TSTP Solution File: ALG125+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : ALG125+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n021.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 18:29:35 EDT 2022
% Result : Theorem 32.93s 33.13s
% Output : Proof 33.05s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : ALG125+1 : TPTP v8.1.0. Released v2.7.0.
% 0.12/0.13 % Command : run_zenon %s %d
% 0.13/0.35 % Computer : n021.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Thu Jun 9 05:46:23 EDT 2022
% 0.13/0.35 % CPUTime :
% 32.93/33.13 (* PROOF-FOUND *)
% 32.93/33.13 % SZS status Theorem
% 32.93/33.13 (* BEGIN-PROOF *)
% 32.93/33.13 % SZS output start Proof
% 32.93/33.13 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))))))))))))))))))))))))))).
% 32.93/33.13 Proof.
% 32.93/33.13 assert (zenon_L1_ : (~((e20) = (e20))) -> False).
% 32.93/33.13 do 0 intro. intros zenon_H12.
% 32.93/33.13 apply zenon_H12. apply refl_equal.
% 32.93/33.13 (* end of lemma zenon_L1_ *)
% 32.93/33.13 assert (zenon_L2_ : (~((op2 (e20) (op2 (e20) (e20))) = (op2 (e20) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> False).
% 32.93/33.13 do 0 intro. intros zenon_H13 zenon_H14.
% 32.93/33.13 cut (((op2 (e20) (e20)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H15].
% 32.93/33.13 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H12].
% 32.93/33.13 congruence.
% 32.93/33.13 apply zenon_H12. apply refl_equal.
% 32.93/33.13 exact (zenon_H15 zenon_H14).
% 32.93/33.13 (* end of lemma zenon_L2_ *)
% 32.93/33.13 assert (zenon_L3_ : (~((op2 (op2 (e23) (e23)) (op2 (e23) (e23))) = (op2 (e21) (e21)))) -> ((e21) = (op2 (e23) (e23))) -> False).
% 32.93/33.13 do 0 intro. intros zenon_H16 zenon_H17.
% 32.93/33.13 cut (((op2 (e23) (e23)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H18].
% 32.93/33.13 cut (((op2 (e23) (e23)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H18].
% 32.93/33.13 congruence.
% 32.93/33.13 apply zenon_H18. apply sym_equal. exact zenon_H17.
% 32.93/33.13 apply zenon_H18. apply sym_equal. exact zenon_H17.
% 32.93/33.13 (* end of lemma zenon_L3_ *)
% 32.93/33.13 assert (zenon_L4_ : (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((op2 (e20) (e21)) = (e20)) -> ((e21) = (op2 (e23) (e23))) -> False).
% 32.93/33.13 do 0 intro. intros zenon_H19 zenon_H1a zenon_H1b zenon_H17.
% 32.93/33.13 cut (((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) = ((op2 (e20) (e21)) = (op2 (e21) (e21)))).
% 32.93/33.13 intro zenon_D_pnotp.
% 32.93/33.13 apply zenon_H19.
% 32.93/33.13 rewrite <- zenon_D_pnotp.
% 32.93/33.13 exact zenon_H1a.
% 32.93/33.13 cut (((op2 (op2 (e23) (e23)) (op2 (e23) (e23))) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H16].
% 32.93/33.13 cut (((e20) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H1c].
% 32.93/33.13 congruence.
% 32.93/33.13 elim (classic ((op2 (e20) (e21)) = (op2 (e20) (e21)))); [ zenon_intro zenon_H1d | zenon_intro zenon_H1e ].
% 32.93/33.13 cut (((op2 (e20) (e21)) = (op2 (e20) (e21))) = ((e20) = (op2 (e20) (e21)))).
% 32.93/33.13 intro zenon_D_pnotp.
% 32.93/33.13 apply zenon_H1c.
% 32.93/33.13 rewrite <- zenon_D_pnotp.
% 32.93/33.13 exact zenon_H1d.
% 32.93/33.13 cut (((op2 (e20) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H1e].
% 32.93/33.13 cut (((op2 (e20) (e21)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H1f].
% 32.93/33.13 congruence.
% 32.93/33.13 exact (zenon_H1f zenon_H1b).
% 32.93/33.13 apply zenon_H1e. apply refl_equal.
% 32.93/33.13 apply zenon_H1e. apply refl_equal.
% 32.93/33.13 apply (zenon_L3_); trivial.
% 32.93/33.13 (* end of lemma zenon_L4_ *)
% 32.93/33.13 assert (zenon_L5_ : ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((op2 (e22) (e21)) = (e20)) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> False).
% 32.93/33.13 do 0 intro. intros zenon_H1a zenon_H20 zenon_H17 zenon_H21.
% 32.93/33.13 elim (classic ((op2 (e22) (e21)) = (op2 (e22) (e21)))); [ zenon_intro zenon_H22 | zenon_intro zenon_H23 ].
% 32.93/33.13 cut (((op2 (e22) (e21)) = (op2 (e22) (e21))) = ((op2 (e21) (e21)) = (op2 (e22) (e21)))).
% 32.93/33.13 intro zenon_D_pnotp.
% 32.93/33.13 apply zenon_H21.
% 32.93/33.13 rewrite <- zenon_D_pnotp.
% 32.93/33.13 exact zenon_H22.
% 32.93/33.13 cut (((op2 (e22) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H23].
% 32.93/33.13 cut (((op2 (e22) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H24].
% 32.93/33.13 congruence.
% 32.93/33.13 cut (((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) = ((op2 (e22) (e21)) = (op2 (e21) (e21)))).
% 32.93/33.13 intro zenon_D_pnotp.
% 32.93/33.13 apply zenon_H24.
% 32.93/33.13 rewrite <- zenon_D_pnotp.
% 32.93/33.13 exact zenon_H1a.
% 32.93/33.13 cut (((op2 (op2 (e23) (e23)) (op2 (e23) (e23))) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H16].
% 32.93/33.13 cut (((e20) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H25].
% 32.93/33.13 congruence.
% 32.93/33.13 elim (classic ((op2 (e22) (e21)) = (op2 (e22) (e21)))); [ zenon_intro zenon_H22 | zenon_intro zenon_H23 ].
% 32.93/33.13 cut (((op2 (e22) (e21)) = (op2 (e22) (e21))) = ((e20) = (op2 (e22) (e21)))).
% 32.93/33.13 intro zenon_D_pnotp.
% 32.93/33.13 apply zenon_H25.
% 32.93/33.13 rewrite <- zenon_D_pnotp.
% 32.93/33.13 exact zenon_H22.
% 32.93/33.13 cut (((op2 (e22) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H23].
% 32.93/33.13 cut (((op2 (e22) (e21)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H26].
% 32.93/33.13 congruence.
% 32.93/33.13 exact (zenon_H26 zenon_H20).
% 32.93/33.13 apply zenon_H23. apply refl_equal.
% 32.93/33.13 apply zenon_H23. apply refl_equal.
% 32.93/33.13 apply (zenon_L3_); trivial.
% 32.93/33.13 apply zenon_H23. apply refl_equal.
% 32.93/33.13 apply zenon_H23. apply refl_equal.
% 32.93/33.13 (* end of lemma zenon_L5_ *)
% 32.93/33.13 assert (zenon_L6_ : ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((op2 (e23) (e21)) = (e20)) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> False).
% 32.93/33.13 do 0 intro. intros zenon_H1a zenon_H27 zenon_H17 zenon_H28.
% 32.93/33.13 elim (classic ((op2 (e23) (e21)) = (op2 (e23) (e21)))); [ zenon_intro zenon_H29 | zenon_intro zenon_H2a ].
% 32.93/33.13 cut (((op2 (e23) (e21)) = (op2 (e23) (e21))) = ((op2 (e21) (e21)) = (op2 (e23) (e21)))).
% 32.93/33.13 intro zenon_D_pnotp.
% 32.93/33.13 apply zenon_H28.
% 32.93/33.13 rewrite <- zenon_D_pnotp.
% 32.93/33.13 exact zenon_H29.
% 32.93/33.13 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2a].
% 32.93/33.13 cut (((op2 (e23) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 32.93/33.13 congruence.
% 32.93/33.13 cut (((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) = ((op2 (e23) (e21)) = (op2 (e21) (e21)))).
% 32.93/33.13 intro zenon_D_pnotp.
% 32.93/33.13 apply zenon_H2b.
% 32.93/33.13 rewrite <- zenon_D_pnotp.
% 32.93/33.13 exact zenon_H1a.
% 32.93/33.13 cut (((op2 (op2 (e23) (e23)) (op2 (e23) (e23))) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H16].
% 32.93/33.13 cut (((e20) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2c].
% 32.93/33.13 congruence.
% 32.93/33.13 elim (classic ((op2 (e23) (e21)) = (op2 (e23) (e21)))); [ zenon_intro zenon_H29 | zenon_intro zenon_H2a ].
% 32.93/33.13 cut (((op2 (e23) (e21)) = (op2 (e23) (e21))) = ((e20) = (op2 (e23) (e21)))).
% 32.93/33.13 intro zenon_D_pnotp.
% 32.93/33.13 apply zenon_H2c.
% 32.93/33.13 rewrite <- zenon_D_pnotp.
% 32.93/33.13 exact zenon_H29.
% 32.93/33.13 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2a].
% 32.93/33.13 cut (((op2 (e23) (e21)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H2d].
% 32.93/33.13 congruence.
% 32.93/33.13 exact (zenon_H2d zenon_H27).
% 32.93/33.13 apply zenon_H2a. apply refl_equal.
% 32.93/33.13 apply zenon_H2a. apply refl_equal.
% 32.93/33.13 apply (zenon_L3_); trivial.
% 32.93/33.13 apply zenon_H2a. apply refl_equal.
% 32.93/33.13 apply zenon_H2a. apply refl_equal.
% 32.93/33.13 (* end of lemma zenon_L6_ *)
% 32.93/33.13 assert (zenon_L7_ : (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e21)) = (e20))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> False).
% 32.93/33.13 do 0 intro. intros zenon_H2e zenon_H19 zenon_H2f zenon_H21 zenon_H1a zenon_H17 zenon_H28.
% 32.93/33.13 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H1b | zenon_intro zenon_H30 ].
% 32.93/33.13 apply (zenon_L4_); trivial.
% 32.93/33.13 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H32 | zenon_intro zenon_H31 ].
% 32.93/33.13 exact (zenon_H2f zenon_H32).
% 32.93/33.13 apply (zenon_or_s _ _ zenon_H31); [ zenon_intro zenon_H20 | zenon_intro zenon_H27 ].
% 32.93/33.13 apply (zenon_L5_); trivial.
% 32.93/33.13 apply (zenon_L6_); trivial.
% 32.93/33.13 (* end of lemma zenon_L7_ *)
% 32.93/33.13 assert (zenon_L8_ : (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e21) (e20)) = (e21)) -> ((op2 (e21) (e21)) = (e21)) -> False).
% 32.93/33.13 do 0 intro. intros zenon_H33 zenon_H34 zenon_H35.
% 32.93/33.13 cut (((op2 (e21) (e20)) = (e21)) = ((op2 (e21) (e20)) = (op2 (e21) (e21)))).
% 32.93/33.13 intro zenon_D_pnotp.
% 32.93/33.13 apply zenon_H33.
% 32.93/33.13 rewrite <- zenon_D_pnotp.
% 32.93/33.13 exact zenon_H34.
% 32.93/33.13 cut (((e21) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H36].
% 32.93/33.13 cut (((op2 (e21) (e20)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H37].
% 32.93/33.13 congruence.
% 32.93/33.13 apply zenon_H37. apply refl_equal.
% 32.93/33.13 apply zenon_H36. apply sym_equal. exact zenon_H35.
% 32.93/33.13 (* end of lemma zenon_L8_ *)
% 32.93/33.13 assert (zenon_L9_ : ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> ((op2 (e21) (e21)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> False).
% 32.93/33.13 do 0 intro. intros zenon_H38 zenon_H35 zenon_H33 zenon_H19 zenon_H1a zenon_H17 zenon_H21 zenon_H28 zenon_H2e.
% 32.93/33.13 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H2f | zenon_intro zenon_H34 ].
% 32.93/33.13 apply (zenon_L7_); trivial.
% 32.93/33.13 apply (zenon_L8_); trivial.
% 32.93/33.13 (* end of lemma zenon_L9_ *)
% 32.93/33.13 assert (zenon_L10_ : ((e21) = (op2 (e23) (e23))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e23) (e23)) = (op2 (e21) (e20)))) -> False).
% 32.93/33.13 do 0 intro. intros zenon_H17 zenon_H34 zenon_H39.
% 32.93/33.13 elim (classic ((op2 (e21) (e20)) = (op2 (e21) (e20)))); [ zenon_intro zenon_H3a | zenon_intro zenon_H37 ].
% 32.93/33.13 cut (((op2 (e21) (e20)) = (op2 (e21) (e20))) = ((op2 (e23) (e23)) = (op2 (e21) (e20)))).
% 32.93/33.13 intro zenon_D_pnotp.
% 32.93/33.13 apply zenon_H39.
% 32.93/33.13 rewrite <- zenon_D_pnotp.
% 32.93/33.13 exact zenon_H3a.
% 32.93/33.13 cut (((op2 (e21) (e20)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H37].
% 32.93/33.13 cut (((op2 (e21) (e20)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H3b].
% 32.93/33.13 congruence.
% 32.93/33.13 cut (((e21) = (op2 (e23) (e23))) = ((op2 (e21) (e20)) = (op2 (e23) (e23)))).
% 32.93/33.13 intro zenon_D_pnotp.
% 32.93/33.13 apply zenon_H3b.
% 32.93/33.13 rewrite <- zenon_D_pnotp.
% 32.93/33.13 exact zenon_H17.
% 32.93/33.13 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H3c].
% 32.93/33.13 cut (((e21) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H3d].
% 32.93/33.13 congruence.
% 32.93/33.13 elim (classic ((op2 (e21) (e20)) = (op2 (e21) (e20)))); [ zenon_intro zenon_H3a | zenon_intro zenon_H37 ].
% 32.93/33.13 cut (((op2 (e21) (e20)) = (op2 (e21) (e20))) = ((e21) = (op2 (e21) (e20)))).
% 32.93/33.13 intro zenon_D_pnotp.
% 32.93/33.13 apply zenon_H3d.
% 32.93/33.13 rewrite <- zenon_D_pnotp.
% 32.93/33.13 exact zenon_H3a.
% 32.93/33.13 cut (((op2 (e21) (e20)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H37].
% 32.93/33.13 cut (((op2 (e21) (e20)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H3e].
% 32.93/33.13 congruence.
% 32.93/33.13 exact (zenon_H3e zenon_H34).
% 32.93/33.13 apply zenon_H37. apply refl_equal.
% 32.93/33.13 apply zenon_H37. apply refl_equal.
% 32.93/33.13 apply zenon_H3c. apply refl_equal.
% 32.93/33.13 apply zenon_H37. apply refl_equal.
% 32.93/33.13 apply zenon_H37. apply refl_equal.
% 32.93/33.13 (* end of lemma zenon_L10_ *)
% 32.93/33.13 assert (zenon_L11_ : ((op2 (e22) (e20)) = (e21)) -> ((e21) = (op2 (e23) (e23))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> False).
% 32.93/33.13 do 0 intro. intros zenon_H3f zenon_H17 zenon_H34 zenon_H40.
% 32.93/33.13 elim (classic ((op2 (e22) (e20)) = (op2 (e22) (e20)))); [ zenon_intro zenon_H41 | zenon_intro zenon_H42 ].
% 32.93/33.13 cut (((op2 (e22) (e20)) = (op2 (e22) (e20))) = ((op2 (e21) (e20)) = (op2 (e22) (e20)))).
% 32.93/33.13 intro zenon_D_pnotp.
% 32.93/33.13 apply zenon_H40.
% 32.93/33.13 rewrite <- zenon_D_pnotp.
% 32.93/33.13 exact zenon_H41.
% 32.93/33.13 cut (((op2 (e22) (e20)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H42].
% 32.93/33.13 cut (((op2 (e22) (e20)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H43].
% 32.93/33.13 congruence.
% 32.93/33.13 cut (((e21) = (op2 (e23) (e23))) = ((op2 (e22) (e20)) = (op2 (e21) (e20)))).
% 32.93/33.13 intro zenon_D_pnotp.
% 32.93/33.13 apply zenon_H43.
% 32.93/33.13 rewrite <- zenon_D_pnotp.
% 32.93/33.13 exact zenon_H17.
% 32.93/33.13 cut (((op2 (e23) (e23)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H39].
% 32.93/33.13 cut (((e21) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H44].
% 32.93/33.13 congruence.
% 32.93/33.13 elim (classic ((op2 (e22) (e20)) = (op2 (e22) (e20)))); [ zenon_intro zenon_H41 | zenon_intro zenon_H42 ].
% 32.93/33.13 cut (((op2 (e22) (e20)) = (op2 (e22) (e20))) = ((e21) = (op2 (e22) (e20)))).
% 32.93/33.13 intro zenon_D_pnotp.
% 32.93/33.13 apply zenon_H44.
% 32.93/33.13 rewrite <- zenon_D_pnotp.
% 32.93/33.13 exact zenon_H41.
% 32.93/33.13 cut (((op2 (e22) (e20)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H42].
% 32.93/33.13 cut (((op2 (e22) (e20)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 32.93/33.13 congruence.
% 32.93/33.13 exact (zenon_H45 zenon_H3f).
% 32.93/33.13 apply zenon_H42. apply refl_equal.
% 32.93/33.13 apply zenon_H42. apply refl_equal.
% 32.93/33.13 apply (zenon_L10_); trivial.
% 32.93/33.13 apply zenon_H42. apply refl_equal.
% 32.93/33.13 apply zenon_H42. apply refl_equal.
% 32.93/33.13 (* end of lemma zenon_L11_ *)
% 32.93/33.13 assert (zenon_L12_ : (~((op2 (e23) (e23)) = (op2 (e22) (e21)))) -> ((op2 (e21) (e20)) = (e21)) -> ((e21) = (op2 (e23) (e23))) -> ((op2 (e22) (e21)) = (e21)) -> False).
% 32.93/33.13 do 0 intro. intros zenon_H46 zenon_H34 zenon_H17 zenon_H47.
% 32.93/33.13 cut (((op2 (e21) (e20)) = (e21)) = ((op2 (e23) (e23)) = (op2 (e22) (e21)))).
% 32.93/33.13 intro zenon_D_pnotp.
% 32.93/33.13 apply zenon_H46.
% 32.93/33.13 rewrite <- zenon_D_pnotp.
% 32.93/33.13 exact zenon_H34.
% 32.93/33.13 cut (((e21) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H48].
% 32.93/33.13 cut (((op2 (e21) (e20)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H3b].
% 32.93/33.13 congruence.
% 32.93/33.13 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H49 | zenon_intro zenon_H3c ].
% 32.93/33.13 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((op2 (e21) (e20)) = (op2 (e23) (e23)))).
% 32.93/33.13 intro zenon_D_pnotp.
% 32.93/33.13 apply zenon_H3b.
% 32.93/33.13 rewrite <- zenon_D_pnotp.
% 32.93/33.13 exact zenon_H49.
% 32.93/33.13 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H3c].
% 32.93/33.13 cut (((op2 (e23) (e23)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H39].
% 32.93/33.13 congruence.
% 32.93/33.13 apply (zenon_L10_); trivial.
% 32.93/33.13 apply zenon_H3c. apply refl_equal.
% 32.93/33.13 apply zenon_H3c. apply refl_equal.
% 32.93/33.13 apply zenon_H48. apply sym_equal. exact zenon_H47.
% 32.93/33.13 (* end of lemma zenon_L12_ *)
% 32.93/33.13 assert (zenon_L13_ : (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e20) (e21)) = (e21)) -> ((op2 (e22) (e21)) = (e21)) -> ((op2 (e21) (e20)) = (e21)) -> ((e21) = (op2 (e23) (e23))) -> False).
% 32.93/33.13 do 0 intro. intros zenon_H4a zenon_H4b zenon_H47 zenon_H34 zenon_H17.
% 32.93/33.13 cut (((e21) = (op2 (e23) (e23))) = ((op2 (e20) (e21)) = (op2 (e22) (e21)))).
% 32.93/33.13 intro zenon_D_pnotp.
% 32.93/33.13 apply zenon_H4a.
% 32.93/33.13 rewrite <- zenon_D_pnotp.
% 32.93/33.13 exact zenon_H17.
% 32.93/33.13 cut (((op2 (e23) (e23)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H46].
% 32.93/33.13 cut (((e21) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H4c].
% 32.93/33.13 congruence.
% 32.93/33.13 elim (classic ((op2 (e20) (e21)) = (op2 (e20) (e21)))); [ zenon_intro zenon_H1d | zenon_intro zenon_H1e ].
% 32.93/33.13 cut (((op2 (e20) (e21)) = (op2 (e20) (e21))) = ((e21) = (op2 (e20) (e21)))).
% 32.93/33.13 intro zenon_D_pnotp.
% 32.93/33.13 apply zenon_H4c.
% 32.93/33.13 rewrite <- zenon_D_pnotp.
% 32.93/33.13 exact zenon_H1d.
% 32.93/33.13 cut (((op2 (e20) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H1e].
% 32.93/33.13 cut (((op2 (e20) (e21)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H4d].
% 32.93/33.13 congruence.
% 32.93/33.13 exact (zenon_H4d zenon_H4b).
% 32.93/33.13 apply zenon_H1e. apply refl_equal.
% 32.93/33.13 apply zenon_H1e. apply refl_equal.
% 32.93/33.13 apply (zenon_L12_); trivial.
% 32.93/33.13 (* end of lemma zenon_L13_ *)
% 32.93/33.13 assert (zenon_L14_ : (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> ((op2 (e22) (e23)) = (e21)) -> False).
% 32.93/33.13 do 0 intro. intros zenon_H4e zenon_H17 zenon_H4f.
% 32.93/33.13 cut (((e21) = (op2 (e23) (e23))) = ((op2 (e22) (e23)) = (op2 (e23) (e23)))).
% 32.93/33.13 intro zenon_D_pnotp.
% 32.93/33.13 apply zenon_H4e.
% 32.93/33.13 rewrite <- zenon_D_pnotp.
% 32.93/33.13 exact zenon_H17.
% 32.93/33.13 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H3c].
% 32.93/33.13 cut (((e21) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H50].
% 32.93/33.13 congruence.
% 32.93/33.13 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H51 | zenon_intro zenon_H52 ].
% 32.93/33.13 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((e21) = (op2 (e22) (e23)))).
% 32.93/33.13 intro zenon_D_pnotp.
% 32.93/33.13 apply zenon_H50.
% 32.93/33.13 rewrite <- zenon_D_pnotp.
% 32.93/33.13 exact zenon_H51.
% 32.93/33.13 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H52].
% 32.93/33.13 cut (((op2 (e22) (e23)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H53].
% 32.93/33.13 congruence.
% 32.93/33.13 exact (zenon_H53 zenon_H4f).
% 32.93/33.13 apply zenon_H52. apply refl_equal.
% 32.93/33.13 apply zenon_H52. apply refl_equal.
% 32.93/33.13 apply zenon_H3c. apply refl_equal.
% 32.93/33.13 (* end of lemma zenon_L14_ *)
% 32.93/33.13 assert (zenon_L15_ : (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (e20)) = (e21)) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> False).
% 32.93/33.13 do 0 intro. intros zenon_H54 zenon_H40 zenon_H34 zenon_H4b zenon_H4a zenon_H55 zenon_H4e zenon_H17.
% 32.93/33.13 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H3f | zenon_intro zenon_H56 ].
% 32.93/33.13 apply (zenon_L11_); trivial.
% 32.93/33.13 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H47 | zenon_intro zenon_H57 ].
% 32.93/33.13 apply (zenon_L13_); trivial.
% 32.93/33.13 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H58 | zenon_intro zenon_H4f ].
% 32.93/33.13 exact (zenon_H55 zenon_H58).
% 32.93/33.13 apply (zenon_L14_); trivial.
% 32.93/33.13 (* end of lemma zenon_L15_ *)
% 32.93/33.13 assert (zenon_L16_ : (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (e20)) = (e21)) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> False).
% 32.93/33.13 do 0 intro. intros zenon_H54 zenon_H40 zenon_H34 zenon_H4b zenon_H4a zenon_H59 zenon_H5a zenon_H4e zenon_H17.
% 32.93/33.13 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H3f | zenon_intro zenon_H56 ].
% 32.93/33.13 apply (zenon_L11_); trivial.
% 32.93/33.13 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H47 | zenon_intro zenon_H57 ].
% 32.93/33.13 apply (zenon_L13_); trivial.
% 32.93/33.13 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H58 | zenon_intro zenon_H4f ].
% 32.93/33.13 cut (((op2 (e20) (e22)) = (e21)) = ((op2 (e20) (e22)) = (op2 (e22) (e22)))).
% 32.93/33.13 intro zenon_D_pnotp.
% 32.93/33.13 apply zenon_H5a.
% 32.93/33.13 rewrite <- zenon_D_pnotp.
% 32.93/33.13 exact zenon_H59.
% 32.93/33.13 cut (((e21) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H5b].
% 32.93/33.13 cut (((op2 (e20) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H5c].
% 32.93/33.13 congruence.
% 32.93/33.13 apply zenon_H5c. apply refl_equal.
% 32.93/33.13 apply zenon_H5b. apply sym_equal. exact zenon_H58.
% 32.93/33.13 apply (zenon_L14_); trivial.
% 32.93/33.13 (* end of lemma zenon_L16_ *)
% 32.93/33.13 assert (zenon_L17_ : (~((e22) = (e22))) -> False).
% 32.93/33.13 do 0 intro. intros zenon_H5d.
% 32.93/33.13 apply zenon_H5d. apply refl_equal.
% 32.93/33.13 (* end of lemma zenon_L17_ *)
% 32.93/33.13 assert (zenon_L18_ : (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> ((op2 (e23) (e21)) = (e21)) -> False).
% 32.93/33.13 do 0 intro. intros zenon_H5e zenon_H17 zenon_H5f.
% 32.93/33.13 cut (((e21) = (op2 (e23) (e23))) = ((op2 (e23) (e21)) = (op2 (e23) (e23)))).
% 32.93/33.13 intro zenon_D_pnotp.
% 32.93/33.13 apply zenon_H5e.
% 32.93/33.13 rewrite <- zenon_D_pnotp.
% 32.93/33.13 exact zenon_H17.
% 32.93/33.13 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H3c].
% 32.93/33.13 cut (((e21) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H60].
% 32.93/33.13 congruence.
% 32.93/33.13 elim (classic ((op2 (e23) (e21)) = (op2 (e23) (e21)))); [ zenon_intro zenon_H29 | zenon_intro zenon_H2a ].
% 32.93/33.13 cut (((op2 (e23) (e21)) = (op2 (e23) (e21))) = ((e21) = (op2 (e23) (e21)))).
% 32.93/33.13 intro zenon_D_pnotp.
% 32.93/33.13 apply zenon_H60.
% 32.93/33.13 rewrite <- zenon_D_pnotp.
% 32.93/33.13 exact zenon_H29.
% 32.93/33.13 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2a].
% 32.93/33.13 cut (((op2 (e23) (e21)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H61].
% 32.93/33.13 congruence.
% 32.93/33.13 exact (zenon_H61 zenon_H5f).
% 32.93/33.13 apply zenon_H2a. apply refl_equal.
% 32.93/33.13 apply zenon_H2a. apply refl_equal.
% 32.93/33.13 apply zenon_H3c. apply refl_equal.
% 32.93/33.13 (* end of lemma zenon_L18_ *)
% 32.93/33.13 assert (zenon_L19_ : (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> ((op2 (e20) (e23)) = (e21)) -> False).
% 32.93/33.13 do 0 intro. intros zenon_H62 zenon_H17 zenon_H63.
% 32.93/33.13 cut (((e21) = (op2 (e23) (e23))) = ((op2 (e20) (e23)) = (op2 (e23) (e23)))).
% 32.93/33.13 intro zenon_D_pnotp.
% 32.93/33.13 apply zenon_H62.
% 32.93/33.13 rewrite <- zenon_D_pnotp.
% 32.93/33.13 exact zenon_H17.
% 32.93/33.13 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H3c].
% 32.93/33.13 cut (((e21) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H64].
% 32.93/33.13 congruence.
% 32.93/33.13 elim (classic ((op2 (e20) (e23)) = (op2 (e20) (e23)))); [ zenon_intro zenon_H65 | zenon_intro zenon_H66 ].
% 32.93/33.13 cut (((op2 (e20) (e23)) = (op2 (e20) (e23))) = ((e21) = (op2 (e20) (e23)))).
% 32.93/33.13 intro zenon_D_pnotp.
% 32.93/33.13 apply zenon_H64.
% 32.93/33.13 rewrite <- zenon_D_pnotp.
% 32.93/33.13 exact zenon_H65.
% 32.93/33.13 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H66].
% 32.93/33.13 cut (((op2 (e20) (e23)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H67].
% 32.93/33.13 congruence.
% 32.93/33.13 exact (zenon_H67 zenon_H63).
% 32.93/33.13 apply zenon_H66. apply refl_equal.
% 32.93/33.13 apply zenon_H66. apply refl_equal.
% 32.93/33.13 apply zenon_H3c. apply refl_equal.
% 32.93/33.13 (* end of lemma zenon_L19_ *)
% 32.93/33.13 assert (zenon_L20_ : ((op2 (e22) (e22)) = (e22)) -> ((op2 (e22) (e21)) = (e22)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> False).
% 32.93/33.13 do 0 intro. intros zenon_H68 zenon_H69 zenon_H6a.
% 32.93/33.13 elim (classic ((op2 (e22) (e22)) = (op2 (e22) (e22)))); [ zenon_intro zenon_H6b | zenon_intro zenon_H6c ].
% 32.93/33.13 cut (((op2 (e22) (e22)) = (op2 (e22) (e22))) = ((op2 (e22) (e21)) = (op2 (e22) (e22)))).
% 32.93/33.13 intro zenon_D_pnotp.
% 32.93/33.13 apply zenon_H6a.
% 32.93/33.13 rewrite <- zenon_D_pnotp.
% 32.93/33.13 exact zenon_H6b.
% 32.93/33.13 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H6c].
% 32.93/33.13 cut (((op2 (e22) (e22)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H6d].
% 32.93/33.13 congruence.
% 32.93/33.13 cut (((op2 (e22) (e22)) = (e22)) = ((op2 (e22) (e22)) = (op2 (e22) (e21)))).
% 32.93/33.13 intro zenon_D_pnotp.
% 32.93/33.13 apply zenon_H6d.
% 32.93/33.13 rewrite <- zenon_D_pnotp.
% 32.93/33.13 exact zenon_H68.
% 32.93/33.13 cut (((e22) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H6e].
% 32.93/33.13 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H6c].
% 32.93/33.13 congruence.
% 32.93/33.13 apply zenon_H6c. apply refl_equal.
% 32.93/33.13 apply zenon_H6e. apply sym_equal. exact zenon_H69.
% 32.93/33.13 apply zenon_H6c. apply refl_equal.
% 32.93/33.13 apply zenon_H6c. apply refl_equal.
% 32.93/33.13 (* end of lemma zenon_L20_ *)
% 32.93/33.13 assert (zenon_L21_ : ((~((op2 (e20) (e20)) = (e21)))\/((op2 (e20) (e21)) = (e20))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((e21) = (op2 (e23) (e23))) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((~((op2 (e21) (e21)) = (e21)))\/((op2 (e21) (e21)) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (op2 (e20) (e22))) = (op2 (e20) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e22)) = (e22)) -> ((~((op2 (e22) (e22)) = (e21)))\/((op2 (e22) (e21)) = (e22))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> False).
% 32.93/33.13 do 0 intro. intros zenon_H6f zenon_H2e zenon_H28 zenon_H21 zenon_H17 zenon_H1a zenon_H19 zenon_H70 zenon_H33 zenon_H71 zenon_H62 zenon_H5a zenon_H72 zenon_H5e zenon_H73 zenon_H40 zenon_H4a zenon_H4e zenon_H54 zenon_H6a zenon_H68 zenon_H74 zenon_H38.
% 32.93/33.13 apply (zenon_or_s _ _ zenon_H6f); [ zenon_intro zenon_H75 | zenon_intro zenon_H1b ].
% 32.93/33.13 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H2f | zenon_intro zenon_H34 ].
% 32.93/33.13 apply (zenon_L7_); trivial.
% 32.93/33.13 apply (zenon_or_s _ _ zenon_H70); [ zenon_intro zenon_H76 | zenon_intro zenon_H35 ].
% 32.93/33.13 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H55 | zenon_intro zenon_H69 ].
% 32.93/33.13 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H78 | zenon_intro zenon_H77 ].
% 32.93/33.13 exact (zenon_H75 zenon_H78).
% 32.93/33.13 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H4b | zenon_intro zenon_H79 ].
% 32.93/33.13 apply (zenon_L15_); trivial.
% 32.93/33.13 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H59 | zenon_intro zenon_H63 ].
% 32.93/33.13 apply (zenon_or_s _ _ zenon_H73); [ zenon_intro zenon_H4b | zenon_intro zenon_H7a ].
% 32.93/33.13 apply (zenon_L16_); trivial.
% 32.93/33.13 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H35 | zenon_intro zenon_H7b ].
% 32.93/33.13 exact (zenon_H76 zenon_H35).
% 32.93/33.13 apply (zenon_or_s _ _ zenon_H7b); [ zenon_intro zenon_H47 | zenon_intro zenon_H5f ].
% 32.93/33.13 cut (((op2 (e22) (e21)) = (e21)) = ((op2 (e22) (op2 (e20) (e22))) = (op2 (e20) (e22)))).
% 32.93/33.13 intro zenon_D_pnotp.
% 32.93/33.13 apply zenon_H72.
% 32.93/33.13 rewrite <- zenon_D_pnotp.
% 32.93/33.13 exact zenon_H47.
% 32.93/33.13 cut (((e21) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H7c].
% 32.93/33.13 cut (((op2 (e22) (e21)) = (op2 (e22) (op2 (e20) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H7d].
% 32.93/33.13 congruence.
% 32.93/33.13 elim (classic ((op2 (e22) (op2 (e20) (e22))) = (op2 (e22) (op2 (e20) (e22))))); [ zenon_intro zenon_H7e | zenon_intro zenon_H7f ].
% 32.93/33.13 cut (((op2 (e22) (op2 (e20) (e22))) = (op2 (e22) (op2 (e20) (e22)))) = ((op2 (e22) (e21)) = (op2 (e22) (op2 (e20) (e22))))).
% 32.93/33.13 intro zenon_D_pnotp.
% 32.93/33.13 apply zenon_H7d.
% 32.93/33.13 rewrite <- zenon_D_pnotp.
% 32.93/33.13 exact zenon_H7e.
% 32.93/33.13 cut (((op2 (e22) (op2 (e20) (e22))) = (op2 (e22) (op2 (e20) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H7f].
% 32.93/33.13 cut (((op2 (e22) (op2 (e20) (e22))) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H80].
% 32.93/33.13 congruence.
% 32.93/33.13 cut (((op2 (e20) (e22)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H81].
% 32.93/33.13 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H5d].
% 32.93/33.13 congruence.
% 32.93/33.13 apply zenon_H5d. apply refl_equal.
% 32.93/33.13 exact (zenon_H81 zenon_H59).
% 32.93/33.13 apply zenon_H7f. apply refl_equal.
% 32.93/33.13 apply zenon_H7f. apply refl_equal.
% 32.93/33.13 apply zenon_H7c. apply sym_equal. exact zenon_H59.
% 32.93/33.13 apply (zenon_L18_); trivial.
% 32.93/33.13 apply (zenon_L19_); trivial.
% 32.93/33.13 apply (zenon_L20_); trivial.
% 32.93/33.13 apply (zenon_L8_); trivial.
% 32.93/33.13 apply (zenon_L4_); trivial.
% 32.93/33.13 (* end of lemma zenon_L21_ *)
% 32.93/33.13 assert (zenon_L22_ : (~((e21) = (e21))) -> False).
% 32.93/33.13 do 0 intro. intros zenon_H82.
% 32.93/33.13 apply zenon_H82. apply refl_equal.
% 32.93/33.13 (* end of lemma zenon_L22_ *)
% 32.93/33.13 assert (zenon_L23_ : (~((e21) = (e23))) -> ((e21) = (op2 (e23) (e23))) -> ((op2 (e23) (e23)) = (e23)) -> False).
% 32.93/33.13 do 0 intro. intros zenon_H83 zenon_H17 zenon_H84.
% 32.93/33.13 cut (((e21) = (op2 (e23) (e23))) = ((e21) = (e23))).
% 32.93/33.13 intro zenon_D_pnotp.
% 32.93/33.13 apply zenon_H83.
% 32.93/33.13 rewrite <- zenon_D_pnotp.
% 32.93/33.13 exact zenon_H17.
% 32.93/33.13 cut (((op2 (e23) (e23)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H85].
% 32.93/33.13 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H82].
% 32.93/33.13 congruence.
% 32.93/33.13 apply zenon_H82. apply refl_equal.
% 32.93/33.13 exact (zenon_H85 zenon_H84).
% 32.93/33.13 (* end of lemma zenon_L23_ *)
% 32.93/33.13 assert (zenon_L24_ : ((~((op2 (e20) (op2 (e20) (e20))) = (op2 (e20) (e20))))/\((~((op2 (e21) (op2 (e20) (e21))) = (op2 (e20) (e21))))/\((~((op2 (e22) (op2 (e20) (e22))) = (op2 (e20) (e22))))/\(~((op2 (e23) (op2 (e20) (e23))) = (op2 (e20) (e23))))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> ((~((op2 (e22) (e22)) = (e21)))\/((op2 (e22) (e21)) = (e22))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((~((op2 (e21) (e21)) = (e21)))\/((op2 (e21) (e21)) = (e21))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> ((~((op2 (e20) (e20)) = (e21)))\/((op2 (e20) (e21)) = (e20))) -> (~((e21) = (e23))) -> ((e21) = (op2 (e23) (e23))) -> False).
% 32.93/33.13 do 0 intro. intros zenon_H86 zenon_H87 zenon_H38 zenon_H74 zenon_H6a zenon_H54 zenon_H4e zenon_H4a zenon_H40 zenon_H73 zenon_H5e zenon_H5a zenon_H62 zenon_H71 zenon_H33 zenon_H70 zenon_H19 zenon_H1a zenon_H21 zenon_H28 zenon_H2e zenon_H6f zenon_H83 zenon_H17.
% 32.93/33.13 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H13. zenon_intro zenon_H88.
% 32.93/33.13 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H8a. zenon_intro zenon_H89.
% 32.93/33.13 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H72. zenon_intro zenon_H8b.
% 32.93/33.13 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H14 | zenon_intro zenon_H8c ].
% 32.93/33.13 apply (zenon_L2_); trivial.
% 32.93/33.13 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H35 | zenon_intro zenon_H8d ].
% 32.93/33.13 apply (zenon_L9_); trivial.
% 32.93/33.13 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H68 | zenon_intro zenon_H84 ].
% 32.93/33.13 apply (zenon_L21_); trivial.
% 32.93/33.13 apply (zenon_L23_); trivial.
% 32.93/33.13 (* end of lemma zenon_L24_ *)
% 32.93/33.13 assert (zenon_L25_ : (~((e10) = (e10))) -> False).
% 32.93/33.13 do 0 intro. intros zenon_H8e.
% 32.93/33.13 apply zenon_H8e. apply refl_equal.
% 32.93/33.13 (* end of lemma zenon_L25_ *)
% 32.93/33.13 assert (zenon_L26_ : (~((op1 (op1 (e13) (e13)) (op1 (e13) (e13))) = (op1 (e11) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 32.93/33.13 do 0 intro. intros zenon_H8f zenon_H90.
% 32.93/33.13 cut (((op1 (e13) (e13)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H91].
% 32.93/33.13 cut (((op1 (e13) (e13)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H91].
% 32.93/33.13 congruence.
% 32.93/33.13 apply zenon_H91. apply sym_equal. exact zenon_H90.
% 32.93/33.13 apply zenon_H91. apply sym_equal. exact zenon_H90.
% 32.93/33.13 (* end of lemma zenon_L26_ *)
% 32.93/33.13 assert (zenon_L27_ : (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> ((op1 (e10) (e11)) = (e10)) -> ((e11) = (op1 (e13) (e13))) -> False).
% 32.93/33.13 do 0 intro. intros zenon_H92 zenon_H93 zenon_H94 zenon_H90.
% 32.93/33.13 cut (((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) = ((op1 (e10) (e11)) = (op1 (e11) (e11)))).
% 32.93/33.13 intro zenon_D_pnotp.
% 32.93/33.13 apply zenon_H92.
% 32.93/33.13 rewrite <- zenon_D_pnotp.
% 32.93/33.13 exact zenon_H93.
% 32.93/33.13 cut (((op1 (op1 (e13) (e13)) (op1 (e13) (e13))) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H8f].
% 32.93/33.13 cut (((e10) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H95].
% 32.93/33.13 congruence.
% 32.93/33.13 elim (classic ((op1 (e10) (e11)) = (op1 (e10) (e11)))); [ zenon_intro zenon_H96 | zenon_intro zenon_H97 ].
% 32.93/33.13 cut (((op1 (e10) (e11)) = (op1 (e10) (e11))) = ((e10) = (op1 (e10) (e11)))).
% 32.93/33.13 intro zenon_D_pnotp.
% 32.93/33.13 apply zenon_H95.
% 32.93/33.13 rewrite <- zenon_D_pnotp.
% 32.93/33.13 exact zenon_H96.
% 32.93/33.13 cut (((op1 (e10) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H97].
% 32.93/33.13 cut (((op1 (e10) (e11)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H98].
% 32.93/33.13 congruence.
% 32.93/33.13 exact (zenon_H98 zenon_H94).
% 32.93/33.13 apply zenon_H97. apply refl_equal.
% 32.93/33.13 apply zenon_H97. apply refl_equal.
% 32.93/33.13 apply (zenon_L26_); trivial.
% 32.93/33.13 (* end of lemma zenon_L27_ *)
% 32.93/33.13 assert (zenon_L28_ : ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> ((op1 (e12) (e11)) = (e10)) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> False).
% 32.93/33.13 do 0 intro. intros zenon_H93 zenon_H99 zenon_H90 zenon_H9a.
% 32.93/33.13 elim (classic ((op1 (e12) (e11)) = (op1 (e12) (e11)))); [ zenon_intro zenon_H9b | zenon_intro zenon_H9c ].
% 32.93/33.13 cut (((op1 (e12) (e11)) = (op1 (e12) (e11))) = ((op1 (e11) (e11)) = (op1 (e12) (e11)))).
