165_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H32d ].
% 49.57/49.68 apply (zenon_L170_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H30d | zenon_intro zenon_H29b ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H1ec | zenon_intro zenon_H2dc ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H19f | zenon_intro zenon_H28e ].
% 49.57/49.68 apply (zenon_L156_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28f ].
% 49.57/49.68 apply (zenon_L265_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H206 ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ].
% 49.57/49.68 apply (zenon_L156_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2dd ].
% 49.57/49.68 apply (zenon_L158_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1da | zenon_intro zenon_H2de ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H2df ].
% 49.57/49.68 apply (zenon_L170_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H1db | zenon_intro zenon_H2e0 ].
% 49.57/49.68 apply (zenon_L171_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1de | zenon_intro zenon_H225 ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H1ed | zenon_intro zenon_H2e1 ].
% 49.57/49.68 apply (zenon_L175_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H1ef | zenon_intro zenon_H2e2 ].
% 49.57/49.68 apply (zenon_L176_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H214 | zenon_intro zenon_H258 ].
% 49.57/49.68 apply (zenon_L220_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d0 ].
% 49.57/49.68 apply (zenon_L724_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H2d1 ].
% 49.57/49.68 apply (zenon_L177_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H238 | zenon_intro zenon_H256 ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H25e | zenon_intro zenon_H286 ].
% 49.57/49.68 apply (zenon_L731_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H214 | zenon_intro zenon_H287 ].
% 49.57/49.68 apply (zenon_L220_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H27b | zenon_intro zenon_H215 ].
% 49.57/49.68 apply (zenon_L209_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H317); [ zenon_intro zenon_H20b | zenon_intro zenon_H318 ].
% 49.57/49.68 apply (zenon_L382_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H305 | zenon_intro zenon_H319 ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H348); [ zenon_intro zenon_H2f1 | zenon_intro zenon_H349 ].
% 49.57/49.68 apply (zenon_L264_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H349); [ zenon_intro zenon_H261 | zenon_intro zenon_H34a ].
% 49.57/49.68 apply (zenon_L405_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H335 | zenon_intro zenon_H314 ].
% 49.57/49.68 apply (zenon_L386_); trivial.
% 49.57/49.68 apply (zenon_L735_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H290 | zenon_intro zenon_H314 ].
% 49.57/49.68 apply (zenon_L217_); trivial.
% 49.57/49.68 apply (zenon_L735_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H25e | zenon_intro zenon_H286 ].
% 49.57/49.68 apply (zenon_L221_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H214 | zenon_intro zenon_H287 ].
% 49.57/49.68 apply (zenon_L220_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H27b | zenon_intro zenon_H215 ].
% 49.57/49.68 apply (zenon_L209_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H1ac | zenon_intro zenon_H278 ].
% 49.57/49.68 apply (zenon_L159_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H238 | zenon_intro zenon_H279 ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H317); [ zenon_intro zenon_H20b | zenon_intro zenon_H318 ].
% 49.57/49.68 apply (zenon_L382_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H305 | zenon_intro zenon_H319 ].
% 49.57/49.68 apply (zenon_L335_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H290 | zenon_intro zenon_H314 ].
% 49.57/49.68 apply (zenon_L217_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H29b | zenon_intro zenon_H2a1 ].
% 49.57/49.68 apply (zenon_L222_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H20e | zenon_intro zenon_H2a2 ].
% 49.57/49.68 apply (zenon_L194_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H295 | zenon_intro zenon_H26d ].
% 49.57/49.68 apply (zenon_L218_); trivial.
% 49.57/49.68 apply (zenon_L734_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H203 | zenon_intro zenon_H275 ].
% 49.57/49.68 apply (zenon_L415_); trivial.
% 49.57/49.68 apply (zenon_L416_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H1ed | zenon_intro zenon_H2e1 ].
% 49.57/49.68 apply (zenon_L175_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H1ef | zenon_intro zenon_H2e2 ].
% 49.57/49.68 apply (zenon_L176_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H214 | zenon_intro zenon_H258 ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d0 ].
% 49.57/49.68 apply (zenon_L265_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H2d1 ].
% 49.57/49.68 apply (zenon_L177_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H238 | zenon_intro zenon_H256 ].
% 49.57/49.68 apply (zenon_L438_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H2d2 ].
% 49.57/49.68 apply (zenon_L738_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H1de | zenon_intro zenon_H2d3 ].
% 49.57/49.68 apply (zenon_L220_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H295 ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H1ac | zenon_intro zenon_H278 ].