% 32.93/33.13 intro zenon_D_pnotp.
% 32.93/33.13 apply zenon_H9a.
% 32.93/33.13 rewrite <- zenon_D_pnotp.
% 32.93/33.13 exact zenon_H9b.
% 32.93/33.13 cut (((op1 (e12) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H9c].
% 32.93/33.13 cut (((op1 (e12) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H9d].
% 32.93/33.13 congruence.
% 32.93/33.13 cut (((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) = ((op1 (e12) (e11)) = (op1 (e11) (e11)))).
% 32.93/33.13 intro zenon_D_pnotp.
% 32.93/33.13 apply zenon_H9d.
% 32.93/33.13 rewrite <- zenon_D_pnotp.
% 32.93/33.13 exact zenon_H93.
% 32.93/33.13 cut (((op1 (op1 (e13) (e13)) (op1 (e13) (e13))) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H8f].
% 32.93/33.13 cut (((e10) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H9e].
% 32.93/33.13 congruence.
% 32.93/33.13 elim (classic ((op1 (e12) (e11)) = (op1 (e12) (e11)))); [ zenon_intro zenon_H9b | zenon_intro zenon_H9c ].
% 32.93/33.13 cut (((op1 (e12) (e11)) = (op1 (e12) (e11))) = ((e10) = (op1 (e12) (e11)))).
% 32.93/33.13 intro zenon_D_pnotp.
% 32.93/33.13 apply zenon_H9e.
% 32.93/33.13 rewrite <- zenon_D_pnotp.
% 32.93/33.13 exact zenon_H9b.
% 32.93/33.13 cut (((op1 (e12) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H9c].
% 32.93/33.13 cut (((op1 (e12) (e11)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9f].
% 32.93/33.13 congruence.
% 32.93/33.13 exact (zenon_H9f zenon_H99).
% 32.93/33.13 apply zenon_H9c. apply refl_equal.
% 32.93/33.13 apply zenon_H9c. apply refl_equal.
% 32.93/33.13 apply (zenon_L26_); trivial.
% 32.93/33.13 apply zenon_H9c. apply refl_equal.
% 32.93/33.13 apply zenon_H9c. apply refl_equal.
% 32.93/33.13 (* end of lemma zenon_L28_ *)
% 32.93/33.13 assert (zenon_L29_ : ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> ((op1 (e13) (e11)) = (e10)) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> False).
% 32.93/33.13 do 0 intro. intros zenon_H93 zenon_Ha0 zenon_H90 zenon_Ha1.
% 32.93/33.13 elim (classic ((op1 (e13) (e11)) = (op1 (e13) (e11)))); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Ha3 ].
% 32.93/33.13 cut (((op1 (e13) (e11)) = (op1 (e13) (e11))) = ((op1 (e11) (e11)) = (op1 (e13) (e11)))).
% 32.93/33.13 intro zenon_D_pnotp.
% 32.93/33.13 apply zenon_Ha1.
% 32.93/33.13 rewrite <- zenon_D_pnotp.
% 32.93/33.13 exact zenon_Ha2.
% 32.93/33.13 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_Ha3].
% 32.93/33.13 cut (((op1 (e13) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_Ha4].
% 32.93/33.13 congruence.
% 32.93/33.13 cut (((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) = ((op1 (e13) (e11)) = (op1 (e11) (e11)))).
% 32.93/33.13 intro zenon_D_pnotp.
% 32.93/33.13 apply zenon_Ha4.
% 32.93/33.13 rewrite <- zenon_D_pnotp.
% 32.93/33.13 exact zenon_H93.
% 32.93/33.13 cut (((op1 (op1 (e13) (e13)) (op1 (e13) (e13))) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H8f].
% 32.93/33.13 cut (((e10) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_Ha5].
% 32.93/33.13 congruence.
% 32.93/33.13 elim (classic ((op1 (e13) (e11)) = (op1 (e13) (e11)))); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Ha3 ].
% 32.93/33.13 cut (((op1 (e13) (e11)) = (op1 (e13) (e11))) = ((e10) = (op1 (e13) (e11)))).
% 32.93/33.13 intro zenon_D_pnotp.
% 32.93/33.13 apply zenon_Ha5.
% 32.93/33.13 rewrite <- zenon_D_pnotp.
% 32.93/33.13 exact zenon_Ha2.
% 32.93/33.13 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_Ha3].
% 32.93/33.13 cut (((op1 (e13) (e11)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_Ha6].
% 32.93/33.13 congruence.
% 32.93/33.13 exact (zenon_Ha6 zenon_Ha0).
% 32.93/33.13 apply zenon_Ha3. apply refl_equal.
% 32.93/33.13 apply zenon_Ha3. apply refl_equal.
% 32.93/33.13 apply (zenon_L26_); trivial.
% 32.93/33.13 apply zenon_Ha3. apply refl_equal.
% 32.93/33.13 apply zenon_Ha3. apply refl_equal.
% 32.93/33.13 (* end of lemma zenon_L29_ *)
% 32.93/33.13 assert (zenon_L30_ : (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e11)) = (e10))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> False).
% 32.93/33.13 do 0 intro. intros zenon_Ha7 zenon_H92 zenon_Ha8 zenon_H9a zenon_H93 zenon_H90 zenon_Ha1.
% 32.93/33.13 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H94 | zenon_intro zenon_Ha9 ].
% 32.93/33.13 apply (zenon_L27_); trivial.
% 32.93/33.13 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_Hab | zenon_intro zenon_Haa ].
% 32.93/33.13 exact (zenon_Ha8 zenon_Hab).
% 32.93/33.13 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H99 | zenon_intro zenon_Ha0 ].
% 32.93/33.13 apply (zenon_L28_); trivial.
% 32.93/33.13 apply (zenon_L29_); trivial.
% 32.93/33.13 (* end of lemma zenon_L30_ *)
% 32.93/33.13 assert (zenon_L31_ : (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e11) (e10)) = (e11)) -> ((op1 (e11) (e11)) = (e11)) -> False).
% 32.93/33.13 do 0 intro. intros zenon_Hac zenon_Had zenon_Hae.
% 32.93/33.13 cut (((op1 (e11) (e10)) = (e11)) = ((op1 (e11) (e10)) = (op1 (e11) (e11)))).
% 32.93/33.13 intro zenon_D_pnotp.
% 32.93/33.13 apply zenon_Hac.
% 32.93/33.13 rewrite <- zenon_D_pnotp.
% 32.93/33.13 exact zenon_Had.
% 32.93/33.13 cut (((e11) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_Haf].
% 32.93/33.13 cut (((op1 (e11) (e10)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_Hb0].
% 32.93/33.13 congruence.
% 32.93/33.13 apply zenon_Hb0. apply refl_equal.
% 32.93/33.13 apply zenon_Haf. apply sym_equal. exact zenon_Hae.
% 32.93/33.13 (* end of lemma zenon_L31_ *)
% 32.93/33.13 assert (zenon_L32_ : ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> ((op1 (e11) (e11)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> False).
% 32.93/33.14 do 0 intro. intros zenon_Hb1 zenon_Hae zenon_Hac zenon_H92 zenon_H93 zenon_H90 zenon_H9a zenon_Ha1 zenon_Ha7.
% 32.93/33.14 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Had ].
% 32.93/33.14 apply (zenon_L30_); trivial.
% 32.93/33.14 apply (zenon_L31_); trivial.
% 32.93/33.14 (* end of lemma zenon_L32_ *)
% 32.93/33.14 assert (zenon_L33_ : ((e11) = (op1 (e13) (e13))) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e13) (e13)) = (op1 (e11) (e10)))) -> False).
% 32.93/33.14 do 0 intro. intros zenon_H90 zenon_Had zenon_Hb2.
% 32.93/33.14 elim (classic ((op1 (e11) (e10)) = (op1 (e11) (e10)))); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hb0 ].
% 32.93/33.14 cut (((op1 (e11) (e10)) = (op1 (e11) (e10))) = ((op1 (e13) (e13)) = (op1 (e11) (e10)))).
% 32.93/33.14 intro zenon_D_pnotp.
% 32.93/33.14 apply zenon_Hb2.
% 32.93/33.14 rewrite <- zenon_D_pnotp.
% 32.93/33.14 exact zenon_Hb3.
% 32.93/33.14 cut (((op1 (e11) (e10)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_Hb0].
% 32.93/33.14 cut (((op1 (e11) (e10)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hb4].
% 32.93/33.14 congruence.
% 32.93/33.14 cut (((e11) = (op1 (e13) (e13))) = ((op1 (e11) (e10)) = (op1 (e13) (e13)))).
% 32.93/33.14 intro zenon_D_pnotp.
% 32.93/33.14 apply zenon_Hb4.
% 32.93/33.14 rewrite <- zenon_D_pnotp.
% 32.93/33.14 exact zenon_H90.
% 32.93/33.14 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hb5].
% 32.93/33.14 cut (((e11) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_Hb6].
% 32.93/33.14 congruence.
% 32.93/33.14 elim (classic ((op1 (e11) (e10)) = (op1 (e11) (e10)))); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hb0 ].
% 32.93/33.14 cut (((op1 (e11) (e10)) = (op1 (e11) (e10))) = ((e11) = (op1 (e11) (e10)))).
% 32.93/33.14 intro zenon_D_pnotp.
% 32.93/33.14 apply zenon_Hb6.
% 32.93/33.14 rewrite <- zenon_D_pnotp.
% 32.93/33.14 exact zenon_Hb3.
% 32.93/33.14 cut (((op1 (e11) (e10)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_Hb0].
% 32.93/33.14 cut (((op1 (e11) (e10)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_Hb7].
% 32.93/33.14 congruence.
% 32.93/33.14 exact (zenon_Hb7 zenon_Had).
% 32.93/33.14 apply zenon_Hb0. apply refl_equal.
% 32.93/33.14 apply zenon_Hb0. apply refl_equal.
% 32.93/33.14 apply zenon_Hb5. apply refl_equal.
% 32.93/33.14 apply zenon_Hb0. apply refl_equal.
% 32.93/33.14 apply zenon_Hb0. apply refl_equal.
% 32.93/33.14 (* end of lemma zenon_L33_ *)
% 32.93/33.14 assert (zenon_L34_ : ((op1 (e12) (e10)) = (e11)) -> ((e11) = (op1 (e13) (e13))) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> False).
% 32.93/33.14 do 0 intro. intros zenon_Hb8 zenon_H90 zenon_Had zenon_Hb9.
% 32.93/33.14 elim (classic ((op1 (e12) (e10)) = (op1 (e12) (e10)))); [ zenon_intro zenon_Hba | zenon_intro zenon_Hbb ].
% 32.93/33.14 cut (((op1 (e12) (e10)) = (op1 (e12) (e10))) = ((op1 (e11) (e10)) = (op1 (e12) (e10)))).
% 32.93/33.14 intro zenon_D_pnotp.
% 32.93/33.14 apply zenon_Hb9.
% 32.93/33.14 rewrite <- zenon_D_pnotp.
% 32.93/33.14 exact zenon_Hba.
% 32.93/33.14 cut (((op1 (e12) (e10)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_Hbb].
% 32.93/33.14 cut (((op1 (e12) (e10)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_Hbc].
% 32.93/33.14 congruence.
% 32.93/33.14 cut (((e11) = (op1 (e13) (e13))) = ((op1 (e12) (e10)) = (op1 (e11) (e10)))).
% 32.93/33.14 intro zenon_D_pnotp.
% 32.93/33.14 apply zenon_Hbc.
% 32.93/33.14 rewrite <- zenon_D_pnotp.
% 32.93/33.14 exact zenon_H90.
% 32.93/33.14 cut (((op1 (e13) (e13)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_Hb2].
% 32.93/33.14 cut (((e11) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_Hbd].
% 32.93/33.14 congruence.
% 32.93/33.14 elim (classic ((op1 (e12) (e10)) = (op1 (e12) (e10)))); [ zenon_intro zenon_Hba | zenon_intro zenon_Hbb ].
% 32.93/33.14 cut (((op1 (e12) (e10)) = (op1 (e12) (e10))) = ((e11) = (op1 (e12) (e10)))).
% 32.93/33.14 intro zenon_D_pnotp.
% 32.93/33.14 apply zenon_Hbd.
% 32.93/33.14 rewrite <- zenon_D_pnotp.
% 32.93/33.14 exact zenon_Hba.
% 32.93/33.14 cut (((op1 (e12) (e10)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_Hbb].
% 32.93/33.14 cut (((op1 (e12) (e10)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_Hbe].
% 32.93/33.14 congruence.
% 32.93/33.14 exact (zenon_Hbe zenon_Hb8).
% 32.93/33.14 apply zenon_Hbb. apply refl_equal.
% 32.93/33.14 apply zenon_Hbb. apply refl_equal.
% 32.93/33.14 apply (zenon_L33_); trivial.
% 32.93/33.14 apply zenon_Hbb. apply refl_equal.
% 32.93/33.14 apply zenon_Hbb. apply refl_equal.
% 32.93/33.14 (* end of lemma zenon_L34_ *)
% 32.93/33.14 assert (zenon_L35_ : (~((op1 (e13) (e13)) = (op1 (e12) (e11)))) -> ((op1 (e11) (e10)) = (e11)) -> ((e11) = (op1 (e13) (e13))) -> ((op1 (e12) (e11)) = (e11)) -> False).
% 32.93/33.14 do 0 intro. intros zenon_Hbf zenon_Had zenon_H90 zenon_Hc0.
% 32.93/33.14 cut (((op1 (e11) (e10)) = (e11)) = ((op1 (e13) (e13)) = (op1 (e12) (e11)))).
% 32.93/33.14 intro zenon_D_pnotp.
% 32.93/33.14 apply zenon_Hbf.
% 32.93/33.14 rewrite <- zenon_D_pnotp.
% 32.93/33.14 exact zenon_Had.
% 32.93/33.14 cut (((e11) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_Hc1].
% 32.93/33.14 cut (((op1 (e11) (e10)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hb4].
% 32.93/33.14 congruence.
% 32.93/33.14 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_Hc2 | zenon_intro zenon_Hb5 ].
% 32.93/33.14 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((op1 (e11) (e10)) = (op1 (e13) (e13)))).
% 32.93/33.14 intro zenon_D_pnotp.
% 32.93/33.14 apply zenon_Hb4.
% 32.93/33.14 rewrite <- zenon_D_pnotp.
% 32.93/33.14 exact zenon_Hc2.
% 32.93/33.14 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hb5].
% 32.93/33.14 cut (((op1 (e13) (e13)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_Hb2].
% 32.93/33.14 congruence.
% 32.93/33.14 apply (zenon_L33_); trivial.
% 32.93/33.14 apply zenon_Hb5. apply refl_equal.
% 32.93/33.14 apply zenon_Hb5. apply refl_equal.
% 32.93/33.14 apply zenon_Hc1. apply sym_equal. exact zenon_Hc0.
% 32.93/33.14 (* end of lemma zenon_L35_ *)
% 32.93/33.14 assert (zenon_L36_ : (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e10) (e11)) = (e11)) -> ((op1 (e12) (e11)) = (e11)) -> ((op1 (e11) (e10)) = (e11)) -> ((e11) = (op1 (e13) (e13))) -> False).
% 32.93/33.14 do 0 intro. intros zenon_Hc3 zenon_Hc4 zenon_Hc0 zenon_Had zenon_H90.
% 32.93/33.14 cut (((e11) = (op1 (e13) (e13))) = ((op1 (e10) (e11)) = (op1 (e12) (e11)))).
% 32.93/33.14 intro zenon_D_pnotp.
% 32.93/33.14 apply zenon_Hc3.
% 32.93/33.14 rewrite <- zenon_D_pnotp.
% 32.93/33.14 exact zenon_H90.
% 32.93/33.14 cut (((op1 (e13) (e13)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_Hbf].
% 32.93/33.14 cut (((e11) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_Hc5].
% 32.93/33.14 congruence.
% 32.93/33.14 elim (classic ((op1 (e10) (e11)) = (op1 (e10) (e11)))); [ zenon_intro zenon_H96 | zenon_intro zenon_H97 ].
% 32.93/33.14 cut (((op1 (e10) (e11)) = (op1 (e10) (e11))) = ((e11) = (op1 (e10) (e11)))).
% 32.93/33.14 intro zenon_D_pnotp.
% 32.93/33.14 apply zenon_Hc5.
% 32.93/33.14 rewrite <- zenon_D_pnotp.
% 32.93/33.14 exact zenon_H96.
% 32.93/33.14 cut (((op1 (e10) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H97].
% 32.93/33.14 cut (((op1 (e10) (e11)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_Hc6].
% 32.93/33.14 congruence.
% 32.93/33.14 exact (zenon_Hc6 zenon_Hc4).
% 32.93/33.14 apply zenon_H97. apply refl_equal.
% 32.93/33.14 apply zenon_H97. apply refl_equal.
% 32.93/33.14 apply (zenon_L35_); trivial.
% 32.93/33.14 (* end of lemma zenon_L36_ *)
% 32.93/33.14 assert (zenon_L37_ : (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> ((op1 (e12) (e13)) = (e11)) -> False).
% 32.93/33.14 do 0 intro. intros zenon_Hc7 zenon_H90 zenon_Hc8.
% 32.93/33.14 cut (((e11) = (op1 (e13) (e13))) = ((op1 (e12) (e13)) = (op1 (e13) (e13)))).
% 32.93/33.14 intro zenon_D_pnotp.
% 32.93/33.14 apply zenon_Hc7.
% 32.93/33.14 rewrite <- zenon_D_pnotp.
% 32.93/33.14 exact zenon_H90.
% 32.93/33.14 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hb5].
% 32.93/33.14 cut (((e11) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hc9].
% 32.93/33.14 congruence.
% 32.93/33.14 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_Hca | zenon_intro zenon_Hcb ].
% 32.93/33.14 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((e11) = (op1 (e12) (e13)))).
% 32.93/33.14 intro zenon_D_pnotp.
% 32.93/33.14 apply zenon_Hc9.
% 32.93/33.14 rewrite <- zenon_D_pnotp.
% 32.93/33.14 exact zenon_Hca.
% 32.93/33.14 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hcb].
% 32.93/33.14 cut (((op1 (e12) (e13)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_Hcc].
% 32.93/33.14 congruence.
% 32.93/33.14 exact (zenon_Hcc zenon_Hc8).
% 32.93/33.14 apply zenon_Hcb. apply refl_equal.
% 32.93/33.14 apply zenon_Hcb. apply refl_equal.
% 32.93/33.14 apply zenon_Hb5. apply refl_equal.
% 32.93/33.14 (* end of lemma zenon_L37_ *)
% 32.93/33.14 assert (zenon_L38_ : (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (e10)) = (e11)) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 32.93/33.14 do 0 intro. intros zenon_Hcd zenon_Hb9 zenon_Had zenon_Hc4 zenon_Hc3 zenon_Hce zenon_Hc7 zenon_H90.
% 32.93/33.14 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcf ].
% 32.93/33.14 apply (zenon_L34_); trivial.
% 32.93/33.14 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hd0 ].
% 32.93/33.14 apply (zenon_L36_); trivial.
% 32.93/33.14 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hd1 | zenon_intro zenon_Hc8 ].
% 32.93/33.14 exact (zenon_Hce zenon_Hd1).
% 32.93/33.14 apply (zenon_L37_); trivial.
% 32.93/33.14 (* end of lemma zenon_L38_ *)
% 32.93/33.14 assert (zenon_L39_ : (~((e12) = (e12))) -> False).
% 32.93/33.14 do 0 intro. intros zenon_Hd2.
% 32.93/33.14 apply zenon_Hd2. apply refl_equal.
% 32.93/33.14 (* end of lemma zenon_L39_ *)
% 32.93/33.14 assert (zenon_L40_ : (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> ((op1 (e13) (e11)) = (e11)) -> False).
% 32.93/33.14 do 0 intro. intros zenon_Hd3 zenon_H90 zenon_Hd4.
% 32.93/33.14 cut (((e11) = (op1 (e13) (e13))) = ((op1 (e13) (e11)) = (op1 (e13) (e13)))).
% 32.93/33.14 intro zenon_D_pnotp.
% 32.93/33.14 apply zenon_Hd3.
% 32.93/33.14 rewrite <- zenon_D_pnotp.
% 32.93/33.14 exact zenon_H90.
% 32.93/33.14 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hb5].
% 32.93/33.14 cut (((e11) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_Hd5].
% 32.93/33.14 congruence.
% 32.93/33.14 elim (classic ((op1 (e13) (e11)) = (op1 (e13) (e11)))); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Ha3 ].
% 32.93/33.14 cut (((op1 (e13) (e11)) = (op1 (e13) (e11))) = ((e11) = (op1 (e13) (e11)))).
% 32.93/33.14 intro zenon_D_pnotp.
% 32.93/33.14 apply zenon_Hd5.
% 32.93/33.14 rewrite <- zenon_D_pnotp.
% 32.93/33.14 exact zenon_Ha2.
% 32.93/33.14 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_Ha3].
% 32.93/33.14 cut (((op1 (e13) (e11)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_Hd6].
% 32.93/33.14 congruence.
% 32.93/33.14 exact (zenon_Hd6 zenon_Hd4).
% 32.93/33.14 apply zenon_Ha3. apply refl_equal.
% 32.93/33.14 apply zenon_Ha3. apply refl_equal.
% 32.93/33.14 apply zenon_Hb5. apply refl_equal.
% 32.93/33.14 (* end of lemma zenon_L40_ *)
% 32.93/33.14 assert (zenon_L41_ : (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> ((op1 (e10) (e13)) = (e11)) -> False).
% 32.93/33.14 do 0 intro. intros zenon_Hd7 zenon_H90 zenon_Hd8.
% 32.93/33.14 cut (((e11) = (op1 (e13) (e13))) = ((op1 (e10) (e13)) = (op1 (e13) (e13)))).
% 32.93/33.14 intro zenon_D_pnotp.
% 32.93/33.14 apply zenon_Hd7.
% 32.93/33.14 rewrite <- zenon_D_pnotp.
% 32.93/33.14 exact zenon_H90.
% 32.93/33.14 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hb5].
% 32.93/33.14 cut (((e11) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hd9].
% 32.93/33.14 congruence.
% 32.93/33.14 elim (classic ((op1 (e10) (e13)) = (op1 (e10) (e13)))); [ zenon_intro zenon_Hda | zenon_intro zenon_Hdb ].
% 32.93/33.14 cut (((op1 (e10) (e13)) = (op1 (e10) (e13))) = ((e11) = (op1 (e10) (e13)))).
% 32.93/33.14 intro zenon_D_pnotp.
% 32.93/33.14 apply zenon_Hd9.
% 32.93/33.14 rewrite <- zenon_D_pnotp.
% 32.93/33.14 exact zenon_Hda.
% 32.93/33.14 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hdb].
% 32.93/33.14 cut (((op1 (e10) (e13)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_Hdc].
% 32.93/33.14 congruence.
% 32.93/33.14 exact (zenon_Hdc zenon_Hd8).
% 32.93/33.14 apply zenon_Hdb. apply refl_equal.
% 32.93/33.14 apply zenon_Hdb. apply refl_equal.
% 32.93/33.14 apply zenon_Hb5. apply refl_equal.
% 32.93/33.14 (* end of lemma zenon_L41_ *)
% 32.93/33.14 assert (zenon_L42_ : ((op1 (e12) (e12)) = (e12)) -> ((op1 (e12) (e11)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> False).
% 32.93/33.14 do 0 intro. intros zenon_Hdd zenon_Hde zenon_Hdf.
% 32.93/33.14 elim (classic ((op1 (e12) (e12)) = (op1 (e12) (e12)))); [ zenon_intro zenon_He0 | zenon_intro zenon_He1 ].
% 32.93/33.14 cut (((op1 (e12) (e12)) = (op1 (e12) (e12))) = ((op1 (e12) (e11)) = (op1 (e12) (e12)))).
% 32.93/33.14 intro zenon_D_pnotp.
% 32.93/33.14 apply zenon_Hdf.
% 32.93/33.14 rewrite <- zenon_D_pnotp.
% 32.93/33.14 exact zenon_He0.
% 32.93/33.14 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_He1].
% 32.93/33.14 cut (((op1 (e12) (e12)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_He2].
% 32.93/33.14 congruence.
% 32.93/33.14 cut (((op1 (e12) (e12)) = (e12)) = ((op1 (e12) (e12)) = (op1 (e12) (e11)))).
% 32.93/33.14 intro zenon_D_pnotp.
% 32.93/33.14 apply zenon_He2.
% 32.93/33.14 rewrite <- zenon_D_pnotp.
% 32.93/33.14 exact zenon_Hdd.
% 32.93/33.14 cut (((e12) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_He3].
% 32.93/33.14 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_He1].
% 32.93/33.14 congruence.
% 32.93/33.14 apply zenon_He1. apply refl_equal.
% 32.93/33.14 apply zenon_He3. apply sym_equal. exact zenon_Hde.
% 32.93/33.14 apply zenon_He1. apply refl_equal.
% 32.93/33.14 apply zenon_He1. apply refl_equal.
% 32.93/33.14 (* end of lemma zenon_L42_ *)
% 32.93/33.14 assert (zenon_L43_ : ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (op1 (e10) (e12))) = (op1 (e10) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e12)) = (e12)) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> False).
% 32.93/33.14 do 0 intro. intros zenon_He4 zenon_Ha7 zenon_Ha1 zenon_H9a zenon_H90 zenon_H93 zenon_H92 zenon_He5 zenon_Hac zenon_He6 zenon_Hd7 zenon_He7 zenon_Hd3 zenon_He8 zenon_Hb9 zenon_Hc3 zenon_Hc7 zenon_Hcd zenon_Hdf zenon_Hdd zenon_He9 zenon_Hb1.
% 32.93/33.14 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_Hea | zenon_intro zenon_H94 ].
% 32.93/33.14 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Had ].
% 32.93/33.14 apply (zenon_L30_); trivial.
% 32.93/33.14 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Heb | zenon_intro zenon_Hae ].
% 32.93/33.14 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hce | zenon_intro zenon_Hde ].
% 32.93/33.14 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hed | zenon_intro zenon_Hec ].
% 32.93/33.14 exact (zenon_Hea zenon_Hed).
% 32.93/33.14 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hee ].
% 32.93/33.14 apply (zenon_L38_); trivial.
% 32.93/33.14 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_Hef | zenon_intro zenon_Hd8 ].
% 32.93/33.14 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hf0 ].
% 32.93/33.14 apply (zenon_L38_); trivial.
% 32.93/33.14 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_Hae | zenon_intro zenon_Hf1 ].
% 32.93/33.14 exact (zenon_Heb zenon_Hae).
% 32.93/33.14 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hd4 ].
% 32.93/33.14 cut (((op1 (e12) (e11)) = (e11)) = ((op1 (e12) (op1 (e10) (e12))) = (op1 (e10) (e12)))).
% 32.93/33.14 intro zenon_D_pnotp.
% 32.93/33.14 apply zenon_He7.
% 32.93/33.14 rewrite <- zenon_D_pnotp.
% 32.93/33.14 exact zenon_Hc0.
% 32.93/33.14 cut (((e11) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_Hf2].
% 32.93/33.14 cut (((op1 (e12) (e11)) = (op1 (e12) (op1 (e10) (e12))))); [idtac | apply NNPP; zenon_intro zenon_Hf3].
% 32.93/33.14 congruence.
% 32.93/33.14 elim (classic ((op1 (e12) (op1 (e10) (e12))) = (op1 (e12) (op1 (e10) (e12))))); [ zenon_intro zenon_Hf4 | zenon_intro zenon_Hf5 ].
% 32.93/33.14 cut (((op1 (e12) (op1 (e10) (e12))) = (op1 (e12) (op1 (e10) (e12)))) = ((op1 (e12) (e11)) = (op1 (e12) (op1 (e10) (e12))))).
% 32.93/33.14 intro zenon_D_pnotp.
% 32.93/33.14 apply zenon_Hf3.
% 32.93/33.14 rewrite <- zenon_D_pnotp.
% 32.93/33.14 exact zenon_Hf4.
% 32.93/33.14 cut (((op1 (e12) (op1 (e10) (e12))) = (op1 (e12) (op1 (e10) (e12))))); [idtac | apply NNPP; zenon_intro zenon_Hf5].
% 32.93/33.14 cut (((op1 (e12) (op1 (e10) (e12))) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_Hf6].
% 32.93/33.14 congruence.
% 32.93/33.14 cut (((op1 (e10) (e12)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_Hf7].
% 32.93/33.14 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Hd2].
% 32.93/33.14 congruence.
% 32.93/33.14 apply zenon_Hd2. apply refl_equal.
% 32.93/33.14 exact (zenon_Hf7 zenon_Hef).
% 32.93/33.14 apply zenon_Hf5. apply refl_equal.
% 32.93/33.14 apply zenon_Hf5. apply refl_equal.
% 32.93/33.14 apply zenon_Hf2. apply sym_equal. exact zenon_Hef.
% 32.93/33.14 apply (zenon_L40_); trivial.
% 32.93/33.14 apply (zenon_L41_); trivial.
% 32.93/33.14 apply (zenon_L42_); trivial.
% 32.93/33.14 apply (zenon_L31_); trivial.
% 32.93/33.14 apply (zenon_L27_); trivial.
% 32.93/33.14 (* end of lemma zenon_L43_ *)
% 32.93/33.14 assert (zenon_L44_ : (~((e11) = (e11))) -> False).
% 32.93/33.14 do 0 intro. intros zenon_Hf8.
% 32.93/33.14 apply zenon_Hf8. apply refl_equal.
% 32.93/33.14 (* end of lemma zenon_L44_ *)
% 32.93/33.14 assert (zenon_L45_ : (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> ((op1 (e13) (e13)) = (e13)) -> False).
% 32.93/33.14 do 0 intro. intros zenon_Hf9 zenon_H90 zenon_Hfa.
% 32.93/33.14 cut (((e11) = (op1 (e13) (e13))) = ((e11) = (e13))).
% 32.93/33.14 intro zenon_D_pnotp.
% 32.93/33.14 apply zenon_Hf9.
% 32.93/33.14 rewrite <- zenon_D_pnotp.
% 32.93/33.14 exact zenon_H90.
% 32.93/33.14 cut (((op1 (e13) (e13)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_Hfb].
% 32.93/33.14 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_Hf8].
% 32.93/33.14 congruence.
% 32.93/33.14 apply zenon_Hf8. apply refl_equal.
% 32.93/33.14 exact (zenon_Hfb zenon_Hfa).
% 32.93/33.14 (* end of lemma zenon_L45_ *)
% 32.93/33.14 assert (zenon_L46_ : ((~((op1 (e10) (op1 (e10) (e10))) = (op1 (e10) (e10))))/\((~((op1 (e11) (op1 (e10) (e11))) = (op1 (e10) (e11))))/\((~((op1 (e12) (op1 (e10) (e12))) = (op1 (e10) (e12))))/\(~((op1 (e13) (op1 (e10) (e13))) = (op1 (e10) (e13))))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 32.93/33.14 do 0 intro. intros zenon_Hfc zenon_Hfd zenon_Hb1 zenon_He9 zenon_Hdf zenon_Hcd zenon_Hc7 zenon_Hc3 zenon_Hb9 zenon_He8 zenon_Hd3 zenon_Hd7 zenon_He6 zenon_Hac zenon_He5 zenon_H92 zenon_H93 zenon_H9a zenon_Ha1 zenon_Ha7 zenon_He4 zenon_Hf9 zenon_H90.
% 32.93/33.14 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hff. zenon_intro zenon_Hfe.
% 32.93/33.14 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H101. zenon_intro zenon_H100.
% 32.93/33.14 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_He7. zenon_intro zenon_H102.
% 32.93/33.14 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H104 | zenon_intro zenon_H103 ].
% 32.93/33.14 cut (((op1 (e10) (e10)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H105].
% 32.93/33.14 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H8e].
% 32.93/33.14 congruence.
% 32.93/33.14 apply zenon_H8e. apply refl_equal.
% 32.93/33.14 exact (zenon_H105 zenon_H104).
% 32.93/33.14 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Hae | zenon_intro zenon_H106 ].
% 32.93/33.14 apply (zenon_L32_); trivial.
% 32.93/33.14 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hdd | zenon_intro zenon_Hfa ].
% 32.93/33.14 apply (zenon_L43_); trivial.
% 32.93/33.14 apply (zenon_L45_); trivial.
% 32.93/33.14 (* end of lemma zenon_L46_ *)
% 32.93/33.14 assert (zenon_L47_ : (~((h4 (e10)) = (e20))) -> ((h4 (e10)) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> False).
% 32.93/33.14 do 0 intro. intros zenon_H107 zenon_H108 zenon_H1a.
% 32.93/33.14 cut (((h4 (e10)) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) = ((h4 (e10)) = (e20))).
% 32.93/33.14 intro zenon_D_pnotp.
% 32.93/33.14 apply zenon_H107.
% 32.93/33.14 rewrite <- zenon_D_pnotp.
% 32.93/33.14 exact zenon_H108.
% 32.93/33.14 cut (((op2 (op2 (e23) (e23)) (op2 (e23) (e23))) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H109].
% 32.93/33.14 cut (((h4 (e10)) = (h4 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H10a].
% 32.93/33.14 congruence.
% 32.93/33.14 apply zenon_H10a. apply refl_equal.
% 32.93/33.14 apply zenon_H109. apply sym_equal. exact zenon_H1a.
% 32.93/33.14 (* end of lemma zenon_L47_ *)
% 32.93/33.14 assert (zenon_L48_ : (~((h4 (op1 (e10) (e10))) = (op2 (h4 (e10)) (h4 (e10))))) -> ((op1 (e10) (e10)) = (e10)) -> ((op2 (e20) (e20)) = (e20)) -> ((h4 (e10)) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> False).
% 32.93/33.14 do 0 intro. intros zenon_H10b zenon_H104 zenon_H14 zenon_H108 zenon_H1a.
% 32.93/33.14 cut (((h4 (e10)) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) = ((h4 (op1 (e10) (e10))) = (op2 (h4 (e10)) (h4 (e10))))).
% 32.93/33.14 intro zenon_D_pnotp.
% 32.93/33.14 apply zenon_H10b.
% 32.93/33.14 rewrite <- zenon_D_pnotp.
% 32.93/33.14 exact zenon_H108.
% 32.93/33.14 cut (((op2 (op2 (e23) (e23)) (op2 (e23) (e23))) = (op2 (h4 (e10)) (h4 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H10c].
% 32.93/33.14 cut (((h4 (e10)) = (h4 (op1 (e10) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H10d].
% 32.93/33.14 congruence.
% 32.93/33.14 elim (classic ((h4 (op1 (e10) (e10))) = (h4 (op1 (e10) (e10))))); [ zenon_intro zenon_H10e | zenon_intro zenon_H10f ].
% 32.93/33.14 cut (((h4 (op1 (e10) (e10))) = (h4 (op1 (e10) (e10)))) = ((h4 (e10)) = (h4 (op1 (e10) (e10))))).
% 32.93/33.14 intro zenon_D_pnotp.
% 32.93/33.14 apply zenon_H10d.
% 32.93/33.14 rewrite <- zenon_D_pnotp.
% 32.93/33.14 exact zenon_H10e.
% 32.93/33.14 cut (((h4 (op1 (e10) (e10))) = (h4 (op1 (e10) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H10f].
% 32.93/33.14 cut (((h4 (op1 (e10) (e10))) = (h4 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H110].
% 32.93/33.14 congruence.
% 32.93/33.14 cut (((op1 (e10) (e10)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H105].
% 32.93/33.14 congruence.
% 32.93/33.14 exact (zenon_H105 zenon_H104).
% 32.93/33.14 apply zenon_H10f. apply refl_equal.
% 32.93/33.14 apply zenon_H10f. apply refl_equal.
% 32.93/33.14 elim (classic ((op2 (h4 (e10)) (h4 (e10))) = (op2 (h4 (e10)) (h4 (e10))))); [ zenon_intro zenon_H111 | zenon_intro zenon_H112 ].
% 32.93/33.14 cut (((op2 (h4 (e10)) (h4 (e10))) = (op2 (h4 (e10)) (h4 (e10)))) = ((op2 (op2 (e23) (e23)) (op2 (e23) (e23))) = (op2 (h4 (e10)) (h4 (e10))))).
% 32.93/33.14 intro zenon_D_pnotp.
% 32.93/33.14 apply zenon_H10c.
% 32.93/33.14 rewrite <- zenon_D_pnotp.
% 32.93/33.14 exact zenon_H111.
% 32.93/33.14 cut (((op2 (h4 (e10)) (h4 (e10))) = (op2 (h4 (e10)) (h4 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H112].
% 32.93/33.14 cut (((op2 (h4 (e10)) (h4 (e10))) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H113].
% 32.93/33.14 congruence.
% 32.93/33.14 cut (((op2 (e20) (e20)) = (e20)) = ((op2 (h4 (e10)) (h4 (e10))) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))).
% 32.93/33.14 intro zenon_D_pnotp.
% 32.93/33.14 apply zenon_H113.
% 32.93/33.14 rewrite <- zenon_D_pnotp.
% 32.93/33.14 exact zenon_H14.
% 32.93/33.14 cut (((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H114].
% 32.93/33.14 cut (((op2 (e20) (e20)) = (op2 (h4 (e10)) (h4 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H115].
% 32.93/33.14 congruence.
% 32.93/33.14 elim (classic ((op2 (h4 (e10)) (h4 (e10))) = (op2 (h4 (e10)) (h4 (e10))))); [ zenon_intro zenon_H111 | zenon_intro zenon_H112 ].
% 32.93/33.14 cut (((op2 (h4 (e10)) (h4 (e10))) = (op2 (h4 (e10)) (h4 (e10)))) = ((op2 (e20) (e20)) = (op2 (h4 (e10)) (h4 (e10))))).
% 32.93/33.14 intro zenon_D_pnotp.
% 32.93/33.14 apply zenon_H115.
% 32.93/33.14 rewrite <- zenon_D_pnotp.
% 32.93/33.14 exact zenon_H111.
% 32.93/33.14 cut (((op2 (h4 (e10)) (h4 (e10))) = (op2 (h4 (e10)) (h4 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H112].
% 32.93/33.14 cut (((op2 (h4 (e10)) (h4 (e10))) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H116].
% 32.93/33.14 congruence.
% 32.93/33.14 cut (((h4 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H107].
% 32.93/33.14 cut (((h4 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H107].
% 32.93/33.14 congruence.
% 32.93/33.14 apply (zenon_L47_); trivial.
% 32.93/33.14 apply (zenon_L47_); trivial.
% 32.93/33.14 apply zenon_H112. apply refl_equal.
% 32.93/33.14 apply zenon_H112. apply refl_equal.
% 32.93/33.14 exact (zenon_H114 zenon_H1a).
% 32.93/33.14 apply zenon_H112. apply refl_equal.
% 32.93/33.14 apply zenon_H112. apply refl_equal.
% 32.93/33.14 (* end of lemma zenon_L48_ *)
% 32.93/33.14 assert (zenon_L49_ : (~((op1 (op1 (e13) (e13)) (op1 (e13) (e13))) = (op1 (e13) (e12)))) -> ((op1 (e11) (e11)) = (e10)) -> ((e11) = (op1 (e13) (e13))) -> ((op1 (e13) (e12)) = (e10)) -> False).
% 32.93/33.14 do 0 intro. intros zenon_H117 zenon_Hab zenon_H90 zenon_H118.
% 32.93/33.14 cut (((op1 (e11) (e11)) = (e10)) = ((op1 (op1 (e13) (e13)) (op1 (e13) (e13))) = (op1 (e13) (e12)))).
% 32.93/33.14 intro zenon_D_pnotp.
% 32.93/33.14 apply zenon_H117.
% 32.93/33.14 rewrite <- zenon_D_pnotp.
% 32.93/33.14 exact zenon_Hab.
% 32.93/33.14 cut (((e10) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H119].
% 32.93/33.14 cut (((op1 (e11) (e11)) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H11a].
% 32.93/33.14 congruence.
% 32.93/33.14 elim (classic ((op1 (op1 (e13) (e13)) (op1 (e13) (e13))) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))); [ zenon_intro zenon_H11b | zenon_intro zenon_H11c ].
% 32.93/33.14 cut (((op1 (op1 (e13) (e13)) (op1 (e13) (e13))) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) = ((op1 (e11) (e11)) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))).
% 32.93/33.14 intro zenon_D_pnotp.
% 32.93/33.14 apply zenon_H11a.
% 32.93/33.14 rewrite <- zenon_D_pnotp.
% 32.93/33.14 exact zenon_H11b.
% 32.93/33.14 cut (((op1 (op1 (e13) (e13)) (op1 (e13) (e13))) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H11c].
% 32.93/33.14 cut (((op1 (op1 (e13) (e13)) (op1 (e13) (e13))) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H8f].
% 32.93/33.14 congruence.
% 32.93/33.14 apply (zenon_L26_); trivial.
% 32.93/33.14 apply zenon_H11c. apply refl_equal.
% 32.93/33.14 apply zenon_H11c. apply refl_equal.
% 32.93/33.14 apply zenon_H119. apply sym_equal. exact zenon_H118.
% 32.93/33.14 (* end of lemma zenon_L49_ *)
% 32.93/33.14 assert (zenon_L50_ : (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> ((op1 (e13) (e12)) = (e11)) -> False).
% 32.93/33.14 do 0 intro. intros zenon_H11d zenon_H90 zenon_H11e.
% 32.93/33.14 cut (((e11) = (op1 (e13) (e13))) = ((op1 (e13) (e12)) = (op1 (e13) (e13)))).
% 32.93/33.14 intro zenon_D_pnotp.
% 32.93/33.14 apply zenon_H11d.
% 32.93/33.14 rewrite <- zenon_D_pnotp.
% 32.93/33.14 exact zenon_H90.
% 32.93/33.14 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hb5].
% 32.93/33.14 cut (((e11) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H11f].
% 32.93/33.14 congruence.
% 32.93/33.14 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H120 | zenon_intro zenon_H121 ].
% 32.93/33.14 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((e11) = (op1 (e13) (e12)))).
% 32.93/33.14 intro zenon_D_pnotp.
% 32.93/33.14 apply zenon_H11f.
% 32.93/33.14 rewrite <- zenon_D_pnotp.
% 32.93/33.14 exact zenon_H120.
% 32.93/33.14 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H121].
% 32.93/33.14 cut (((op1 (e13) (e12)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H122].
% 32.93/33.14 congruence.
% 32.93/33.14 exact (zenon_H122 zenon_H11e).
% 32.93/33.14 apply zenon_H121. apply refl_equal.
% 32.93/33.14 apply zenon_H121. apply refl_equal.
% 32.93/33.14 apply zenon_Hb5. apply refl_equal.
% 32.93/33.14 (* end of lemma zenon_L50_ *)
% 32.93/33.14 assert (zenon_L51_ : (~((e13) = (e13))) -> False).
% 32.93/33.14 do 0 intro. intros zenon_H123.
% 32.93/33.14 apply zenon_H123. apply refl_equal.
% 32.93/33.14 (* end of lemma zenon_L51_ *)
% 32.93/33.14 assert (zenon_L52_ : (~((op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) = (op1 (e13) (e10)))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> False).
% 32.93/33.14 do 0 intro. intros zenon_H124 zenon_H93.
% 32.93/33.14 cut (((op1 (op1 (e13) (e13)) (op1 (e13) (e13))) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H125].
% 32.93/33.14 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H123].
% 32.93/33.14 congruence.
% 32.93/33.14 apply zenon_H123. apply refl_equal.
% 32.93/33.14 apply zenon_H125. apply sym_equal. exact zenon_H93.
% 32.93/33.14 (* end of lemma zenon_L52_ *)
% 32.93/33.14 assert (zenon_L53_ : ((e12) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) -> ((op1 (e13) (e12)) = (e12)) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> False).
% 32.93/33.14 do 0 intro. intros zenon_H126 zenon_H127 zenon_H93 zenon_H128.
% 32.93/33.14 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H120 | zenon_intro zenon_H121 ].
% 32.93/33.14 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((op1 (e13) (e10)) = (op1 (e13) (e12)))).
% 32.93/33.14 intro zenon_D_pnotp.
% 32.93/33.14 apply zenon_H128.
% 32.93/33.14 rewrite <- zenon_D_pnotp.
% 32.93/33.14 exact zenon_H120.
% 32.93/33.14 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H121].
% 32.93/33.14 cut (((op1 (e13) (e12)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H129].
% 32.93/33.14 congruence.
% 32.93/33.14 cut (((e12) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) = ((op1 (e13) (e12)) = (op1 (e13) (e10)))).
% 32.93/33.14 intro zenon_D_pnotp.
% 32.93/33.14 apply zenon_H129.
% 32.93/33.14 rewrite <- zenon_D_pnotp.
% 32.93/33.14 exact zenon_H126.
% 32.93/33.14 cut (((op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H124].
% 32.93/33.14 cut (((e12) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H12a].
% 32.93/33.14 congruence.
% 32.93/33.14 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H120 | zenon_intro zenon_H121 ].
% 32.93/33.14 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((e12) = (op1 (e13) (e12)))).
% 32.93/33.14 intro zenon_D_pnotp.
% 32.93/33.14 apply zenon_H12a.
% 32.93/33.14 rewrite <- zenon_D_pnotp.
% 32.93/33.14 exact zenon_H120.
% 32.93/33.14 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H121].
% 32.93/33.14 cut (((op1 (e13) (e12)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H12b].
% 32.93/33.14 congruence.
% 32.93/33.14 exact (zenon_H12b zenon_H127).
% 32.93/33.14 apply zenon_H121. apply refl_equal.
% 32.93/33.14 apply zenon_H121. apply refl_equal.
% 32.93/33.14 apply (zenon_L52_); trivial.
% 32.93/33.14 apply zenon_H121. apply refl_equal.
% 32.93/33.14 apply zenon_H121. apply refl_equal.
% 32.93/33.14 (* end of lemma zenon_L53_ *)
% 32.93/33.14 assert (zenon_L54_ : (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e11)) = (e13)) -> ((op1 (e13) (e12)) = (e13)) -> False).
% 32.93/33.14 do 0 intro. intros zenon_H12c zenon_H12d zenon_H12e.
% 32.93/33.14 cut (((op1 (e13) (e11)) = (e13)) = ((op1 (e13) (e11)) = (op1 (e13) (e12)))).
% 32.93/33.14 intro zenon_D_pnotp.
% 32.93/33.14 apply zenon_H12c.
% 32.93/33.14 rewrite <- zenon_D_pnotp.
% 32.93/33.14 exact zenon_H12d.
% 32.93/33.14 cut (((e13) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H12f].
% 32.93/33.14 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_Ha3].
% 32.93/33.14 congruence.
% 32.93/33.14 apply zenon_Ha3. apply refl_equal.
% 32.93/33.14 apply zenon_H12f. apply sym_equal. exact zenon_H12e.
% 32.93/33.14 (* end of lemma zenon_L54_ *)
% 32.93/33.14 assert (zenon_L55_ : (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e11) (e11)) = (e10)) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> ((e12) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e11)) = (e13)) -> False).
% 32.93/33.14 do 0 intro. intros zenon_H130 zenon_Hab zenon_H131 zenon_H132 zenon_H90 zenon_H11d zenon_H128 zenon_H93 zenon_H126 zenon_H12c zenon_H12d.
% 32.93/33.14 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H118 | zenon_intro zenon_H133 ].
% 32.93/33.14 cut (((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) = ((op1 (e10) (e12)) = (op1 (e13) (e12)))).
% 32.93/33.14 intro zenon_D_pnotp.
% 32.93/33.14 apply zenon_H132.
% 32.93/33.14 rewrite <- zenon_D_pnotp.
% 32.93/33.14 exact zenon_H93.
% 32.93/33.14 cut (((op1 (op1 (e13) (e13)) (op1 (e13) (e13))) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H117].
% 32.93/33.14 cut (((e10) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H134].
% 32.93/33.14 congruence.
% 32.93/33.14 elim (classic ((op1 (e10) (e12)) = (op1 (e10) (e12)))); [ zenon_intro zenon_H135 | zenon_intro zenon_H136 ].
% 32.93/33.14 cut (((op1 (e10) (e12)) = (op1 (e10) (e12))) = ((e10) = (op1 (e10) (e12)))).
% 32.93/33.14 intro zenon_D_pnotp.
% 32.93/33.14 apply zenon_H134.
% 32.93/33.14 rewrite <- zenon_D_pnotp.
% 32.93/33.14 exact zenon_H135.
% 32.93/33.14 cut (((op1 (e10) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H136].
% 32.93/33.14 cut (((op1 (e10) (e12)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H137].
% 32.93/33.14 congruence.
% 32.93/33.14 exact (zenon_H137 zenon_H131).
% 32.93/33.14 apply zenon_H136. apply refl_equal.
% 32.93/33.14 apply zenon_H136. apply refl_equal.
% 32.93/33.14 apply (zenon_L49_); trivial.
% 32.93/33.14 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H11e | zenon_intro zenon_H138 ].
% 32.93/33.14 apply (zenon_L50_); trivial.
% 32.93/33.14 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H127 | zenon_intro zenon_H12e ].
% 32.93/33.14 apply (zenon_L53_); trivial.
% 32.93/33.14 apply (zenon_L54_); trivial.
% 32.93/33.14 (* end of lemma zenon_L55_ *)
% 32.93/33.14 assert (zenon_L56_ : (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> ((op1 (e13) (e11)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e10)) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e11)) = (e12))) -> (~((op1 (e11) (e11)) = (e13))) -> False).
% 32.93/33.14 do 0 intro. intros zenon_H139 zenon_H12d zenon_H12c zenon_H126 zenon_H93 zenon_H128 zenon_H11d zenon_H90 zenon_H132 zenon_H131 zenon_H130 zenon_Heb zenon_H13a zenon_H13b.
% 32.93/33.14 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_Hab | zenon_intro zenon_H13c ].
% 32.93/33.14 apply (zenon_L55_); trivial.
% 32.93/33.14 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Hae | zenon_intro zenon_H13d ].
% 32.93/33.14 exact (zenon_Heb zenon_Hae).
% 32.93/33.14 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H13f | zenon_intro zenon_H13e ].
% 32.93/33.14 exact (zenon_H13a zenon_H13f).
% 32.93/33.14 exact (zenon_H13b zenon_H13e).
% 32.93/33.14 (* end of lemma zenon_L56_ *)
% 32.93/33.14 assert (zenon_L57_ : (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) -> ((op1 (e11) (e10)) = (e12)) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> False).
% 32.93/33.14 do 0 intro. intros zenon_H140 zenon_H126 zenon_H141 zenon_H93.
% 32.93/33.14 cut (((e12) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) = ((op1 (e11) (e10)) = (op1 (e13) (e10)))).
% 32.93/33.14 intro zenon_D_pnotp.
% 32.93/33.14 apply zenon_H140.
% 32.93/33.14 rewrite <- zenon_D_pnotp.
% 32.93/33.14 exact zenon_H126.
% 32.93/33.14 cut (((op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H124].
% 32.93/33.14 cut (((e12) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H142].
% 32.93/33.14 congruence.
% 32.93/33.14 elim (classic ((op1 (e11) (e10)) = (op1 (e11) (e10)))); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hb0 ].
% 32.93/33.14 cut (((op1 (e11) (e10)) = (op1 (e11) (e10))) = ((e12) = (op1 (e11) (e10)))).
% 32.93/33.14 intro zenon_D_pnotp.
% 32.93/33.14 apply zenon_H142.
% 32.93/33.14 rewrite <- zenon_D_pnotp.
% 32.93/33.14 exact zenon_Hb3.
% 32.93/33.14 cut (((op1 (e11) (e10)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_Hb0].
% 32.93/33.14 cut (((op1 (e11) (e10)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H143].
% 32.93/33.14 congruence.
% 32.93/33.14 exact (zenon_H143 zenon_H141).
% 32.93/33.14 apply zenon_Hb0. apply refl_equal.
% 32.93/33.14 apply zenon_Hb0. apply refl_equal.
% 32.93/33.14 apply (zenon_L52_); trivial.
% 32.93/33.14 (* end of lemma zenon_L57_ *)
% 32.93/33.14 assert (zenon_L58_ : ((op1 (e12) (e12)) = (e12)) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> False).
% 32.93/33.14 do 0 intro. intros zenon_Hdd zenon_H144 zenon_H145.
% 32.93/33.14 elim (classic ((op1 (e12) (e12)) = (op1 (e12) (e12)))); [ zenon_intro zenon_He0 | zenon_intro zenon_He1 ].
% 32.93/33.14 cut (((op1 (e12) (e12)) = (op1 (e12) (e12))) = ((op1 (e11) (e12)) = (op1 (e12) (e12)))).
% 32.93/33.14 intro zenon_D_pnotp.
% 32.93/33.14 apply zenon_H145.
% 32.93/33.14 rewrite <- zenon_D_pnotp.
% 32.93/33.14 exact zenon_He0.
% 32.93/33.14 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_He1].
% 32.93/33.14 cut (((op1 (e12) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H146].
% 32.93/33.14 congruence.
% 32.93/33.14 cut (((op1 (e12) (e12)) = (e12)) = ((op1 (e12) (e12)) = (op1 (e11) (e12)))).
% 32.93/33.14 intro zenon_D_pnotp.
% 32.93/33.14 apply zenon_H146.
% 32.93/33.14 rewrite <- zenon_D_pnotp.
% 32.93/33.14 exact zenon_Hdd.
% 32.93/33.14 cut (((e12) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H147].
% 32.93/33.14 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_He1].
% 32.93/33.14 congruence.
% 32.93/33.14 apply zenon_He1. apply refl_equal.
% 32.93/33.14 apply zenon_H147. apply sym_equal. exact zenon_H144.
% 32.93/33.14 apply zenon_He1. apply refl_equal.
% 32.93/33.14 apply zenon_He1. apply refl_equal.
% 32.93/33.14 (* end of lemma zenon_L58_ *)
% 32.93/33.14 assert (zenon_L59_ : ((op1 (e11) (e10)) = (e11)) -> ((op1 (e11) (e10)) = (e13)) -> (~((e11) = (e13))) -> False).
% 32.93/33.14 do 0 intro. intros zenon_Had zenon_H148 zenon_Hf9.
% 32.93/33.14 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H149 | zenon_intro zenon_H123 ].
% 32.93/33.14 cut (((e13) = (e13)) = ((e11) = (e13))).
% 32.93/33.14 intro zenon_D_pnotp.
% 32.93/33.14 apply zenon_Hf9.
% 32.93/33.14 rewrite <- zenon_D_pnotp.
% 32.93/33.14 exact zenon_H149.
% 32.93/33.14 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H123].
% 32.93/33.14 cut (((e13) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14a].
% 32.93/33.14 congruence.
% 32.93/33.14 cut (((op1 (e11) (e10)) = (e11)) = ((e13) = (e11))).
% 32.93/33.14 intro zenon_D_pnotp.
% 32.93/33.14 apply zenon_H14a.
% 32.93/33.14 rewrite <- zenon_D_pnotp.
% 32.93/33.14 exact zenon_Had.
% 32.93/33.14 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_Hf8].
% 32.93/33.14 cut (((op1 (e11) (e10)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H14b].
% 32.93/33.14 congruence.
% 32.93/33.14 exact (zenon_H14b zenon_H148).
% 32.93/33.14 apply zenon_Hf8. apply refl_equal.
% 32.93/33.14 apply zenon_H123. apply refl_equal.
% 32.93/33.14 apply zenon_H123. apply refl_equal.
% 32.93/33.14 (* end of lemma zenon_L59_ *)
% 32.93/33.14 assert (zenon_L60_ : ((op1 (e10) (e13)) = (e10)) -> ((op1 (e10) (e13)) = (e13)) -> (~((e10) = (e13))) -> False).
% 32.93/33.14 do 0 intro. intros zenon_H14c zenon_H14d zenon_H14e.
% 32.93/33.14 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H149 | zenon_intro zenon_H123 ].
% 32.93/33.14 cut (((e13) = (e13)) = ((e10) = (e13))).
% 32.93/33.14 intro zenon_D_pnotp.
% 32.93/33.14 apply zenon_H14e.
% 32.93/33.14 rewrite <- zenon_D_pnotp.
% 32.93/33.14 exact zenon_H149.
% 32.93/33.14 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H123].
% 32.93/33.14 cut (((e13) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H14f].
% 32.93/33.14 congruence.
% 32.93/33.14 cut (((op1 (e10) (e13)) = (e10)) = ((e13) = (e10))).
% 32.93/33.14 intro zenon_D_pnotp.
% 32.93/33.14 apply zenon_H14f.
% 32.93/33.14 rewrite <- zenon_D_pnotp.
% 32.93/33.14 exact zenon_H14c.
% 32.93/33.14 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H8e].
% 32.93/33.14 cut (((op1 (e10) (e13)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H150].
% 32.93/33.14 congruence.
% 32.93/33.14 exact (zenon_H150 zenon_H14d).
% 32.93/33.14 apply zenon_H8e. apply refl_equal.
% 32.93/33.14 apply zenon_H123. apply refl_equal.
% 32.93/33.14 apply zenon_H123. apply refl_equal.
% 32.93/33.14 (* end of lemma zenon_L60_ *)
% 32.93/33.14 assert (zenon_L61_ : ((op1 (e11) (e13)) = (e12)) -> ((op1 (e11) (e13)) = (e13)) -> (~((e12) = (e13))) -> False).
% 32.93/33.14 do 0 intro. intros zenon_H151 zenon_H152 zenon_H153.
% 32.93/33.14 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H149 | zenon_intro zenon_H123 ].
% 32.93/33.14 cut (((e13) = (e13)) = ((e12) = (e13))).
% 32.93/33.14 intro zenon_D_pnotp.
% 32.93/33.14 apply zenon_H153.
% 32.93/33.14 rewrite <- zenon_D_pnotp.
% 32.93/33.14 exact zenon_H149.
% 32.93/33.14 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H123].
% 32.93/33.14 cut (((e13) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H154].
% 32.93/33.14 congruence.
% 32.93/33.14 cut (((op1 (e11) (e13)) = (e12)) = ((e13) = (e12))).
% 32.93/33.14 intro zenon_D_pnotp.
% 32.93/33.14 apply zenon_H154.
% 32.93/33.14 rewrite <- zenon_D_pnotp.
% 32.93/33.14 exact zenon_H151.
% 32.93/33.14 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Hd2].
% 32.93/33.14 cut (((op1 (e11) (e13)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H155].
% 32.93/33.14 congruence.
% 32.93/33.14 exact (zenon_H155 zenon_H152).
% 32.93/33.14 apply zenon_Hd2. apply refl_equal.
% 32.93/33.14 apply zenon_H123. apply refl_equal.
% 32.93/33.14 apply zenon_H123. apply refl_equal.
% 32.93/33.14 (* end of lemma zenon_L61_ *)
% 32.93/33.14 assert (zenon_L62_ : (~((op1 (e12) (op1 (e11) (e12))) = (op1 (e11) (e12)))) -> ((op1 (e12) (e13)) = (e13)) -> ((op1 (e11) (e12)) = (e13)) -> False).
% 32.93/33.14 do 0 intro. intros zenon_H156 zenon_H157 zenon_H158.
% 32.93/33.14 cut (((op1 (e12) (e13)) = (e13)) = ((op1 (e12) (op1 (e11) (e12))) = (op1 (e11) (e12)))).
% 32.93/33.14 intro zenon_D_pnotp.
% 32.93/33.14 apply zenon_H156.
% 32.93/33.14 rewrite <- zenon_D_pnotp.
% 32.93/33.14 exact zenon_H157.
% 32.93/33.14 cut (((e13) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H159].
% 32.93/33.14 cut (((op1 (e12) (e13)) = (op1 (e12) (op1 (e11) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H15a].
% 32.93/33.14 congruence.
% 32.93/33.14 elim (classic ((op1 (e12) (op1 (e11) (e12))) = (op1 (e12) (op1 (e11) (e12))))); [ zenon_intro zenon_H15b | zenon_intro zenon_H15c ].
% 32.93/33.14 cut (((op1 (e12) (op1 (e11) (e12))) = (op1 (e12) (op1 (e11) (e12)))) = ((op1 (e12) (e13)) = (op1 (e12) (op1 (e11) (e12))))).
% 32.93/33.14 intro zenon_D_pnotp.
% 32.93/33.14 apply zenon_H15a.
% 32.93/33.14 rewrite <- zenon_D_pnotp.
% 32.93/33.14 exact zenon_H15b.
% 32.93/33.14 cut (((op1 (e12) (op1 (e11) (e12))) = (op1 (e12) (op1 (e11) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H15c].
% 32.93/33.14 cut (((op1 (e12) (op1 (e11) (e12))) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H15d].
% 32.93/33.14 congruence.
% 32.93/33.14 cut (((op1 (e11) (e12)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H15e].
% 32.93/33.14 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Hd2].
% 32.93/33.14 congruence.
% 32.93/33.14 apply zenon_Hd2. apply refl_equal.
% 32.93/33.14 exact (zenon_H15e zenon_H158).
% 32.93/33.14 apply zenon_H15c. apply refl_equal.
% 32.93/33.14 apply zenon_H15c. apply refl_equal.
% 32.93/33.14 apply zenon_H159. apply sym_equal. exact zenon_H158.
% 32.93/33.14 (* end of lemma zenon_L62_ *)
% 32.93/33.14 assert (zenon_L63_ : (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> ((e12) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e12)) = (e12)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((e11) = (e13))) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e11) (e11)) = (e13))) -> (~((op1 (e13) (e13)) = (e13))) -> (~((op1 (e12) (op1 (e11) (e12))) = (op1 (e11) (e12)))) -> ((op1 (e10) (e13)) = (e10)) -> (~((e10) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> False).
% 32.93/33.14 do 0 intro. intros zenon_H15f zenon_H93 zenon_H126 zenon_H140 zenon_H13a zenon_H145 zenon_Hdd zenon_H160 zenon_Hf9 zenon_Had zenon_H13b zenon_Hfb zenon_H156 zenon_H14c zenon_H14e zenon_H161 zenon_H153.
% 32.93/33.14 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H141 | zenon_intro zenon_H162 ].
% 32.93/33.14 apply (zenon_L57_); trivial.
% 32.93/33.14 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H13f | zenon_intro zenon_H163 ].
% 32.93/33.14 exact (zenon_H13a zenon_H13f).
% 32.93/33.14 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H144 | zenon_intro zenon_H151 ].
% 32.93/33.14 apply (zenon_L58_); trivial.
% 32.93/33.14 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H148 | zenon_intro zenon_H164 ].
% 32.93/33.14 apply (zenon_L59_); trivial.
% 32.93/33.14 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H13e | zenon_intro zenon_H165 ].
% 32.93/33.14 exact (zenon_H13b zenon_H13e).
% 32.93/33.14 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H158 | zenon_intro zenon_H152 ].
% 32.93/33.14 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H14d | zenon_intro zenon_H166 ].
% 32.93/33.14 apply (zenon_L60_); trivial.
% 32.93/33.14 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H152 | zenon_intro zenon_H167 ].
% 32.93/33.14 apply (zenon_L61_); trivial.
% 32.93/33.14 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H157 | zenon_intro zenon_Hfa ].
% 32.93/33.14 apply (zenon_L62_); trivial.
% 32.93/33.14 exact (zenon_Hfb zenon_Hfa).
% 32.93/33.14 apply (zenon_L61_); trivial.
% 32.93/33.14 (* end of lemma zenon_L63_ *)
% 32.93/33.14 assert (zenon_L64_ : (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> ((op1 (e11) (e13)) = (e11)) -> False).
% 32.93/33.14 do 0 intro. intros zenon_H168 zenon_H90 zenon_H169.
% 32.93/33.14 cut (((e11) = (op1 (e13) (e13))) = ((op1 (e11) (e13)) = (op1 (e13) (e13)))).
% 32.93/33.14 intro zenon_D_pnotp.
% 32.93/33.14 apply zenon_H168.
% 32.93/33.14 rewrite <- zenon_D_pnotp.
% 32.93/33.14 exact zenon_H90.
% 32.93/33.14 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hb5].
% 32.93/33.14 cut (((e11) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H16a].
% 32.93/33.14 congruence.
% 32.93/33.14 elim (classic ((op1 (e11) (e13)) = (op1 (e11) (e13)))); [ zenon_intro zenon_H16b | zenon_intro zenon_H16c ].
% 32.93/33.14 cut (((op1 (e11) (e13)) = (op1 (e11) (e13))) = ((e11) = (op1 (e11) (e13)))).
% 32.93/33.14 intro zenon_D_pnotp.
% 32.93/33.14 apply zenon_H16a.
% 32.93/33.14 rewrite <- zenon_D_pnotp.
% 32.93/33.14 exact zenon_H16b.
% 32.93/33.14 cut (((op1 (e11) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H16c].
% 32.93/33.14 cut (((op1 (e11) (e13)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H16d].
% 32.93/33.14 congruence.
% 32.93/33.14 exact (zenon_H16d zenon_H169).
% 32.93/33.14 apply zenon_H16c. apply refl_equal.
% 32.93/33.14 apply zenon_H16c. apply refl_equal.
% 32.93/33.14 apply zenon_Hb5. apply refl_equal.
% 32.93/33.14 (* end of lemma zenon_L64_ *)
% 32.93/33.14 assert (zenon_L65_ : (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e10)) = (e11)) -> ((op1 (e11) (e12)) = (e11)) -> False).
% 32.93/33.14 do 0 intro. intros zenon_H16e zenon_Had zenon_H16f.
% 32.93/33.14 cut (((op1 (e11) (e10)) = (e11)) = ((op1 (e11) (e10)) = (op1 (e11) (e12)))).
% 32.93/33.14 intro zenon_D_pnotp.
% 32.93/33.14 apply zenon_H16e.
% 32.93/33.14 rewrite <- zenon_D_pnotp.
% 32.93/33.14 exact zenon_Had.
% 32.93/33.14 cut (((e11) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H170].
% 32.93/33.14 cut (((op1 (e11) (e10)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_Hb0].
% 32.93/33.14 congruence.
% 32.93/33.14 apply zenon_Hb0. apply refl_equal.
% 32.93/33.14 apply zenon_H170. apply sym_equal. exact zenon_H16f.
% 32.93/33.14 (* end of lemma zenon_L65_ *)
% 32.93/33.14 assert (zenon_L66_ : ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e12)) = (e12)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (~((e12) = (e13))) -> (~((op1 (e12) (op1 (e11) (e12))) = (op1 (e11) (e12)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (e10))) -> ((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> False).
% 32.93/33.14 do 0 intro. intros zenon_H171 zenon_H16e zenon_H172 zenon_H173 zenon_H140 zenon_H145 zenon_Hdd zenon_H160 zenon_H14e zenon_H153 zenon_H156 zenon_H161 zenon_Hf9 zenon_H15f zenon_H130 zenon_H12c zenon_H126 zenon_H128 zenon_H11d zenon_H132 zenon_H139 zenon_H105 zenon_H174 zenon_H168 zenon_H175 zenon_Hb1 zenon_Hac zenon_He5 zenon_H92 zenon_H93 zenon_H90 zenon_H9a zenon_Ha1 zenon_Ha7.
% 32.93/33.14 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Had ].
% 32.93/33.14 apply (zenon_L30_); trivial.
% 32.93/33.14 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Heb | zenon_intro zenon_Hae ].
% 32.93/33.14 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H13a | zenon_intro zenon_H16f ].
% 32.93/33.14 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H13b | zenon_intro zenon_H169 ].
% 32.93/33.14 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H91 | zenon_intro zenon_H12d ].
% 32.93/33.14 apply zenon_H91. apply sym_equal. exact zenon_H90.
% 32.93/33.14 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hfb | zenon_intro zenon_Hfa ].
% 32.93/33.14 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H104 | zenon_intro zenon_H176 ].
% 32.93/33.14 exact (zenon_H105 zenon_H104).
% 32.93/33.14 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H94 | zenon_intro zenon_H177 ].
% 32.93/33.14 apply (zenon_L27_); trivial.
% 32.93/33.14 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H131 | zenon_intro zenon_H14c ].
% 32.93/33.14 apply (zenon_L56_); trivial.
% 32.93/33.14 apply (zenon_L63_); trivial.
% 32.93/33.14 apply (zenon_L45_); trivial.
% 32.93/33.14 apply (zenon_L64_); trivial.
% 32.93/33.14 apply (zenon_L65_); trivial.
% 32.93/33.14 apply (zenon_L32_); trivial.
% 32.93/33.14 (* end of lemma zenon_L66_ *)
% 32.93/33.14 assert (zenon_L67_ : ((op1 (e13) (e11)) = (e13)) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> False).
% 32.93/33.14 do 0 intro. intros zenon_H12d zenon_H178 zenon_H179.
% 32.93/33.14 elim (classic ((op1 (e13) (e11)) = (op1 (e13) (e11)))); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Ha3 ].
% 32.93/33.14 cut (((op1 (e13) (e11)) = (op1 (e13) (e11))) = ((op1 (e10) (e11)) = (op1 (e13) (e11)))).
% 32.93/33.14 intro zenon_D_pnotp.
% 32.93/33.14 apply zenon_H179.
% 32.93/33.14 rewrite <- zenon_D_pnotp.
% 32.93/33.14 exact zenon_Ha2.
% 32.93/33.14 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_Ha3].
% 32.93/33.14 cut (((op1 (e13) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H17a].
% 32.93/33.14 congruence.
% 32.93/33.14 cut (((op1 (e13) (e11)) = (e13)) = ((op1 (e13) (e11)) = (op1 (e10) (e11)))).
% 32.93/33.14 intro zenon_D_pnotp.
% 32.93/33.14 apply zenon_H17a.
% 32.93/33.14 rewrite <- zenon_D_pnotp.
% 32.93/33.14 exact zenon_H12d.
% 32.93/33.14 cut (((e13) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H17b].
% 32.93/33.14 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_Ha3].
% 32.93/33.14 congruence.
% 32.93/33.14 apply zenon_Ha3. apply refl_equal.
% 32.93/33.14 apply zenon_H17b. apply sym_equal. exact zenon_H178.
% 32.93/33.14 apply zenon_Ha3. apply refl_equal.
% 32.93/33.14 apply zenon_Ha3. apply refl_equal.
% 32.93/33.14 (* end of lemma zenon_L67_ *)
% 32.93/33.14 assert (zenon_L68_ : ((op1 (e10) (e12)) = (e11)) -> ((op1 (e10) (e12)) = (e13)) -> (~((e11) = (e13))) -> False).
% 32.93/33.14 do 0 intro. intros zenon_Hef zenon_H17c zenon_Hf9.
% 32.93/33.14 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H149 | zenon_intro zenon_H123 ].
% 32.93/33.14 cut (((e13) = (e13)) = ((e11) = (e13))).
% 32.93/33.14 intro zenon_D_pnotp.
% 32.93/33.14 apply zenon_Hf9.
% 32.93/33.14 rewrite <- zenon_D_pnotp.
% 32.93/33.14 exact zenon_H149.
% 32.93/33.14 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H123].
% 32.93/33.14 cut (((e13) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14a].
% 32.93/33.14 congruence.
% 32.93/33.14 cut (((op1 (e10) (e12)) = (e11)) = ((e13) = (e11))).
% 32.93/33.14 intro zenon_D_pnotp.
% 32.93/33.14 apply zenon_H14a.
% 32.93/33.14 rewrite <- zenon_D_pnotp.
% 32.93/33.14 exact zenon_Hef.
% 32.93/33.14 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_Hf8].
% 32.93/33.14 cut (((op1 (e10) (e12)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H17d].
% 32.93/33.14 congruence.
% 32.93/33.14 exact (zenon_H17d zenon_H17c).
% 32.93/33.14 apply zenon_Hf8. apply refl_equal.
% 32.93/33.14 apply zenon_H123. apply refl_equal.
% 32.93/33.14 apply zenon_H123. apply refl_equal.
% 32.93/33.14 (* end of lemma zenon_L68_ *)
% 32.93/33.14 assert (zenon_L69_ : (~((op1 (e10) (op1 (e12) (e10))) = (op1 (e12) (e10)))) -> ((op1 (e10) (e13)) = (e13)) -> ((op1 (e12) (e10)) = (e13)) -> False).
% 32.93/33.14 do 0 intro. intros zenon_H17e zenon_H14d zenon_H17f.
% 32.93/33.14 cut (((op1 (e10) (e13)) = (e13)) = ((op1 (e10) (op1 (e12) (e10))) = (op1 (e12) (e10)))).
% 32.93/33.14 intro zenon_D_pnotp.
% 32.93/33.14 apply zenon_H17e.
% 32.93/33.14 rewrite <- zenon_D_pnotp.
% 32.93/33.14 exact zenon_H14d.
% 32.93/33.14 cut (((e13) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H180].
% 32.93/33.14 cut (((op1 (e10) (e13)) = (op1 (e10) (op1 (e12) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H181].
% 32.93/33.14 congruence.
% 32.93/33.14 elim (classic ((op1 (e10) (op1 (e12) (e10))) = (op1 (e10) (op1 (e12) (e10))))); [ zenon_intro zenon_H182 | zenon_intro zenon_H183 ].
% 32.93/33.14 cut (((op1 (e10) (op1 (e12) (e10))) = (op1 (e10) (op1 (e12) (e10)))) = ((op1 (e10) (e13)) = (op1 (e10) (op1 (e12) (e10))))).
% 32.93/33.14 intro zenon_D_pnotp.
% 32.93/33.14 apply zenon_H181.
% 32.93/33.14 rewrite <- zenon_D_pnotp.
% 32.93/33.14 exact zenon_H182.
% 32.93/33.14 cut (((op1 (e10) (op1 (e12) (e10))) = (op1 (e10) (op1 (e12) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H183].
% 32.93/33.14 cut (((op1 (e10) (op1 (e12) (e10))) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H184].
% 32.93/33.14 congruence.
% 32.93/33.14 cut (((op1 (e12) (e10)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H185].
% 32.93/33.14 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H8e].
% 32.93/33.14 congruence.
% 32.93/33.14 apply zenon_H8e. apply refl_equal.
% 32.93/33.14 exact (zenon_H185 zenon_H17f).
% 32.93/33.14 apply zenon_H183. apply refl_equal.
% 32.93/33.14 apply zenon_H183. apply refl_equal.
% 32.93/33.14 apply zenon_H180. apply sym_equal. exact zenon_H17f.
% 32.93/33.14 (* end of lemma zenon_L69_ *)
% 32.93/33.14 assert (zenon_L70_ : (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e10)) = (e13)) -> ((op1 (e13) (e11)) = (e13)) -> False).
% 32.93/33.14 do 0 intro. intros zenon_H186 zenon_H187 zenon_H12d.
% 32.93/33.14 cut (((op1 (e13) (e10)) = (e13)) = ((op1 (e13) (e10)) = (op1 (e13) (e11)))).
% 32.93/33.14 intro zenon_D_pnotp.
% 32.93/33.14 apply zenon_H186.
% 32.93/33.14 rewrite <- zenon_D_pnotp.
% 32.93/33.14 exact zenon_H187.
% 32.93/33.14 cut (((e13) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H188].
% 32.93/33.14 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H189].
% 32.93/33.14 congruence.
% 32.93/33.14 apply zenon_H189. apply refl_equal.
% 32.93/33.14 apply zenon_H188. apply sym_equal. exact zenon_H12d.
% 32.93/33.14 (* end of lemma zenon_L70_ *)
% 32.93/33.14 assert (zenon_L71_ : ((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 32.93/33.14 do 0 intro. intros zenon_H172 zenon_H187 zenon_H186 zenon_H90.
% 32.93/33.14 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H91 | zenon_intro zenon_H12d ].
% 32.93/33.14 apply zenon_H91. apply sym_equal. exact zenon_H90.
% 32.93/33.14 apply (zenon_L70_); trivial.
% 32.93/33.14 (* end of lemma zenon_L71_ *)
% 32.93/33.14 assert (zenon_L72_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (e13))) -> (~((e11) = (e13))) -> ((op1 (e11) (e10)) = (e11)) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e10) (op1 (e12) (e10))) = (op1 (e12) (e10)))) -> ((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 32.93/33.14 do 0 intro. intros zenon_H18a zenon_H18b zenon_Hf9 zenon_Had zenon_H14d zenon_H17e zenon_H172 zenon_H186 zenon_H90.
% 32.93/33.14 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H18d | zenon_intro zenon_H18c ].
% 32.93/33.14 exact (zenon_H18b zenon_H18d).
% 32.93/33.14 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H148 | zenon_intro zenon_H18e ].
% 32.93/33.14 apply (zenon_L59_); trivial.
% 32.93/33.14 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H17f | zenon_intro zenon_H187 ].
% 32.93/33.14 apply (zenon_L69_); trivial.
% 32.93/33.14 apply (zenon_L71_); trivial.
% 32.93/33.14 (* end of lemma zenon_L72_ *)
% 32.93/33.14 assert (zenon_L73_ : (~((op1 (e11) (op1 (e12) (e11))) = (op1 (e12) (e11)))) -> ((op1 (e11) (e12)) = (e12)) -> ((op1 (e12) (e11)) = (e12)) -> False).
% 32.93/33.14 do 0 intro. intros zenon_H18f zenon_H144 zenon_Hde.
% 32.93/33.14 cut (((op1 (e11) (e12)) = (e12)) = ((op1 (e11) (op1 (e12) (e11))) = (op1 (e12) (e11)))).
% 32.93/33.14 intro zenon_D_pnotp.
% 32.93/33.14 apply zenon_H18f.
% 32.93/33.14 rewrite <- zenon_D_pnotp.
% 32.93/33.14 exact zenon_H144.
% 32.93/33.14 cut (((e12) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_He3].
% 32.93/33.14 cut (((op1 (e11) (e12)) = (op1 (e11) (op1 (e12) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H190].
% 32.93/33.14 congruence.
% 32.93/33.14 elim (classic ((op1 (e11) (op1 (e12) (e11))) = (op1 (e11) (op1 (e12) (e11))))); [ zenon_intro zenon_H191 | zenon_intro zenon_H192 ].
% 32.93/33.14 cut (((op1 (e11) (op1 (e12) (e11))) = (op1 (e11) (op1 (e12) (e11)))) = ((op1 (e11) (e12)) = (op1 (e11) (op1 (e12) (e11))))).
% 32.93/33.14 intro zenon_D_pnotp.
% 32.93/33.14 apply zenon_H190.
% 32.93/33.14 rewrite <- zenon_D_pnotp.
% 32.93/33.14 exact zenon_H191.
% 32.93/33.14 cut (((op1 (e11) (op1 (e12) (e11))) = (op1 (e11) (op1 (e12) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H192].
% 32.93/33.14 cut (((op1 (e11) (op1 (e12) (e11))) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H193].
% 32.93/33.14 congruence.
% 32.93/33.14 cut (((op1 (e12) (e11)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H194].
% 32.93/33.14 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_Hf8].
% 32.93/33.14 congruence.
% 32.93/33.14 apply zenon_Hf8. apply refl_equal.
% 32.93/33.14 exact (zenon_H194 zenon_Hde).
% 32.93/33.14 apply zenon_H192. apply refl_equal.
% 32.93/33.14 apply zenon_H192. apply refl_equal.
% 32.93/33.14 apply zenon_He3. apply sym_equal. exact zenon_Hde.
% 32.93/33.14 (* end of lemma zenon_L73_ *)
% 32.93/33.14 assert (zenon_L74_ : (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((op1 (e10) (e10)) = (e10)) -> ((op1 (e10) (e13)) = (e10)) -> False).
% 32.93/33.14 do 0 intro. intros zenon_H195 zenon_H104 zenon_H14c.
% 32.93/33.14 cut (((op1 (e10) (e10)) = (e10)) = ((op1 (e10) (e10)) = (op1 (e10) (e13)))).
% 32.93/33.14 intro zenon_D_pnotp.
% 32.93/33.14 apply zenon_H195.
% 32.93/33.14 rewrite <- zenon_D_pnotp.
% 32.93/33.14 exact zenon_H104.
% 32.93/33.14 cut (((e10) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H196].
% 32.93/33.14 cut (((op1 (e10) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H197].
% 32.93/33.14 congruence.
% 32.93/33.14 apply zenon_H197. apply refl_equal.
% 32.93/33.14 apply zenon_H196. apply sym_equal. exact zenon_H14c.
% 32.93/33.14 (* end of lemma zenon_L74_ *)
% 32.93/33.14 assert (zenon_L75_ : (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> ((op1 (e11) (e13)) = (e12)) -> False).
% 32.93/33.14 do 0 intro. intros zenon_H198 zenon_H199 zenon_H151.
% 32.93/33.14 cut (((op1 (e10) (e13)) = (e12)) = ((op1 (e10) (e13)) = (op1 (e11) (e13)))).
% 32.93/33.14 intro zenon_D_pnotp.
% 32.93/33.14 apply zenon_H198.
% 32.93/33.14 rewrite <- zenon_D_pnotp.
% 32.93/33.14 exact zenon_H199.
% 32.93/33.14 cut (((e12) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H19a].
% 32.93/33.14 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hdb].
% 32.93/33.14 congruence.
% 32.93/33.14 apply zenon_Hdb. apply refl_equal.
% 32.93/33.14 apply zenon_H19a. apply sym_equal. exact zenon_H151.
% 32.93/33.14 (* end of lemma zenon_L75_ *)
% 32.93/33.14 assert (zenon_L76_ : (~((op1 (e12) (op1 (e12) (e12))) = (op1 (e12) (e12)))) -> ((op1 (e12) (e12)) = (e12)) -> False).
% 32.93/33.14 do 0 intro. intros zenon_H19b zenon_Hdd.
% 32.93/33.14 cut (((op1 (e12) (e12)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H19c].
% 32.93/33.14 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Hd2].
% 32.93/33.14 congruence.
% 32.93/33.14 apply zenon_Hd2. apply refl_equal.
% 32.93/33.14 exact (zenon_H19c zenon_Hdd).
% 32.93/33.14 (* end of lemma zenon_L76_ *)
% 32.93/33.14 assert (zenon_L77_ : ((~((op1 (e10) (op1 (e12) (e10))) = (op1 (e12) (e10))))/\((~((op1 (e11) (op1 (e12) (e11))) = (op1 (e12) (e11))))/\((~((op1 (e12) (op1 (e12) (e12))) = (op1 (e12) (e12))))/\(~((op1 (e13) (op1 (e12) (e13))) = (op1 (e12) (e13))))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((e12) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 32.93/33.14 do 0 intro. intros zenon_H19d zenon_Hfd zenon_H19e zenon_H171 zenon_H16e zenon_Hcd zenon_Hc7 zenon_Hc3 zenon_Hb9 zenon_H19f zenon_H172 zenon_H186 zenon_H18a zenon_H179 zenon_Hd7 zenon_He6 zenon_H15f zenon_H195 zenon_H198 zenon_H1a0 zenon_H126 zenon_H140 zenon_He9 zenon_He4 zenon_Ha7 zenon_Ha1 zenon_H9a zenon_H93 zenon_H92 zenon_Hac zenon_Hb1 zenon_Hf9 zenon_H90.
% 32.93/33.14 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H17e. zenon_intro zenon_H1a1.
% 32.93/33.14 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H18f. zenon_intro zenon_H1a2.
% 32.93/33.14 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H19b. zenon_intro zenon_H1a3.
% 32.93/33.14 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H104 | zenon_intro zenon_H103 ].
% 32.93/33.14 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_Hea | zenon_intro zenon_H94 ].
% 32.93/33.14 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H18b | zenon_intro zenon_H14c ].
% 32.93/33.14 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Had ].
% 32.93/33.14 apply (zenon_L30_); trivial.
% 32.93/33.14 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H13a | zenon_intro zenon_H16f ].
% 32.93/33.14 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hce | zenon_intro zenon_Hde ].
% 32.93/33.14 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H91 | zenon_intro zenon_H12d ].
% 32.93/33.14 apply zenon_H91. apply sym_equal. exact zenon_H90.
% 32.93/33.14 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hed | zenon_intro zenon_Hec ].
% 32.93/33.14 exact (zenon_Hea zenon_Hed).
% 32.93/33.14 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hee ].
% 32.93/33.14 apply (zenon_L38_); trivial.
% 32.93/33.14 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_Hef | zenon_intro zenon_Hd8 ].
% 32.93/33.14 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H18d | zenon_intro zenon_H1a4 ].
% 32.93/33.14 exact (zenon_H18b zenon_H18d).
% 32.93/33.14 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H178 | zenon_intro zenon_H1a5 ].
% 32.93/33.14 apply (zenon_L67_); trivial.
% 32.93/33.14 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H17c | zenon_intro zenon_H14d ].
% 32.93/33.14 apply (zenon_L68_); trivial.
% 32.93/33.14 apply (zenon_L72_); trivial.
% 32.93/33.14 apply (zenon_L41_); trivial.
% 32.93/33.14 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H91 | zenon_intro zenon_H12d ].
% 32.93/33.14 apply zenon_H91. apply sym_equal. exact zenon_H90.
% 32.93/33.14 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H18d | zenon_intro zenon_H18c ].
% 32.93/33.14 exact (zenon_H18b zenon_H18d).
% 32.93/33.14 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H148 | zenon_intro zenon_H18e ].
% 32.93/33.14 apply (zenon_L59_); trivial.