% 49.57/49.68 apply (zenon_L159_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H238 | zenon_intro zenon_H279 ].
% 49.57/49.68 apply (zenon_L240_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H203 | zenon_intro zenon_H275 ].
% 49.57/49.68 apply (zenon_L743_); trivial.
% 49.57/49.68 apply (zenon_L440_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H1ac | zenon_intro zenon_H278 ].
% 49.57/49.68 apply (zenon_L159_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H238 | zenon_intro zenon_H279 ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H317); [ zenon_intro zenon_H20b | zenon_intro zenon_H318 ].
% 49.57/49.68 apply (zenon_L382_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H305 | zenon_intro zenon_H319 ].
% 49.57/49.68 apply (zenon_L335_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H290 | zenon_intro zenon_H314 ].
% 49.57/49.68 apply (zenon_L217_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H20c | zenon_intro zenon_H251 ].
% 49.57/49.68 apply (zenon_L433_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H20f | zenon_intro zenon_H252 ].
% 49.57/49.68 apply (zenon_L241_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H215 | zenon_intro zenon_H242 ].
% 49.57/49.68 apply (zenon_L183_); trivial.
% 49.57/49.68 apply (zenon_L391_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H203 | zenon_intro zenon_H275 ].
% 49.57/49.68 apply (zenon_L743_); trivial.
% 49.57/49.68 apply (zenon_L440_); trivial.
% 49.57/49.68 apply (zenon_L195_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H25b | zenon_intro zenon_H261 ].
% 49.57/49.68 apply (zenon_L196_); trivial.
% 49.57/49.68 apply (zenon_L443_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ].
% 49.57/49.68 apply (zenon_L159_); trivial.
% 49.57/49.68 apply (zenon_L160_); trivial.
% 49.57/49.68 apply (zenon_L742_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H288 | zenon_intro zenon_H2e3 ].
% 49.57/49.68 apply (zenon_L294_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H25e | zenon_intro zenon_H28a ].
% 49.57/49.68 apply (zenon_L731_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H19f | zenon_intro zenon_H28e ].
% 49.57/49.68 apply (zenon_L156_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28f ].
% 49.57/49.68 apply (zenon_L265_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H206 ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ].
% 49.57/49.68 apply (zenon_L156_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2dd ].
% 49.57/49.68 apply (zenon_L158_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1da | zenon_intro zenon_H2de ].
% 49.57/49.68 apply (zenon_L473_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H25b | zenon_intro zenon_H261 ].
% 49.57/49.68 apply (zenon_L196_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H193 | zenon_intro zenon_H30b ].
% 49.57/49.68 apply (zenon_L154_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H30b); [ zenon_intro zenon_H1da | zenon_intro zenon_H30c ].
% 49.57/49.68 apply (zenon_L726_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H30c); [ zenon_intro zenon_H302 | zenon_intro zenon_H305 ].
% 49.57/49.68 apply (zenon_L292_); trivial.
% 49.57/49.68 apply (zenon_L418_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ].
% 49.57/49.68 apply (zenon_L159_); trivial.
% 49.57/49.68 apply (zenon_L160_); trivial.
% 49.57/49.68 apply (zenon_L215_); trivial.
% 49.57/49.68 apply (zenon_L222_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H260 ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H32c ].
% 49.57/49.68 apply (zenon_L165_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H32d ].
% 49.57/49.68 apply (zenon_L170_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H30d | zenon_intro zenon_H29b ].
% 49.57/49.68 apply (zenon_L738_); trivial.
% 49.57/49.68 apply (zenon_L222_); trivial.
% 49.57/49.68 apply (zenon_L380_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H52a); [ zenon_intro zenon_H193 | zenon_intro zenon_H535 ].
% 49.57/49.68 apply (zenon_L262_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H535); [ zenon_intro zenon_H2ee | zenon_intro zenon_H2f1 ].
% 49.57/49.68 apply (zenon_L263_); trivial.
% 49.57/49.68 apply (zenon_L306_); trivial.
% 49.57/49.68 apply (zenon_notand_s _ _ zenon_H564); [ zenon_intro zenon_H422 | zenon_intro zenon_H565 ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H487); [ zenon_intro zenon_H194 | zenon_intro zenon_H52a ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H2e9 ].
% 49.57/49.68 apply (zenon_L165_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H2ea ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H32c ].
% 49.57/49.68 apply (zenon_L165_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H32d ].
% 49.57/49.68 apply (zenon_L170_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H30d | zenon_intro zenon_H29b ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H1ec | zenon_intro zenon_H2dc ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H19f | zenon_intro zenon_H28e ].