% 32.93/33.14 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H17f | zenon_intro zenon_H187 ].
% 32.93/33.14 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H141 | zenon_intro zenon_H162 ].
% 32.93/33.14 apply (zenon_L57_); trivial.
% 32.93/33.14 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H13f | zenon_intro zenon_H163 ].
% 32.93/33.14 exact (zenon_H13a zenon_H13f).
% 32.93/33.14 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H144 | zenon_intro zenon_H151 ].
% 32.93/33.14 apply (zenon_L73_); trivial.
% 32.93/33.14 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H14c | zenon_intro zenon_H1a6 ].
% 32.93/33.14 apply (zenon_L74_); trivial.
% 32.93/33.14 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1a7 ].
% 32.93/33.14 apply (zenon_L41_); trivial.
% 32.93/33.14 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H199 | zenon_intro zenon_H14d ].
% 32.93/33.14 apply (zenon_L75_); trivial.
% 32.93/33.14 apply (zenon_L69_); trivial.
% 32.93/33.14 apply (zenon_L70_); trivial.
% 32.93/33.14 apply (zenon_L65_); trivial.
% 32.93/33.14 apply (zenon_L74_); trivial.
% 32.93/33.14 apply (zenon_L27_); trivial.
% 32.93/33.14 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Hae | zenon_intro zenon_H106 ].
% 32.93/33.14 apply (zenon_L32_); trivial.
% 32.93/33.14 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hdd | zenon_intro zenon_Hfa ].
% 32.93/33.14 apply (zenon_L76_); trivial.
% 32.93/33.14 apply (zenon_L45_); trivial.
% 32.93/33.14 (* end of lemma zenon_L77_ *)
% 32.93/33.14 assert (zenon_L78_ : ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> ((op1 (e11) (e12)) = (e10)) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> False).
% 32.93/33.14 do 0 intro. intros zenon_H93 zenon_H1a8 zenon_H90 zenon_H1a9.
% 32.93/33.14 elim (classic ((op1 (e11) (e12)) = (op1 (e11) (e12)))); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1ab ].
% 32.93/33.14 cut (((op1 (e11) (e12)) = (op1 (e11) (e12))) = ((op1 (e11) (e11)) = (op1 (e11) (e12)))).
% 32.93/33.14 intro zenon_D_pnotp.
% 32.93/33.14 apply zenon_H1a9.
% 32.93/33.14 rewrite <- zenon_D_pnotp.
% 32.93/33.14 exact zenon_H1aa.
% 32.93/33.14 cut (((op1 (e11) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1ab].
% 32.93/33.14 cut (((op1 (e11) (e12)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H1ac].
% 32.93/33.14 congruence.
% 32.93/33.14 cut (((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) = ((op1 (e11) (e12)) = (op1 (e11) (e11)))).
% 32.93/33.14 intro zenon_D_pnotp.
% 32.93/33.14 apply zenon_H1ac.
% 32.93/33.14 rewrite <- zenon_D_pnotp.
% 32.93/33.14 exact zenon_H93.
% 32.93/33.14 cut (((op1 (op1 (e13) (e13)) (op1 (e13) (e13))) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H8f].
% 32.93/33.14 cut (((e10) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1ad].
% 32.93/33.14 congruence.
% 32.93/33.14 elim (classic ((op1 (e11) (e12)) = (op1 (e11) (e12)))); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1ab ].
% 32.93/33.14 cut (((op1 (e11) (e12)) = (op1 (e11) (e12))) = ((e10) = (op1 (e11) (e12)))).
% 32.93/33.14 intro zenon_D_pnotp.
% 32.93/33.14 apply zenon_H1ad.
% 32.93/33.14 rewrite <- zenon_D_pnotp.
% 32.93/33.14 exact zenon_H1aa.
% 32.93/33.14 cut (((op1 (e11) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1ab].
% 32.93/33.14 cut (((op1 (e11) (e12)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H1ae].
% 32.93/33.14 congruence.
% 32.93/33.14 exact (zenon_H1ae zenon_H1a8).
% 32.93/33.14 apply zenon_H1ab. apply refl_equal.
% 32.93/33.14 apply zenon_H1ab. apply refl_equal.
% 32.93/33.14 apply (zenon_L26_); trivial.
% 32.93/33.14 apply zenon_H1ab. apply refl_equal.
% 32.93/33.14 apply zenon_H1ab. apply refl_equal.
% 32.93/33.14 (* end of lemma zenon_L78_ *)
% 32.93/33.14 assert (zenon_L79_ : (~((op1 (e12) (op1 (e13) (e12))) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e13) (e12)) = (e10)) -> False).
% 32.93/33.14 do 0 intro. intros zenon_H1af zenon_H1b0 zenon_H118.
% 32.93/33.14 cut (((op1 (e12) (e10)) = (e10)) = ((op1 (e12) (op1 (e13) (e12))) = (op1 (e13) (e12)))).
% 32.93/33.14 intro zenon_D_pnotp.
% 32.93/33.14 apply zenon_H1af.
% 32.93/33.14 rewrite <- zenon_D_pnotp.
% 32.93/33.14 exact zenon_H1b0.
% 32.93/33.14 cut (((e10) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H119].
% 32.93/33.14 cut (((op1 (e12) (e10)) = (op1 (e12) (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H1b1].
% 32.93/33.14 congruence.
% 32.93/33.14 elim (classic ((op1 (e12) (op1 (e13) (e12))) = (op1 (e12) (op1 (e13) (e12))))); [ zenon_intro zenon_H1b2 | zenon_intro zenon_H1b3 ].
% 32.93/33.14 cut (((op1 (e12) (op1 (e13) (e12))) = (op1 (e12) (op1 (e13) (e12)))) = ((op1 (e12) (e10)) = (op1 (e12) (op1 (e13) (e12))))).
% 32.93/33.14 intro zenon_D_pnotp.
% 32.93/33.14 apply zenon_H1b1.
% 32.93/33.14 rewrite <- zenon_D_pnotp.
% 32.93/33.14 exact zenon_H1b2.
% 32.93/33.14 cut (((op1 (e12) (op1 (e13) (e12))) = (op1 (e12) (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H1b3].
% 32.93/33.14 cut (((op1 (e12) (op1 (e13) (e12))) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1b4].
% 32.93/33.14 congruence.
% 32.93/33.14 cut (((op1 (e13) (e12)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H1b5].
% 32.93/33.14 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Hd2].
% 32.93/33.14 congruence.
% 32.93/33.14 apply zenon_Hd2. apply refl_equal.
% 32.93/33.14 exact (zenon_H1b5 zenon_H118).
% 32.93/33.14 apply zenon_H1b3. apply refl_equal.
% 32.93/33.14 apply zenon_H1b3. apply refl_equal.
% 32.93/33.14 apply zenon_H119. apply sym_equal. exact zenon_H118.
% 32.93/33.14 (* end of lemma zenon_L79_ *)
% 32.93/33.14 assert (zenon_L80_ : (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> ((op1 (e13) (e11)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e11)) = (e10)) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (e10))) -> (~((op1 (e12) (op1 (e13) (e12))) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e10)) -> False).
% 32.93/33.14 do 0 intro. intros zenon_H1b6 zenon_H12d zenon_H12c zenon_H126 zenon_H128 zenon_H11d zenon_H132 zenon_Hab zenon_H130 zenon_H1a9 zenon_H90 zenon_H93 zenon_H1b7 zenon_H1af zenon_H1b0.
% 32.93/33.14 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H131 | zenon_intro zenon_H1b8 ].
% 32.93/33.14 apply (zenon_L55_); trivial.
% 32.93/33.14 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H1b9 ].
% 32.93/33.14 apply (zenon_L78_); trivial.
% 32.93/33.14 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H1ba | zenon_intro zenon_H118 ].
% 32.93/33.14 exact (zenon_H1b7 zenon_H1ba).
% 32.93/33.14 apply (zenon_L79_); trivial.
% 32.93/33.14 (* end of lemma zenon_L80_ *)
% 32.93/33.14 assert (zenon_L81_ : (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e12) (e10)) = (e10)) -> (~((op1 (e12) (op1 (e13) (e12))) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (e10))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e11)) = (e13)) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> False).
% 32.93/33.14 do 0 intro. intros zenon_Ha7 zenon_H92 zenon_H1b0 zenon_H1af zenon_H1b7 zenon_H1a9 zenon_H130 zenon_H132 zenon_H11d zenon_H128 zenon_H126 zenon_H12c zenon_H12d zenon_H1b6 zenon_H9a zenon_H93 zenon_H90 zenon_Ha1.
% 32.93/33.14 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H94 | zenon_intro zenon_Ha9 ].
% 32.93/33.14 apply (zenon_L27_); trivial.
% 32.93/33.14 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_Hab | zenon_intro zenon_Haa ].
% 32.93/33.14 apply (zenon_L80_); trivial.
% 32.93/33.14 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H99 | zenon_intro zenon_Ha0 ].
% 32.93/33.14 apply (zenon_L28_); trivial.
% 32.93/33.14 apply (zenon_L29_); trivial.
% 32.93/33.14 (* end of lemma zenon_L81_ *)
% 32.93/33.14 assert (zenon_L82_ : (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> ((op1 (e13) (e11)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) -> (~((op1 (e13) (e12)) = (op1 (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 (e11) (e12)))) -> (~((op1 (e12) (e12)) = (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> ((op1 (e13) (e10)) = (e10)) -> ((op1 (e11) (e11)) = (e10)) -> ((e11) = (op1 (e13) (e13))) -> False).
% 32.93/33.14 do 0 intro. intros zenon_H1b6 zenon_H12d zenon_H12c zenon_H126 zenon_H11d zenon_H132 zenon_H130 zenon_H1a9 zenon_H1b7 zenon_H128 zenon_H93 zenon_H1bb zenon_Hab zenon_H90.
% 32.93/33.14 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H131 | zenon_intro zenon_H1b8 ].
% 32.93/33.14 apply (zenon_L55_); trivial.
% 32.93/33.14 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H1b9 ].
% 32.93/33.14 apply (zenon_L78_); trivial.
% 32.93/33.14 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H1ba | zenon_intro zenon_H118 ].
% 32.93/33.14 exact (zenon_H1b7 zenon_H1ba).
% 32.93/33.14 cut (((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) = ((op1 (e13) (e10)) = (op1 (e13) (e12)))).
% 32.93/33.14 intro zenon_D_pnotp.
% 32.93/33.14 apply zenon_H128.
% 32.93/33.14 rewrite <- zenon_D_pnotp.
% 32.93/33.14 exact zenon_H93.
% 32.93/33.14 cut (((op1 (op1 (e13) (e13)) (op1 (e13) (e13))) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H117].
% 32.93/33.14 cut (((e10) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1bc].
% 32.93/33.14 congruence.
% 32.93/33.14 elim (classic ((op1 (e13) (e10)) = (op1 (e13) (e10)))); [ zenon_intro zenon_H1bd | zenon_intro zenon_H189 ].
% 32.93/33.14 cut (((op1 (e13) (e10)) = (op1 (e13) (e10))) = ((e10) = (op1 (e13) (e10)))).
% 32.93/33.14 intro zenon_D_pnotp.
% 32.93/33.14 apply zenon_H1bc.
% 32.93/33.14 rewrite <- zenon_D_pnotp.
% 32.93/33.14 exact zenon_H1bd.
% 32.93/33.14 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H189].
% 32.93/33.14 cut (((op1 (e13) (e10)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H1be].
% 32.93/33.14 congruence.
% 32.93/33.14 exact (zenon_H1be zenon_H1bb).
% 32.93/33.14 apply zenon_H189. apply refl_equal.
% 32.93/33.14 apply zenon_H189. apply refl_equal.
% 32.93/33.14 apply (zenon_L49_); trivial.
% 32.93/33.14 (* end of lemma zenon_L82_ *)
% 32.93/33.14 assert (zenon_L83_ : (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e13) (e10)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (e10))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e11)) = (e13)) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> False).
% 32.93/33.14 do 0 intro. intros zenon_Ha7 zenon_H92 zenon_H1bb zenon_H128 zenon_H1b7 zenon_H1a9 zenon_H130 zenon_H132 zenon_H11d zenon_H126 zenon_H12c zenon_H12d zenon_H1b6 zenon_H9a zenon_H93 zenon_H90 zenon_Ha1.
% 32.93/33.14 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H94 | zenon_intro zenon_Ha9 ].
% 32.93/33.14 apply (zenon_L27_); trivial.
% 32.93/33.14 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_Hab | zenon_intro zenon_Haa ].
% 32.93/33.14 apply (zenon_L82_); trivial.
% 32.93/33.14 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H99 | zenon_intro zenon_Ha0 ].
% 32.93/33.14 apply (zenon_L28_); trivial.
% 32.93/33.14 apply (zenon_L29_); trivial.
% 32.93/33.14 (* end of lemma zenon_L83_ *)
% 32.93/33.14 assert (zenon_L84_ : (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) -> ((op1 (e12) (e10)) = (e12)) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> False).
% 32.93/33.14 do 0 intro. intros zenon_H1bf zenon_H126 zenon_H1c0 zenon_H93.
% 32.93/33.14 cut (((e12) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) = ((op1 (e12) (e10)) = (op1 (e13) (e10)))).
% 32.93/33.14 intro zenon_D_pnotp.
% 32.93/33.14 apply zenon_H1bf.
% 32.93/33.14 rewrite <- zenon_D_pnotp.
% 32.93/33.14 exact zenon_H126.
% 32.93/33.14 cut (((op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H124].
% 32.93/33.14 cut (((e12) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1c1].
% 32.93/33.14 congruence.
% 32.93/33.14 elim (classic ((op1 (e12) (e10)) = (op1 (e12) (e10)))); [ zenon_intro zenon_Hba | zenon_intro zenon_Hbb ].
% 32.93/33.14 cut (((op1 (e12) (e10)) = (op1 (e12) (e10))) = ((e12) = (op1 (e12) (e10)))).
% 32.93/33.14 intro zenon_D_pnotp.
% 32.93/33.14 apply zenon_H1c1.
% 32.93/33.14 rewrite <- zenon_D_pnotp.
% 32.93/33.14 exact zenon_Hba.
% 32.93/33.14 cut (((op1 (e12) (e10)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_Hbb].
% 32.93/33.14 cut (((op1 (e12) (e10)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H1c2].
% 32.93/33.14 congruence.
% 32.93/33.14 exact (zenon_H1c2 zenon_H1c0).
% 32.93/33.14 apply zenon_Hbb. apply refl_equal.
% 32.93/33.14 apply zenon_Hbb. apply refl_equal.
% 32.93/33.14 apply (zenon_L52_); trivial.
% 32.93/33.14 (* end of lemma zenon_L84_ *)
% 32.93/33.14 assert (zenon_L85_ : ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (e13) (e13))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e12) (op1 (e13) (e12))) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) -> (~((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 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (e10))) -> ((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))) -> False).
% 32.93/33.14 do 0 intro. intros zenon_H1c3 zenon_H1bf zenon_H90 zenon_H1c4 zenon_H92 zenon_H1b6 zenon_H1af zenon_H1a9 zenon_H132 zenon_H11d zenon_H128 zenon_H126 zenon_H12c zenon_H130 zenon_H9a zenon_Ha1 zenon_Ha7 zenon_H93 zenon_Hac zenon_H105 zenon_H172.
% 32.93/33.14 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c0 ].
% 32.93/33.14 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H91 | zenon_intro zenon_H12d ].
% 32.93/33.14 apply zenon_H91. apply sym_equal. exact zenon_H90.
% 32.93/33.14 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H104 | zenon_intro zenon_H1c5 ].
% 32.93/33.14 exact (zenon_H105 zenon_H104).
% 32.93/33.14 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H1c6 ].
% 32.93/33.14 cut (((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) = ((op1 (e11) (e10)) = (op1 (e11) (e11)))).
% 32.93/33.14 intro zenon_D_pnotp.
% 32.93/33.14 apply zenon_Hac.
% 32.93/33.14 rewrite <- zenon_D_pnotp.
% 32.93/33.14 exact zenon_H93.
% 32.93/33.14 cut (((op1 (op1 (e13) (e13)) (op1 (e13) (e13))) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H8f].
% 32.93/33.14 cut (((e10) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1c8].
% 32.93/33.14 congruence.
% 32.93/33.14 elim (classic ((op1 (e11) (e10)) = (op1 (e11) (e10)))); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hb0 ].
% 32.93/33.14 cut (((op1 (e11) (e10)) = (op1 (e11) (e10))) = ((e10) = (op1 (e11) (e10)))).
% 32.93/33.14 intro zenon_D_pnotp.
% 32.93/33.14 apply zenon_H1c8.
% 32.93/33.14 rewrite <- zenon_D_pnotp.
% 32.93/33.14 exact zenon_Hb3.
% 32.93/33.14 cut (((op1 (e11) (e10)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_Hb0].
% 32.93/33.14 cut (((op1 (e11) (e10)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H1c9].
% 32.93/33.14 congruence.
% 32.93/33.14 exact (zenon_H1c9 zenon_H1c7).
% 32.93/33.14 apply zenon_Hb0. apply refl_equal.
% 32.93/33.14 apply zenon_Hb0. apply refl_equal.
% 32.93/33.14 apply (zenon_L26_); trivial.
% 32.93/33.14 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1b0 | zenon_intro zenon_H1bb ].
% 32.93/33.14 apply (zenon_L81_); trivial.
% 32.93/33.14 apply (zenon_L83_); trivial.
% 32.93/33.14 apply (zenon_L84_); trivial.
% 32.93/33.14 (* end of lemma zenon_L85_ *)
% 32.93/33.14 assert (zenon_L86_ : (((~((op1 (e10) (op1 (e10) (e10))) = (op1 (e10) (e10))))/\((~((op1 (e11) (op1 (e10) (e11))) = (op1 (e10) (e11))))/\((~((op1 (e12) (op1 (e10) (e12))) = (op1 (e10) (e12))))/\(~((op1 (e13) (op1 (e10) (e13))) = (op1 (e10) (e13)))))))\/(((~((op1 (e10) (op1 (e11) (e10))) = (op1 (e11) (e10))))/\((~((op1 (e11) (op1 (e11) (e11))) = (op1 (e11) (e11))))/\((~((op1 (e12) (op1 (e11) (e12))) = (op1 (e11) (e12))))/\(~((op1 (e13) (op1 (e11) (e13))) = (op1 (e11) (e13)))))))\/(((~((op1 (e10) (op1 (e12) (e10))) = (op1 (e12) (e10))))/\((~((op1 (e11) (op1 (e12) (e11))) = (op1 (e12) (e11))))/\((~((op1 (e12) (op1 (e12) (e12))) = (op1 (e12) (e12))))/\(~((op1 (e13) (op1 (e12) (e13))) = (op1 (e12) (e13)))))))\/((~((op1 (e10) (op1 (e13) (e10))) = (op1 (e13) (e10))))/\((~((op1 (e11) (op1 (e13) (e11))) = (op1 (e13) (e11))))/\((~((op1 (e12) (op1 (e13) (e12))) = (op1 (e13) (e12))))/\(~((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e13)))))))))) -> (~((op1 (e13) (e11)) = (op1 (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 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11))) -> ((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((e11) = (e13))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> ((op2 (e20) (e20)) = (e20)) -> ((h4 (e10)) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> (~((h4 (op1 (e10) (e10))) = (op2 (h4 (e10)) (h4 (e10))))) -> ((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((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)))) -> ((e12) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> False).
% 32.93/33.14 do 0 intro. intros zenon_H1ca zenon_Hd3 zenon_He8 zenon_Hdf zenon_He5 zenon_H175 zenon_H168 zenon_H174 zenon_H139 zenon_H161 zenon_H153 zenon_H14e zenon_H160 zenon_H145 zenon_H173 zenon_Hf9 zenon_Hb1 zenon_He4 zenon_He9 zenon_H140 zenon_H1a0 zenon_H198 zenon_H195 zenon_H15f zenon_He6 zenon_Hd7 zenon_H179 zenon_H18a zenon_H186 zenon_H19f zenon_Hb9 zenon_Hc3 zenon_Hc7 zenon_Hcd zenon_H16e zenon_H171 zenon_H19e zenon_Hfd zenon_H1cb zenon_H14 zenon_H108 zenon_H1a zenon_H10b zenon_H172 zenon_Hac zenon_H93 zenon_Ha7 zenon_Ha1 zenon_H9a zenon_H130 zenon_H12c zenon_H126 zenon_H128 zenon_H11d zenon_H132 zenon_H1a9 zenon_H1b6 zenon_H92 zenon_H1c4 zenon_H90 zenon_H1bf zenon_H1c3.
% 32.93/33.14 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfc | zenon_intro zenon_H1cc ].
% 32.93/33.14 apply (zenon_L46_); trivial.
% 32.93/33.14 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1cd ].
% 32.93/33.14 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_H1d0. zenon_intro zenon_H1cf.
% 32.93/33.14 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1d2. zenon_intro zenon_H1d1.
% 32.93/33.14 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H156. zenon_intro zenon_H1d3.
% 32.93/33.14 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H104 | zenon_intro zenon_H103 ].
% 32.93/33.14 apply (zenon_L48_); trivial.
% 32.93/33.14 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Hae | zenon_intro zenon_H106 ].
% 32.93/33.14 apply (zenon_L32_); trivial.
% 32.93/33.14 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hdd | zenon_intro zenon_Hfa ].
% 32.93/33.14 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H105 | zenon_intro zenon_H104 ].
% 32.93/33.14 apply (zenon_L66_); trivial.
% 32.93/33.14 apply (zenon_L48_); trivial.
% 32.93/33.14 apply (zenon_L45_); trivial.
% 32.93/33.14 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H19d | zenon_intro zenon_H1d4 ].
% 32.93/33.14 apply (zenon_L77_); trivial.
% 32.93/33.14 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_H1d6. zenon_intro zenon_H1d5.
% 32.93/33.14 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1d8. zenon_intro zenon_H1d7.
% 32.93/33.14 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1af. zenon_intro zenon_H1d9.
% 32.93/33.14 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H105 | zenon_intro zenon_H104 ].
% 32.93/33.14 apply (zenon_L85_); trivial.
% 32.93/33.14 apply (zenon_L48_); trivial.
% 32.93/33.14 (* end of lemma zenon_L86_ *)
% 32.93/33.14 assert (zenon_L87_ : (~((e23) = (e23))) -> False).
% 32.93/33.14 do 0 intro. intros zenon_H1da.
% 32.93/33.14 apply zenon_H1da. apply refl_equal.
% 32.93/33.14 (* end of lemma zenon_L87_ *)
% 32.93/33.14 assert (zenon_L88_ : (~((op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) = (op2 (e23) (e20)))) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> False).
% 32.93/33.14 do 0 intro. intros zenon_H1db zenon_H1a.
% 32.93/33.14 cut (((op2 (op2 (e23) (e23)) (op2 (e23) (e23))) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H109].
% 32.93/33.14 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1da].
% 32.93/33.14 congruence.
% 32.93/33.14 apply zenon_H1da. apply refl_equal.
% 32.93/33.14 apply zenon_H109. apply sym_equal. exact zenon_H1a.
% 32.93/33.14 (* end of lemma zenon_L88_ *)
% 32.93/33.14 assert (zenon_L89_ : (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((op2 (e20) (e20)) = (e22)) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> False).
% 32.93/33.14 do 0 intro. intros zenon_H1dc zenon_H1dd zenon_H1de zenon_H1a.
% 32.93/33.14 cut (((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) = ((op2 (e20) (e20)) = (op2 (e23) (e20)))).
% 32.93/33.14 intro zenon_D_pnotp.
% 32.93/33.14 apply zenon_H1dc.
% 32.93/33.14 rewrite <- zenon_D_pnotp.
% 32.93/33.14 exact zenon_H1dd.
% 32.93/33.14 cut (((op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1db].
% 32.93/33.14 cut (((e22) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1df].
% 32.93/33.14 congruence.
% 32.93/33.14 elim (classic ((op2 (e20) (e20)) = (op2 (e20) (e20)))); [ zenon_intro zenon_H1e0 | zenon_intro zenon_H1e1 ].
% 32.93/33.14 cut (((op2 (e20) (e20)) = (op2 (e20) (e20))) = ((e22) = (op2 (e20) (e20)))).
% 32.93/33.14 intro zenon_D_pnotp.
% 32.93/33.14 apply zenon_H1df.
% 32.93/33.14 rewrite <- zenon_D_pnotp.
% 32.93/33.14 exact zenon_H1e0.
% 32.93/33.14 cut (((op2 (e20) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1e1].
% 32.93/33.14 cut (((op2 (e20) (e20)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1e2].
% 32.93/33.14 congruence.
% 32.93/33.14 exact (zenon_H1e2 zenon_H1de).
% 32.93/33.14 apply zenon_H1e1. apply refl_equal.
% 32.93/33.14 apply zenon_H1e1. apply refl_equal.
% 32.93/33.14 apply (zenon_L88_); trivial.
% 32.93/33.14 (* end of lemma zenon_L89_ *)
% 32.93/33.14 assert (zenon_L90_ : (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((op2 (e21) (e20)) = (e22)) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> False).
% 32.93/33.14 do 0 intro. intros zenon_H1e3 zenon_H1dd zenon_H1e4 zenon_H1a.
% 32.93/33.14 cut (((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) = ((op2 (e21) (e20)) = (op2 (e23) (e20)))).
% 32.93/33.14 intro zenon_D_pnotp.
% 32.93/33.14 apply zenon_H1e3.
% 32.93/33.14 rewrite <- zenon_D_pnotp.
% 32.93/33.14 exact zenon_H1dd.
% 32.93/33.14 cut (((op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1db].
% 32.93/33.14 cut (((e22) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1e5].
% 32.93/33.14 congruence.
% 32.93/33.14 elim (classic ((op2 (e21) (e20)) = (op2 (e21) (e20)))); [ zenon_intro zenon_H3a | zenon_intro zenon_H37 ].
% 32.93/33.14 cut (((op2 (e21) (e20)) = (op2 (e21) (e20))) = ((e22) = (op2 (e21) (e20)))).
% 32.93/33.14 intro zenon_D_pnotp.
% 32.93/33.14 apply zenon_H1e5.
% 32.93/33.14 rewrite <- zenon_D_pnotp.
% 32.93/33.14 exact zenon_H3a.
% 32.93/33.14 cut (((op2 (e21) (e20)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H37].
% 32.93/33.14 cut (((op2 (e21) (e20)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1e6].
% 32.93/33.14 congruence.
% 32.93/33.14 exact (zenon_H1e6 zenon_H1e4).
% 32.93/33.14 apply zenon_H37. apply refl_equal.
% 32.93/33.14 apply zenon_H37. apply refl_equal.
% 32.93/33.14 apply (zenon_L88_); trivial.
% 32.93/33.14 (* end of lemma zenon_L90_ *)
% 32.93/33.14 assert (zenon_L91_ : (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((op2 (e22) (e20)) = (e22)) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> False).
% 32.93/33.14 do 0 intro. intros zenon_H1e7 zenon_H1dd zenon_H1e8 zenon_H1a.
% 32.93/33.14 cut (((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) = ((op2 (e22) (e20)) = (op2 (e23) (e20)))).
% 32.93/33.14 intro zenon_D_pnotp.
% 32.93/33.14 apply zenon_H1e7.
% 32.93/33.14 rewrite <- zenon_D_pnotp.
% 32.93/33.14 exact zenon_H1dd.
% 32.93/33.14 cut (((op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1db].
% 32.93/33.14 cut (((e22) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1e9].
% 32.93/33.14 congruence.
% 32.93/33.14 elim (classic ((op2 (e22) (e20)) = (op2 (e22) (e20)))); [ zenon_intro zenon_H41 | zenon_intro zenon_H42 ].
% 32.93/33.14 cut (((op2 (e22) (e20)) = (op2 (e22) (e20))) = ((e22) = (op2 (e22) (e20)))).
% 32.93/33.14 intro zenon_D_pnotp.
% 32.93/33.14 apply zenon_H1e9.
% 32.93/33.14 rewrite <- zenon_D_pnotp.
% 32.93/33.14 exact zenon_H41.
% 32.93/33.14 cut (((op2 (e22) (e20)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H42].
% 32.93/33.14 cut (((op2 (e22) (e20)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1ea].
% 32.93/33.14 congruence.
% 32.93/33.14 exact (zenon_H1ea zenon_H1e8).
% 32.93/33.15 apply zenon_H42. apply refl_equal.
% 32.93/33.15 apply zenon_H42. apply refl_equal.
% 32.93/33.15 apply (zenon_L88_); trivial.
% 32.93/33.15 (* end of lemma zenon_L91_ *)
% 32.93/33.15 assert (zenon_L92_ : ((op2 (e22) (e22)) = (e22)) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> False).
% 32.93/33.15 do 0 intro. intros zenon_H68 zenon_H1eb zenon_H1ec.
% 32.93/33.15 elim (classic ((op2 (e22) (e22)) = (op2 (e22) (e22)))); [ zenon_intro zenon_H6b | zenon_intro zenon_H6c ].
% 32.93/33.15 cut (((op2 (e22) (e22)) = (op2 (e22) (e22))) = ((op2 (e21) (e22)) = (op2 (e22) (e22)))).
% 32.93/33.15 intro zenon_D_pnotp.
% 32.93/33.15 apply zenon_H1ec.
% 32.93/33.15 rewrite <- zenon_D_pnotp.
% 32.93/33.15 exact zenon_H6b.
% 32.93/33.15 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H6c].
% 32.93/33.15 cut (((op2 (e22) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H1ed].
% 32.93/33.15 congruence.
% 32.93/33.15 cut (((op2 (e22) (e22)) = (e22)) = ((op2 (e22) (e22)) = (op2 (e21) (e22)))).
% 32.93/33.15 intro zenon_D_pnotp.
% 32.93/33.15 apply zenon_H1ed.
% 32.93/33.15 rewrite <- zenon_D_pnotp.
% 32.93/33.15 exact zenon_H68.
% 32.93/33.15 cut (((e22) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H1ee].
% 32.93/33.15 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H6c].
% 32.93/33.15 congruence.
% 32.93/33.15 apply zenon_H6c. apply refl_equal.
% 32.93/33.15 apply zenon_H1ee. apply sym_equal. exact zenon_H1eb.
% 32.93/33.15 apply zenon_H6c. apply refl_equal.
% 32.93/33.15 apply zenon_H6c. apply refl_equal.
% 32.93/33.15 (* end of lemma zenon_L92_ *)
% 32.93/33.15 assert (zenon_L93_ : (~((op2 (e22) (e22)) = (op2 (e20) (e21)))) -> ((op2 (e22) (e22)) = (e22)) -> ((op2 (e20) (e21)) = (e22)) -> False).
% 32.93/33.15 do 0 intro. intros zenon_H1ef zenon_H68 zenon_H1f0.
% 32.93/33.15 cut (((op2 (e22) (e22)) = (e22)) = ((op2 (e22) (e22)) = (op2 (e20) (e21)))).
% 32.93/33.15 intro zenon_D_pnotp.
% 32.93/33.15 apply zenon_H1ef.
% 32.93/33.15 rewrite <- zenon_D_pnotp.
% 32.93/33.15 exact zenon_H68.
% 32.93/33.15 cut (((e22) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H1f1].
% 32.93/33.15 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H6c].
% 32.93/33.15 congruence.
% 32.93/33.15 apply zenon_H6c. apply refl_equal.
% 32.93/33.15 apply zenon_H1f1. apply sym_equal. exact zenon_H1f0.
% 32.93/33.15 (* end of lemma zenon_L93_ *)
% 32.93/33.15 assert (zenon_L94_ : (~((op2 (e22) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e20) (e21)) = (e22)) -> ((op2 (e22) (e22)) = (e22)) -> ((op2 (e21) (e23)) = (e22)) -> False).
% 32.93/33.15 do 0 intro. intros zenon_H1f2 zenon_H1f0 zenon_H68 zenon_H1f3.
% 32.93/33.15 cut (((op2 (e20) (e21)) = (e22)) = ((op2 (e22) (e22)) = (op2 (e21) (e23)))).
% 32.93/33.15 intro zenon_D_pnotp.
% 32.93/33.15 apply zenon_H1f2.
% 32.93/33.15 rewrite <- zenon_D_pnotp.
% 32.93/33.15 exact zenon_H1f0.
% 32.93/33.15 cut (((e22) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1f4].
% 32.93/33.15 cut (((op2 (e20) (e21)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H1f5].
% 32.93/33.15 congruence.
% 32.93/33.15 elim (classic ((op2 (e22) (e22)) = (op2 (e22) (e22)))); [ zenon_intro zenon_H6b | zenon_intro zenon_H6c ].
% 32.93/33.15 cut (((op2 (e22) (e22)) = (op2 (e22) (e22))) = ((op2 (e20) (e21)) = (op2 (e22) (e22)))).
% 32.93/33.15 intro zenon_D_pnotp.
% 32.93/33.15 apply zenon_H1f5.
% 32.93/33.15 rewrite <- zenon_D_pnotp.
% 32.93/33.15 exact zenon_H6b.
% 32.93/33.15 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H6c].
% 32.93/33.15 cut (((op2 (e22) (e22)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H1ef].
% 32.93/33.15 congruence.
% 32.93/33.15 apply (zenon_L93_); trivial.
% 32.93/33.15 apply zenon_H6c. apply refl_equal.
% 32.93/33.15 apply zenon_H6c. apply refl_equal.
% 32.93/33.15 apply zenon_H1f4. apply sym_equal. exact zenon_H1f3.
% 32.93/33.15 (* end of lemma zenon_L94_ *)
% 32.93/33.15 assert (zenon_L95_ : (~((op2 (e22) (e22)) = (op2 (e23) (e20)))) -> ((op2 (e22) (e22)) = (e22)) -> ((op2 (e20) (e21)) = (e22)) -> ((op2 (e21) (e23)) = (e22)) -> ((op2 (e23) (e20)) = (e22)) -> False).
% 32.93/33.15 do 0 intro. intros zenon_H1f6 zenon_H68 zenon_H1f0 zenon_H1f3 zenon_H1f7.
% 32.93/33.15 cut (((op2 (e21) (e23)) = (e22)) = ((op2 (e22) (e22)) = (op2 (e23) (e20)))).
% 32.93/33.15 intro zenon_D_pnotp.
% 32.93/33.15 apply zenon_H1f6.
% 32.93/33.15 rewrite <- zenon_D_pnotp.
% 32.93/33.15 exact zenon_H1f3.
% 32.93/33.15 cut (((e22) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1f8].
% 32.93/33.15 cut (((op2 (e21) (e23)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H1f9].
% 32.93/33.15 congruence.
% 32.93/33.15 elim (classic ((op2 (e22) (e22)) = (op2 (e22) (e22)))); [ zenon_intro zenon_H6b | zenon_intro zenon_H6c ].
% 32.93/33.15 cut (((op2 (e22) (e22)) = (op2 (e22) (e22))) = ((op2 (e21) (e23)) = (op2 (e22) (e22)))).
% 32.93/33.15 intro zenon_D_pnotp.
% 32.93/33.15 apply zenon_H1f9.
% 32.93/33.15 rewrite <- zenon_D_pnotp.
% 32.93/33.15 exact zenon_H6b.
% 32.93/33.15 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H6c].
% 32.93/33.15 cut (((op2 (e22) (e22)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1f2].
% 32.93/33.15 congruence.
% 32.93/33.15 apply (zenon_L94_); trivial.
% 32.93/33.15 apply zenon_H6c. apply refl_equal.
% 32.93/33.15 apply zenon_H6c. apply refl_equal.
% 32.93/33.15 apply zenon_H1f8. apply sym_equal. exact zenon_H1f7.
% 32.93/33.15 (* end of lemma zenon_L95_ *)
% 32.93/33.15 assert (zenon_L96_ : (~((op2 (e22) (e22)) = (e20))) -> ((op2 (e23) (e20)) = (e20)) -> ((op2 (e21) (e23)) = (e22)) -> ((op2 (e20) (e21)) = (e22)) -> ((op2 (e22) (e22)) = (e22)) -> ((op2 (e23) (e20)) = (e22)) -> False).
% 32.93/33.15 do 0 intro. intros zenon_H1fa zenon_H1fb zenon_H1f3 zenon_H1f0 zenon_H68 zenon_H1f7.
% 32.93/33.15 cut (((op2 (e23) (e20)) = (e20)) = ((op2 (e22) (e22)) = (e20))).
% 32.93/33.15 intro zenon_D_pnotp.
% 32.93/33.15 apply zenon_H1fa.
% 32.93/33.15 rewrite <- zenon_D_pnotp.
% 32.93/33.15 exact zenon_H1fb.
% 32.93/33.15 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H12].
% 32.93/33.15 cut (((op2 (e23) (e20)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H1fc].
% 32.93/33.15 congruence.
% 32.93/33.15 elim (classic ((op2 (e22) (e22)) = (op2 (e22) (e22)))); [ zenon_intro zenon_H6b | zenon_intro zenon_H6c ].
% 32.93/33.15 cut (((op2 (e22) (e22)) = (op2 (e22) (e22))) = ((op2 (e23) (e20)) = (op2 (e22) (e22)))).
% 32.93/33.15 intro zenon_D_pnotp.
% 32.93/33.15 apply zenon_H1fc.
% 32.93/33.15 rewrite <- zenon_D_pnotp.
% 32.93/33.15 exact zenon_H6b.
% 32.93/33.15 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H6c].
% 32.93/33.15 cut (((op2 (e22) (e22)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1f6].
% 32.93/33.15 congruence.
% 32.93/33.15 apply (zenon_L95_); trivial.
% 32.93/33.15 apply zenon_H6c. apply refl_equal.
% 32.93/33.15 apply zenon_H6c. apply refl_equal.
% 32.93/33.15 apply zenon_H12. apply refl_equal.
% 32.93/33.15 (* end of lemma zenon_L96_ *)
% 32.93/33.15 assert (zenon_L97_ : (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e20)) -> ((op2 (e23) (e22)) = (e20)) -> False).
% 32.93/33.15 do 0 intro. intros zenon_H1fd zenon_H1fe zenon_H1ff.
% 32.93/33.15 cut (((op2 (e20) (e22)) = (e20)) = ((op2 (e20) (e22)) = (op2 (e23) (e22)))).
% 32.93/33.15 intro zenon_D_pnotp.
% 32.93/33.15 apply zenon_H1fd.
% 32.93/33.15 rewrite <- zenon_D_pnotp.
% 32.93/33.15 exact zenon_H1fe.
% 32.93/33.15 cut (((e20) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H200].
% 32.93/33.15 cut (((op2 (e20) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H5c].
% 32.93/33.15 congruence.
% 32.93/33.15 apply zenon_H5c. apply refl_equal.
% 32.93/33.15 apply zenon_H200. apply sym_equal. exact zenon_H1ff.
% 32.93/33.15 (* end of lemma zenon_L97_ *)
% 32.93/33.15 assert (zenon_L98_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (e23) (e20)) = (e22)) -> ((op2 (e22) (e22)) = (e22)) -> ((op2 (e20) (e21)) = (e22)) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e22) (e22)) = (e20))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((e21) = (op2 (e23) (e23))) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((op2 (e20) (e22)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e23)) = (e20))) -> False).
% 32.93/33.15 do 0 intro. intros zenon_H201 zenon_H1f7 zenon_H68 zenon_H1f0 zenon_H1f3 zenon_H1fa zenon_H28 zenon_H17 zenon_H1a zenon_H1fe zenon_H1fd zenon_H202.
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1fb | zenon_intro zenon_H203 ].
% 32.93/33.15 apply (zenon_L96_); trivial.
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H27 | zenon_intro zenon_H204 ].
% 32.93/33.15 apply (zenon_L6_); trivial.
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1ff | zenon_intro zenon_H205 ].
% 32.93/33.15 apply (zenon_L97_); trivial.
% 32.93/33.15 exact (zenon_H202 zenon_H205).
% 32.93/33.15 (* end of lemma zenon_L98_ *)
% 32.93/33.15 assert (zenon_L99_ : ((op2 (e22) (e22)) = (e22)) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> False).
% 32.93/33.15 do 0 intro. intros zenon_H68 zenon_H206 zenon_H5a.
% 32.93/33.15 elim (classic ((op2 (e22) (e22)) = (op2 (e22) (e22)))); [ zenon_intro zenon_H6b | zenon_intro zenon_H6c ].
% 32.93/33.15 cut (((op2 (e22) (e22)) = (op2 (e22) (e22))) = ((op2 (e20) (e22)) = (op2 (e22) (e22)))).
% 32.93/33.15 intro zenon_D_pnotp.
% 32.93/33.15 apply zenon_H5a.
% 32.93/33.15 rewrite <- zenon_D_pnotp.
% 32.93/33.15 exact zenon_H6b.
% 32.93/33.15 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H6c].
% 32.93/33.15 cut (((op2 (e22) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H207].
% 32.93/33.15 congruence.
% 32.93/33.15 cut (((op2 (e22) (e22)) = (e22)) = ((op2 (e22) (e22)) = (op2 (e20) (e22)))).
% 32.93/33.15 intro zenon_D_pnotp.
% 32.93/33.15 apply zenon_H207.
% 32.93/33.15 rewrite <- zenon_D_pnotp.
% 32.93/33.15 exact zenon_H68.
% 32.93/33.15 cut (((e22) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H208].
% 32.93/33.15 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H6c].
% 32.93/33.15 congruence.
% 32.93/33.15 apply zenon_H6c. apply refl_equal.
% 32.93/33.15 apply zenon_H208. apply sym_equal. exact zenon_H206.
% 32.93/33.15 apply zenon_H6c. apply refl_equal.
% 32.93/33.15 apply zenon_H6c. apply refl_equal.
% 32.93/33.15 (* end of lemma zenon_L99_ *)
% 32.93/33.15 assert (zenon_L100_ : (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> ((op2 (e21) (e23)) = (e22)) -> False).
% 32.93/33.15 do 0 intro. intros zenon_H209 zenon_H20a zenon_H1f3.
% 32.93/33.15 cut (((op2 (e20) (e23)) = (e22)) = ((op2 (e20) (e23)) = (op2 (e21) (e23)))).
% 32.93/33.15 intro zenon_D_pnotp.
% 32.93/33.15 apply zenon_H209.
% 32.93/33.15 rewrite <- zenon_D_pnotp.
% 32.93/33.15 exact zenon_H20a.
% 32.93/33.15 cut (((e22) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1f4].
% 32.93/33.15 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H66].
% 32.93/33.15 congruence.
% 32.93/33.15 apply zenon_H66. apply refl_equal.
% 32.93/33.15 apply zenon_H1f4. apply sym_equal. exact zenon_H1f3.
% 32.93/33.15 (* end of lemma zenon_L100_ *)
% 32.93/33.15 assert (zenon_L101_ : (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e21)) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e22)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> False).