% 49.57/49.68 apply (zenon_L156_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28f ].
% 49.57/49.68 apply (zenon_L265_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H206 ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ].
% 49.57/49.68 apply (zenon_L156_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2dd ].
% 49.57/49.68 apply (zenon_L158_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1da | zenon_intro zenon_H2de ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H2df ].
% 49.57/49.68 apply (zenon_L170_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H1db | zenon_intro zenon_H2e0 ].
% 49.57/49.68 apply (zenon_L171_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1de | zenon_intro zenon_H225 ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H1ed | zenon_intro zenon_H2e1 ].
% 49.57/49.68 apply (zenon_L175_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H1ef | zenon_intro zenon_H2e2 ].
% 49.57/49.68 apply (zenon_L176_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H214 | zenon_intro zenon_H258 ].
% 49.57/49.68 apply (zenon_L220_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d0 ].
% 49.57/49.68 apply (zenon_L265_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H2d1 ].
% 49.57/49.68 apply (zenon_L177_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H238 | zenon_intro zenon_H256 ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H25e | zenon_intro zenon_H286 ].
% 49.57/49.68 apply (zenon_L221_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H214 | zenon_intro zenon_H287 ].
% 49.57/49.68 apply (zenon_L220_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H27b | zenon_intro zenon_H215 ].
% 49.57/49.68 apply (zenon_L209_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H317); [ zenon_intro zenon_H20b | zenon_intro zenon_H318 ].
% 49.57/49.68 apply (zenon_L382_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H305 | zenon_intro zenon_H319 ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H348); [ zenon_intro zenon_H2f1 | zenon_intro zenon_H349 ].
% 49.57/49.68 apply (zenon_L264_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H349); [ zenon_intro zenon_H261 | zenon_intro zenon_H34a ].
% 49.57/49.68 apply (zenon_L404_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H335 | zenon_intro zenon_H314 ].
% 49.57/49.68 apply (zenon_L386_); trivial.
% 49.57/49.68 apply (zenon_L771_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H290 | zenon_intro zenon_H314 ].
% 49.57/49.68 apply (zenon_L217_); trivial.
% 49.57/49.68 apply (zenon_L771_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H25e | zenon_intro zenon_H286 ].
% 49.57/49.68 apply (zenon_L772_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H214 | zenon_intro zenon_H287 ].
% 49.57/49.68 apply (zenon_L220_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H27b | zenon_intro zenon_H215 ].
% 49.57/49.68 apply (zenon_L209_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H1ac | zenon_intro zenon_H278 ].
% 49.57/49.68 apply (zenon_L159_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H238 | zenon_intro zenon_H279 ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H317); [ zenon_intro zenon_H20b | zenon_intro zenon_H318 ].
% 49.57/49.68 apply (zenon_L382_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H305 | zenon_intro zenon_H319 ].
% 49.57/49.68 apply (zenon_L335_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H290 | zenon_intro zenon_H314 ].
% 49.57/49.68 apply (zenon_L217_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H29b | zenon_intro zenon_H2a1 ].
% 49.57/49.68 apply (zenon_L222_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H20e | zenon_intro zenon_H2a2 ].
% 49.57/49.68 apply (zenon_L194_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H295 | zenon_intro zenon_H26d ].
% 49.57/49.68 apply (zenon_L218_); trivial.
% 49.57/49.68 apply (zenon_L769_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H203 | zenon_intro zenon_H275 ].
% 49.57/49.68 apply (zenon_L415_); trivial.
% 49.57/49.68 apply (zenon_L416_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H1ed | zenon_intro zenon_H2e1 ].
% 49.57/49.68 apply (zenon_L175_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H1ef | zenon_intro zenon_H2e2 ].
% 49.57/49.68 apply (zenon_L176_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H214 | zenon_intro zenon_H258 ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d0 ].
% 49.57/49.68 apply (zenon_L265_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H2d1 ].
% 49.57/49.68 apply (zenon_L177_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H238 | zenon_intro zenon_H256 ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H2d2 ].
% 49.57/49.68 apply (zenon_L173_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H1de | zenon_intro zenon_H2d3 ].
% 49.57/49.68 apply (zenon_L220_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H295 ].
% 49.57/49.68 apply (zenon_L240_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H317); [ zenon_intro zenon_H20b | zenon_intro zenon_H318 ].
% 49.57/49.68 apply (zenon_L382_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H305 | zenon_intro zenon_H319 ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H348); [ zenon_intro zenon_H2f1 | zenon_intro zenon_H349 ].