% 32.93/33.15 do 0 intro. intros zenon_H20b zenon_H1a zenon_H1dd zenon_H1e3 zenon_H20c zenon_H1ec zenon_H68 zenon_H209 zenon_H20a.
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H20d ].
% 32.93/33.15 apply (zenon_L90_); trivial.
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H20f | zenon_intro zenon_H20e ].
% 32.93/33.15 exact (zenon_H20c zenon_H20f).
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H1eb | zenon_intro zenon_H1f3 ].
% 32.93/33.15 apply (zenon_L92_); trivial.
% 32.93/33.15 apply (zenon_L100_); trivial.
% 32.93/33.15 (* end of lemma zenon_L101_ *)
% 32.93/33.15 assert (zenon_L102_ : (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e23) (e23)) = (e20))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e20)) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e22)) = (e20))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e21)) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e22)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> False).
% 32.93/33.15 do 0 intro. intros zenon_H210 zenon_H202 zenon_H1fd zenon_H1fe zenon_H17 zenon_H28 zenon_H1fa zenon_H201 zenon_H1e7 zenon_H1dc zenon_H211 zenon_H5a zenon_H20b zenon_H1a zenon_H1dd zenon_H1e3 zenon_H20c zenon_H1ec zenon_H68 zenon_H209.
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_H1de | zenon_intro zenon_H212 ].
% 32.93/33.15 apply (zenon_L89_); trivial.
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H1f0 | zenon_intro zenon_H213 ].
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H1de | zenon_intro zenon_H214 ].
% 32.93/33.15 apply (zenon_L89_); trivial.
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H215 ].
% 32.93/33.15 apply (zenon_L90_); trivial.
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H1f7 ].
% 32.93/33.15 apply (zenon_L91_); trivial.
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H20d ].
% 32.93/33.15 apply (zenon_L90_); trivial.
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H20f | zenon_intro zenon_H20e ].
% 32.93/33.15 exact (zenon_H20c zenon_H20f).
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H1eb | zenon_intro zenon_H1f3 ].
% 32.93/33.15 apply (zenon_L92_); trivial.
% 32.93/33.15 apply (zenon_L98_); trivial.
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H206 | zenon_intro zenon_H20a ].
% 32.93/33.15 apply (zenon_L99_); trivial.
% 32.93/33.15 apply (zenon_L101_); trivial.
% 32.93/33.15 (* end of lemma zenon_L102_ *)
% 32.93/33.15 assert (zenon_L103_ : ((op2 (e21) (e20)) = (e21)) -> ((op2 (e21) (e20)) = (e23)) -> (~((e21) = (e23))) -> False).
% 32.93/33.15 do 0 intro. intros zenon_H34 zenon_H216 zenon_H83.
% 32.93/33.15 elim (classic ((e23) = (e23))); [ zenon_intro zenon_H217 | zenon_intro zenon_H1da ].
% 32.93/33.15 cut (((e23) = (e23)) = ((e21) = (e23))).
% 32.93/33.15 intro zenon_D_pnotp.
% 32.93/33.15 apply zenon_H83.
% 32.93/33.15 rewrite <- zenon_D_pnotp.
% 32.93/33.15 exact zenon_H217.
% 32.93/33.15 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1da].
% 32.93/33.15 cut (((e23) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H218].
% 32.93/33.15 congruence.
% 32.93/33.15 cut (((op2 (e21) (e20)) = (e21)) = ((e23) = (e21))).
% 32.93/33.15 intro zenon_D_pnotp.
% 32.93/33.15 apply zenon_H218.
% 32.93/33.15 rewrite <- zenon_D_pnotp.
% 32.93/33.15 exact zenon_H34.
% 32.93/33.15 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H82].
% 32.93/33.15 cut (((op2 (e21) (e20)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H219].
% 32.93/33.15 congruence.
% 32.93/33.15 exact (zenon_H219 zenon_H216).
% 32.93/33.15 apply zenon_H82. apply refl_equal.
% 32.93/33.15 apply zenon_H1da. apply refl_equal.
% 32.93/33.15 apply zenon_H1da. apply refl_equal.
% 32.93/33.15 (* end of lemma zenon_L103_ *)
% 32.93/33.15 assert (zenon_L104_ : ((op2 (e20) (e23)) = (e20)) -> ((op2 (e20) (e23)) = (e23)) -> (~((e20) = (e23))) -> False).
% 32.93/33.15 do 0 intro. intros zenon_H21a zenon_H21b zenon_H21c.
% 32.93/33.15 elim (classic ((e23) = (e23))); [ zenon_intro zenon_H217 | zenon_intro zenon_H1da ].
% 32.93/33.15 cut (((e23) = (e23)) = ((e20) = (e23))).
% 32.93/33.15 intro zenon_D_pnotp.
% 32.93/33.15 apply zenon_H21c.
% 32.93/33.15 rewrite <- zenon_D_pnotp.
% 32.93/33.15 exact zenon_H217.
% 32.93/33.15 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1da].
% 32.93/33.15 cut (((e23) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H21d].
% 32.93/33.15 congruence.
% 32.93/33.15 cut (((op2 (e20) (e23)) = (e20)) = ((e23) = (e20))).
% 32.93/33.15 intro zenon_D_pnotp.
% 32.93/33.15 apply zenon_H21d.
% 32.93/33.15 rewrite <- zenon_D_pnotp.
% 32.93/33.15 exact zenon_H21a.
% 32.93/33.15 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H12].
% 32.93/33.15 cut (((op2 (e20) (e23)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H21e].
% 32.93/33.15 congruence.
% 32.93/33.15 exact (zenon_H21e zenon_H21b).
% 32.93/33.15 apply zenon_H12. apply refl_equal.
% 32.93/33.15 apply zenon_H1da. apply refl_equal.
% 32.93/33.15 apply zenon_H1da. apply refl_equal.
% 32.93/33.15 (* end of lemma zenon_L104_ *)
% 32.93/33.15 assert (zenon_L105_ : ((op2 (e21) (e23)) = (e22)) -> ((op2 (e21) (e23)) = (e23)) -> (~((e22) = (e23))) -> False).
% 32.93/33.15 do 0 intro. intros zenon_H1f3 zenon_H21f zenon_H220.
% 32.93/33.15 elim (classic ((e23) = (e23))); [ zenon_intro zenon_H217 | zenon_intro zenon_H1da ].
% 32.93/33.15 cut (((e23) = (e23)) = ((e22) = (e23))).
% 32.93/33.15 intro zenon_D_pnotp.
% 32.93/33.15 apply zenon_H220.
% 32.93/33.15 rewrite <- zenon_D_pnotp.
% 32.93/33.15 exact zenon_H217.
% 32.93/33.15 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1da].
% 32.93/33.15 cut (((e23) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H221].
% 32.93/33.15 congruence.
% 32.93/33.15 cut (((op2 (e21) (e23)) = (e22)) = ((e23) = (e22))).
% 32.93/33.15 intro zenon_D_pnotp.
% 32.93/33.15 apply zenon_H221.
% 32.93/33.15 rewrite <- zenon_D_pnotp.
% 32.93/33.15 exact zenon_H1f3.
% 32.93/33.15 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H5d].
% 32.93/33.15 cut (((op2 (e21) (e23)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H222].
% 32.93/33.15 congruence.
% 32.93/33.15 exact (zenon_H222 zenon_H21f).
% 32.93/33.15 apply zenon_H5d. apply refl_equal.
% 32.93/33.15 apply zenon_H1da. apply refl_equal.
% 32.93/33.15 apply zenon_H1da. apply refl_equal.
% 32.93/33.15 (* end of lemma zenon_L105_ *)
% 32.93/33.15 assert (zenon_L106_ : (~((op2 (e22) (op2 (e21) (e22))) = (op2 (e21) (e22)))) -> ((op2 (e22) (e23)) = (e23)) -> ((op2 (e21) (e22)) = (e23)) -> False).
% 32.93/33.15 do 0 intro. intros zenon_H223 zenon_H224 zenon_H225.
% 32.93/33.15 cut (((op2 (e22) (e23)) = (e23)) = ((op2 (e22) (op2 (e21) (e22))) = (op2 (e21) (e22)))).
% 32.93/33.15 intro zenon_D_pnotp.
% 32.93/33.15 apply zenon_H223.
% 32.93/33.15 rewrite <- zenon_D_pnotp.
% 32.93/33.15 exact zenon_H224.
% 32.93/33.15 cut (((e23) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H226].
% 32.93/33.15 cut (((op2 (e22) (e23)) = (op2 (e22) (op2 (e21) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H227].
% 32.93/33.15 congruence.
% 32.93/33.15 elim (classic ((op2 (e22) (op2 (e21) (e22))) = (op2 (e22) (op2 (e21) (e22))))); [ zenon_intro zenon_H228 | zenon_intro zenon_H229 ].
% 32.93/33.15 cut (((op2 (e22) (op2 (e21) (e22))) = (op2 (e22) (op2 (e21) (e22)))) = ((op2 (e22) (e23)) = (op2 (e22) (op2 (e21) (e22))))).
% 32.93/33.15 intro zenon_D_pnotp.
% 32.93/33.15 apply zenon_H227.
% 32.93/33.15 rewrite <- zenon_D_pnotp.
% 32.93/33.15 exact zenon_H228.
% 32.93/33.15 cut (((op2 (e22) (op2 (e21) (e22))) = (op2 (e22) (op2 (e21) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H229].
% 32.93/33.15 cut (((op2 (e22) (op2 (e21) (e22))) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H22a].
% 32.93/33.15 congruence.
% 32.93/33.15 cut (((op2 (e21) (e22)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H22b].
% 32.93/33.15 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H5d].
% 32.93/33.15 congruence.
% 32.93/33.15 apply zenon_H5d. apply refl_equal.
% 32.93/33.15 exact (zenon_H22b zenon_H225).
% 32.93/33.15 apply zenon_H229. apply refl_equal.
% 32.93/33.15 apply zenon_H229. apply refl_equal.
% 32.93/33.15 apply zenon_H226. apply sym_equal. exact zenon_H225.
% 32.93/33.15 (* end of lemma zenon_L106_ *)
% 32.93/33.15 assert (zenon_L107_ : (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e21)) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e22)) = (e22)) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((e21) = (e23))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (e21)) = (e23))) -> (~((op2 (e23) (e23)) = (e23))) -> (~((op2 (e22) (op2 (e21) (e22))) = (op2 (e21) (e22)))) -> ((op2 (e20) (e23)) = (e20)) -> (~((e20) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e22) = (e23))) -> False).
% 32.93/33.15 do 0 intro. intros zenon_H20b zenon_H1a zenon_H1dd zenon_H1e3 zenon_H20c zenon_H1ec zenon_H68 zenon_H22c zenon_H83 zenon_H34 zenon_H22d zenon_H85 zenon_H223 zenon_H21a zenon_H21c zenon_H22e zenon_H220.
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H20d ].
% 32.93/33.15 apply (zenon_L90_); trivial.
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H20f | zenon_intro zenon_H20e ].
% 32.93/33.15 exact (zenon_H20c zenon_H20f).
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H1eb | zenon_intro zenon_H1f3 ].
% 32.93/33.15 apply (zenon_L92_); trivial.
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H216 | zenon_intro zenon_H22f ].
% 32.93/33.15 apply (zenon_L103_); trivial.
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H231 | zenon_intro zenon_H230 ].
% 32.93/33.15 exact (zenon_H22d zenon_H231).
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H225 | zenon_intro zenon_H21f ].
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H21b | zenon_intro zenon_H232 ].
% 32.93/33.15 apply (zenon_L104_); trivial.
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H21f | zenon_intro zenon_H233 ].
% 32.93/33.15 apply (zenon_L105_); trivial.
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H224 | zenon_intro zenon_H84 ].
% 32.93/33.15 apply (zenon_L106_); trivial.
% 32.93/33.15 exact (zenon_H85 zenon_H84).
% 32.93/33.15 apply (zenon_L105_); trivial.
% 32.93/33.15 (* end of lemma zenon_L107_ *)
% 32.93/33.15 assert (zenon_L108_ : (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e20)) = (e23)) -> ((op2 (e23) (e21)) = (e23)) -> False).
% 32.93/33.15 do 0 intro. intros zenon_H234 zenon_H235 zenon_H236.
% 32.93/33.15 cut (((op2 (e23) (e20)) = (e23)) = ((op2 (e23) (e20)) = (op2 (e23) (e21)))).
% 32.93/33.15 intro zenon_D_pnotp.
% 32.93/33.15 apply zenon_H234.
% 32.93/33.15 rewrite <- zenon_D_pnotp.
% 32.93/33.15 exact zenon_H235.
% 32.93/33.15 cut (((e23) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H237].
% 32.93/33.15 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H238].
% 32.93/33.15 congruence.
% 32.93/33.15 apply zenon_H238. apply refl_equal.
% 32.93/33.15 apply zenon_H237. apply sym_equal. exact zenon_H236.
% 32.93/33.15 (* end of lemma zenon_L108_ *)
% 32.93/33.15 assert (zenon_L109_ : ((~((op2 (e23) (e23)) = (e21)))\/((op2 (e23) (e21)) = (e23))) -> ((op2 (e23) (e20)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e21) = (op2 (e23) (e23))) -> False).
% 32.93/33.15 do 0 intro. intros zenon_H239 zenon_H235 zenon_H234 zenon_H17.
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H18 | zenon_intro zenon_H236 ].
% 32.93/33.15 apply zenon_H18. apply sym_equal. exact zenon_H17.
% 32.93/33.15 apply (zenon_L108_); trivial.
% 32.93/33.15 (* end of lemma zenon_L109_ *)
% 32.93/33.15 assert (zenon_L110_ : (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> ((op2 (e21) (e23)) = (e21)) -> False).
% 32.93/33.15 do 0 intro. intros zenon_H23a zenon_H17 zenon_H23b.
% 32.93/33.15 cut (((e21) = (op2 (e23) (e23))) = ((op2 (e21) (e23)) = (op2 (e23) (e23)))).
% 32.93/33.15 intro zenon_D_pnotp.
% 32.93/33.15 apply zenon_H23a.
% 32.93/33.15 rewrite <- zenon_D_pnotp.
% 32.93/33.15 exact zenon_H17.
% 32.93/33.15 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H3c].
% 32.93/33.15 cut (((e21) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H23c].
% 32.93/33.15 congruence.
% 32.93/33.15 elim (classic ((op2 (e21) (e23)) = (op2 (e21) (e23)))); [ zenon_intro zenon_H23d | zenon_intro zenon_H23e ].
% 32.93/33.15 cut (((op2 (e21) (e23)) = (op2 (e21) (e23))) = ((e21) = (op2 (e21) (e23)))).
% 32.93/33.15 intro zenon_D_pnotp.
% 32.93/33.15 apply zenon_H23c.
% 32.93/33.15 rewrite <- zenon_D_pnotp.
% 32.93/33.15 exact zenon_H23d.
% 32.93/33.15 cut (((op2 (e21) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H23e].
% 32.93/33.15 cut (((op2 (e21) (e23)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H23f].
% 32.93/33.15 congruence.
% 32.93/33.15 exact (zenon_H23f zenon_H23b).
% 32.93/33.15 apply zenon_H23e. apply refl_equal.
% 32.93/33.15 apply zenon_H23e. apply refl_equal.
% 32.93/33.15 apply zenon_H3c. apply refl_equal.
% 32.93/33.15 (* end of lemma zenon_L110_ *)
% 32.93/33.15 assert (zenon_L111_ : (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (e20)) = (e21)) -> ((op2 (e21) (e22)) = (e21)) -> False).
% 32.93/33.15 do 0 intro. intros zenon_H240 zenon_H34 zenon_H241.
% 32.93/33.15 cut (((op2 (e21) (e20)) = (e21)) = ((op2 (e21) (e20)) = (op2 (e21) (e22)))).
% 32.93/33.15 intro zenon_D_pnotp.
% 32.93/33.15 apply zenon_H240.
% 32.93/33.15 rewrite <- zenon_D_pnotp.
% 32.93/33.15 exact zenon_H34.
% 32.93/33.15 cut (((e21) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H242].
% 32.93/33.15 cut (((op2 (e21) (e20)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H37].
% 32.93/33.15 congruence.
% 32.93/33.15 apply zenon_H37. apply refl_equal.
% 32.93/33.15 apply zenon_H242. apply sym_equal. exact zenon_H241.
% 32.93/33.15 (* end of lemma zenon_L111_ *)
% 32.93/33.15 assert (zenon_L112_ : ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> ((~((op2 (e21) (e21)) = (e23)))\/((op2 (e21) (e23)) = (e21))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((~((op2 (e23) (e23)) = (e20)))\/((op2 (e23) (e20)) = (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((~((op2 (e23) (e23)) = (e21)))\/((op2 (e23) (e21)) = (e23))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((e20) = (e23))) -> (~((e22) = (e23))) -> (~((op2 (e22) (op2 (e21) (e22))) = (op2 (e21) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e21) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e22)) = (e22)) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (e20))) -> ((~((op2 (e23) (e23)) = (e23)))\/((op2 (e23) (e23)) = (e23))) -> ((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> False).
% 32.93/33.15 do 0 intro. intros zenon_H38 zenon_H243 zenon_H23a zenon_H244 zenon_H234 zenon_H239 zenon_H245 zenon_H22c zenon_H21c zenon_H220 zenon_H223 zenon_H22e zenon_H83 zenon_H1dc zenon_H1dd zenon_H211 zenon_H1ec zenon_H68 zenon_H201 zenon_H1fd zenon_H20b zenon_H1e7 zenon_H1e3 zenon_H5a zenon_H209 zenon_H210 zenon_H15 zenon_H246 zenon_H247 zenon_H240 zenon_H248 zenon_H19 zenon_H1a zenon_H17 zenon_H21 zenon_H28 zenon_H2e.
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H2f | zenon_intro zenon_H34 ].
% 32.93/33.15 apply (zenon_L7_); trivial.
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H20c | zenon_intro zenon_H241 ].
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H22d | zenon_intro zenon_H23b ].
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H1fa | zenon_intro zenon_H1e8 ].
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H202 | zenon_intro zenon_H235 ].
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H85 | zenon_intro zenon_H84 ].
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H14 | zenon_intro zenon_H249 ].
% 32.93/33.15 exact (zenon_H15 zenon_H14).
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H1b | zenon_intro zenon_H24a ].
% 32.93/33.15 apply (zenon_L4_); trivial.
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H1fe | zenon_intro zenon_H21a ].
% 32.93/33.15 apply (zenon_L102_); trivial.
% 32.93/33.15 apply (zenon_L107_); trivial.
% 32.93/33.15 apply (zenon_L23_); trivial.
% 32.93/33.15 apply (zenon_L109_); trivial.
% 32.93/33.15 apply (zenon_L91_); trivial.
% 32.93/33.15 apply (zenon_L110_); trivial.
% 32.93/33.15 apply (zenon_L111_); trivial.
% 32.93/33.15 (* end of lemma zenon_L112_ *)
% 32.93/33.15 assert (zenon_L113_ : (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e20)) = (e20)) -> ((op2 (e20) (e23)) = (e20)) -> False).
% 32.93/33.15 do 0 intro. intros zenon_H24b zenon_H14 zenon_H21a.
% 32.93/33.15 cut (((op2 (e20) (e20)) = (e20)) = ((op2 (e20) (e20)) = (op2 (e20) (e23)))).
% 32.93/33.15 intro zenon_D_pnotp.
% 32.93/33.15 apply zenon_H24b.
% 32.93/33.15 rewrite <- zenon_D_pnotp.
% 32.93/33.15 exact zenon_H14.
% 32.93/33.15 cut (((e20) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H24c].
% 32.93/33.15 cut (((op2 (e20) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1e1].
% 32.93/33.15 congruence.
% 32.93/33.15 apply zenon_H1e1. apply refl_equal.
% 32.93/33.15 apply zenon_H24c. apply sym_equal. exact zenon_H21a.
% 32.93/33.15 (* end of lemma zenon_L113_ *)
% 32.93/33.15 assert (zenon_L114_ : (~((op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) = (op2 (e20) (e21)))) -> ((op2 (e23) (e20)) = (e22)) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((op2 (e20) (e21)) = (e22)) -> False).
% 32.93/33.15 do 0 intro. intros zenon_H24d zenon_H1f7 zenon_H1a zenon_H1f0.
% 32.93/33.15 cut (((op2 (e23) (e20)) = (e22)) = ((op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) = (op2 (e20) (e21)))).
% 32.93/33.15 intro zenon_D_pnotp.
% 32.93/33.15 apply zenon_H24d.
% 32.93/33.15 rewrite <- zenon_D_pnotp.
% 32.93/33.15 exact zenon_H1f7.
% 32.93/33.15 cut (((e22) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H1f1].
% 32.93/33.15 cut (((op2 (e23) (e20)) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))))); [idtac | apply NNPP; zenon_intro zenon_H24e].
% 32.93/33.15 congruence.
% 32.93/33.15 elim (classic ((op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))))); [ zenon_intro zenon_H24f | zenon_intro zenon_H250 ].
% 32.93/33.15 cut (((op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) = ((op2 (e23) (e20)) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))))).
% 32.93/33.15 intro zenon_D_pnotp.
% 32.93/33.15 apply zenon_H24e.
% 32.93/33.15 rewrite <- zenon_D_pnotp.
% 32.93/33.15 exact zenon_H24f.
% 32.93/33.15 cut (((op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))))); [idtac | apply NNPP; zenon_intro zenon_H250].
% 32.93/33.15 cut (((op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1db].
% 32.93/33.15 congruence.
% 32.93/33.15 apply (zenon_L88_); trivial.
% 32.93/33.15 apply zenon_H250. apply refl_equal.
% 32.93/33.15 apply zenon_H250. apply refl_equal.
% 32.93/33.15 apply zenon_H1f1. apply sym_equal. exact zenon_H1f0.
% 32.93/33.15 (* end of lemma zenon_L114_ *)
% 32.93/33.15 assert (zenon_L115_ : ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((op2 (e20) (e23)) = (e22)) -> ((op2 (e23) (e20)) = (e22)) -> ((op2 (e20) (e21)) = (e22)) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 32.93/33.15 do 0 intro. intros zenon_H1dd zenon_H20a zenon_H1f7 zenon_H1f0 zenon_H1a zenon_H251.
% 32.93/33.15 elim (classic ((op2 (e20) (e23)) = (op2 (e20) (e23)))); [ zenon_intro zenon_H65 | zenon_intro zenon_H66 ].
% 32.93/33.15 cut (((op2 (e20) (e23)) = (op2 (e20) (e23))) = ((op2 (e20) (e21)) = (op2 (e20) (e23)))).
% 32.93/33.15 intro zenon_D_pnotp.
% 32.93/33.15 apply zenon_H251.
% 32.93/33.15 rewrite <- zenon_D_pnotp.
% 32.93/33.15 exact zenon_H65.
% 32.93/33.15 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H66].
% 32.93/33.15 cut (((op2 (e20) (e23)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H252].
% 32.93/33.15 congruence.
% 32.93/33.15 cut (((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) = ((op2 (e20) (e23)) = (op2 (e20) (e21)))).
% 32.93/33.15 intro zenon_D_pnotp.
% 32.93/33.15 apply zenon_H252.
% 32.93/33.15 rewrite <- zenon_D_pnotp.
% 32.93/33.15 exact zenon_H1dd.
% 32.93/33.15 cut (((op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H24d].
% 32.93/33.15 cut (((e22) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H253].
% 32.93/33.15 congruence.
% 32.93/33.15 elim (classic ((op2 (e20) (e23)) = (op2 (e20) (e23)))); [ zenon_intro zenon_H65 | zenon_intro zenon_H66 ].
% 32.93/33.15 cut (((op2 (e20) (e23)) = (op2 (e20) (e23))) = ((e22) = (op2 (e20) (e23)))).
% 32.93/33.15 intro zenon_D_pnotp.
% 32.93/33.15 apply zenon_H253.
% 32.93/33.15 rewrite <- zenon_D_pnotp.
% 32.93/33.15 exact zenon_H65.
% 32.93/33.15 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H66].
% 32.93/33.15 cut (((op2 (e20) (e23)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H254].
% 32.93/33.15 congruence.
% 32.93/33.15 exact (zenon_H254 zenon_H20a).
% 32.93/33.15 apply zenon_H66. apply refl_equal.
% 32.93/33.15 apply zenon_H66. apply refl_equal.
% 32.93/33.15 apply (zenon_L114_); trivial.
% 32.93/33.15 apply zenon_H66. apply refl_equal.
% 32.93/33.15 apply zenon_H66. apply refl_equal.
% 32.93/33.15 (* end of lemma zenon_L115_ *)
% 32.93/33.15 assert (zenon_L116_ : (~((op2 (e21) (op2 (e22) (e21))) = (op2 (e22) (e21)))) -> ((op2 (e21) (e22)) = (e22)) -> ((op2 (e22) (e21)) = (e22)) -> False).
% 32.93/33.15 do 0 intro. intros zenon_H255 zenon_H1eb zenon_H69.
% 32.93/33.15 cut (((op2 (e21) (e22)) = (e22)) = ((op2 (e21) (op2 (e22) (e21))) = (op2 (e22) (e21)))).
% 32.93/33.15 intro zenon_D_pnotp.
% 32.93/33.15 apply zenon_H255.
% 32.93/33.15 rewrite <- zenon_D_pnotp.
% 32.93/33.15 exact zenon_H1eb.
% 32.93/33.15 cut (((e22) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H6e].
% 32.93/33.15 cut (((op2 (e21) (e22)) = (op2 (e21) (op2 (e22) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H256].
% 32.93/33.15 congruence.
% 32.93/33.15 elim (classic ((op2 (e21) (op2 (e22) (e21))) = (op2 (e21) (op2 (e22) (e21))))); [ zenon_intro zenon_H257 | zenon_intro zenon_H258 ].
% 32.93/33.15 cut (((op2 (e21) (op2 (e22) (e21))) = (op2 (e21) (op2 (e22) (e21)))) = ((op2 (e21) (e22)) = (op2 (e21) (op2 (e22) (e21))))).
% 32.93/33.15 intro zenon_D_pnotp.
% 32.93/33.15 apply zenon_H256.
% 32.93/33.15 rewrite <- zenon_D_pnotp.
% 32.93/33.15 exact zenon_H257.
% 32.93/33.15 cut (((op2 (e21) (op2 (e22) (e21))) = (op2 (e21) (op2 (e22) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H258].
% 32.93/33.15 cut (((op2 (e21) (op2 (e22) (e21))) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H259].
% 32.93/33.15 congruence.
% 32.93/33.15 cut (((op2 (e22) (e21)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H25a].
% 32.93/33.15 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H82].
% 32.93/33.15 congruence.
% 32.93/33.15 apply zenon_H82. apply refl_equal.
% 32.93/33.15 exact (zenon_H25a zenon_H69).
% 32.93/33.15 apply zenon_H258. apply refl_equal.
% 32.93/33.15 apply zenon_H258. apply refl_equal.
% 32.93/33.15 apply zenon_H6e. apply sym_equal. exact zenon_H69.
% 32.93/33.15 (* end of lemma zenon_L116_ *)
% 32.93/33.15 assert (zenon_L117_ : ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((op2 (e23) (e21)) = (e22)) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> False).
% 32.93/33.15 do 0 intro. intros zenon_H1dd zenon_H25b zenon_H1a zenon_H234.
% 32.93/33.15 elim (classic ((op2 (e23) (e21)) = (op2 (e23) (e21)))); [ zenon_intro zenon_H29 | zenon_intro zenon_H2a ].
% 32.93/33.15 cut (((op2 (e23) (e21)) = (op2 (e23) (e21))) = ((op2 (e23) (e20)) = (op2 (e23) (e21)))).
% 32.93/33.15 intro zenon_D_pnotp.
% 32.93/33.15 apply zenon_H234.
% 32.93/33.15 rewrite <- zenon_D_pnotp.
% 32.93/33.15 exact zenon_H29.
% 32.93/33.15 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2a].
% 32.93/33.15 cut (((op2 (e23) (e21)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H25c].
% 32.93/33.15 congruence.
% 32.93/33.15 cut (((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) = ((op2 (e23) (e21)) = (op2 (e23) (e20)))).
% 32.93/33.15 intro zenon_D_pnotp.
% 32.93/33.15 apply zenon_H25c.
% 32.93/33.15 rewrite <- zenon_D_pnotp.
% 32.93/33.15 exact zenon_H1dd.
% 32.93/33.15 cut (((op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1db].
% 32.93/33.15 cut (((e22) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H25d].
% 32.93/33.15 congruence.
% 32.93/33.15 elim (classic ((op2 (e23) (e21)) = (op2 (e23) (e21)))); [ zenon_intro zenon_H29 | zenon_intro zenon_H2a ].
% 32.93/33.15 cut (((op2 (e23) (e21)) = (op2 (e23) (e21))) = ((e22) = (op2 (e23) (e21)))).
% 32.93/33.15 intro zenon_D_pnotp.
% 32.93/33.15 apply zenon_H25d.
% 32.93/33.15 rewrite <- zenon_D_pnotp.
% 32.93/33.15 exact zenon_H29.
% 32.93/33.15 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2a].
% 32.93/33.15 cut (((op2 (e23) (e21)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H25e].
% 32.93/33.15 congruence.
% 32.93/33.15 exact (zenon_H25e zenon_H25b).
% 32.93/33.15 apply zenon_H2a. apply refl_equal.
% 32.93/33.15 apply zenon_H2a. apply refl_equal.
% 32.93/33.15 apply (zenon_L88_); trivial.
% 32.93/33.15 apply zenon_H2a. apply refl_equal.
% 32.93/33.15 apply zenon_H2a. apply refl_equal.
% 32.93/33.15 (* end of lemma zenon_L117_ *)
% 32.93/33.15 assert (zenon_L118_ : (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e20) (e20)) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((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) (e21)))) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> (~((op2 (e21) (op2 (e22) (e21))) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e21)) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> False).
% 32.93/33.15 do 0 intro. intros zenon_H211 zenon_H1e2 zenon_H1e7 zenon_H20b zenon_H1e3 zenon_H234 zenon_H1a zenon_H1dd zenon_H255 zenon_H20c zenon_H251 zenon_H25f zenon_H209 zenon_H20a.
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H1de | zenon_intro zenon_H214 ].
% 32.93/33.15 exact (zenon_H1e2 zenon_H1de).
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H215 ].
% 32.93/33.15 apply (zenon_L90_); trivial.
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H1f7 ].
% 32.93/33.15 apply (zenon_L91_); trivial.
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H20d ].
% 32.93/33.15 apply (zenon_L90_); trivial.
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H20f | zenon_intro zenon_H20e ].
% 32.93/33.15 exact (zenon_H20c zenon_H20f).
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H1eb | zenon_intro zenon_H1f3 ].
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H1f0 | zenon_intro zenon_H260 ].
% 32.93/33.15 apply (zenon_L115_); trivial.
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H20f | zenon_intro zenon_H261 ].
% 32.93/33.15 exact (zenon_H20c zenon_H20f).
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H69 | zenon_intro zenon_H25b ].
% 32.93/33.15 apply (zenon_L116_); trivial.
% 32.93/33.15 apply (zenon_L117_); trivial.
% 32.93/33.15 apply (zenon_L100_); trivial.
% 32.93/33.15 (* end of lemma zenon_L118_ *)
% 32.93/33.15 assert (zenon_L119_ : (~((op2 (op2 (e23) (e23)) (op2 (e23) (e23))) = (op2 (e20) (e20)))) -> ((op2 (e21) (e21)) = (e20)) -> ((e21) = (op2 (e23) (e23))) -> ((op2 (e20) (e20)) = (e20)) -> False).
% 32.93/33.15 do 0 intro. intros zenon_H262 zenon_H32 zenon_H17 zenon_H14.
% 32.93/33.15 cut (((op2 (e21) (e21)) = (e20)) = ((op2 (op2 (e23) (e23)) (op2 (e23) (e23))) = (op2 (e20) (e20)))).
% 32.93/33.15 intro zenon_D_pnotp.
% 32.93/33.15 apply zenon_H262.
% 32.93/33.15 rewrite <- zenon_D_pnotp.
% 32.93/33.15 exact zenon_H32.
% 32.93/33.15 cut (((e20) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H263].
% 32.93/33.15 cut (((op2 (e21) (e21)) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H264].
% 32.93/33.15 congruence.
% 32.93/33.15 elim (classic ((op2 (op2 (e23) (e23)) (op2 (e23) (e23))) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))); [ zenon_intro zenon_H265 | zenon_intro zenon_H266 ].
% 32.93/33.15 cut (((op2 (op2 (e23) (e23)) (op2 (e23) (e23))) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) = ((op2 (e21) (e21)) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))).
% 32.93/33.15 intro zenon_D_pnotp.
% 32.93/33.15 apply zenon_H264.
% 32.93/33.15 rewrite <- zenon_D_pnotp.
% 32.93/33.15 exact zenon_H265.
% 32.93/33.15 cut (((op2 (op2 (e23) (e23)) (op2 (e23) (e23))) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H266].
% 32.93/33.15 cut (((op2 (op2 (e23) (e23)) (op2 (e23) (e23))) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H16].
% 32.93/33.15 congruence.
% 32.93/33.15 apply (zenon_L3_); trivial.
% 32.93/33.15 apply zenon_H266. apply refl_equal.
% 32.93/33.15 apply zenon_H266. apply refl_equal.
% 32.93/33.15 apply zenon_H263. apply sym_equal. exact zenon_H14.
% 32.93/33.15 (* end of lemma zenon_L119_ *)
% 32.93/33.15 assert (zenon_L120_ : ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((op2 (e22) (e20)) = (e20)) -> ((op2 (e21) (e21)) = (e20)) -> ((op2 (e20) (e20)) = (e20)) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> False).
% 32.93/33.15 do 0 intro. intros zenon_H1a zenon_H267 zenon_H32 zenon_H14 zenon_H17 zenon_H268.
% 32.93/33.15 elim (classic ((op2 (e22) (e20)) = (op2 (e22) (e20)))); [ zenon_intro zenon_H41 | zenon_intro zenon_H42 ].
% 32.93/33.15 cut (((op2 (e22) (e20)) = (op2 (e22) (e20))) = ((op2 (e20) (e20)) = (op2 (e22) (e20)))).
% 32.93/33.15 intro zenon_D_pnotp.
% 32.93/33.15 apply zenon_H268.
% 32.93/33.15 rewrite <- zenon_D_pnotp.
% 32.93/33.15 exact zenon_H41.
% 32.93/33.15 cut (((op2 (e22) (e20)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H42].
% 32.93/33.15 cut (((op2 (e22) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H269].
% 32.93/33.15 congruence.
% 32.93/33.15 cut (((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) = ((op2 (e22) (e20)) = (op2 (e20) (e20)))).
% 32.93/33.15 intro zenon_D_pnotp.
% 32.93/33.15 apply zenon_H269.
% 32.93/33.15 rewrite <- zenon_D_pnotp.
% 32.93/33.15 exact zenon_H1a.
% 32.93/33.15 cut (((op2 (op2 (e23) (e23)) (op2 (e23) (e23))) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H262].
% 32.93/33.15 cut (((e20) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H26a].
% 32.93/33.15 congruence.
% 32.93/33.15 elim (classic ((op2 (e22) (e20)) = (op2 (e22) (e20)))); [ zenon_intro zenon_H41 | zenon_intro zenon_H42 ].
% 32.93/33.15 cut (((op2 (e22) (e20)) = (op2 (e22) (e20))) = ((e20) = (op2 (e22) (e20)))).
% 32.93/33.15 intro zenon_D_pnotp.
% 32.93/33.15 apply zenon_H26a.
% 32.93/33.15 rewrite <- zenon_D_pnotp.
% 32.93/33.15 exact zenon_H41.
% 32.93/33.15 cut (((op2 (e22) (e20)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H42].
% 32.93/33.15 cut (((op2 (e22) (e20)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H26b].
% 32.93/33.15 congruence.
% 32.93/33.15 exact (zenon_H26b zenon_H267).
% 32.93/33.15 apply zenon_H42. apply refl_equal.
% 32.93/33.15 apply zenon_H42. apply refl_equal.
% 32.93/33.15 apply (zenon_L119_); trivial.
% 32.93/33.15 apply zenon_H42. apply refl_equal.
% 32.93/33.15 apply zenon_H42. apply refl_equal.
% 32.93/33.15 (* end of lemma zenon_L120_ *)
% 32.93/33.15 assert (zenon_L121_ : (~((op2 (e20) (op2 (e22) (e20))) = (op2 (e22) (e20)))) -> ((op2 (e20) (e23)) = (e23)) -> ((op2 (e22) (e20)) = (e23)) -> False).
% 32.93/33.15 do 0 intro. intros zenon_H26c zenon_H21b zenon_H26d.
% 32.93/33.15 cut (((op2 (e20) (e23)) = (e23)) = ((op2 (e20) (op2 (e22) (e20))) = (op2 (e22) (e20)))).
% 32.93/33.15 intro zenon_D_pnotp.
% 32.93/33.15 apply zenon_H26c.
% 32.93/33.15 rewrite <- zenon_D_pnotp.
% 32.93/33.15 exact zenon_H21b.
% 32.93/33.15 cut (((e23) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H26e].
% 32.93/33.15 cut (((op2 (e20) (e23)) = (op2 (e20) (op2 (e22) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H26f].
% 32.93/33.15 congruence.
% 32.93/33.15 elim (classic ((op2 (e20) (op2 (e22) (e20))) = (op2 (e20) (op2 (e22) (e20))))); [ zenon_intro zenon_H270 | zenon_intro zenon_H271 ].
% 32.93/33.15 cut (((op2 (e20) (op2 (e22) (e20))) = (op2 (e20) (op2 (e22) (e20)))) = ((op2 (e20) (e23)) = (op2 (e20) (op2 (e22) (e20))))).
% 32.93/33.15 intro zenon_D_pnotp.
% 32.93/33.15 apply zenon_H26f.
% 32.93/33.15 rewrite <- zenon_D_pnotp.
% 32.93/33.15 exact zenon_H270.
% 32.93/33.15 cut (((op2 (e20) (op2 (e22) (e20))) = (op2 (e20) (op2 (e22) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H271].
% 32.93/33.15 cut (((op2 (e20) (op2 (e22) (e20))) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H272].
% 32.93/33.15 congruence.
% 32.93/33.15 cut (((op2 (e22) (e20)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H273].
% 32.93/33.15 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H12].
% 32.93/33.15 congruence.
% 32.93/33.15 apply zenon_H12. apply refl_equal.
% 32.93/33.15 exact (zenon_H273 zenon_H26d).
% 32.93/33.15 apply zenon_H271. apply refl_equal.
% 32.93/33.15 apply zenon_H271. apply refl_equal.
% 32.93/33.15 apply zenon_H26e. apply sym_equal. exact zenon_H26d.
% 32.93/33.15 (* end of lemma zenon_L121_ *)
% 32.93/33.15 assert (zenon_L122_ : (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (e20)) = (e21)) -> ((e21) = (op2 (e23) (e23))) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (op2 (e22) (e20))) = (op2 (e22) (e20)))) -> ((op2 (e20) (e23)) = (e23)) -> False).
% 32.93/33.15 do 0 intro. intros zenon_H274 zenon_H268 zenon_H14 zenon_H32 zenon_H40 zenon_H34 zenon_H17 zenon_H1a zenon_H1dd zenon_H1e7 zenon_H26c zenon_H21b.
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H267 | zenon_intro zenon_H275 ].
% 32.93/33.15 apply (zenon_L120_); trivial.
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H275); [ zenon_intro zenon_H3f | zenon_intro zenon_H276 ].
% 32.93/33.15 apply (zenon_L11_); trivial.
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H26d ].
% 32.93/33.15 apply (zenon_L91_); trivial.
% 32.93/33.15 apply (zenon_L121_); trivial.
% 32.93/33.15 (* end of lemma zenon_L122_ *)
% 32.93/33.15 assert (zenon_L123_ : (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e23)) = (e23)) -> (~((op2 (e20) (op2 (e22) (e20))) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> False).
% 32.93/33.15 do 0 intro. intros zenon_H2e zenon_H19 zenon_H21b zenon_H26c zenon_H1e7 zenon_H1dd zenon_H34 zenon_H40 zenon_H14 zenon_H268 zenon_H274 zenon_H21 zenon_H1a zenon_H17 zenon_H28.
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H1b | zenon_intro zenon_H30 ].
% 32.93/33.15 apply (zenon_L4_); trivial.
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H32 | zenon_intro zenon_H31 ].
% 32.93/33.15 apply (zenon_L122_); trivial.
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H31); [ zenon_intro zenon_H20 | zenon_intro zenon_H27 ].
% 32.93/33.15 apply (zenon_L5_); trivial.
% 32.93/33.15 apply (zenon_L6_); trivial.
% 32.93/33.15 (* end of lemma zenon_L123_ *)
% 32.93/33.15 assert (zenon_L124_ : (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> ((op2 (e20) (e20)) = (e20)) -> ((op2 (e20) (e22)) = (e20)) -> False).
% 32.93/33.15 do 0 intro. intros zenon_H277 zenon_H14 zenon_H1fe.
% 32.93/33.15 cut (((op2 (e20) (e20)) = (e20)) = ((op2 (e20) (e20)) = (op2 (e20) (e22)))).
% 32.93/33.15 intro zenon_D_pnotp.
% 32.93/33.15 apply zenon_H277.
% 32.93/33.15 rewrite <- zenon_D_pnotp.
% 32.93/33.15 exact zenon_H14.
% 32.93/33.15 cut (((e20) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H278].
% 32.93/33.15 cut (((op2 (e20) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1e1].
% 32.93/33.15 congruence.
% 32.93/33.15 apply zenon_H1e1. apply refl_equal.
% 32.93/33.15 apply zenon_H278. apply sym_equal. exact zenon_H1fe.
% 32.93/33.15 (* end of lemma zenon_L124_ *)
% 32.93/33.15 assert (zenon_L125_ : ((~((op2 (e20) (e20)) = (e22)))\/((op2 (e20) (e22)) = (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((e21) = (op2 (e23) (e23))) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (op2 (e22) (e21))) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (op2 (e22) (e20))) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> False).
% 32.93/33.15 do 0 intro. intros zenon_H279 zenon_H277 zenon_H2e zenon_H28 zenon_H21 zenon_H17 zenon_H1a zenon_H19 zenon_H248 zenon_H240 zenon_H24b zenon_H14 zenon_H62 zenon_H211 zenon_H25f zenon_H234 zenon_H255 zenon_H251 zenon_H209 zenon_H20b zenon_H1e7 zenon_H1dd zenon_H1e3 zenon_H268 zenon_H40 zenon_H26c zenon_H274 zenon_H27a zenon_H38.
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H1fe ].
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H2f | zenon_intro zenon_H34 ].
% 32.93/33.15 apply (zenon_L7_); trivial.
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H20c | zenon_intro zenon_H241 ].
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H21a | zenon_intro zenon_H27b ].
% 32.93/33.15 apply (zenon_L113_); trivial.
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H63 | zenon_intro zenon_H27c ].
% 32.93/33.15 apply (zenon_L19_); trivial.
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H27c); [ zenon_intro zenon_H20a | zenon_intro zenon_H21b ].
% 32.93/33.15 apply (zenon_L118_); trivial.
% 32.93/33.15 apply (zenon_L123_); trivial.
% 32.93/33.15 apply (zenon_L111_); trivial.
% 32.93/33.15 apply (zenon_L124_); trivial.
% 32.93/33.15 (* end of lemma zenon_L125_ *)
% 32.93/33.15 assert (zenon_L126_ : (~((op2 (e22) (op2 (e22) (e22))) = (op2 (e22) (e22)))) -> ((op2 (e22) (e22)) = (e22)) -> False).
% 32.93/33.15 do 0 intro. intros zenon_H27d zenon_H68.
% 32.93/33.15 cut (((op2 (e22) (e22)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H27e].
% 32.93/33.15 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H5d].
% 32.93/33.15 congruence.
% 32.93/33.15 apply zenon_H5d. apply refl_equal.
% 32.93/33.15 exact (zenon_H27e zenon_H68).
% 32.93/33.15 (* end of lemma zenon_L126_ *)
% 32.93/33.15 assert (zenon_L127_ : ((~((op2 (e20) (op2 (e22) (e20))) = (op2 (e22) (e20))))/\((~((op2 (e21) (op2 (e22) (e21))) = (op2 (e22) (e21))))/\((~((op2 (e22) (op2 (e22) (e22))) = (op2 (e22) (e22))))/\(~((op2 (e23) (op2 (e22) (e23))) = (op2 (e22) (e23))))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> ((~((op2 (e20) (e20)) = (e22)))\/((op2 (e20) (e22)) = (e20))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> (~((e21) = (e23))) -> ((e21) = (op2 (e23) (e23))) -> False).
% 32.93/33.15 do 0 intro. intros zenon_H27f zenon_H87 zenon_H27a zenon_H274 zenon_H40 zenon_H268 zenon_H1e3 zenon_H1dd zenon_H1e7 zenon_H20b zenon_H209 zenon_H251 zenon_H234 zenon_H25f zenon_H211 zenon_H62 zenon_H24b zenon_H240 zenon_H248 zenon_H277 zenon_H279 zenon_H2e zenon_H28 zenon_H21 zenon_H1a zenon_H19 zenon_H33 zenon_H38 zenon_H83 zenon_H17.
% 32.93/33.15 apply (zenon_and_s _ _ zenon_H27f). zenon_intro zenon_H26c. zenon_intro zenon_H280.
% 32.93/33.15 apply (zenon_and_s _ _ zenon_H280). zenon_intro zenon_H255. zenon_intro zenon_H281.
% 32.93/33.15 apply (zenon_and_s _ _ zenon_H281). zenon_intro zenon_H27d. zenon_intro zenon_H282.
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H14 | zenon_intro zenon_H8c ].
% 32.93/33.15 apply (zenon_L125_); trivial.
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H35 | zenon_intro zenon_H8d ].
% 32.93/33.15 apply (zenon_L9_); trivial.
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H68 | zenon_intro zenon_H84 ].
% 32.93/33.15 apply (zenon_L126_); trivial.
% 32.93/33.15 apply (zenon_L23_); trivial.
% 32.93/33.15 (* end of lemma zenon_L127_ *)
% 32.93/33.15 assert (zenon_L128_ : (~((op2 (e20) (op2 (e23) (e20))) = (op2 (e20) (e22)))) -> ((op2 (e23) (e20)) = (e22)) -> False).
% 32.93/33.15 do 0 intro. intros zenon_H283 zenon_H1f7.
% 32.93/33.15 cut (((op2 (e23) (e20)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H284].
% 32.93/33.15 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H12].
% 32.93/33.15 congruence.
% 32.93/33.15 apply zenon_H12. apply refl_equal.
% 32.93/33.15 exact (zenon_H284 zenon_H1f7).
% 32.93/33.15 (* end of lemma zenon_L128_ *)
% 32.93/33.15 assert (zenon_L129_ : (~((op2 (e20) (op2 (e23) (e20))) = (op2 (e23) (e20)))) -> ((op2 (e20) (e22)) = (e20)) -> ((op2 (e23) (e20)) = (e22)) -> ((op2 (e23) (e20)) = (e20)) -> False).
% 32.93/33.15 do 0 intro. intros zenon_H285 zenon_H1fe zenon_H1f7 zenon_H1fb.
% 32.93/33.15 cut (((op2 (e20) (e22)) = (e20)) = ((op2 (e20) (op2 (e23) (e20))) = (op2 (e23) (e20)))).
% 32.93/33.15 intro zenon_D_pnotp.
% 32.93/33.15 apply zenon_H285.
% 32.93/33.15 rewrite <- zenon_D_pnotp.
% 32.93/33.15 exact zenon_H1fe.
% 32.93/33.15 cut (((e20) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H286].
% 32.93/33.15 cut (((op2 (e20) (e22)) = (op2 (e20) (op2 (e23) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H287].
% 32.93/33.15 congruence.
% 32.93/33.15 elim (classic ((op2 (e20) (op2 (e23) (e20))) = (op2 (e20) (op2 (e23) (e20))))); [ zenon_intro zenon_H288 | zenon_intro zenon_H289 ].
% 32.93/33.15 cut (((op2 (e20) (op2 (e23) (e20))) = (op2 (e20) (op2 (e23) (e20)))) = ((op2 (e20) (e22)) = (op2 (e20) (op2 (e23) (e20))))).
% 32.93/33.15 intro zenon_D_pnotp.
% 32.93/33.15 apply zenon_H287.
% 32.93/33.15 rewrite <- zenon_D_pnotp.
% 32.93/33.15 exact zenon_H288.
% 32.93/33.15 cut (((op2 (e20) (op2 (e23) (e20))) = (op2 (e20) (op2 (e23) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H289].
% 32.93/33.15 cut (((op2 (e20) (op2 (e23) (e20))) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H283].
% 32.93/33.15 congruence.
% 32.93/33.15 apply (zenon_L128_); trivial.
% 32.93/33.15 apply zenon_H289. apply refl_equal.
% 32.93/33.15 apply zenon_H289. apply refl_equal.
% 32.93/33.15 apply zenon_H286. apply sym_equal. exact zenon_H1fb.
% 32.93/33.15 (* end of lemma zenon_L129_ *)
% 32.93/33.15 assert (zenon_L130_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (e23) (e20)) = (e22)) -> (~((op2 (e20) (op2 (e23) (e20))) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((e21) = (op2 (e23) (e23))) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((op2 (e20) (e22)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e23)) = (e20))) -> False).
% 32.93/33.15 do 0 intro. intros zenon_H201 zenon_H1f7 zenon_H285 zenon_H28 zenon_H17 zenon_H1a zenon_H1fe zenon_H1fd zenon_H202.
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1fb | zenon_intro zenon_H203 ].
% 32.93/33.15 apply (zenon_L129_); trivial.
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H27 | zenon_intro zenon_H204 ].
% 32.93/33.15 apply (zenon_L6_); trivial.
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1ff | zenon_intro zenon_H205 ].
% 32.93/33.15 apply (zenon_L97_); trivial.
% 32.93/33.15 exact (zenon_H202 zenon_H205).
% 32.93/33.15 (* end of lemma zenon_L130_ *)
% 32.93/33.15 assert (zenon_L131_ : ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((op2 (e21) (e22)) = (e20)) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> False).
% 32.93/33.15 do 0 intro. intros zenon_H1a zenon_H28a zenon_H17 zenon_H28b.
% 32.93/33.15 elim (classic ((op2 (e21) (e22)) = (op2 (e21) (e22)))); [ zenon_intro zenon_H28c | zenon_intro zenon_H28d ].
% 32.93/33.15 cut (((op2 (e21) (e22)) = (op2 (e21) (e22))) = ((op2 (e21) (e21)) = (op2 (e21) (e22)))).
% 32.93/33.15 intro zenon_D_pnotp.
% 32.93/33.15 apply zenon_H28b.
% 32.93/33.15 rewrite <- zenon_D_pnotp.
% 32.93/33.15 exact zenon_H28c.
% 32.93/33.15 cut (((op2 (e21) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H28d].
% 32.93/33.15 cut (((op2 (e21) (e22)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H28e].
% 32.93/33.15 congruence.
% 32.93/33.15 cut (((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) = ((op2 (e21) (e22)) = (op2 (e21) (e21)))).
% 32.93/33.15 intro zenon_D_pnotp.
% 32.93/33.15 apply zenon_H28e.
% 32.93/33.15 rewrite <- zenon_D_pnotp.
% 32.93/33.15 exact zenon_H1a.
% 32.93/33.15 cut (((op2 (op2 (e23) (e23)) (op2 (e23) (e23))) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H16].
% 32.93/33.15 cut (((e20) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H28f].
% 32.93/33.15 congruence.
% 32.93/33.15 elim (classic ((op2 (e21) (e22)) = (op2 (e21) (e22)))); [ zenon_intro zenon_H28c | zenon_intro zenon_H28d ].
% 32.93/33.15 cut (((op2 (e21) (e22)) = (op2 (e21) (e22))) = ((e20) = (op2 (e21) (e22)))).
% 32.93/33.15 intro zenon_D_pnotp.
% 32.93/33.15 apply zenon_H28f.
% 32.93/33.15 rewrite <- zenon_D_pnotp.
% 32.93/33.15 exact zenon_H28c.
% 32.93/33.15 cut (((op2 (e21) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H28d].
% 32.93/33.15 cut (((op2 (e21) (e22)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H290].
% 32.93/33.15 congruence.
% 32.93/33.15 exact (zenon_H290 zenon_H28a).
% 32.93/33.15 apply zenon_H28d. apply refl_equal.
% 32.93/33.15 apply zenon_H28d. apply refl_equal.
% 32.93/33.15 apply (zenon_L3_); trivial.
% 32.93/33.15 apply zenon_H28d. apply refl_equal.
% 32.93/33.15 apply zenon_H28d. apply refl_equal.
% 32.93/33.15 (* end of lemma zenon_L131_ *)
% 32.93/33.15 assert (zenon_L132_ : (~((op2 (e22) (op2 (e23) (e22))) = (op2 (e22) (e20)))) -> ((op2 (e23) (e22)) = (e20)) -> False).
% 32.93/33.15 do 0 intro. intros zenon_H291 zenon_H1ff.
% 32.93/33.15 cut (((op2 (e23) (e22)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H292].
% 32.93/33.15 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H5d].
% 32.93/33.15 congruence.
% 32.93/33.15 apply zenon_H5d. apply refl_equal.
% 32.93/33.15 exact (zenon_H292 zenon_H1ff).
% 32.93/33.15 (* end of lemma zenon_L132_ *)
% 32.93/33.15 assert (zenon_L133_ : (~((op2 (e22) (op2 (e23) (e22))) = (op2 (e23) (e22)))) -> ((op2 (e22) (e20)) = (e20)) -> ((op2 (e23) (e22)) = (e20)) -> False).
% 32.93/33.15 do 0 intro. intros zenon_H293 zenon_H267 zenon_H1ff.
% 32.93/33.15 cut (((op2 (e22) (e20)) = (e20)) = ((op2 (e22) (op2 (e23) (e22))) = (op2 (e23) (e22)))).
% 32.93/33.15 intro zenon_D_pnotp.
% 32.93/33.15 apply zenon_H293.
% 32.93/33.15 rewrite <- zenon_D_pnotp.
% 32.93/33.15 exact zenon_H267.
% 32.93/33.15 cut (((e20) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H200].
% 32.93/33.15 cut (((op2 (e22) (e20)) = (op2 (e22) (op2 (e23) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H294].
% 32.93/33.15 congruence.
% 32.93/33.15 elim (classic ((op2 (e22) (op2 (e23) (e22))) = (op2 (e22) (op2 (e23) (e22))))); [ zenon_intro zenon_H295 | zenon_intro zenon_H296 ].
% 32.93/33.15 cut (((op2 (e22) (op2 (e23) (e22))) = (op2 (e22) (op2 (e23) (e22)))) = ((op2 (e22) (e20)) = (op2 (e22) (op2 (e23) (e22))))).
% 32.93/33.15 intro zenon_D_pnotp.
% 32.93/33.15 apply zenon_H294.
% 32.93/33.15 rewrite <- zenon_D_pnotp.
% 32.93/33.15 exact zenon_H295.
% 32.93/33.15 cut (((op2 (e22) (op2 (e23) (e22))) = (op2 (e22) (op2 (e23) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H296].
% 32.93/33.15 cut (((op2 (e22) (op2 (e23) (e22))) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H291].
% 32.93/33.15 congruence.
% 32.93/33.15 apply (zenon_L132_); trivial.
% 32.93/33.15 apply zenon_H296. apply refl_equal.
% 32.93/33.15 apply zenon_H296. apply refl_equal.
% 32.93/33.15 apply zenon_H200. apply sym_equal. exact zenon_H1ff.
% 32.93/33.15 (* end of lemma zenon_L133_ *)
% 32.93/33.15 assert (zenon_L134_ : (((op2 (e20) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e22)) = (e20))))) -> (~((op2 (e23) (e23)) = (e20))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (op2 (e23) (e20))) = (op2 (e23) (e20)))) -> ((op2 (e23) (e20)) = (e22)) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> ((e21) = (op2 (e23) (e23))) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (e20))) -> (~((op2 (e22) (op2 (e23) (e22))) = (op2 (e23) (e22)))) -> ((op2 (e22) (e20)) = (e20)) -> False).
% 32.93/33.15 do 0 intro. intros zenon_H297 zenon_H202 zenon_H1fd zenon_H28 zenon_H285 zenon_H1f7 zenon_H201 zenon_H28b zenon_H17 zenon_H1a zenon_H1fa zenon_H293 zenon_H267.
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H297); [ zenon_intro zenon_H1fe | zenon_intro zenon_H298 ].
% 32.93/33.15 apply (zenon_L130_); trivial.
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H298); [ zenon_intro zenon_H28a | zenon_intro zenon_H299 ].
% 32.93/33.15 apply (zenon_L131_); trivial.
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H29a | zenon_intro zenon_H1ff ].
% 32.93/33.15 exact (zenon_H1fa zenon_H29a).
% 32.93/33.15 apply (zenon_L133_); trivial.
% 32.93/33.15 (* end of lemma zenon_L134_ *)
% 32.93/33.15 assert (zenon_L135_ : (~((op2 (op2 (e23) (e23)) (op2 (e23) (e23))) = (op2 (e22) (e23)))) -> ((op2 (e21) (e21)) = (e20)) -> ((e21) = (op2 (e23) (e23))) -> ((op2 (e22) (e23)) = (e20)) -> False).
% 32.93/33.15 do 0 intro. intros zenon_H29b zenon_H32 zenon_H17 zenon_H29c.
% 32.93/33.15 cut (((op2 (e21) (e21)) = (e20)) = ((op2 (op2 (e23) (e23)) (op2 (e23) (e23))) = (op2 (e22) (e23)))).
% 32.93/33.15 intro zenon_D_pnotp.
% 32.93/33.15 apply zenon_H29b.
% 32.93/33.15 rewrite <- zenon_D_pnotp.
% 32.93/33.15 exact zenon_H32.
% 32.93/33.15 cut (((e20) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H29d].
% 32.93/33.15 cut (((op2 (e21) (e21)) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H264].
% 32.93/33.15 congruence.
% 32.93/33.15 elim (classic ((op2 (op2 (e23) (e23)) (op2 (e23) (e23))) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))); [ zenon_intro zenon_H265 | zenon_intro zenon_H266 ].
% 32.93/33.15 cut (((op2 (op2 (e23) (e23)) (op2 (e23) (e23))) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) = ((op2 (e21) (e21)) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))).
% 32.93/33.15 intro zenon_D_pnotp.
% 32.93/33.15 apply zenon_H264.
% 32.93/33.15 rewrite <- zenon_D_pnotp.
% 32.93/33.15 exact zenon_H265.
% 32.93/33.15 cut (((op2 (op2 (e23) (e23)) (op2 (e23) (e23))) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H266].
% 32.93/33.15 cut (((op2 (op2 (e23) (e23)) (op2 (e23) (e23))) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H16].
% 32.93/33.15 congruence.
% 32.93/33.15 apply (zenon_L3_); trivial.
% 32.93/33.15 apply zenon_H266. apply refl_equal.
% 32.93/33.15 apply zenon_H266. apply refl_equal.
% 32.93/33.15 apply zenon_H29d. apply sym_equal. exact zenon_H29c.
% 32.93/33.15 (* end of lemma zenon_L135_ *)
% 32.93/33.15 assert (zenon_L136_ : ((~((op2 (e23) (e23)) = (e20)))\/((op2 (e23) (e20)) = (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((~((op2 (e23) (e23)) = (e21)))\/((op2 (e23) (e21)) = (e23))) -> (~((op2 (e20) (e20)) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e22)) = (e20))))) -> (~((op2 (e22) (op2 (e23) (e22))) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (e20))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (op2 (e23) (e20))) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e20)) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> False).
% 32.93/33.15 do 0 intro. intros zenon_H244 zenon_H234 zenon_H239 zenon_H1e2 zenon_H1e3 zenon_H1dd zenon_H1a zenon_H1e7 zenon_H2e zenon_H297 zenon_H293 zenon_H1fa zenon_H28b zenon_H285 zenon_H28 zenon_H1fd zenon_H201 zenon_H21 zenon_H29e zenon_H21a zenon_H29f zenon_H17 zenon_H19 zenon_H211.
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H202 | zenon_intro zenon_H235 ].
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H1de | zenon_intro zenon_H214 ].
% 32.93/33.15 exact (zenon_H1e2 zenon_H1de).
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H215 ].
% 32.93/33.15 apply (zenon_L90_); trivial.
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H1f7 ].
% 32.93/33.15 apply (zenon_L91_); trivial.
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H1b | zenon_intro zenon_H30 ].
% 32.93/33.15 apply (zenon_L4_); trivial.
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H32 | zenon_intro zenon_H31 ].
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H267 | zenon_intro zenon_H2a0 ].
% 32.93/33.15 apply (zenon_L134_); trivial.
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H20 | zenon_intro zenon_H2a1 ].
% 32.93/33.15 apply (zenon_L5_); trivial.
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H29a | zenon_intro zenon_H29c ].
% 32.93/33.15 exact (zenon_H1fa zenon_H29a).
% 32.93/33.15 cut (((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) = ((op2 (e20) (e23)) = (op2 (e22) (e23)))).
% 32.93/33.15 intro zenon_D_pnotp.
% 32.93/33.15 apply zenon_H29e.
% 32.93/33.15 rewrite <- zenon_D_pnotp.
% 32.93/33.15 exact zenon_H1a.
% 32.93/33.15 cut (((op2 (op2 (e23) (e23)) (op2 (e23) (e23))) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H29b].
% 32.93/33.15 cut (((e20) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H24c].
% 32.93/33.15 congruence.
% 32.93/33.15 elim (classic ((op2 (e20) (e23)) = (op2 (e20) (e23)))); [ zenon_intro zenon_H65 | zenon_intro zenon_H66 ].
% 32.93/33.15 cut (((op2 (e20) (e23)) = (op2 (e20) (e23))) = ((e20) = (op2 (e20) (e23)))).
% 32.93/33.15 intro zenon_D_pnotp.
% 32.93/33.15 apply zenon_H24c.
% 32.93/33.15 rewrite <- zenon_D_pnotp.
% 32.93/33.15 exact zenon_H65.
% 32.93/33.15 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H66].
% 32.93/33.15 cut (((op2 (e20) (e23)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H2a2].
% 32.93/33.15 congruence.
% 32.93/33.15 exact (zenon_H2a2 zenon_H21a).
% 32.93/33.15 apply zenon_H66. apply refl_equal.
% 32.93/33.15 apply zenon_H66. apply refl_equal.
% 32.93/33.15 apply (zenon_L135_); trivial.
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H31); [ zenon_intro zenon_H20 | zenon_intro zenon_H27 ].
% 32.93/33.15 apply (zenon_L5_); trivial.
% 32.93/33.15 apply (zenon_L6_); trivial.
% 32.93/33.15 apply (zenon_L109_); trivial.
% 32.93/33.15 (* end of lemma zenon_L136_ *)
% 32.93/33.15 assert (zenon_L137_ : ((~((op2 (e23) (e23)) = (e20)))\/((op2 (e23) (e20)) = (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((~((op2 (e23) (e23)) = (e21)))\/((op2 (e23) (e21)) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e22)) = (e20)) -> (~((op2 (e20) (op2 (e23) (e20))) = (op2 (e23) (e20)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> False).
% 32.93/33.15 do 0 intro. intros zenon_H244 zenon_H234 zenon_H239 zenon_H1dc zenon_H1dd zenon_H1a zenon_H1e3 zenon_H1e7 zenon_H201 zenon_H1fd zenon_H17 zenon_H28 zenon_H1fe zenon_H285 zenon_H211.
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H202 | zenon_intro zenon_H235 ].
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H1de | zenon_intro zenon_H214 ].
% 32.93/33.15 apply (zenon_L89_); trivial.
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H215 ].
% 32.93/33.15 apply (zenon_L90_); trivial.
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H1f7 ].
% 32.93/33.15 apply (zenon_L91_); trivial.
% 32.93/33.15 apply (zenon_L130_); trivial.
% 32.93/33.15 apply (zenon_L109_); trivial.
% 32.93/33.15 (* end of lemma zenon_L137_ *)
% 32.93/33.15 assert (zenon_L138_ : ((~((op2 (e20) (e20)) = (e22)))\/((op2 (e20) (e22)) = (e20))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((e21) = (op2 (e23) (e23))) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (e22) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((~((op2 (e23) (e23)) = (e20)))\/((op2 (e23) (e20)) = (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((~((op2 (e23) (e23)) = (e21)))\/((op2 (e23) (e21)) = (e23))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e22)) = (e20))))) -> (~((op2 (e22) (op2 (e23) (e22))) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (op2 (e23) (e20))) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> ((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> False).
% 32.93/33.15 do 0 intro. intros zenon_H279 zenon_H2e zenon_H28 zenon_H21 zenon_H17 zenon_H1a zenon_H19 zenon_H248 zenon_H240 zenon_H15 zenon_H210 zenon_H209 zenon_H5a zenon_H1e3 zenon_H1e7 zenon_H20b zenon_H1fd zenon_H201 zenon_H68 zenon_H1ec zenon_H211 zenon_H1dd zenon_H1dc zenon_H244 zenon_H234 zenon_H239 zenon_H297 zenon_H293 zenon_H28b zenon_H285 zenon_H29e zenon_H29f zenon_H245 zenon_H247 zenon_H38.
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H1fe ].
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H2f | zenon_intro zenon_H34 ].
% 32.93/33.15 apply (zenon_L7_); trivial.
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H20c | zenon_intro zenon_H241 ].
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H1fa | zenon_intro zenon_H1e8 ].
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H202 | zenon_intro zenon_H235 ].
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H14 | zenon_intro zenon_H249 ].
% 32.93/33.15 exact (zenon_H15 zenon_H14).
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H1b | zenon_intro zenon_H24a ].
% 32.93/33.15 apply (zenon_L4_); trivial.
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H1fe | zenon_intro zenon_H21a ].
% 32.93/33.15 apply (zenon_L102_); trivial.
% 32.93/33.15 apply (zenon_L136_); trivial.
% 32.93/33.15 apply (zenon_L109_); trivial.
% 32.93/33.15 apply (zenon_L91_); trivial.
% 32.93/33.15 apply (zenon_L111_); trivial.
% 32.93/33.15 apply (zenon_L137_); trivial.
% 32.93/33.15 (* end of lemma zenon_L138_ *)
% 32.93/33.15 assert (zenon_L139_ : (~((op2 (e23) (op2 (e23) (e23))) = (op2 (e23) (e23)))) -> ((op2 (e23) (e23)) = (e23)) -> False).
% 32.93/33.15 do 0 intro. intros zenon_H2a3 zenon_H84.
% 32.93/33.15 cut (((op2 (e23) (e23)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H85].
% 32.93/33.15 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1da].
% 32.93/33.15 congruence.
% 32.93/33.15 apply zenon_H1da. apply refl_equal.
% 32.93/33.15 exact (zenon_H85 zenon_H84).
% 32.93/33.15 (* end of lemma zenon_L139_ *)
% 32.93/33.15 assert (zenon_L140_ : (((~((op2 (e20) (op2 (e20) (e20))) = (op2 (e20) (e20))))/\((~((op2 (e21) (op2 (e20) (e21))) = (op2 (e20) (e21))))/\((~((op2 (e22) (op2 (e20) (e22))) = (op2 (e20) (e22))))/\(~((op2 (e23) (op2 (e20) (e23))) = (op2 (e20) (e23)))))))\/(((~((op2 (e20) (op2 (e21) (e20))) = (op2 (e21) (e20))))/\((~((op2 (e21) (op2 (e21) (e21))) = (op2 (e21) (e21))))/\((~((op2 (e22) (op2 (e21) (e22))) = (op2 (e21) (e22))))/\(~((op2 (e23) (op2 (e21) (e23))) = (op2 (e21) (e23)))))))\/(((~((op2 (e20) (op2 (e22) (e20))) = (op2 (e22) (e20))))/\((~((op2 (e21) (op2 (e22) (e21))) = (op2 (e22) (e21))))/\((~((op2 (e22) (op2 (e22) (e22))) = (op2 (e22) (e22))))/\(~((op2 (e23) (op2 (e22) (e23))) = (op2 (e22) (e23)))))))\/((~((op2 (e20) (op2 (e23) (e20))) = (op2 (e23) (e20))))/\((~((op2 (e21) (op2 (e23) (e21))) = (op2 (e23) (e21))))/\((~((op2 (e22) (op2 (e23) (e22))) = (op2 (e23) (e22))))/\(~((op2 (e23) (op2 (e23) (e23))) = (op2 (e23) (e23)))))))))) -> ((~((op2 (e20) (e20)) = (e21)))\/((op2 (e20) (e21)) = (e20))) -> ((~((op2 (e21) (e21)) = (e21)))\/((op2 (e21) (e21)) = (e21))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e23) (e21)) = (op2 (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 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((~((op2 (e22) (e22)) = (e21)))\/((op2 (e22) (e21)) = (e22))) -> ((~((op2 (e23) (e23)) = (e23)))\/((op2 (e23) (e23)) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e22) = (e23))) -> (~((e20) = (e23))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((~((op2 (e21) (e21)) = (e23)))\/((op2 (e21) (e23)) = (e21))) -> (~((e21) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((~((op2 (e20) (e20)) = (e22)))\/((op2 (e20) (e22)) = (e20))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((e21) = (op2 (e23) (e23))) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((~((op2 (e23) (e23)) = (e20)))\/((op2 (e23) (e20)) = (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((~((op2 (e23) (e23)) = (e21)))\/((op2 (e23) (e21)) = (e23))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e22)) = (e20))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> ((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> (((~((op1 (e10) (op1 (e10) (e10))) = (op1 (e10) (e10))))/\((~((op1 (e11) (op1 (e10) (e11))) = (op1 (e10) (e11))))/\((~((op1 (e12) (op1 (e10) (e12))) = (op1 (e10) (e12))))/\(~((op1 (e13) (op1 (e10) (e13))) = (op1 (e10) (e13)))))))\/(((~((op1 (e10) (op1 (e11) (e10))) = (op1 (e11) (e10))))/\((~((op1 (e11) (op1 (e11) (e11))) = (op1 (e11) (e11))))/\((~((op1 (e12) (op1 (e11) (e12))) = (op1 (e11) (e12))))/\(~((op1 (e13) (op1 (e11) (e13))) = (op1 (e11) (e13)))))))\/(((~((op1 (e10) (op1 (e12) (e10))) = (op1 (e12) (e10))))/\((~((op1 (e11) (op1 (e12) (e11))) = (op1 (e12) (e11))))/\((~((op1 (e12) (op1 (e12) (e12))) = (op1 (e12) (e12))))/\(~((op1 (e13) (op1 (e12) (e13))) = (op1 (e12) (e13)))))))\/((~((op1 (e10) (op1 (e13) (e10))) = (op1 (e13) (e10))))/\((~((op1 (e11) (op1 (e13) (e11))) = (op1 (e13) (e11))))/\((~((op1 (e12) (op1 (e13) (e12))) = (op1 (e13) (e12))))/\(~((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e13)))))))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> ((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> ((h4 (e10)) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> (~((h4 (op1 (e10) (e10))) = (op2 (h4 (e10)) (h4 (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((e11) = (e13))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> ((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> ((~((op2 (e20) (e20)) = (e20)))\/((op2 (e20) (e20)) = (e20))) -> False).
% 32.93/33.15 do 0 intro. intros zenon_H2a4 zenon_H6f zenon_H70 zenon_H71 zenon_H5e zenon_H73 zenon_H4a zenon_H4e zenon_H54 zenon_H6a zenon_H74 zenon_H246 zenon_H22e zenon_H220 zenon_H21c zenon_H22c zenon_H23a zenon_H243 zenon_H83 zenon_H277 zenon_H24b zenon_H62 zenon_H25f zenon_H251 zenon_H268 zenon_H40 zenon_H274 zenon_H27a zenon_H87 zenon_H33 zenon_H279 zenon_H2e zenon_H28 zenon_H21 zenon_H17 zenon_H1a zenon_H19 zenon_H248 zenon_H240 zenon_H210 zenon_H209 zenon_H5a zenon_H1e3 zenon_H1e7 zenon_H20b zenon_H1fd zenon_H201 zenon_H1ec zenon_H211 zenon_H1dd zenon_H1dc zenon_H244 zenon_H234 zenon_H239 zenon_H297 zenon_H28b zenon_H29e zenon_H29f zenon_H245 zenon_H247 zenon_H38 zenon_H1ca zenon_H1a9 zenon_H1b6 zenon_H1c4 zenon_H1bf zenon_H1c3 zenon_H19e zenon_H19f zenon_H186 zenon_H18a zenon_H179 zenon_H195 zenon_H198 zenon_H1a0 zenon_H171 zenon_H16e zenon_H172 zenon_H173 zenon_H140 zenon_H145 zenon_H160 zenon_H14e zenon_H153 zenon_H161 zenon_H15f zenon_H130 zenon_H12c zenon_H126 zenon_H128 zenon_H11d zenon_H132 zenon_H139 zenon_H174 zenon_H168 zenon_H175 zenon_H1cb zenon_H108 zenon_H10b zenon_Hfd zenon_Hf9 zenon_He9 zenon_Hdf zenon_Hcd zenon_Hc7 zenon_Hc3 zenon_Hb9 zenon_He8 zenon_Hd3 zenon_Hd7 zenon_He6 zenon_He5 zenon_He4 zenon_Ha7 zenon_Ha1 zenon_H9a zenon_H90 zenon_H93 zenon_H92 zenon_Hac zenon_Hb1 zenon_H2a5.
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H2a4); [ zenon_intro zenon_H86 | zenon_intro zenon_H2a6 ].
% 32.93/33.15 apply (zenon_L24_); trivial.
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H2a6); [ zenon_intro zenon_H2a8 | zenon_intro zenon_H2a7 ].
% 32.93/33.15 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H2aa. zenon_intro zenon_H2a9.
% 32.93/33.15 apply (zenon_and_s _ _ zenon_H2a9). zenon_intro zenon_H2ac. zenon_intro zenon_H2ab.
% 32.93/33.15 apply (zenon_and_s _ _ zenon_H2ab). zenon_intro zenon_H223. zenon_intro zenon_H2ad.
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H14 | zenon_intro zenon_H8c ].
% 32.93/33.15 apply (zenon_L86_); trivial.
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H35 | zenon_intro zenon_H8d ].
% 32.93/33.15 apply (zenon_L9_); trivial.
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H68 | zenon_intro zenon_H84 ].
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_H15 | zenon_intro zenon_H14 ].
% 32.93/33.15 apply (zenon_L112_); trivial.
% 32.93/33.15 apply (zenon_L86_); trivial.
% 32.93/33.15 apply (zenon_L23_); trivial.
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H2a7); [ zenon_intro zenon_H27f | zenon_intro zenon_H2ae ].
% 32.93/33.15 apply (zenon_L127_); trivial.
% 32.93/33.15 apply (zenon_and_s _ _ zenon_H2ae). zenon_intro zenon_H285. zenon_intro zenon_H2af.
% 32.93/33.15 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_H2b1. zenon_intro zenon_H2b0.
% 32.93/33.15 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H293. zenon_intro zenon_H2a3.
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H14 | zenon_intro zenon_H8c ].
% 32.93/33.15 apply (zenon_L86_); trivial.
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H35 | zenon_intro zenon_H8d ].
% 32.93/33.15 apply (zenon_L9_); trivial.
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H68 | zenon_intro zenon_H84 ].
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_H15 | zenon_intro zenon_H14 ].
% 32.93/33.15 apply (zenon_L138_); trivial.
% 32.93/33.15 apply (zenon_L86_); trivial.
% 32.93/33.15 apply (zenon_L139_); trivial.
% 32.93/33.15 (* end of lemma zenon_L140_ *)
% 32.93/33.15 assert (zenon_L141_ : (~((op2 (e20) (op2 (e21) (e20))) = (op2 (e21) (e20)))) -> ((op2 (e20) (e21)) = (e21)) -> ((op2 (e21) (e20)) = (e21)) -> False).
% 32.93/33.15 do 0 intro. intros zenon_H2aa zenon_H4b zenon_H34.
% 32.93/33.15 cut (((op2 (e20) (e21)) = (e21)) = ((op2 (e20) (op2 (e21) (e20))) = (op2 (e21) (e20)))).
% 32.93/33.15 intro zenon_D_pnotp.
% 32.93/33.15 apply zenon_H2aa.
% 32.93/33.15 rewrite <- zenon_D_pnotp.
% 32.93/33.15 exact zenon_H4b.
% 32.93/33.15 cut (((e21) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H3d].
% 32.93/33.15 cut (((op2 (e20) (e21)) = (op2 (e20) (op2 (e21) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H2b2].
% 32.93/33.15 congruence.
% 32.93/33.15 elim (classic ((op2 (e20) (op2 (e21) (e20))) = (op2 (e20) (op2 (e21) (e20))))); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H2b4 ].
% 32.93/33.15 cut (((op2 (e20) (op2 (e21) (e20))) = (op2 (e20) (op2 (e21) (e20)))) = ((op2 (e20) (e21)) = (op2 (e20) (op2 (e21) (e20))))).
% 32.93/33.15 intro zenon_D_pnotp.
% 32.93/33.15 apply zenon_H2b2.
% 32.93/33.15 rewrite <- zenon_D_pnotp.
% 32.93/33.15 exact zenon_H2b3.
% 32.93/33.15 cut (((op2 (e20) (op2 (e21) (e20))) = (op2 (e20) (op2 (e21) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H2b4].
% 32.93/33.15 cut (((op2 (e20) (op2 (e21) (e20))) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2b5].
% 32.93/33.15 congruence.
% 32.93/33.15 cut (((op2 (e21) (e20)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H3e].
% 32.93/33.15 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H12].
% 32.93/33.15 congruence.
% 32.93/33.15 apply zenon_H12. apply refl_equal.
% 32.93/33.15 exact (zenon_H3e zenon_H34).
% 32.93/33.15 apply zenon_H2b4. apply refl_equal.
% 32.93/33.15 apply zenon_H2b4. apply refl_equal.
% 32.93/33.15 apply zenon_H3d. apply sym_equal. exact zenon_H34.
% 32.93/33.15 (* end of lemma zenon_L141_ *)
% 32.93/33.15 assert (zenon_L142_ : (~((op2 (e23) (e23)) = (op2 (e20) (e22)))) -> ((e21) = (op2 (e23) (e23))) -> ((op2 (e21) (e20)) = (e21)) -> ((op2 (e22) (e21)) = (e21)) -> ((op2 (e20) (e22)) = (e21)) -> False).
% 32.93/33.15 do 0 intro. intros zenon_H2b6 zenon_H17 zenon_H34 zenon_H47 zenon_H59.
% 32.93/33.15 cut (((op2 (e22) (e21)) = (e21)) = ((op2 (e23) (e23)) = (op2 (e20) (e22)))).
% 32.93/33.15 intro zenon_D_pnotp.
% 32.93/33.15 apply zenon_H2b6.
% 32.93/33.15 rewrite <- zenon_D_pnotp.
% 32.93/33.15 exact zenon_H47.
% 32.93/33.15 cut (((e21) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H7c].
% 32.93/33.15 cut (((op2 (e22) (e21)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H2b7].
% 32.93/33.15 congruence.
% 32.93/33.15 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H49 | zenon_intro zenon_H3c ].
% 32.93/33.15 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((op2 (e22) (e21)) = (op2 (e23) (e23)))).
% 32.93/33.15 intro zenon_D_pnotp.
% 32.93/33.15 apply zenon_H2b7.
% 32.93/33.15 rewrite <- zenon_D_pnotp.
% 32.93/33.15 exact zenon_H49.
% 32.93/33.15 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H3c].
% 32.93/33.15 cut (((op2 (e23) (e23)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H46].
% 32.93/33.15 congruence.
% 32.93/33.15 apply (zenon_L12_); trivial.
% 32.93/33.15 apply zenon_H3c. apply refl_equal.
% 32.93/33.15 apply zenon_H3c. apply refl_equal.
% 32.93/33.15 apply zenon_H7c. apply sym_equal. exact zenon_H59.
% 32.93/33.15 (* end of lemma zenon_L142_ *)
% 32.93/33.15 assert (zenon_L143_ : ((op2 (e22) (e22)) = (e21)) -> ((op2 (e20) (e22)) = (e21)) -> ((e21) = (op2 (e23) (e23))) -> ((op2 (e21) (e20)) = (e21)) -> ((op2 (e22) (e21)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> False).
% 32.93/33.15 do 0 intro. intros zenon_H58 zenon_H59 zenon_H17 zenon_H34 zenon_H47 zenon_H5a.
% 32.93/33.15 elim (classic ((op2 (e22) (e22)) = (op2 (e22) (e22)))); [ zenon_intro zenon_H6b | zenon_intro zenon_H6c ].
% 32.93/33.15 cut (((op2 (e22) (e22)) = (op2 (e22) (e22))) = ((op2 (e20) (e22)) = (op2 (e22) (e22)))).
% 32.93/33.15 intro zenon_D_pnotp.
% 32.93/33.15 apply zenon_H5a.
% 32.93/33.15 rewrite <- zenon_D_pnotp.
% 32.93/33.15 exact zenon_H6b.
% 32.93/33.15 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H6c].
% 32.93/33.15 cut (((op2 (e22) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H207].
% 32.93/33.15 congruence.
% 32.93/33.15 cut (((e21) = (op2 (e23) (e23))) = ((op2 (e22) (e22)) = (op2 (e20) (e22)))).
% 32.93/33.15 intro zenon_D_pnotp.
% 32.93/33.15 apply zenon_H207.
% 32.93/33.15 rewrite <- zenon_D_pnotp.
% 32.93/33.15 exact zenon_H17.
% 32.93/33.15 cut (((op2 (e23) (e23)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H2b6].
% 32.93/33.15 cut (((e21) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H5b].
% 32.93/33.15 congruence.
% 32.93/33.15 elim (classic ((op2 (e22) (e22)) = (op2 (e22) (e22)))); [ zenon_intro zenon_H6b | zenon_intro zenon_H6c ].
% 32.93/33.15 cut (((op2 (e22) (e22)) = (op2 (e22) (e22))) = ((e21) = (op2 (e22) (e22)))).
% 32.93/33.15 intro zenon_D_pnotp.
% 32.93/33.15 apply zenon_H5b.
% 32.93/33.15 rewrite <- zenon_D_pnotp.
% 32.93/33.15 exact zenon_H6b.
% 32.93/33.15 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H6c].
% 32.93/33.15 cut (((op2 (e22) (e22)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H55].
% 32.93/33.15 congruence.
% 32.93/33.15 exact (zenon_H55 zenon_H58).
% 32.93/33.15 apply zenon_H6c. apply refl_equal.
% 32.93/33.15 apply zenon_H6c. apply refl_equal.
% 32.93/33.15 apply (zenon_L142_); trivial.
% 32.93/33.15 apply zenon_H6c. apply refl_equal.
% 32.93/33.15 apply zenon_H6c. apply refl_equal.
% 32.93/33.15 (* end of lemma zenon_L143_ *)
% 32.93/33.15 assert (zenon_L144_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e20)) = (e21))) -> (~((op2 (e20) (op2 (e21) (e20))) = (op2 (e21) (e20)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (e20))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (e23))) -> (~((op2 (e21) (e21)) = (e21))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> False).
% 32.93/33.15 do 0 intro. intros zenon_H71 zenon_H75 zenon_H2aa zenon_H5e zenon_H2b8 zenon_H1fa zenon_H5a zenon_H34 zenon_H27e zenon_H2b9 zenon_H76 zenon_H54 zenon_H40 zenon_H4a zenon_H4e zenon_H73 zenon_H62 zenon_H17.
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H78 | zenon_intro zenon_H77 ].
% 32.93/33.15 exact (zenon_H75 zenon_H78).
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H4b | zenon_intro zenon_H79 ].
% 32.93/33.15 apply (zenon_L141_); trivial.
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H59 | zenon_intro zenon_H63 ].
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H73); [ zenon_intro zenon_H4b | zenon_intro zenon_H7a ].
% 32.93/33.15 apply (zenon_L16_); trivial.
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H35 | zenon_intro zenon_H7b ].
% 32.93/33.15 exact (zenon_H76 zenon_H35).
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H7b); [ zenon_intro zenon_H47 | zenon_intro zenon_H5f ].
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H2b8); [ zenon_intro zenon_H29a | zenon_intro zenon_H2ba ].
% 32.93/33.15 exact (zenon_H1fa zenon_H29a).
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H58 | zenon_intro zenon_H2bb ].
% 32.93/33.15 apply (zenon_L143_); trivial.
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_H68 | zenon_intro zenon_H2bc ].
% 32.93/33.15 exact (zenon_H27e zenon_H68).
% 32.93/33.15 exact (zenon_H2b9 zenon_H2bc).
% 32.93/33.15 apply (zenon_L18_); trivial.
% 32.93/33.15 apply (zenon_L19_); trivial.
% 32.93/33.15 (* end of lemma zenon_L144_ *)
% 32.93/33.15 assert (zenon_L145_ : ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e20)) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> False).