% 49.57/49.68 apply (zenon_L306_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H349); [ zenon_intro zenon_H261 | zenon_intro zenon_H34a ].
% 49.57/49.68 apply (zenon_L775_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H335 | zenon_intro zenon_H314 ].
% 49.57/49.68 apply (zenon_L386_); trivial.
% 49.57/49.68 apply (zenon_L781_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H290 | zenon_intro zenon_H314 ].
% 49.57/49.68 apply (zenon_L217_); trivial.
% 49.57/49.68 apply (zenon_L781_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H317); [ zenon_intro zenon_H20b | zenon_intro zenon_H318 ].
% 49.57/49.68 apply (zenon_L382_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H305 | zenon_intro zenon_H319 ].
% 49.57/49.68 apply (zenon_L335_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H290 | zenon_intro zenon_H314 ].
% 49.57/49.68 apply (zenon_L217_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H20c | zenon_intro zenon_H251 ].
% 49.57/49.68 apply (zenon_L782_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H20f | zenon_intro zenon_H252 ].
% 49.57/49.68 apply (zenon_L241_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H215 | zenon_intro zenon_H242 ].
% 49.57/49.68 apply (zenon_L183_); trivial.
% 49.57/49.68 apply (zenon_L391_); trivial.
% 49.57/49.68 apply (zenon_L195_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H25b | zenon_intro zenon_H261 ].
% 49.57/49.68 apply (zenon_L196_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H193 | zenon_intro zenon_H30b ].
% 49.57/49.68 apply (zenon_L262_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H30b); [ zenon_intro zenon_H1da | zenon_intro zenon_H30c ].
% 49.57/49.68 apply (zenon_L441_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H30c); [ zenon_intro zenon_H302 | zenon_intro zenon_H305 ].
% 49.57/49.68 apply (zenon_L292_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d0 ].
% 49.57/49.68 apply (zenon_L265_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H2d1 ].
% 49.57/49.68 apply (zenon_L177_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H238 | zenon_intro zenon_H256 ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H2d2 ].
% 49.57/49.68 apply (zenon_L169_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H1de | zenon_intro zenon_H2d3 ].
% 49.57/49.68 apply (zenon_L405_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H295 ].
% 49.57/49.68 apply (zenon_L240_); trivial.
% 49.57/49.68 apply (zenon_L775_); trivial.
% 49.57/49.68 apply (zenon_L335_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ].
% 49.57/49.68 apply (zenon_L159_); trivial.
% 49.57/49.68 apply (zenon_L160_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ].
% 49.57/49.68 apply (zenon_L156_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2dd ].
% 49.57/49.68 apply (zenon_L158_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1da | zenon_intro zenon_H2de ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H2df ].
% 49.57/49.68 apply (zenon_L170_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H1db | zenon_intro zenon_H2e0 ].
% 49.57/49.68 apply (zenon_L171_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1de | zenon_intro zenon_H225 ].
% 49.57/49.68 apply (zenon_L767_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H1ed | zenon_intro zenon_H2e1 ].
% 49.57/49.68 apply (zenon_L175_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H1ef | zenon_intro zenon_H2e2 ].
% 49.57/49.68 apply (zenon_L176_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H214 | zenon_intro zenon_H258 ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d0 ].
% 49.57/49.68 apply (zenon_L444_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H2d1 ].
% 49.57/49.68 apply (zenon_L177_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H238 | zenon_intro zenon_H256 ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H2d2 ].
% 49.57/49.68 apply (zenon_L173_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H1de | zenon_intro zenon_H2d3 ].
% 49.57/49.68 apply (zenon_L766_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H295 ].
% 49.57/49.68 apply (zenon_L240_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H254 ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H20c | zenon_intro zenon_H251 ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H28a | zenon_intro zenon_H326 ].
% 49.57/49.68 apply (zenon_L774_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H258 | zenon_intro zenon_H327 ].
% 49.57/49.68 apply (zenon_L195_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H323 | zenon_intro zenon_H242 ].
% 49.57/49.68 apply (zenon_L429_); trivial.
% 49.57/49.68 apply (zenon_L338_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H20f | zenon_intro zenon_H252 ].
% 49.57/49.68 apply (zenon_L435_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H215 | zenon_intro zenon_H242 ].
% 49.57/49.68 apply (zenon_L183_); trivial.
% 49.57/49.68 apply (zenon_L391_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1fb | zenon_intro zenon_H255 ].
% 49.57/49.68 apply (zenon_L178_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H203 | zenon_intro zenon_H229 ].
% 49.57/49.68 apply (zenon_L180_); trivial.