% 32.93/33.15 do 0 intro. intros zenon_H1a zenon_H2bd zenon_H17 zenon_H2be.
% 32.93/33.15 elim (classic ((op2 (e21) (e23)) = (op2 (e21) (e23)))); [ zenon_intro zenon_H23d | zenon_intro zenon_H23e ].
% 32.93/33.15 cut (((op2 (e21) (e23)) = (op2 (e21) (e23))) = ((op2 (e21) (e21)) = (op2 (e21) (e23)))).
% 32.93/33.15 intro zenon_D_pnotp.
% 32.93/33.15 apply zenon_H2be.
% 32.93/33.15 rewrite <- zenon_D_pnotp.
% 32.93/33.15 exact zenon_H23d.
% 32.93/33.15 cut (((op2 (e21) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H23e].
% 32.93/33.15 cut (((op2 (e21) (e23)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2bf].
% 32.93/33.15 congruence.
% 32.93/33.15 cut (((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) = ((op2 (e21) (e23)) = (op2 (e21) (e21)))).
% 32.93/33.15 intro zenon_D_pnotp.
% 32.93/33.15 apply zenon_H2bf.
% 32.93/33.15 rewrite <- zenon_D_pnotp.
% 32.93/33.15 exact zenon_H1a.
% 32.93/33.15 cut (((op2 (op2 (e23) (e23)) (op2 (e23) (e23))) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H16].
% 32.93/33.15 cut (((e20) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H2c0].
% 32.93/33.15 congruence.
% 32.93/33.15 elim (classic ((op2 (e21) (e23)) = (op2 (e21) (e23)))); [ zenon_intro zenon_H23d | zenon_intro zenon_H23e ].
% 32.93/33.15 cut (((op2 (e21) (e23)) = (op2 (e21) (e23))) = ((e20) = (op2 (e21) (e23)))).
% 32.93/33.15 intro zenon_D_pnotp.
% 32.93/33.15 apply zenon_H2c0.
% 32.93/33.15 rewrite <- zenon_D_pnotp.
% 32.93/33.15 exact zenon_H23d.
% 32.93/33.15 cut (((op2 (e21) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H23e].
% 32.93/33.15 cut (((op2 (e21) (e23)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H2c1].
% 32.93/33.15 congruence.
% 32.93/33.15 exact (zenon_H2c1 zenon_H2bd).
% 32.93/33.15 apply zenon_H23e. apply refl_equal.
% 32.93/33.15 apply zenon_H23e. apply refl_equal.
% 32.93/33.15 apply (zenon_L3_); trivial.
% 32.93/33.15 apply zenon_H23e. apply refl_equal.
% 32.93/33.15 apply zenon_H23e. apply refl_equal.
% 32.93/33.15 (* end of lemma zenon_L145_ *)
% 32.93/33.15 assert (zenon_L146_ : ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((op2 (e22) (e21)) = (e22)) -> ((op2 (e23) (e20)) = (e22)) -> ((op2 (e20) (e21)) = (e22)) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> False).
% 32.93/33.15 do 0 intro. intros zenon_H1dd zenon_H69 zenon_H1f7 zenon_H1f0 zenon_H1a zenon_H4a.
% 32.93/33.15 elim (classic ((op2 (e22) (e21)) = (op2 (e22) (e21)))); [ zenon_intro zenon_H22 | zenon_intro zenon_H23 ].
% 32.93/33.15 cut (((op2 (e22) (e21)) = (op2 (e22) (e21))) = ((op2 (e20) (e21)) = (op2 (e22) (e21)))).
% 32.93/33.15 intro zenon_D_pnotp.
% 32.93/33.15 apply zenon_H4a.
% 32.93/33.15 rewrite <- zenon_D_pnotp.
% 32.93/33.15 exact zenon_H22.
% 32.93/33.15 cut (((op2 (e22) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H23].
% 32.93/33.15 cut (((op2 (e22) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2c2].
% 32.93/33.15 congruence.
% 32.93/33.15 cut (((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) = ((op2 (e22) (e21)) = (op2 (e20) (e21)))).
% 32.93/33.15 intro zenon_D_pnotp.
% 32.93/33.15 apply zenon_H2c2.
% 32.93/33.15 rewrite <- zenon_D_pnotp.
% 32.93/33.15 exact zenon_H1dd.
% 32.93/33.15 cut (((op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H24d].
% 32.93/33.15 cut (((e22) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H6e].
% 32.93/33.15 congruence.
% 32.93/33.15 elim (classic ((op2 (e22) (e21)) = (op2 (e22) (e21)))); [ zenon_intro zenon_H22 | zenon_intro zenon_H23 ].
% 32.93/33.15 cut (((op2 (e22) (e21)) = (op2 (e22) (e21))) = ((e22) = (op2 (e22) (e21)))).
% 32.93/33.15 intro zenon_D_pnotp.
% 32.93/33.15 apply zenon_H6e.
% 32.93/33.15 rewrite <- zenon_D_pnotp.
% 32.93/33.15 exact zenon_H22.
% 32.93/33.15 cut (((op2 (e22) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H23].
% 32.93/33.15 cut (((op2 (e22) (e21)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H25a].
% 32.93/33.15 congruence.
% 32.93/33.15 exact (zenon_H25a zenon_H69).
% 32.93/33.15 apply zenon_H23. apply refl_equal.
% 32.93/33.15 apply zenon_H23. apply refl_equal.
% 32.93/33.15 apply (zenon_L114_); trivial.
% 32.93/33.15 apply zenon_H23. apply refl_equal.
% 32.93/33.15 apply zenon_H23. apply refl_equal.
% 32.93/33.15 (* end of lemma zenon_L146_ *)
% 32.93/33.15 assert (zenon_L147_ : (~((op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) = (op2 (e21) (e23)))) -> ((op2 (e23) (e20)) = (e22)) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e22)) -> False).
% 32.93/33.15 do 0 intro. intros zenon_H2c3 zenon_H1f7 zenon_H1a zenon_H1f3.
% 32.93/33.15 cut (((op2 (e23) (e20)) = (e22)) = ((op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) = (op2 (e21) (e23)))).
% 32.93/33.15 intro zenon_D_pnotp.
% 32.93/33.15 apply zenon_H2c3.
% 32.93/33.15 rewrite <- zenon_D_pnotp.
% 32.93/33.15 exact zenon_H1f7.
% 32.93/33.15 cut (((e22) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1f4].
% 32.93/33.15 cut (((op2 (e23) (e20)) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))))); [idtac | apply NNPP; zenon_intro zenon_H24e].
% 32.93/33.15 congruence.
% 32.93/33.15 elim (classic ((op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))))); [ zenon_intro zenon_H24f | zenon_intro zenon_H250 ].
% 32.93/33.15 cut (((op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) = ((op2 (e23) (e20)) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))))).
% 32.93/33.15 intro zenon_D_pnotp.
% 32.93/33.15 apply zenon_H24e.
% 32.93/33.15 rewrite <- zenon_D_pnotp.
% 32.93/33.15 exact zenon_H24f.
% 32.93/33.15 cut (((op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))))); [idtac | apply NNPP; zenon_intro zenon_H250].
% 32.93/33.15 cut (((op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1db].
% 32.93/33.15 congruence.
% 32.93/33.15 apply (zenon_L88_); trivial.
% 32.93/33.15 apply zenon_H250. apply refl_equal.
% 32.93/33.15 apply zenon_H250. apply refl_equal.
% 32.93/33.15 apply zenon_H1f4. apply sym_equal. exact zenon_H1f3.
% 32.93/33.15 (* end of lemma zenon_L147_ *)
% 32.93/33.15 assert (zenon_L148_ : ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((op2 (e22) (e23)) = (e22)) -> ((op2 (e23) (e20)) = (e22)) -> ((op2 (e21) (e23)) = (e22)) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> False).
% 32.93/33.15 do 0 intro. intros zenon_H1dd zenon_H2c4 zenon_H1f7 zenon_H1f3 zenon_H1a zenon_H2c5.
% 32.93/33.15 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H51 | zenon_intro zenon_H52 ].
% 32.93/33.15 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((op2 (e21) (e23)) = (op2 (e22) (e23)))).
% 32.93/33.15 intro zenon_D_pnotp.
% 32.93/33.15 apply zenon_H2c5.
% 32.93/33.15 rewrite <- zenon_D_pnotp.
% 32.93/33.15 exact zenon_H51.
% 32.93/33.15 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H52].
% 32.93/33.15 cut (((op2 (e22) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H2c6].
% 32.93/33.15 congruence.
% 32.93/33.15 cut (((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) = ((op2 (e22) (e23)) = (op2 (e21) (e23)))).
% 32.93/33.15 intro zenon_D_pnotp.
% 32.93/33.15 apply zenon_H2c6.
% 32.93/33.15 rewrite <- zenon_D_pnotp.
% 32.93/33.15 exact zenon_H1dd.
% 32.93/33.15 cut (((op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H2c3].
% 32.93/33.15 cut (((e22) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H2c7].
% 32.93/33.15 congruence.
% 32.93/33.15 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H51 | zenon_intro zenon_H52 ].
% 32.93/33.15 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((e22) = (op2 (e22) (e23)))).
% 32.93/33.15 intro zenon_D_pnotp.
% 32.93/33.15 apply zenon_H2c7.
% 32.93/33.15 rewrite <- zenon_D_pnotp.
% 32.93/33.15 exact zenon_H51.
% 32.93/33.15 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H52].
% 32.93/33.15 cut (((op2 (e22) (e23)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H2c8].
% 32.93/33.15 congruence.
% 32.93/33.15 exact (zenon_H2c8 zenon_H2c4).
% 32.93/33.15 apply zenon_H52. apply refl_equal.
% 32.93/33.15 apply zenon_H52. apply refl_equal.
% 32.93/33.15 apply (zenon_L147_); trivial.
% 32.93/33.15 apply zenon_H52. apply refl_equal.
% 32.93/33.15 apply zenon_H52. apply refl_equal.
% 32.93/33.15 (* end of lemma zenon_L148_ *)
% 32.93/33.15 assert (zenon_L149_ : (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e20) (e21)) = (e22)) -> (~((op2 (e22) (e22)) = (e22))) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((op2 (e23) (e20)) = (e22)) -> ((op2 (e21) (e23)) = (e22)) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> False).
% 32.93/33.15 do 0 intro. intros zenon_H2c9 zenon_H1e7 zenon_H4a zenon_H1f0 zenon_H27e zenon_H1dd zenon_H1f7 zenon_H1f3 zenon_H1a zenon_H2c5.
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H2ca ].
% 32.93/33.15 apply (zenon_L91_); trivial.
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H69 | zenon_intro zenon_H2cb ].
% 32.93/33.15 apply (zenon_L146_); trivial.
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H68 | zenon_intro zenon_H2c4 ].
% 32.93/33.15 exact (zenon_H27e zenon_H68).
% 32.93/33.15 apply (zenon_L148_); trivial.
% 32.93/33.15 (* end of lemma zenon_L149_ *)
% 32.93/33.15 assert (zenon_L150_ : (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> ((op2 (e21) (e23)) = (e23)) -> False).
% 32.93/33.15 do 0 intro. intros zenon_H209 zenon_H21b zenon_H21f.
% 32.93/33.15 cut (((op2 (e20) (e23)) = (e23)) = ((op2 (e20) (e23)) = (op2 (e21) (e23)))).
% 32.93/33.15 intro zenon_D_pnotp.
% 32.93/33.15 apply zenon_H209.
% 32.93/33.15 rewrite <- zenon_D_pnotp.
% 32.93/33.15 exact zenon_H21b.
% 32.93/33.15 cut (((e23) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H2cc].
% 32.93/33.15 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H66].
% 32.93/33.15 congruence.
% 32.93/33.15 apply zenon_H66. apply refl_equal.
% 32.93/33.15 apply zenon_H2cc. apply sym_equal. exact zenon_H21f.
% 32.93/33.15 (* end of lemma zenon_L150_ *)
% 32.93/33.15 assert (zenon_L151_ : (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((op2 (e23) (e20)) = (e22)) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> (~((op2 (e22) (e22)) = (e22))) -> ((op2 (e20) (e21)) = (e22)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> False).
% 32.93/33.15 do 0 intro. intros zenon_H2cd zenon_H2be zenon_H17 zenon_H23a zenon_H2c5 zenon_H1a zenon_H1f7 zenon_H1dd zenon_H27e zenon_H1f0 zenon_H4a zenon_H1e7 zenon_H2c9 zenon_H209 zenon_H21b.
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H2bd | zenon_intro zenon_H2ce ].
% 32.93/33.15 apply (zenon_L145_); trivial.
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H23b | zenon_intro zenon_H2cf ].
% 32.93/33.15 apply (zenon_L110_); trivial.
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H21f ].
% 32.93/33.15 apply (zenon_L149_); trivial.
% 32.93/33.15 apply (zenon_L150_); trivial.
% 32.93/33.15 (* end of lemma zenon_L151_ *)
% 32.93/33.15 assert (zenon_L152_ : (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e21)) = (e22)) -> ((op2 (e22) (e23)) = (e22)) -> False).
% 32.93/33.15 do 0 intro. intros zenon_H2d0 zenon_H69 zenon_H2c4.
% 32.93/33.15 cut (((op2 (e22) (e21)) = (e22)) = ((op2 (e22) (e21)) = (op2 (e22) (e23)))).
% 32.93/33.15 intro zenon_D_pnotp.
% 32.93/33.15 apply zenon_H2d0.
% 32.93/33.15 rewrite <- zenon_D_pnotp.
% 32.93/33.15 exact zenon_H69.
% 32.93/33.15 cut (((e22) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H2c7].
% 32.93/33.15 cut (((op2 (e22) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H23].
% 32.93/33.15 congruence.
% 32.93/33.15 apply zenon_H23. apply refl_equal.
% 32.93/33.15 apply zenon_H2c7. apply sym_equal. exact zenon_H2c4.
% 32.93/33.15 (* end of lemma zenon_L152_ *)
% 32.93/33.15 assert (zenon_L153_ : ((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22))) -> (~((op2 (e20) (e20)) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e21)) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e20) (e20)) = (e21))) -> (~((op2 (e20) (op2 (e21) (e20))) = (op2 (e21) (e20)))) -> ((op2 (e21) (e20)) = (e21)) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (e20))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> False).
% 32.93/33.15 do 0 intro. intros zenon_H2d1 zenon_H1e2 zenon_H1e3 zenon_H1dd zenon_H1a zenon_H1e7 zenon_H25f zenon_H234 zenon_H2d0 zenon_H20c zenon_H24b zenon_H14 zenon_H251 zenon_H2cd zenon_H209 zenon_H2c5 zenon_H2c9 zenon_H23a zenon_H2be zenon_H27a zenon_H211 zenon_H75 zenon_H2aa zenon_H34 zenon_H73 zenon_H5e zenon_H1fa zenon_H27e zenon_H2b8 zenon_H76 zenon_H40 zenon_H17 zenon_H4a zenon_H5a zenon_H4e zenon_H54 zenon_H62 zenon_H71.
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H2b9 | zenon_intro zenon_H2c4 ].
% 32.93/33.15 apply (zenon_L144_); trivial.
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H1de | zenon_intro zenon_H214 ].
% 32.93/33.15 exact (zenon_H1e2 zenon_H1de).
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H215 ].
% 32.93/33.15 apply (zenon_L90_); trivial.
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H1f7 ].
% 32.93/33.15 apply (zenon_L91_); trivial.
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H1f0 | zenon_intro zenon_H260 ].
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H21a | zenon_intro zenon_H27b ].
% 32.93/33.15 apply (zenon_L113_); trivial.
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H63 | zenon_intro zenon_H27c ].
% 32.93/33.15 apply (zenon_L19_); trivial.
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H27c); [ zenon_intro zenon_H20a | zenon_intro zenon_H21b ].
% 32.93/33.15 apply (zenon_L115_); trivial.
% 32.93/33.15 apply (zenon_L151_); trivial.
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H20f | zenon_intro zenon_H261 ].
% 32.93/33.15 exact (zenon_H20c zenon_H20f).
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H69 | zenon_intro zenon_H25b ].
% 32.93/33.15 apply (zenon_L152_); trivial.
% 32.93/33.15 apply (zenon_L117_); trivial.
% 32.93/33.15 (* end of lemma zenon_L153_ *)
% 32.93/33.15 assert (zenon_L154_ : (~((op1 (e10) (op1 (e11) (e10))) = (op1 (e11) (e10)))) -> ((op1 (e10) (e11)) = (e11)) -> ((op1 (e11) (e10)) = (e11)) -> False).
% 32.93/33.15 do 0 intro. intros zenon_H1d0 zenon_Hc4 zenon_Had.
% 32.93/33.15 cut (((op1 (e10) (e11)) = (e11)) = ((op1 (e10) (op1 (e11) (e10))) = (op1 (e11) (e10)))).
% 32.93/33.15 intro zenon_D_pnotp.
% 32.93/33.15 apply zenon_H1d0.
% 32.93/33.15 rewrite <- zenon_D_pnotp.
% 32.93/33.15 exact zenon_Hc4.
% 32.93/33.15 cut (((e11) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_Hb6].
% 32.93/33.15 cut (((op1 (e10) (e11)) = (op1 (e10) (op1 (e11) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H2d2].
% 32.93/33.15 congruence.
% 32.93/33.15 elim (classic ((op1 (e10) (op1 (e11) (e10))) = (op1 (e10) (op1 (e11) (e10))))); [ zenon_intro zenon_H2d3 | zenon_intro zenon_H2d4 ].
% 32.93/33.15 cut (((op1 (e10) (op1 (e11) (e10))) = (op1 (e10) (op1 (e11) (e10)))) = ((op1 (e10) (e11)) = (op1 (e10) (op1 (e11) (e10))))).
% 32.93/33.15 intro zenon_D_pnotp.
% 32.93/33.15 apply zenon_H2d2.
% 32.93/33.15 rewrite <- zenon_D_pnotp.
% 32.93/33.15 exact zenon_H2d3.
% 32.93/33.15 cut (((op1 (e10) (op1 (e11) (e10))) = (op1 (e10) (op1 (e11) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H2d4].
% 32.93/33.15 cut (((op1 (e10) (op1 (e11) (e10))) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H2d5].
% 32.93/33.15 congruence.
% 32.93/33.15 cut (((op1 (e11) (e10)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_Hb7].
% 32.93/33.15 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H8e].
% 32.93/33.15 congruence.
% 32.93/33.15 apply zenon_H8e. apply refl_equal.
% 32.93/33.15 exact (zenon_Hb7 zenon_Had).
% 32.93/33.15 apply zenon_H2d4. apply refl_equal.
% 32.93/33.15 apply zenon_H2d4. apply refl_equal.
% 32.93/33.15 apply zenon_Hb6. apply sym_equal. exact zenon_Had.
% 32.93/33.15 (* end of lemma zenon_L154_ *)
% 32.93/33.15 assert (zenon_L155_ : (~((op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) = (op1 (e10) (e11)))) -> ((op1 (e13) (e10)) = (e12)) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> ((op1 (e10) (e11)) = (e12)) -> False).
% 32.93/33.15 do 0 intro. intros zenon_H2d6 zenon_H2d7 zenon_H93 zenon_H2d8.
% 32.93/33.15 cut (((op1 (e13) (e10)) = (e12)) = ((op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) = (op1 (e10) (e11)))).
% 32.93/33.15 intro zenon_D_pnotp.
% 32.93/33.15 apply zenon_H2d6.
% 32.93/33.15 rewrite <- zenon_D_pnotp.
% 32.93/33.15 exact zenon_H2d7.
% 32.93/33.15 cut (((e12) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H2d9].
% 32.93/33.15 cut (((op1 (e13) (e10)) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))))); [idtac | apply NNPP; zenon_intro zenon_H2da].
% 32.93/33.15 congruence.
% 32.93/33.15 elim (classic ((op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))))); [ zenon_intro zenon_H2db | zenon_intro zenon_H2dc ].
% 32.93/33.15 cut (((op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) = ((op1 (e13) (e10)) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))))).
% 32.93/33.15 intro zenon_D_pnotp.
% 32.93/33.15 apply zenon_H2da.
% 32.93/33.15 rewrite <- zenon_D_pnotp.
% 32.93/33.15 exact zenon_H2db.
% 32.93/33.15 cut (((op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))))); [idtac | apply NNPP; zenon_intro zenon_H2dc].
% 32.93/33.15 cut (((op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H124].
% 32.93/33.15 congruence.
% 32.93/33.15 apply (zenon_L52_); trivial.
% 32.93/33.15 apply zenon_H2dc. apply refl_equal.
% 32.93/33.15 apply zenon_H2dc. apply refl_equal.
% 32.93/33.15 apply zenon_H2d9. apply sym_equal. exact zenon_H2d8.
% 32.93/33.15 (* end of lemma zenon_L155_ *)
% 32.93/33.15 assert (zenon_L156_ : ((e12) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) -> ((op1 (e12) (e11)) = (e12)) -> ((op1 (e13) (e10)) = (e12)) -> ((op1 (e10) (e11)) = (e12)) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> False).
% 32.93/33.15 do 0 intro. intros zenon_H126 zenon_Hde zenon_H2d7 zenon_H2d8 zenon_H93 zenon_Hc3.
% 32.93/33.15 elim (classic ((op1 (e12) (e11)) = (op1 (e12) (e11)))); [ zenon_intro zenon_H9b | zenon_intro zenon_H9c ].
% 32.93/33.15 cut (((op1 (e12) (e11)) = (op1 (e12) (e11))) = ((op1 (e10) (e11)) = (op1 (e12) (e11)))).
% 32.93/33.15 intro zenon_D_pnotp.
% 32.93/33.15 apply zenon_Hc3.
% 32.93/33.15 rewrite <- zenon_D_pnotp.
% 32.93/33.15 exact zenon_H9b.
% 32.93/33.15 cut (((op1 (e12) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H9c].
% 32.93/33.15 cut (((op1 (e12) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H2dd].
% 32.93/33.15 congruence.
% 32.93/33.15 cut (((e12) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) = ((op1 (e12) (e11)) = (op1 (e10) (e11)))).
% 32.93/33.15 intro zenon_D_pnotp.
% 32.93/33.15 apply zenon_H2dd.
% 32.93/33.15 rewrite <- zenon_D_pnotp.
% 32.93/33.15 exact zenon_H126.
% 32.93/33.15 cut (((op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H2d6].
% 32.93/33.15 cut (((e12) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_He3].
% 32.93/33.15 congruence.
% 32.93/33.15 elim (classic ((op1 (e12) (e11)) = (op1 (e12) (e11)))); [ zenon_intro zenon_H9b | zenon_intro zenon_H9c ].
% 32.93/33.15 cut (((op1 (e12) (e11)) = (op1 (e12) (e11))) = ((e12) = (op1 (e12) (e11)))).
% 32.93/33.15 intro zenon_D_pnotp.
% 32.93/33.15 apply zenon_He3.
% 32.93/33.15 rewrite <- zenon_D_pnotp.
% 32.93/33.15 exact zenon_H9b.
% 32.93/33.15 cut (((op1 (e12) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H9c].
% 32.93/33.15 cut (((op1 (e12) (e11)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H194].
% 32.93/33.15 congruence.
% 32.93/33.15 exact (zenon_H194 zenon_Hde).
% 32.93/33.15 apply zenon_H9c. apply refl_equal.
% 32.93/33.15 apply zenon_H9c. apply refl_equal.
% 32.93/33.15 apply (zenon_L155_); trivial.
% 32.93/33.15 apply zenon_H9c. apply refl_equal.
% 32.93/33.15 apply zenon_H9c. apply refl_equal.
% 32.93/33.15 (* end of lemma zenon_L156_ *)
% 32.93/33.15 assert (zenon_L157_ : (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> ((op1 (e11) (e10)) = (e11)) -> ((op1 (e12) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> ((op1 (e13) (e10)) = (e12)) -> ((op1 (e12) (e11)) = (e12)) -> ((e12) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) -> ((op1 (e13) (e11)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> False).
% 32.93/33.15 do 0 intro. intros zenon_H2de zenon_H92 zenon_H90 zenon_Had zenon_Hc0 zenon_Hc3 zenon_H93 zenon_H2d7 zenon_Hde zenon_H126 zenon_H12d zenon_H179.
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H94 | zenon_intro zenon_H2df ].
% 32.93/33.15 apply (zenon_L27_); trivial.
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H2e0 ].
% 32.93/33.15 apply (zenon_L36_); trivial.
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H2d8 | zenon_intro zenon_H178 ].
% 32.93/33.15 apply (zenon_L156_); trivial.
% 32.93/33.15 apply (zenon_L67_); trivial.
% 32.93/33.15 (* end of lemma zenon_L157_ *)
% 32.93/33.15 assert (zenon_L158_ : (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e11)) = (e13)) -> ((e12) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) -> ((op1 (e12) (e11)) = (e12)) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 32.93/33.15 do 0 intro. intros zenon_H2e1 zenon_H2e2 zenon_H140 zenon_H1bf zenon_Hcd zenon_Hb9 zenon_H179 zenon_H12d zenon_H126 zenon_Hde zenon_H93 zenon_Hc3 zenon_Had zenon_H92 zenon_H2de zenon_Hef zenon_H2e3 zenon_Hc7 zenon_H90.
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H2e5 | zenon_intro zenon_H2e4 ].
% 32.93/33.15 exact (zenon_H2e2 zenon_H2e5).
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H2e4); [ zenon_intro zenon_H141 | zenon_intro zenon_H2e6 ].
% 32.93/33.15 apply (zenon_L57_); trivial.
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H2d7 ].
% 32.93/33.15 apply (zenon_L84_); trivial.
% 32.93/33.15 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcf ].
% 32.93/33.15 apply (zenon_L34_); trivial.
% 32.93/33.15 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hd0 ].
% 32.93/33.15 apply (zenon_L157_); trivial.
% 32.93/33.15 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hd1 | zenon_intro zenon_Hc8 ].
% 32.93/33.15 cut (((op1 (e10) (e12)) = (e11)) = ((op1 (e10) (e12)) = (op1 (e12) (e12)))).
% 32.93/33.15 intro zenon_D_pnotp.
% 32.93/33.15 apply zenon_H2e3.
% 32.93/33.15 rewrite <- zenon_D_pnotp.
% 32.93/33.15 exact zenon_Hef.
% 32.93/33.15 cut (((e11) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H2e7].
% 32.93/33.15 cut (((op1 (e10) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H136].
% 32.93/33.15 congruence.
% 32.93/33.15 apply zenon_H136. apply refl_equal.
% 32.93/33.15 apply zenon_H2e7. apply sym_equal. exact zenon_Hd1.
% 32.93/33.15 apply (zenon_L37_); trivial.
% 32.93/33.15 (* end of lemma zenon_L158_ *)
% 32.93/33.15 assert (zenon_L159_ : ((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))) -> (~((op1 (e10) (e10)) = (e11))) -> (~((op1 (e10) (op1 (e11) (e10))) = (op1 (e11) (e10)))) -> ((op1 (e11) (e10)) = (e11)) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e12) (e11)) = (e12)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> ((e12) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 32.93/33.15 do 0 intro. intros zenon_H172 zenon_Hea zenon_H1d0 zenon_Had zenon_H2e1 zenon_Hb9 zenon_H2de zenon_H179 zenon_Hde zenon_Hc3 zenon_H92 zenon_H2e3 zenon_Hc7 zenon_Hcd zenon_H1bf zenon_H93 zenon_H126 zenon_H140 zenon_H2e2 zenon_Hd7 zenon_He6 zenon_H90.
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H91 | zenon_intro zenon_H12d ].
% 32.93/33.15 apply zenon_H91. apply sym_equal. exact zenon_H90.
% 32.93/33.15 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hed | zenon_intro zenon_Hec ].
% 32.93/33.15 exact (zenon_Hea zenon_Hed).
% 32.93/33.15 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hee ].
% 32.93/33.15 apply (zenon_L154_); trivial.
% 32.93/33.15 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_Hef | zenon_intro zenon_Hd8 ].
% 32.93/33.15 apply (zenon_L158_); trivial.
% 32.93/33.15 apply (zenon_L41_); trivial.
% 32.93/33.15 (* end of lemma zenon_L159_ *)
% 32.93/33.15 assert (zenon_L160_ : ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> False).
% 32.93/33.15 do 0 intro. intros zenon_H93 zenon_H2e8 zenon_H90 zenon_H2e9.
% 32.93/33.15 elim (classic ((op1 (e11) (e13)) = (op1 (e11) (e13)))); [ zenon_intro zenon_H16b | zenon_intro zenon_H16c ].
% 32.93/33.15 cut (((op1 (e11) (e13)) = (op1 (e11) (e13))) = ((op1 (e11) (e11)) = (op1 (e11) (e13)))).
% 32.93/33.15 intro zenon_D_pnotp.
% 32.93/33.15 apply zenon_H2e9.
% 32.93/33.15 rewrite <- zenon_D_pnotp.
% 32.93/33.15 exact zenon_H16b.
% 32.93/33.15 cut (((op1 (e11) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H16c].
% 32.93/33.15 cut (((op1 (e11) (e13)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H2ea].
% 32.93/33.15 congruence.
% 32.93/33.15 cut (((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) = ((op1 (e11) (e13)) = (op1 (e11) (e11)))).
% 32.93/33.15 intro zenon_D_pnotp.
% 32.93/33.15 apply zenon_H2ea.
% 32.93/33.15 rewrite <- zenon_D_pnotp.
% 32.93/33.15 exact zenon_H93.
% 32.93/33.15 cut (((op1 (op1 (e13) (e13)) (op1 (e13) (e13))) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H8f].
% 32.93/33.15 cut (((e10) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2eb].
% 32.93/33.15 congruence.
% 32.93/33.15 elim (classic ((op1 (e11) (e13)) = (op1 (e11) (e13)))); [ zenon_intro zenon_H16b | zenon_intro zenon_H16c ].
% 32.93/33.15 cut (((op1 (e11) (e13)) = (op1 (e11) (e13))) = ((e10) = (op1 (e11) (e13)))).
% 32.93/33.15 intro zenon_D_pnotp.
% 32.93/33.15 apply zenon_H2eb.
% 32.93/33.15 rewrite <- zenon_D_pnotp.
% 32.93/33.15 exact zenon_H16b.
% 32.93/33.15 cut (((op1 (e11) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H16c].
% 32.93/33.15 cut (((op1 (e11) (e13)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H2ec].
% 32.93/33.15 congruence.
% 32.93/33.15 exact (zenon_H2ec zenon_H2e8).
% 32.93/33.15 apply zenon_H16c. apply refl_equal.
% 32.93/33.15 apply zenon_H16c. apply refl_equal.
% 32.93/33.15 apply (zenon_L26_); trivial.
% 32.93/33.15 apply zenon_H16c. apply refl_equal.
% 32.93/33.15 apply zenon_H16c. apply refl_equal.
% 32.93/33.15 (* end of lemma zenon_L160_ *)
% 32.93/33.15 assert (zenon_L161_ : (~((op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) = (op1 (e11) (e13)))) -> ((op1 (e13) (e10)) = (e12)) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e12)) -> False).
% 32.93/33.15 do 0 intro. intros zenon_H2ed zenon_H2d7 zenon_H93 zenon_H151.
% 32.93/33.15 cut (((op1 (e13) (e10)) = (e12)) = ((op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) = (op1 (e11) (e13)))).
% 32.93/33.15 intro zenon_D_pnotp.
% 32.93/33.15 apply zenon_H2ed.
% 32.93/33.15 rewrite <- zenon_D_pnotp.
% 32.93/33.15 exact zenon_H2d7.
% 32.93/33.15 cut (((e12) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H19a].
% 32.93/33.15 cut (((op1 (e13) (e10)) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))))); [idtac | apply NNPP; zenon_intro zenon_H2da].
% 32.93/33.15 congruence.
% 32.93/33.15 elim (classic ((op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))))); [ zenon_intro zenon_H2db | zenon_intro zenon_H2dc ].
% 32.93/33.15 cut (((op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) = ((op1 (e13) (e10)) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))))).
% 32.93/33.15 intro zenon_D_pnotp.
% 32.93/33.15 apply zenon_H2da.
% 32.93/33.15 rewrite <- zenon_D_pnotp.
% 32.93/33.15 exact zenon_H2db.
% 32.93/33.15 cut (((op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))))); [idtac | apply NNPP; zenon_intro zenon_H2dc].
% 32.93/33.15 cut (((op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H124].
% 32.93/33.15 congruence.
% 32.93/33.15 apply (zenon_L52_); trivial.
% 32.93/33.15 apply zenon_H2dc. apply refl_equal.
% 32.93/33.15 apply zenon_H2dc. apply refl_equal.
% 32.93/33.15 apply zenon_H19a. apply sym_equal. exact zenon_H151.
% 32.93/33.15 (* end of lemma zenon_L161_ *)
% 32.93/33.15 assert (zenon_L162_ : ((e12) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) -> ((op1 (e12) (e13)) = (e12)) -> ((op1 (e13) (e10)) = (e12)) -> ((op1 (e11) (e13)) = (e12)) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> False).
% 32.93/33.15 do 0 intro. intros zenon_H126 zenon_H2ee zenon_H2d7 zenon_H151 zenon_H93 zenon_H2ef.
% 32.93/33.15 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_Hca | zenon_intro zenon_Hcb ].
% 32.93/33.15 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((op1 (e11) (e13)) = (op1 (e12) (e13)))).
% 32.93/33.15 intro zenon_D_pnotp.
% 32.93/33.15 apply zenon_H2ef.
% 32.93/33.15 rewrite <- zenon_D_pnotp.
% 32.93/33.15 exact zenon_Hca.
% 32.93/33.15 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hcb].
% 32.93/33.15 cut (((op1 (e12) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2f0].
% 32.93/33.15 congruence.
% 32.93/33.15 cut (((e12) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) = ((op1 (e12) (e13)) = (op1 (e11) (e13)))).
% 32.93/33.15 intro zenon_D_pnotp.
% 32.93/33.15 apply zenon_H2f0.
% 32.93/33.15 rewrite <- zenon_D_pnotp.
% 32.93/33.15 exact zenon_H126.
% 32.93/33.15 cut (((op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2ed].
% 32.93/33.15 cut (((e12) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2f1].
% 32.93/33.15 congruence.
% 32.93/33.15 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_Hca | zenon_intro zenon_Hcb ].
% 32.93/33.15 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((e12) = (op1 (e12) (e13)))).
% 32.93/33.15 intro zenon_D_pnotp.
% 32.93/33.15 apply zenon_H2f1.
% 32.93/33.15 rewrite <- zenon_D_pnotp.
% 32.93/33.15 exact zenon_Hca.
% 32.93/33.15 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hcb].
% 32.93/33.15 cut (((op1 (e12) (e13)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2f2].
% 32.93/33.15 congruence.
% 32.93/33.15 exact (zenon_H2f2 zenon_H2ee).
% 32.93/33.15 apply zenon_Hcb. apply refl_equal.
% 32.93/33.15 apply zenon_Hcb. apply refl_equal.
% 32.93/33.15 apply (zenon_L161_); trivial.
% 32.93/33.15 apply zenon_Hcb. apply refl_equal.
% 32.93/33.15 apply zenon_Hcb. apply refl_equal.
% 32.93/33.15 (* end of lemma zenon_L162_ *)
% 32.93/33.15 assert (zenon_L163_ : (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> ((op1 (e11) (e13)) = (e13)) -> False).
% 32.93/33.15 do 0 intro. intros zenon_H198 zenon_H14d zenon_H152.
% 32.93/33.15 cut (((op1 (e10) (e13)) = (e13)) = ((op1 (e10) (e13)) = (op1 (e11) (e13)))).
% 32.93/33.15 intro zenon_D_pnotp.
% 32.93/33.15 apply zenon_H198.
% 32.93/33.15 rewrite <- zenon_D_pnotp.
% 32.93/33.15 exact zenon_H14d.
% 32.93/33.15 cut (((e13) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2f3].
% 32.93/33.15 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hdb].
% 32.93/33.15 congruence.
% 32.93/33.15 apply zenon_Hdb. apply refl_equal.
% 32.93/33.15 apply zenon_H2f3. apply sym_equal. exact zenon_H152.
% 32.93/33.15 (* end of lemma zenon_L163_ *)
% 32.93/33.15 assert (zenon_L164_ : (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> ((op1 (e13) (e10)) = (e12)) -> ((op1 (e12) (e13)) = (e12)) -> ((e12) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> False).
% 32.93/33.15 do 0 intro. intros zenon_H2f4 zenon_H2e9 zenon_H90 zenon_H168 zenon_H2ef zenon_H93 zenon_H2d7 zenon_H2ee zenon_H126 zenon_H198 zenon_H14d.
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H2f4); [ zenon_intro zenon_H2e8 | zenon_intro zenon_H2f5 ].
% 32.93/33.15 apply (zenon_L160_); trivial.
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H2f5); [ zenon_intro zenon_H169 | zenon_intro zenon_H2f6 ].
% 32.93/33.15 apply (zenon_L64_); trivial.
% 32.93/33.15 apply (zenon_or_s _ _ zenon_H2f6); [ zenon_intro zenon_H151 | zenon_intro zenon_H152 ].
% 32.93/33.15 apply (zenon_L162_); trivial.
% 32.93/33.15 apply (zenon_L163_); trivial.
% 32.93/33.15 (* end of lemma zenon_L164_ *)
% 32.93/33.15 assert (zenon_L165_ : (~((op1 (e10) (e10)) = (e11))) -> (~((op1 (e10) (op1 (e11) (e10))) = (op1 (e11) (e10)))) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((e11) = (e13))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> ((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> ((e12) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (e12))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 32.93/33.16 do 0 intro. intros zenon_Hea zenon_H1d0 zenon_Had zenon_H18b zenon_H179 zenon_Hf9 zenon_H2f7 zenon_H2e9 zenon_H168 zenon_H2ef zenon_H198 zenon_H2f4 zenon_H19c zenon_He6 zenon_Hd7 zenon_Hcd zenon_Hc7 zenon_H2e3 zenon_H92 zenon_Hc3 zenon_H2de zenon_Hb9 zenon_H2e1 zenon_H172 zenon_H19f zenon_H1bf zenon_H93 zenon_H126 zenon_H140 zenon_H2e2 zenon_H90.
% 32.93/33.16 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H91 | zenon_intro zenon_H12d ].
% 32.93/33.16 apply zenon_H91. apply sym_equal. exact zenon_H90.
% 32.93/33.16 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hed | zenon_intro zenon_Hec ].
% 32.93/33.16 exact (zenon_Hea zenon_Hed).
% 32.93/33.16 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hee ].
% 32.93/33.16 apply (zenon_L154_); trivial.
% 32.93/33.16 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_Hef | zenon_intro zenon_Hd8 ].
% 32.93/33.16 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H2e5 | zenon_intro zenon_H2e4 ].
% 32.93/33.16 exact (zenon_H2e2 zenon_H2e5).
% 32.93/33.16 apply (zenon_or_s _ _ zenon_H2e4); [ zenon_intro zenon_H141 | zenon_intro zenon_H2e6 ].
% 32.93/33.16 apply (zenon_L57_); trivial.
% 32.93/33.16 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H2d7 ].
% 32.93/33.16 apply (zenon_L84_); trivial.
% 32.93/33.16 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H18d | zenon_intro zenon_H1a4 ].
% 32.93/33.16 exact (zenon_H18b zenon_H18d).
% 32.93/33.16 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H178 | zenon_intro zenon_H1a5 ].
% 32.93/33.16 apply (zenon_L67_); trivial.
% 32.93/33.16 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H17c | zenon_intro zenon_H14d ].
% 32.93/33.16 apply (zenon_L68_); trivial.
% 32.93/33.16 apply (zenon_or_s _ _ zenon_H2f7); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H2f8 ].
% 32.93/33.16 apply (zenon_L84_); trivial.
% 32.93/33.16 apply (zenon_or_s _ _ zenon_H2f8); [ zenon_intro zenon_Hde | zenon_intro zenon_H2f9 ].
% 32.93/33.16 apply (zenon_L159_); trivial.
% 32.93/33.16 apply (zenon_or_s _ _ zenon_H2f9); [ zenon_intro zenon_Hdd | zenon_intro zenon_H2ee ].
% 32.93/33.16 exact (zenon_H19c zenon_Hdd).
% 32.93/33.16 apply (zenon_L164_); trivial.
% 32.93/33.16 apply (zenon_L41_); trivial.
% 32.93/33.16 (* end of lemma zenon_L165_ *)
% 32.93/33.16 assert (zenon_L166_ : (~((h4 (e11)) = (e21))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e21) = (op2 (e23) (e23))) -> False).
% 32.93/33.16 do 0 intro. intros zenon_H2fa zenon_H2fb zenon_H17.
% 32.93/33.16 cut (((h4 (e11)) = (op2 (e23) (e23))) = ((h4 (e11)) = (e21))).
% 32.93/33.16 intro zenon_D_pnotp.
% 32.93/33.16 apply zenon_H2fa.
% 32.93/33.16 rewrite <- zenon_D_pnotp.
% 32.93/33.16 exact zenon_H2fb.
% 32.93/33.16 cut (((op2 (e23) (e23)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H18].
% 32.93/33.16 cut (((h4 (e11)) = (h4 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H2fc].
% 32.93/33.16 congruence.
% 32.93/33.16 apply zenon_H2fc. apply refl_equal.
% 32.93/33.16 apply zenon_H18. apply sym_equal. exact zenon_H17.
% 32.93/33.16 (* end of lemma zenon_L166_ *)
% 32.93/33.16 assert (zenon_L167_ : (~((h4 (op1 (e10) (e11))) = (op2 (h4 (e10)) (h4 (e11))))) -> ((h4 (e12)) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((op1 (e10) (e11)) = (e12)) -> ((op2 (e20) (e21)) = (e22)) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((h4 (e10)) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e21) = (op2 (e23) (e23))) -> False).
% 32.93/33.16 do 0 intro. intros zenon_H2fd zenon_H2fe zenon_H2d8 zenon_H1f0 zenon_H1dd zenon_H108 zenon_H1a zenon_H2fb zenon_H17.
% 32.93/33.16 cut (((h4 (e12)) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) = ((h4 (op1 (e10) (e11))) = (op2 (h4 (e10)) (h4 (e11))))).
% 32.93/33.16 intro zenon_D_pnotp.
% 32.93/33.16 apply zenon_H2fd.
% 32.93/33.16 rewrite <- zenon_D_pnotp.
% 32.93/33.16 exact zenon_H2fe.
% 32.93/33.16 cut (((op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) = (op2 (h4 (e10)) (h4 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H2ff].
% 32.93/33.16 cut (((h4 (e12)) = (h4 (op1 (e10) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H300].