% 49.57/49.68 apply (zenon_L765_); trivial.
% 49.57/49.68 apply (zenon_L779_); trivial.
% 49.57/49.68 apply (zenon_L195_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H25b | zenon_intro zenon_H261 ].
% 49.57/49.68 apply (zenon_L196_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H193 | zenon_intro zenon_H30b ].
% 49.57/49.68 apply (zenon_L166_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H30b); [ zenon_intro zenon_H1da | zenon_intro zenon_H30c ].
% 49.57/49.68 apply (zenon_L395_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H30c); [ zenon_intro zenon_H302 | zenon_intro zenon_H305 ].
% 49.57/49.68 apply (zenon_L292_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d0 ].
% 49.57/49.68 apply (zenon_L265_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H2d1 ].
% 49.57/49.68 apply (zenon_L177_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H238 | zenon_intro zenon_H256 ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H2d2 ].
% 49.57/49.68 apply (zenon_L173_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H1de | zenon_intro zenon_H2d3 ].
% 49.57/49.68 apply (zenon_L450_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H295 ].
% 49.57/49.68 apply (zenon_L240_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H25e | zenon_intro zenon_H286 ].
% 49.57/49.68 apply (zenon_L322_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H214 | zenon_intro zenon_H287 ].
% 49.57/49.68 apply (zenon_L784_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H27b | zenon_intro zenon_H215 ].
% 49.57/49.68 apply (zenon_L211_); trivial.
% 49.57/49.68 apply (zenon_L452_); trivial.
% 49.57/49.68 apply (zenon_L335_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ].
% 49.57/49.68 apply (zenon_L159_); trivial.
% 49.57/49.68 apply (zenon_L160_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H288 | zenon_intro zenon_H2e3 ].
% 49.57/49.68 apply (zenon_L294_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H25e | zenon_intro zenon_H28a ].
% 49.57/49.68 apply (zenon_L772_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H19f | zenon_intro zenon_H28e ].
% 49.57/49.68 apply (zenon_L156_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28f ].
% 49.57/49.68 apply (zenon_L265_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H206 ].
% 49.57/49.68 apply (zenon_L783_); trivial.
% 49.57/49.68 apply (zenon_L215_); trivial.
% 49.57/49.68 apply (zenon_L222_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H260 ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H32c ].
% 49.57/49.68 apply (zenon_L165_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H32d ].
% 49.57/49.68 apply (zenon_L170_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H30d | zenon_intro zenon_H29b ].
% 49.57/49.68 apply (zenon_L778_); trivial.
% 49.57/49.68 apply (zenon_L222_); trivial.
% 49.57/49.68 apply (zenon_L380_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H52a); [ zenon_intro zenon_H193 | zenon_intro zenon_H535 ].
% 49.57/49.68 apply (zenon_L262_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H535); [ zenon_intro zenon_H2ee | zenon_intro zenon_H2f1 ].
% 49.57/49.68 apply (zenon_L263_); trivial.
% 49.57/49.68 apply (zenon_L306_); trivial.
% 49.57/49.68 apply (zenon_notand_s _ _ zenon_H565); [ zenon_intro zenon_H42d | zenon_intro zenon_H566 ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H487); [ zenon_intro zenon_H194 | zenon_intro zenon_H52a ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H2e9 ].
% 49.57/49.68 apply (zenon_L165_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H2ea ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H32c ].
% 49.57/49.68 apply (zenon_L165_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H32d ].
% 49.57/49.68 apply (zenon_L170_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H30d | zenon_intro zenon_H29b ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H1ec | zenon_intro zenon_H2dc ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H19f | zenon_intro zenon_H28e ].
% 49.57/49.68 apply (zenon_L156_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28f ].
% 49.57/49.68 apply (zenon_L265_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H206 ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ].
% 49.57/49.68 apply (zenon_L156_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d0 ].
% 49.57/49.68 apply (zenon_L265_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H2d1 ].
% 49.57/49.68 apply (zenon_L177_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H238 | zenon_intro zenon_H256 ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H317); [ zenon_intro zenon_H20b | zenon_intro zenon_H318 ].
% 49.57/49.68 apply (zenon_L382_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H305 | zenon_intro zenon_H319 ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H348); [ zenon_intro zenon_H2f1 | zenon_intro zenon_H349 ].
% 49.57/49.68 apply (zenon_L306_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H349); [ zenon_intro zenon_H261 | zenon_intro zenon_H34a ].
% 49.57/49.68 apply (zenon_L820_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H335 | zenon_intro zenon_H314 ].
% 49.57/49.68 apply (zenon_L386_); trivial.
% 49.57/49.68 apply (zenon_L814_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H290 | zenon_intro zenon_H314 ].
% 49.57/49.68 apply (zenon_L217_); trivial.
% 49.57/49.68 apply (zenon_L814_); trivial.
% 49.57/49.68 apply (zenon_L821_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ].
% 49.57/49.68 apply (zenon_L159_); trivial.
% 49.57/49.68 apply (zenon_L160_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ].
% 49.57/49.68 apply (zenon_L156_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d0 ].
% 49.57/49.68 apply (zenon_L444_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H2d1 ].
% 49.57/49.68 apply (zenon_L177_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H238 | zenon_intro zenon_H256 ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H317); [ zenon_intro zenon_H20b | zenon_intro zenon_H318 ].
% 49.57/49.68 apply (zenon_L382_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H305 | zenon_intro zenon_H319 ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H348); [ zenon_intro zenon_H2f1 | zenon_intro zenon_H349 ].
% 49.57/49.68 apply (zenon_L273_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H349); [ zenon_intro zenon_H261 | zenon_intro zenon_H34a ].
% 49.57/49.68 apply (zenon_L825_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H335 | zenon_intro zenon_H314 ].
% 49.57/49.68 apply (zenon_L386_); trivial.
% 49.57/49.68 apply (zenon_L814_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H290 | zenon_intro zenon_H314 ].
% 49.57/49.68 apply (zenon_L217_); trivial.
% 49.57/49.68 apply (zenon_L814_); trivial.
% 49.57/49.68 apply (zenon_L821_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ].
% 49.57/49.68 apply (zenon_L159_); trivial.
% 49.57/49.68 apply (zenon_L160_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H288 | zenon_intro zenon_H2e3 ].
% 49.57/49.68 apply (zenon_L294_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H25e | zenon_intro zenon_H28a ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H19f | zenon_intro zenon_H28e ].
% 49.57/49.68 apply (zenon_L156_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28f ].
% 49.57/49.68 apply (zenon_L265_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H206 ].
% 49.57/49.68 apply (zenon_L221_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d0 ].
% 49.57/49.68 apply (zenon_L265_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H2d1 ].
% 49.57/49.68 apply (zenon_L177_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H238 | zenon_intro zenon_H256 ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H2d2 ].
% 49.57/49.68 apply (zenon_L197_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H1de | zenon_intro zenon_H2d3 ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H317); [ zenon_intro zenon_H20b | zenon_intro zenon_H318 ].
% 49.57/49.68 apply (zenon_L382_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H305 | zenon_intro zenon_H319 ].
% 49.57/49.68 apply (zenon_L827_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H290 | zenon_intro zenon_H314 ].
% 49.57/49.68 apply (zenon_L217_); trivial.
% 49.57/49.68 apply (zenon_L814_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H295 ].
% 49.57/49.68 apply (zenon_L240_); trivial.
% 49.57/49.68 apply (zenon_L322_); trivial.
% 49.57/49.68 apply (zenon_L821_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H19f | zenon_intro zenon_H28e ].
% 49.57/49.68 apply (zenon_L156_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28f ].
% 49.57/49.68 apply (zenon_L265_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H206 ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ].
% 49.57/49.68 apply (zenon_L156_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H317); [ zenon_intro zenon_H20b | zenon_intro zenon_H318 ].
% 49.57/49.68 apply (zenon_L382_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H305 | zenon_intro zenon_H319 ].
% 49.57/49.68 apply (zenon_L418_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H290 | zenon_intro zenon_H314 ].
% 49.57/49.68 apply (zenon_L217_); trivial.
% 49.57/49.68 apply (zenon_L814_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ].
% 49.57/49.68 apply (zenon_L159_); trivial.
% 49.57/49.68 apply (zenon_L160_); trivial.
% 49.57/49.68 apply (zenon_L215_); trivial.
% 49.57/49.68 apply (zenon_L222_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H260 ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H32c ].
% 49.57/49.68 apply (zenon_L165_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H32d ].
% 49.57/49.68 apply (zenon_L170_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H30d | zenon_intro zenon_H29b ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H1ec | zenon_intro zenon_H2dc ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H19f | zenon_intro zenon_H28e ].
% 49.57/49.68 apply (zenon_L156_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28f ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ].
% 49.57/49.68 apply (zenon_L156_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2dd ].
% 49.57/49.68 apply (zenon_L158_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1da | zenon_intro zenon_H2de ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H2df ].
% 49.57/49.68 apply (zenon_L170_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H1db | zenon_intro zenon_H2e0 ].
% 49.57/49.68 apply (zenon_L171_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1de | zenon_intro zenon_H225 ].
% 49.57/49.68 apply (zenon_L172_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H2eb ].
% 49.57/49.68 apply (zenon_L265_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H1db | zenon_intro zenon_H2ec ].
% 49.57/49.68 apply (zenon_L171_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H20e ].
% 49.57/49.68 apply (zenon_L174_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H1ac | zenon_intro zenon_H278 ].
% 49.57/49.68 apply (zenon_L159_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H238 | zenon_intro zenon_H279 ].
% 49.57/49.68 apply (zenon_L296_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H203 | zenon_intro zenon_H275 ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H317); [ zenon_intro zenon_H20b | zenon_intro zenon_H318 ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H348); [ zenon_intro zenon_H2f1 | zenon_intro zenon_H349 ].
% 49.57/49.68 apply (zenon_L302_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H349); [ zenon_intro zenon_H261 | zenon_intro zenon_H34a ].
% 49.57/49.68 apply (zenon_L673_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H335 | zenon_intro zenon_H314 ].
% 49.57/49.68 apply (zenon_L386_); trivial.
% 49.57/49.68 apply (zenon_L814_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H305 | zenon_intro zenon_H319 ].
% 49.57/49.68 apply (zenon_L312_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H290 | zenon_intro zenon_H314 ].
% 49.57/49.68 apply (zenon_L217_); trivial.
% 49.57/49.68 apply (zenon_L814_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H254 ].
% 49.57/49.68 apply (zenon_L169_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1fb | zenon_intro zenon_H255 ].
% 49.57/49.68 apply (zenon_L178_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H203 | zenon_intro zenon_H229 ].
% 49.57/49.68 apply (zenon_L284_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H317); [ zenon_intro zenon_H20b | zenon_intro zenon_H318 ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H348); [ zenon_intro zenon_H2f1 | zenon_intro zenon_H349 ].
% 49.57/49.68 apply (zenon_L300_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H349); [ zenon_intro zenon_H261 | zenon_intro zenon_H34a ].
% 49.57/49.68 apply (zenon_L199_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H335 | zenon_intro zenon_H314 ].
% 49.57/49.68 apply (zenon_L386_); trivial.
% 49.57/49.68 apply (zenon_L814_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H305 | zenon_intro zenon_H319 ].
% 49.57/49.68 apply (zenon_L312_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H290 | zenon_intro zenon_H314 ].
% 49.57/49.68 apply (zenon_L217_); trivial.
% 49.57/49.68 apply (zenon_L814_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H25b | zenon_intro zenon_H261 ].
% 49.57/49.68 apply (zenon_L196_); trivial.
% 49.57/49.68 apply (zenon_L673_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ].
% 49.57/49.68 apply (zenon_L159_); trivial.
% 49.57/49.68 apply (zenon_L160_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H206 ].
% 49.57/49.68 apply (zenon_L169_); trivial.
% 49.57/49.68 apply (zenon_L823_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H288 | zenon_intro zenon_H2e3 ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H19f | zenon_intro zenon_H28e ].
% 49.57/49.68 apply (zenon_L156_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28f ].
% 49.57/49.68 apply (zenon_L373_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H206 ].
% 49.57/49.68 apply (zenon_L169_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ].
% 49.57/49.68 apply (zenon_L156_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2dd ].
% 49.57/49.68 apply (zenon_L158_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1da | zenon_intro zenon_H2de ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H2df ].
% 49.57/49.68 apply (zenon_L170_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H1db | zenon_intro zenon_H2e0 ].
% 49.57/49.68 apply (zenon_L171_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1de | zenon_intro zenon_H225 ].
% 49.57/49.68 apply (zenon_L172_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H2eb ].
% 49.57/49.68 apply (zenon_L294_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H1db | zenon_intro zenon_H2ec ].
% 49.57/49.68 apply (zenon_L171_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H20e ].
% 49.57/49.68 apply (zenon_L174_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d0 ].
% 49.57/49.68 apply (zenon_L373_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H2d1 ].
% 49.57/49.68 apply (zenon_L177_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H238 | zenon_intro zenon_H256 ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H25e | zenon_intro zenon_H286 ].
% 49.57/49.68 apply (zenon_L197_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H214 | zenon_intro zenon_H287 ].
% 49.57/49.68 apply (zenon_L822_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H27b | zenon_intro zenon_H215 ].
% 49.57/49.68 apply (zenon_L211_); trivial.
% 49.57/49.68 apply (zenon_L212_); trivial.
% 49.57/49.68 apply (zenon_L194_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H25b | zenon_intro zenon_H261 ].
% 49.57/49.68 apply (zenon_L196_); trivial.
% 49.57/49.68 apply (zenon_L213_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ].
% 49.57/49.68 apply (zenon_L159_); trivial.
% 49.57/49.68 apply (zenon_L160_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H25e | zenon_intro zenon_H28a ].
% 49.57/49.68 apply (zenon_L197_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H19f | zenon_intro zenon_H28e ].
% 49.57/49.68 apply (zenon_L156_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28f ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ].
% 49.57/49.68 apply (zenon_L156_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2dd ].
% 49.57/49.68 apply (zenon_L158_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1da | zenon_intro zenon_H2de ].
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H2eb ].
% 49.57/49.68 apply (zenon_L173_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H1db | zenon_intro zenon_H2ec ].
% 49.57/49.68 apply (zenon_L171_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H20e ].
% 49.57/49.68 apply (zenon_L174_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H317); [ zenon_intro zenon_H20b | zenon_intro zenon_H318 ].
% 49.57/49.68 apply (zenon_L828_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H305 | zenon_intro zenon_H319 ].
% 49.57/49.68 apply (zenon_L312_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H290 | zenon_intro zenon_H314 ].
% 49.57/49.68 apply (zenon_L217_); trivial.
% 49.57/49.68 apply (zenon_L814_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H25b | zenon_intro zenon_H261 ].
% 49.57/49.68 apply (zenon_L196_); trivial.
% 49.57/49.68 apply (zenon_L682_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ].
% 49.57/49.68 apply (zenon_L159_); trivial.
% 49.57/49.68 apply (zenon_L160_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H206 ].
% 49.57/49.68 apply (zenon_L169_); trivial.
% 49.57/49.68 apply (zenon_L215_); trivial.
% 49.57/49.68 apply (zenon_L222_); trivial.
% 49.57/49.68 apply (zenon_L380_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H52a); [ zenon_intro zenon_H193 | zenon_intro zenon_H535 ].
% 49.57/49.68 apply (zenon_L262_); trivial.
% 49.57/49.68 apply (zenon_or_s _ _ zenon_H535); [ zenon_intro zenon_H2ee | zenon_intro zenon_H2f1 ].
% 49.57/49.68 apply (zenon_L263_); trivial.
% 49.57/49.68 apply (zenon_L306_); trivial.
% 49.57/49.68 apply (zenon_notand_s _ _ zenon_H566); [ zenon_intro zenon_H568 | zenon_intro zenon_H567 ].
% 49.57/49.68 apply (zenon_notor_s _ _ zenon_H568). zenon_intro zenon_H12. zenon_intro zenon_H569.
% 49.57/49.68 apply (zenon_L1_); trivial.
% 49.57/49.68 apply (zenon_notand_s _ _ zenon_H567); [ zenon_intro zenon_H56b | zenon_intro zenon_H56a ].
% 49.57/49.68 apply (zenon_notor_s _ _ zenon_H56b). zenon_intro zenon_H56d. zenon_intro zenon_H56c.
% 49.57/49.68 apply (zenon_notor_s _ _ zenon_H56c). zenon_intro zenon_H399. zenon_intro zenon_H56e.
% 49.57/49.68 apply (zenon_L651_); trivial.
% 49.57/49.68 apply (zenon_notand_s _ _ zenon_H56a); [ zenon_intro zenon_H56f | zenon_intro zenon_H433 ].
% 49.57/49.68 apply (zenon_notor_s _ _ zenon_H56f). zenon_intro zenon_H571. zenon_intro zenon_H570.
% 49.57/49.68 apply (zenon_notor_s _ _ zenon_H570). zenon_intro zenon_H573. zenon_intro zenon_H572.
% 49.57/49.68 apply (zenon_notor_s _ _ zenon_H572). zenon_intro zenon_H3d8. zenon_intro zenon_H574.
% 49.57/49.68 exact (zenon_H3d8 zenon_H3b0).
% 49.57/49.68 apply (zenon_L829_); trivial.
% 49.57/49.68 Qed.
% 49.57/49.68 % SZS output end Proof
% 49.57/49.68 (* END-PROOF *)
% 49.57/49.68 nodes searched: 1903481
% 49.57/49.68 max branch formulas: 2064
% 49.57/49.68 proof nodes created: 33831
% 49.57/49.68 formulas created: 1037637
% 49.57/49.68
%------------------------------------------------------------------------------