% 32.93/33.16 congruence.
% 32.93/33.16 elim (classic ((h4 (op1 (e10) (e11))) = (h4 (op1 (e10) (e11))))); [ zenon_intro zenon_H301 | zenon_intro zenon_H302 ].
% 32.93/33.16 cut (((h4 (op1 (e10) (e11))) = (h4 (op1 (e10) (e11)))) = ((h4 (e12)) = (h4 (op1 (e10) (e11))))).
% 32.93/33.16 intro zenon_D_pnotp.
% 32.93/33.16 apply zenon_H300.
% 32.93/33.16 rewrite <- zenon_D_pnotp.
% 32.93/33.16 exact zenon_H301.
% 32.93/33.16 cut (((h4 (op1 (e10) (e11))) = (h4 (op1 (e10) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H302].
% 32.93/33.16 cut (((h4 (op1 (e10) (e11))) = (h4 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H303].
% 32.93/33.16 congruence.
% 32.93/33.16 cut (((op1 (e10) (e11)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H304].
% 32.93/33.16 congruence.
% 32.93/33.16 exact (zenon_H304 zenon_H2d8).
% 32.93/33.16 apply zenon_H302. apply refl_equal.
% 32.93/33.16 apply zenon_H302. apply refl_equal.
% 32.93/33.16 elim (classic ((op2 (h4 (e10)) (h4 (e11))) = (op2 (h4 (e10)) (h4 (e11))))); [ zenon_intro zenon_H305 | zenon_intro zenon_H306 ].
% 32.93/33.16 cut (((op2 (h4 (e10)) (h4 (e11))) = (op2 (h4 (e10)) (h4 (e11)))) = ((op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) = (op2 (h4 (e10)) (h4 (e11))))).
% 32.93/33.16 intro zenon_D_pnotp.
% 32.93/33.16 apply zenon_H2ff.
% 32.93/33.16 rewrite <- zenon_D_pnotp.
% 32.93/33.16 exact zenon_H305.
% 32.93/33.16 cut (((op2 (h4 (e10)) (h4 (e11))) = (op2 (h4 (e10)) (h4 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H306].
% 32.93/33.16 cut (((op2 (h4 (e10)) (h4 (e11))) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))))); [idtac | apply NNPP; zenon_intro zenon_H307].
% 32.93/33.16 congruence.
% 32.93/33.16 cut (((op2 (e20) (e21)) = (e22)) = ((op2 (h4 (e10)) (h4 (e11))) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))))).
% 32.93/33.16 intro zenon_D_pnotp.
% 32.93/33.16 apply zenon_H307.
% 32.93/33.16 rewrite <- zenon_D_pnotp.
% 32.93/33.16 exact zenon_H1f0.
% 32.93/33.16 cut (((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))))); [idtac | apply NNPP; zenon_intro zenon_H308].
% 32.93/33.16 cut (((op2 (e20) (e21)) = (op2 (h4 (e10)) (h4 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H309].
% 32.93/33.16 congruence.
% 32.93/33.16 elim (classic ((op2 (h4 (e10)) (h4 (e11))) = (op2 (h4 (e10)) (h4 (e11))))); [ zenon_intro zenon_H305 | zenon_intro zenon_H306 ].
% 32.93/33.16 cut (((op2 (h4 (e10)) (h4 (e11))) = (op2 (h4 (e10)) (h4 (e11)))) = ((op2 (e20) (e21)) = (op2 (h4 (e10)) (h4 (e11))))).
% 32.93/33.16 intro zenon_D_pnotp.
% 32.93/33.16 apply zenon_H309.
% 32.93/33.16 rewrite <- zenon_D_pnotp.
% 32.93/33.16 exact zenon_H305.
% 32.93/33.16 cut (((op2 (h4 (e10)) (h4 (e11))) = (op2 (h4 (e10)) (h4 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H306].
% 32.93/33.16 cut (((op2 (h4 (e10)) (h4 (e11))) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H30a].
% 32.93/33.16 congruence.
% 32.93/33.16 cut (((h4 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H2fa].
% 32.93/33.16 cut (((h4 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H107].
% 32.93/33.16 congruence.
% 32.93/33.16 apply (zenon_L47_); trivial.
% 32.93/33.16 apply (zenon_L166_); trivial.
% 32.93/33.16 apply zenon_H306. apply refl_equal.
% 32.93/33.16 apply zenon_H306. apply refl_equal.
% 32.93/33.16 exact (zenon_H308 zenon_H1dd).
% 32.93/33.16 apply zenon_H306. apply refl_equal.
% 32.93/33.16 apply zenon_H306. apply refl_equal.
% 32.93/33.16 (* end of lemma zenon_L167_ *)
% 32.93/33.16 assert (zenon_L168_ : ((op1 (e12) (e12)) = (e12)) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> False).
% 32.93/33.16 do 0 intro. intros zenon_Hdd zenon_H30b zenon_H2e3.
% 32.93/33.16 elim (classic ((op1 (e12) (e12)) = (op1 (e12) (e12)))); [ zenon_intro zenon_He0 | zenon_intro zenon_He1 ].
% 32.93/33.16 cut (((op1 (e12) (e12)) = (op1 (e12) (e12))) = ((op1 (e10) (e12)) = (op1 (e12) (e12)))).
% 32.93/33.16 intro zenon_D_pnotp.
% 32.93/33.16 apply zenon_H2e3.
% 32.93/33.16 rewrite <- zenon_D_pnotp.
% 32.93/33.16 exact zenon_He0.
% 32.93/33.16 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_He1].
% 32.93/33.16 cut (((op1 (e12) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H30c].
% 32.93/33.16 congruence.
% 32.93/33.16 cut (((op1 (e12) (e12)) = (e12)) = ((op1 (e12) (e12)) = (op1 (e10) (e12)))).
% 32.93/33.16 intro zenon_D_pnotp.
% 32.93/33.16 apply zenon_H30c.
% 32.93/33.16 rewrite <- zenon_D_pnotp.
% 32.93/33.16 exact zenon_Hdd.
% 32.93/33.16 cut (((e12) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H30d].
% 32.93/33.16 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_He1].
% 32.93/33.16 congruence.
% 32.93/33.16 apply zenon_He1. apply refl_equal.
% 32.93/33.16 apply zenon_H30d. apply sym_equal. exact zenon_H30b.
% 32.93/33.16 apply zenon_He1. apply refl_equal.
% 32.93/33.16 apply zenon_He1. apply refl_equal.
% 32.93/33.16 (* end of lemma zenon_L168_ *)
% 32.93/33.16 assert (zenon_L169_ : (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> False).
% 32.93/33.16 do 0 intro. intros zenon_H2f4 zenon_H2e9 zenon_H93 zenon_H90 zenon_H168 zenon_H199 zenon_H198 zenon_H14d.
% 32.93/33.16 apply (zenon_or_s _ _ zenon_H2f4); [ zenon_intro zenon_H2e8 | zenon_intro zenon_H2f5 ].
% 32.93/33.16 apply (zenon_L160_); trivial.
% 32.93/33.16 apply (zenon_or_s _ _ zenon_H2f5); [ zenon_intro zenon_H169 | zenon_intro zenon_H2f6 ].
% 32.93/33.16 apply (zenon_L64_); trivial.
% 32.93/33.16 apply (zenon_or_s _ _ zenon_H2f6); [ zenon_intro zenon_H151 | zenon_intro zenon_H152 ].
% 32.93/33.16 apply (zenon_L75_); trivial.
% 32.93/33.16 apply (zenon_L163_); trivial.
% 32.93/33.16 (* end of lemma zenon_L169_ *)
% 32.93/33.16 assert (zenon_L170_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e11)) = (e13)) -> (~((e11) = (e13))) -> ((op1 (e10) (e12)) = (e11)) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> False).
% 32.93/33.16 do 0 intro. intros zenon_H19f zenon_H18b zenon_H179 zenon_H12d zenon_Hf9 zenon_Hef zenon_H2f4 zenon_H2e9 zenon_H93 zenon_H90 zenon_H168 zenon_H199 zenon_H198.
% 32.93/33.16 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H18d | zenon_intro zenon_H1a4 ].
% 32.93/33.16 exact (zenon_H18b zenon_H18d).
% 32.93/33.16 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H178 | zenon_intro zenon_H1a5 ].
% 32.93/33.16 apply (zenon_L67_); trivial.
% 32.93/33.16 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H17c | zenon_intro zenon_H14d ].
% 32.93/33.16 apply (zenon_L68_); trivial.
% 32.93/33.16 apply (zenon_L169_); trivial.
% 32.93/33.16 (* end of lemma zenon_L170_ *)
% 32.93/33.16 assert (zenon_L171_ : ((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))) -> (~((op2 (e20) (e20)) = (e22))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (e12))) -> (~((h4 (op1 (e10) (e11))) = (op2 (h4 (e10)) (h4 (e11))))) -> ((h4 (e12)) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((e21) = (op2 (e23) (e23))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((h4 (e10)) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e12)) = (e12)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (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))))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (e11))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e22)) = (e22)) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e21)) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 32.93/33.16 do 0 intro. intros zenon_H172 zenon_H1e2 zenon_He6 zenon_Hd7 zenon_H2e2 zenon_H2fd zenon_H2fe zenon_H17 zenon_H2fb zenon_H1a zenon_H108 zenon_H1dd zenon_H2e3 zenon_Hdd zenon_H19f zenon_H2e9 zenon_H93 zenon_H168 zenon_H198 zenon_H2f4 zenon_Hf9 zenon_H179 zenon_H18b zenon_H30e zenon_Hb9 zenon_Had zenon_Hc3 zenon_Hce zenon_Hc7 zenon_Hcd zenon_Hea zenon_H5a zenon_H68 zenon_H20b zenon_H209 zenon_H1ec zenon_H20c zenon_H1e3 zenon_H210 zenon_H90.
% 32.93/33.16 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H91 | zenon_intro zenon_H12d ].
% 32.93/33.16 apply zenon_H91. apply sym_equal. exact zenon_H90.
% 32.93/33.16 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_H1de | zenon_intro zenon_H212 ].
% 32.93/33.16 exact (zenon_H1e2 zenon_H1de).
% 32.93/33.16 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H1f0 | zenon_intro zenon_H213 ].
% 32.93/33.16 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hed | zenon_intro zenon_Hec ].
% 32.93/33.16 exact (zenon_Hea zenon_Hed).
% 32.93/33.16 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hee ].
% 32.93/33.16 apply (zenon_L38_); trivial.
% 32.93/33.16 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_Hef | zenon_intro zenon_Hd8 ].
% 32.93/33.16 apply (zenon_or_s _ _ zenon_H30e); [ zenon_intro zenon_H2e5 | zenon_intro zenon_H30f ].
% 32.93/33.16 exact (zenon_H2e2 zenon_H2e5).
% 32.93/33.16 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H2d8 | zenon_intro zenon_H310 ].
% 32.93/33.16 apply (zenon_L167_); trivial.
% 32.93/33.16 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H30b | zenon_intro zenon_H199 ].
% 32.93/33.16 apply (zenon_L168_); trivial.
% 32.93/33.16 apply (zenon_L170_); trivial.
% 32.93/33.16 apply (zenon_L41_); trivial.
% 32.93/33.16 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H206 | zenon_intro zenon_H20a ].
% 32.93/33.16 apply (zenon_L99_); trivial.
% 32.93/33.16 apply (zenon_L101_); trivial.
% 32.93/33.16 (* end of lemma zenon_L171_ *)
% 32.93/33.16 assert (zenon_L172_ : ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (op1 (e11) (e10))) = (op1 (e11) (e10)))) -> ((e11) = (op1 (e13) (e13))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e21)) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e22) (e22)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op1 (e10) (e10)) = (e11))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((e11) = (e13))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e12) (e12)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((h4 (e10)) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e21) = (op2 (e23) (e23))) -> ((h4 (e12)) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> (~((h4 (op1 (e10) (e11))) = (op2 (h4 (e10)) (h4 (e11))))) -> (~((op1 (e10) (e10)) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op2 (e20) (e20)) = (e22))) -> ((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))) -> False).
% 32.93/33.16 do 0 intro. intros zenon_He9 zenon_H140 zenon_H126 zenon_H1bf zenon_H92 zenon_H2de zenon_H2e1 zenon_H1d0 zenon_H90 zenon_H210 zenon_H1e3 zenon_H20c zenon_H1ec zenon_H209 zenon_H20b zenon_H68 zenon_H5a zenon_Hea zenon_Hcd zenon_Hc7 zenon_Hc3 zenon_Had zenon_Hb9 zenon_H30e zenon_H18b zenon_H179 zenon_Hf9 zenon_H2f4 zenon_H198 zenon_H168 zenon_H93 zenon_H2e9 zenon_H19f zenon_Hdd zenon_H2e3 zenon_H1dd zenon_H108 zenon_H1a zenon_H2fb zenon_H17 zenon_H2fe zenon_H2fd zenon_H2e2 zenon_Hd7 zenon_He6 zenon_H1e2 zenon_H172.
% 32.93/33.16 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hce | zenon_intro zenon_Hde ].
% 32.93/33.16 apply (zenon_L171_); trivial.
% 32.93/33.16 apply (zenon_L159_); trivial.
% 32.93/33.16 (* end of lemma zenon_L172_ *)
% 32.93/33.16 assert (zenon_L173_ : (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((op1 (e10) (e10)) = (e10)) -> ((op1 (e10) (e12)) = (e10)) -> False).
% 32.93/33.16 do 0 intro. intros zenon_H311 zenon_H104 zenon_H131.
% 32.93/33.16 cut (((op1 (e10) (e10)) = (e10)) = ((op1 (e10) (e10)) = (op1 (e10) (e12)))).
% 32.93/33.16 intro zenon_D_pnotp.
% 32.93/33.16 apply zenon_H311.
% 32.93/33.16 rewrite <- zenon_D_pnotp.
% 32.93/33.16 exact zenon_H104.
% 32.93/33.16 cut (((e10) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H134].
% 32.93/33.16 cut (((op1 (e10) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H197].
% 32.93/33.16 congruence.
% 32.93/33.16 apply zenon_H197. apply refl_equal.
% 32.93/33.16 apply zenon_H134. apply sym_equal. exact zenon_H131.
% 32.93/33.16 (* end of lemma zenon_L173_ *)
% 32.93/33.16 assert (zenon_L174_ : ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> ((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (op1 (e11) (e12))) = (op1 (e11) (e12)))) -> (~((e12) = (e13))) -> ((op1 (e10) (e13)) = (e10)) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e12) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((e12) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> False).
% 32.93/33.16 do 0 intro. intros zenon_Hb1 zenon_H175 zenon_H168 zenon_H15f zenon_Hf9 zenon_H161 zenon_H156 zenon_H153 zenon_H14c zenon_H14e zenon_H160 zenon_Hdd zenon_H145 zenon_H126 zenon_H140 zenon_H174 zenon_H16e zenon_H171 zenon_H92 zenon_H93 zenon_H90 zenon_H9a zenon_Ha1 zenon_Ha7.
% 32.93/33.16 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Had ].
% 32.93/33.16 apply (zenon_L30_); trivial.
% 32.93/33.16 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H13a | zenon_intro zenon_H16f ].
% 32.93/33.16 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H13b | zenon_intro zenon_H169 ].
% 32.93/33.16 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hfb | zenon_intro zenon_Hfa ].
% 32.93/33.16 apply (zenon_L63_); trivial.
% 32.93/33.16 apply (zenon_L45_); trivial.
% 32.93/33.16 apply (zenon_L64_); trivial.
% 32.93/33.16 apply (zenon_L65_); trivial.
% 32.93/33.16 (* end of lemma zenon_L174_ *)
% 32.93/33.16 assert (zenon_L175_ : ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> False).
% 32.93/33.16 do 0 intro. intros zenon_Hb1 zenon_H171 zenon_H16e zenon_H172 zenon_H130 zenon_H12c zenon_H126 zenon_H128 zenon_H11d zenon_H131 zenon_H132 zenon_H139 zenon_H168 zenon_H175 zenon_Hac zenon_He5 zenon_H92 zenon_H93 zenon_H90 zenon_H9a zenon_Ha1 zenon_Ha7.
% 32.93/33.16 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Had ].
% 32.93/33.16 apply (zenon_L30_); trivial.
% 32.93/33.16 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Heb | zenon_intro zenon_Hae ].
% 32.93/33.16 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H13a | zenon_intro zenon_H16f ].
% 32.93/33.16 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H13b | zenon_intro zenon_H169 ].
% 32.93/33.16 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H91 | zenon_intro zenon_H12d ].
% 32.93/33.16 apply zenon_H91. apply sym_equal. exact zenon_H90.
% 32.93/33.16 apply (zenon_L56_); trivial.
% 32.93/33.16 apply (zenon_L64_); trivial.
% 32.93/33.16 apply (zenon_L65_); trivial.
% 32.93/33.16 apply (zenon_L31_); trivial.
% 32.93/33.16 (* end of lemma zenon_L175_ *)
% 32.93/33.16 assert (zenon_L176_ : ((~((op1 (e10) (op1 (e11) (e10))) = (op1 (e11) (e10))))/\((~((op1 (e11) (op1 (e11) (e11))) = (op1 (e11) (e11))))/\((~((op1 (e12) (op1 (e11) (e12))) = (op1 (e11) (e12))))/\(~((op1 (e13) (op1 (e11) (e13))) = (op1 (e11) (e13))))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10))) -> ((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((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)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> ((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))) -> (~((op2 (e20) (e20)) = (e22))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((h4 (op1 (e10) (e11))) = (op2 (h4 (e10)) (h4 (e11))))) -> ((h4 (e12)) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((e21) = (op2 (e23) (e23))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((h4 (e10)) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (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 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e22)) = (e22)) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e21)) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 32.93/33.16 do 0 intro. intros zenon_H1ce zenon_Hfd zenon_H311 zenon_H2f7 zenon_H2ef zenon_H312 zenon_H195 zenon_H313 zenon_He5 zenon_Hac zenon_H139 zenon_H132 zenon_H11d zenon_H128 zenon_H12c zenon_H130 zenon_Hb1 zenon_H172 zenon_H1e2 zenon_He6 zenon_Hd7 zenon_H2fd zenon_H2fe zenon_H17 zenon_H2fb zenon_H1a zenon_H108 zenon_H1dd zenon_H2e3 zenon_H19f zenon_H2e9 zenon_H168 zenon_H198 zenon_H2f4 zenon_H179 zenon_H30e zenon_Hb9 zenon_Hc3 zenon_Hc7 zenon_Hcd zenon_H5a zenon_H68 zenon_H20b zenon_H209 zenon_H1ec zenon_H20c zenon_H1e3 zenon_H210 zenon_H2e1 zenon_H2de zenon_H1bf zenon_H126 zenon_H140 zenon_He9 zenon_H92 zenon_H93 zenon_H9a zenon_Ha1 zenon_Ha7 zenon_H175 zenon_H15f zenon_H161 zenon_H153 zenon_H14e zenon_H160 zenon_H145 zenon_H174 zenon_H16e zenon_H171 zenon_H19e zenon_He4 zenon_Hf9 zenon_H90.
% 32.93/33.16 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_H1d0. zenon_intro zenon_H1cf.
% 32.93/33.16 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1d2. zenon_intro zenon_H1d1.
% 32.93/33.16 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H156. zenon_intro zenon_H1d3.
% 32.93/33.16 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H104 | zenon_intro zenon_H103 ].
% 32.93/33.16 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_Hea | zenon_intro zenon_H94 ].
% 32.93/33.16 apply (zenon_or_s _ _ zenon_H313); [ zenon_intro zenon_H2e2 | zenon_intro zenon_H131 ].
% 32.93/33.16 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H18b | zenon_intro zenon_H14c ].
% 32.93/33.16 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Had ].
% 32.93/33.16 apply (zenon_L30_); trivial.
% 32.93/33.16 apply (zenon_or_s _ _ zenon_H312); [ zenon_intro zenon_H19c | zenon_intro zenon_Hdd ].
% 32.93/33.16 apply (zenon_L165_); trivial.
% 32.93/33.16 apply (zenon_L172_); trivial.
% 32.93/33.16 apply (zenon_L74_); trivial.
% 32.93/33.16 apply (zenon_L173_); trivial.
% 32.93/33.16 apply (zenon_L27_); trivial.
% 32.93/33.16 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Hae | zenon_intro zenon_H106 ].
% 32.93/33.16 apply (zenon_L32_); trivial.
% 32.93/33.16 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hdd | zenon_intro zenon_Hfa ].
% 32.93/33.16 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_Hea | zenon_intro zenon_H94 ].
% 32.93/33.16 apply (zenon_or_s _ _ zenon_H313); [ zenon_intro zenon_H2e2 | zenon_intro zenon_H131 ].
% 32.93/33.16 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H18b | zenon_intro zenon_H14c ].
% 32.93/33.16 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Had ].
% 32.93/33.16 apply (zenon_L30_); trivial.
% 32.93/33.16 apply (zenon_L172_); trivial.
% 32.93/33.16 apply (zenon_L174_); trivial.
% 32.93/33.16 apply (zenon_L175_); trivial.
% 32.93/33.16 apply (zenon_L27_); trivial.
% 32.93/33.16 apply (zenon_L45_); trivial.
% 32.93/33.16 (* end of lemma zenon_L176_ *)
% 32.93/33.16 assert (zenon_L177_ : (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> ((e12) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (op1 (e13) (e10))) = (op1 (e13) (e10)))) -> ((op1 (e10) (e12)) = (e12)) -> False).
% 32.93/33.16 do 0 intro. intros zenon_H2e1 zenon_H2e2 zenon_H140 zenon_H93 zenon_H126 zenon_H1bf zenon_H1d6 zenon_H30b.
% 32.93/33.16 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H2e5 | zenon_intro zenon_H2e4 ].
% 32.93/33.16 exact (zenon_H2e2 zenon_H2e5).
% 32.93/33.16 apply (zenon_or_s _ _ zenon_H2e4); [ zenon_intro zenon_H141 | zenon_intro zenon_H2e6 ].
% 32.93/33.16 apply (zenon_L57_); trivial.
% 32.93/33.16 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H2d7 ].
% 32.93/33.16 apply (zenon_L84_); trivial.
% 32.93/33.16 cut (((op1 (e10) (e12)) = (e12)) = ((op1 (e10) (op1 (e13) (e10))) = (op1 (e13) (e10)))).
% 32.93/33.16 intro zenon_D_pnotp.
% 32.93/33.16 apply zenon_H1d6.
% 32.93/33.16 rewrite <- zenon_D_pnotp.
% 32.93/33.16 exact zenon_H30b.
% 32.93/33.16 cut (((e12) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H314].
% 32.93/33.16 cut (((op1 (e10) (e12)) = (op1 (e10) (op1 (e13) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H315].
% 32.93/33.16 congruence.
% 32.93/33.16 elim (classic ((op1 (e10) (op1 (e13) (e10))) = (op1 (e10) (op1 (e13) (e10))))); [ zenon_intro zenon_H316 | zenon_intro zenon_H317 ].
% 32.93/33.16 cut (((op1 (e10) (op1 (e13) (e10))) = (op1 (e10) (op1 (e13) (e10)))) = ((op1 (e10) (e12)) = (op1 (e10) (op1 (e13) (e10))))).
% 32.93/33.16 intro zenon_D_pnotp.
% 32.93/33.16 apply zenon_H315.
% 32.93/33.16 rewrite <- zenon_D_pnotp.
% 32.93/33.16 exact zenon_H316.
% 32.93/33.16 cut (((op1 (e10) (op1 (e13) (e10))) = (op1 (e10) (op1 (e13) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H317].
% 32.93/33.16 cut (((op1 (e10) (op1 (e13) (e10))) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H318].
% 32.93/33.16 congruence.
% 32.93/33.16 cut (((op1 (e13) (e10)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H319].
% 32.93/33.16 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H8e].
% 32.93/33.16 congruence.
% 32.93/33.16 apply zenon_H8e. apply refl_equal.
% 32.93/33.16 exact (zenon_H319 zenon_H2d7).
% 32.93/33.16 apply zenon_H317. apply refl_equal.
% 32.93/33.16 apply zenon_H317. apply refl_equal.
% 32.93/33.16 apply zenon_H314. apply sym_equal. exact zenon_H2d7.
% 32.93/33.16 (* end of lemma zenon_L177_ *)
% 32.93/33.16 assert (zenon_L178_ : (~((op1 (e11) (op1 (e13) (e11))) = (op1 (e11) (e13)))) -> ((op1 (e13) (e11)) = (e13)) -> False).
% 32.93/33.16 do 0 intro. intros zenon_H31a zenon_H12d.
% 32.93/33.16 cut (((op1 (e13) (e11)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H31b].
% 32.93/33.16 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_Hf8].
% 32.93/33.16 congruence.
% 32.93/33.16 apply zenon_Hf8. apply refl_equal.
% 32.93/33.16 exact (zenon_H31b zenon_H12d).
% 32.93/33.16 (* end of lemma zenon_L178_ *)
% 32.93/33.16 assert (zenon_L179_ : (~((op1 (e11) (op1 (e13) (e11))) = (op1 (e13) (e11)))) -> ((op1 (e11) (e13)) = (e13)) -> ((op1 (e13) (e11)) = (e13)) -> False).
% 32.93/33.16 do 0 intro. intros zenon_H1d8 zenon_H152 zenon_H12d.
% 32.93/33.16 cut (((op1 (e11) (e13)) = (e13)) = ((op1 (e11) (op1 (e13) (e11))) = (op1 (e13) (e11)))).
% 32.93/33.16 intro zenon_D_pnotp.
% 32.93/33.16 apply zenon_H1d8.
% 32.93/33.16 rewrite <- zenon_D_pnotp.
% 32.93/33.16 exact zenon_H152.
% 32.93/33.16 cut (((e13) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H188].
% 32.93/33.16 cut (((op1 (e11) (e13)) = (op1 (e11) (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H31c].
% 32.93/33.16 congruence.
% 32.93/33.16 elim (classic ((op1 (e11) (op1 (e13) (e11))) = (op1 (e11) (op1 (e13) (e11))))); [ zenon_intro zenon_H31d | zenon_intro zenon_H31e ].
% 32.93/33.16 cut (((op1 (e11) (op1 (e13) (e11))) = (op1 (e11) (op1 (e13) (e11)))) = ((op1 (e11) (e13)) = (op1 (e11) (op1 (e13) (e11))))).
% 32.93/33.16 intro zenon_D_pnotp.
% 32.93/33.16 apply zenon_H31c.
% 32.93/33.16 rewrite <- zenon_D_pnotp.
% 32.93/33.16 exact zenon_H31d.
% 32.93/33.16 cut (((op1 (e11) (op1 (e13) (e11))) = (op1 (e11) (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H31e].
% 32.93/33.16 cut (((op1 (e11) (op1 (e13) (e11))) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H31a].
% 32.93/33.16 congruence.
% 32.93/33.16 apply (zenon_L178_); trivial.
% 32.93/33.16 apply zenon_H31e. apply refl_equal.
% 32.93/33.16 apply zenon_H31e. apply refl_equal.
% 32.93/33.16 apply zenon_H188. apply sym_equal. exact zenon_H12d.
% 32.93/33.16 (* end of lemma zenon_L179_ *)
% 32.93/33.16 assert (zenon_L180_ : (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (op1 (e13) (e11))) = (op1 (e13) (e11)))) -> ((op1 (e13) (e11)) = (e13)) -> False).
% 32.93/33.16 do 0 intro. intros zenon_H2f4 zenon_H2e9 zenon_H93 zenon_H90 zenon_H168 zenon_H199 zenon_H198 zenon_H1d8 zenon_H12d.
% 32.93/33.16 apply (zenon_or_s _ _ zenon_H2f4); [ zenon_intro zenon_H2e8 | zenon_intro zenon_H2f5 ].
% 32.93/33.16 apply (zenon_L160_); trivial.
% 32.93/33.16 apply (zenon_or_s _ _ zenon_H2f5); [ zenon_intro zenon_H169 | zenon_intro zenon_H2f6 ].
% 32.93/33.16 apply (zenon_L64_); trivial.
% 32.93/33.16 apply (zenon_or_s _ _ zenon_H2f6); [ zenon_intro zenon_H151 | zenon_intro zenon_H152 ].
% 32.93/33.16 apply (zenon_L75_); trivial.
% 32.93/33.16 apply (zenon_L179_); trivial.
% 32.93/33.16 (* end of lemma zenon_L180_ *)
% 32.93/33.16 assert (zenon_L181_ : ((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))) -> (~((op1 (e10) (e10)) = (e12))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> ((op1 (e12) (e11)) = (e12)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> ((e12) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (op1 (e13) (e10))) = (op1 (e13) (e10)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (op1 (e13) (e11))) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 32.93/33.16 do 0 intro. intros zenon_H172 zenon_H2e2 zenon_H2e1 zenon_Hde zenon_Hc3 zenon_H1bf zenon_H93 zenon_H126 zenon_H140 zenon_H1d6 zenon_H2f4 zenon_H1d8 zenon_H198 zenon_H168 zenon_H2e9 zenon_H30e zenon_H90.
% 32.93/33.16 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H91 | zenon_intro zenon_H12d ].
% 32.93/33.16 apply zenon_H91. apply sym_equal. exact zenon_H90.
% 32.93/33.16 apply (zenon_or_s _ _ zenon_H30e); [ zenon_intro zenon_H2e5 | zenon_intro zenon_H30f ].
% 32.93/33.16 exact (zenon_H2e2 zenon_H2e5).
% 32.93/33.16 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H2d8 | zenon_intro zenon_H310 ].
% 32.93/33.16 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H2e5 | zenon_intro zenon_H2e4 ].
% 32.93/33.16 exact (zenon_H2e2 zenon_H2e5).
% 32.93/33.16 apply (zenon_or_s _ _ zenon_H2e4); [ zenon_intro zenon_H141 | zenon_intro zenon_H2e6 ].
% 32.93/33.16 apply (zenon_L57_); trivial.
% 32.93/33.16 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H2d7 ].
% 32.93/33.16 apply (zenon_L84_); trivial.
% 32.93/33.16 apply (zenon_L156_); trivial.
% 32.93/33.16 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H30b | zenon_intro zenon_H199 ].
% 32.93/33.16 apply (zenon_L177_); trivial.
% 32.93/33.16 apply (zenon_L180_); trivial.
% 32.93/33.16 (* end of lemma zenon_L181_ *)
% 32.93/33.16 assert (zenon_L182_ : (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e11)) = (e13)) -> (~((e11) = (e13))) -> ((op1 (e10) (e12)) = (e11)) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> ((op1 (e12) (e13)) = (e12)) -> ((e12) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> False).
% 32.93/33.16 do 0 intro. intros zenon_H2e1 zenon_H2e2 zenon_H140 zenon_H1bf zenon_H19f zenon_H18b zenon_H179 zenon_H12d zenon_Hf9 zenon_Hef zenon_H2f4 zenon_H2e9 zenon_H90 zenon_H168 zenon_H2ef zenon_H93 zenon_H2ee zenon_H126 zenon_H198.
% 32.93/33.16 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H2e5 | zenon_intro zenon_H2e4 ].
% 32.93/33.16 exact (zenon_H2e2 zenon_H2e5).
% 32.93/33.16 apply (zenon_or_s _ _ zenon_H2e4); [ zenon_intro zenon_H141 | zenon_intro zenon_H2e6 ].
% 32.93/33.16 apply (zenon_L57_); trivial.
% 32.93/33.16 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H2d7 ].
% 32.93/33.16 apply (zenon_L84_); trivial.
% 32.93/33.16 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H18d | zenon_intro zenon_H1a4 ].
% 32.93/33.16 exact (zenon_H18b zenon_H18d).
% 32.93/33.16 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H178 | zenon_intro zenon_H1a5 ].
% 32.93/33.16 apply (zenon_L67_); trivial.
% 32.93/33.16 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H17c | zenon_intro zenon_H14d ].
% 32.93/33.16 apply (zenon_L68_); trivial.
% 32.93/33.16 apply (zenon_L164_); trivial.
% 32.93/33.16 (* end of lemma zenon_L182_ *)
% 32.93/33.16 assert (zenon_L183_ : ((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))) -> (~((op1 (e10) (e10)) = (e11))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((e11) = (e13))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e12) (e13)) = (e12)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> ((e12) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 32.93/33.16 do 0 intro. intros zenon_H172 zenon_Hea zenon_Hcd zenon_Hc7 zenon_Hce zenon_Hc3 zenon_Had zenon_Hb9 zenon_H2e1 zenon_H18b zenon_H179 zenon_Hf9 zenon_H2f4 zenon_H198 zenon_H2ee zenon_H2ef zenon_H168 zenon_H2e9 zenon_H19f zenon_H1bf zenon_H93 zenon_H126 zenon_H140 zenon_H2e2 zenon_Hd7 zenon_He6 zenon_H90.
% 32.93/33.16 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H91 | zenon_intro zenon_H12d ].
% 32.93/33.16 apply zenon_H91. apply sym_equal. exact zenon_H90.
% 32.93/33.16 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hed | zenon_intro zenon_Hec ].
% 32.93/33.16 exact (zenon_Hea zenon_Hed).
% 32.93/33.16 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hee ].
% 32.93/33.16 apply (zenon_L38_); trivial.
% 32.93/33.16 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_Hef | zenon_intro zenon_Hd8 ].
% 32.93/33.16 apply (zenon_L182_); trivial.
% 32.93/33.16 apply (zenon_L41_); trivial.
% 32.93/33.16 (* end of lemma zenon_L183_ *)
% 32.93/33.16 assert (zenon_L184_ : (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e11) (op1 (e13) (e11))) = (op1 (e13) (e11)))) -> (~((op1 (e10) (op1 (e13) (e10))) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (e12))) -> ((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))) -> (~((op1 (e10) (e10)) = (e11))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((e11) = (e13))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> ((e12) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 32.93/33.16 do 0 intro. intros zenon_H2f7 zenon_H30e zenon_H1d8 zenon_H1d6 zenon_H19c zenon_H172 zenon_Hea zenon_Hcd zenon_Hc7 zenon_Hce zenon_Hc3 zenon_Had zenon_Hb9 zenon_H2e1 zenon_H18b zenon_H179 zenon_Hf9 zenon_H2f4 zenon_H198 zenon_H2ef zenon_H168 zenon_H2e9 zenon_H19f zenon_H1bf zenon_H93 zenon_H126 zenon_H140 zenon_H2e2 zenon_Hd7 zenon_He6 zenon_H90.
% 32.93/33.16 apply (zenon_or_s _ _ zenon_H2f7); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H2f8 ].
% 32.93/33.16 apply (zenon_L84_); trivial.
% 32.93/33.16 apply (zenon_or_s _ _ zenon_H2f8); [ zenon_intro zenon_Hde | zenon_intro zenon_H2f9 ].
% 32.93/33.16 apply (zenon_L181_); trivial.
% 32.93/33.16 apply (zenon_or_s _ _ zenon_H2f9); [ zenon_intro zenon_Hdd | zenon_intro zenon_H2ee ].
% 32.93/33.16 exact (zenon_H19c zenon_Hdd).
% 32.93/33.16 apply (zenon_L183_); trivial.
% 32.93/33.16 (* end of lemma zenon_L184_ *)
% 32.93/33.16 assert (zenon_L185_ : ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> (~((op1 (e11) (op1 (e13) (e11))) = (op1 (e13) (e11)))) -> (~((op1 (e10) (op1 (e13) (e10))) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> ((e11) = (op1 (e13) (e13))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e21)) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e22) (e22)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op1 (e10) (e10)) = (e11))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((e11) = (e13))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e12) (e12)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((h4 (e10)) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e21) = (op2 (e23) (e23))) -> ((h4 (e12)) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> (~((h4 (op1 (e10) (e11))) = (op2 (h4 (e10)) (h4 (e11))))) -> (~((op1 (e10) (e10)) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op2 (e20) (e20)) = (e22))) -> ((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))) -> False).
% 32.93/33.16 do 0 intro. intros zenon_He9 zenon_H1d8 zenon_H1d6 zenon_H140 zenon_H126 zenon_H1bf zenon_H2e1 zenon_H90 zenon_H210 zenon_H1e3 zenon_H20c zenon_H1ec zenon_H209 zenon_H20b zenon_H68 zenon_H5a zenon_Hea zenon_Hcd zenon_Hc7 zenon_Hc3 zenon_Had zenon_Hb9 zenon_H30e zenon_H18b zenon_H179 zenon_Hf9 zenon_H2f4 zenon_H198 zenon_H168 zenon_H93 zenon_H2e9 zenon_H19f zenon_Hdd zenon_H2e3 zenon_H1dd zenon_H108 zenon_H1a zenon_H2fb zenon_H17 zenon_H2fe zenon_H2fd zenon_H2e2 zenon_Hd7 zenon_He6 zenon_H1e2 zenon_H172.
% 32.93/33.16 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hce | zenon_intro zenon_Hde ].
% 32.93/33.16 apply (zenon_L171_); trivial.
% 32.93/33.16 apply (zenon_L181_); trivial.
% 32.93/33.16 (* end of lemma zenon_L185_ *)
% 32.93/33.16 assert (zenon_L186_ : (~((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e13)))) -> ((op1 (e13) (e13)) = (e13)) -> False).
% 32.93/33.16 do 0 intro. intros zenon_H1d9 zenon_Hfa.
% 32.93/33.16 cut (((op1 (e13) (e13)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_Hfb].
% 32.93/33.16 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H123].
% 32.93/33.16 congruence.
% 32.93/33.16 apply zenon_H123. apply refl_equal.
% 32.93/33.16 exact (zenon_Hfb zenon_Hfa).
% 32.93/33.16 (* end of lemma zenon_L186_ *)
% 32.93/33.16 assert (zenon_L187_ : (((~((op1 (e10) (op1 (e10) (e10))) = (op1 (e10) (e10))))/\((~((op1 (e11) (op1 (e10) (e11))) = (op1 (e10) (e11))))/\((~((op1 (e12) (op1 (e10) (e12))) = (op1 (e10) (e12))))/\(~((op1 (e13) (op1 (e10) (e13))) = (op1 (e10) (e13)))))))\/(((~((op1 (e10) (op1 (e11) (e10))) = (op1 (e11) (e10))))/\((~((op1 (e11) (op1 (e11) (e11))) = (op1 (e11) (e11))))/\((~((op1 (e12) (op1 (e11) (e12))) = (op1 (e11) (e12))))/\(~((op1 (e13) (op1 (e11) (e13))) = (op1 (e11) (e13)))))))\/(((~((op1 (e10) (op1 (e12) (e10))) = (op1 (e12) (e10))))/\((~((op1 (e11) (op1 (e12) (e11))) = (op1 (e12) (e11))))/\((~((op1 (e12) (op1 (e12) (e12))) = (op1 (e12) (e12))))/\(~((op1 (e13) (op1 (e12) (e13))) = (op1 (e12) (e13)))))))\/((~((op1 (e10) (op1 (e13) (e10))) = (op1 (e13) (e10))))/\((~((op1 (e11) (op1 (e13) (e11))) = (op1 (e13) (e11))))/\((~((op1 (e12) (op1 (e13) (e12))) = (op1 (e13) (e12))))/\(~((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e13)))))))))) -> (~((op1 (e13) (e11)) = (op1 (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 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (e13) (e13))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) -> (~((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 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e21)) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e22) (e22)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((e11) = (e13))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((h4 (e10)) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e21) = (op2 (e23) (e23))) -> ((h4 (e12)) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> (~((h4 (op1 (e10) (e11))) = (op2 (h4 (e10)) (h4 (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op2 (e20) (e20)) = (e22))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> ((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11))) -> ((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11))) -> ((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> False).
% 32.93/33.16 do 0 intro. intros zenon_H1ca zenon_Hd3 zenon_He8 zenon_Hdf zenon_H174 zenon_H145 zenon_H160 zenon_H14e zenon_H153 zenon_H161 zenon_H2de zenon_H1a0 zenon_H15f zenon_H18a zenon_H186 zenon_Hfd zenon_H311 zenon_H312 zenon_H2ef zenon_H2f7 zenon_H1c3 zenon_H1bf zenon_H90 zenon_H1c4 zenon_H92 zenon_H1b6 zenon_H1a9 zenon_H132 zenon_H11d zenon_H128 zenon_H126 zenon_H12c zenon_H130 zenon_H9a zenon_Ha1 zenon_Ha7 zenon_H93 zenon_Hac zenon_H172 zenon_He4 zenon_H19e zenon_H195 zenon_He9 zenon_H140 zenon_H2e1 zenon_H210 zenon_H1e3 zenon_H20c zenon_H1ec zenon_H209 zenon_H20b zenon_H68 zenon_H5a zenon_Hcd zenon_Hc7 zenon_Hc3 zenon_Hb9 zenon_H30e zenon_H179 zenon_Hf9 zenon_H2f4 zenon_H198 zenon_H168 zenon_H2e9 zenon_H19f zenon_H2e3 zenon_H1dd zenon_H108 zenon_H1a zenon_H2fb zenon_H17 zenon_H2fe zenon_H2fd zenon_Hd7 zenon_He6 zenon_H1e2 zenon_Hb1 zenon_H171 zenon_H16e zenon_H139 zenon_H175 zenon_He5 zenon_H313 zenon_H1cb.
% 32.93/33.16 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfc | zenon_intro zenon_H1cc ].
% 32.93/33.16 apply (zenon_L46_); trivial.
% 32.93/33.16 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1cd ].
% 32.93/33.16 apply (zenon_L176_); trivial.
% 32.93/33.16 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H19d | zenon_intro zenon_H1d4 ].
% 32.93/33.16 apply (zenon_L77_); trivial.
% 32.93/33.16 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_H1d6. zenon_intro zenon_H1d5.
% 32.93/33.16 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1d8. zenon_intro zenon_H1d7.
% 32.93/33.16 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1af. zenon_intro zenon_H1d9.
% 32.93/33.16 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H104 | zenon_intro zenon_H103 ].
% 32.93/33.16 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_Hea | zenon_intro zenon_H94 ].
% 32.93/33.16 apply (zenon_or_s _ _ zenon_H313); [ zenon_intro zenon_H2e2 | zenon_intro zenon_H131 ].
% 32.93/33.16 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H18b | zenon_intro zenon_H14c ].
% 32.93/33.16 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Had ].
% 32.93/33.16 apply (zenon_L30_); trivial.
% 32.93/33.16 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hce | zenon_intro zenon_Hde ].
% 32.93/33.16 apply (zenon_or_s _ _ zenon_H312); [ zenon_intro zenon_H19c | zenon_intro zenon_Hdd ].
% 32.93/33.16 apply (zenon_L184_); trivial.
% 32.93/33.16 apply (zenon_L185_); trivial.
% 32.93/33.16 apply (zenon_L181_); trivial.
% 32.93/33.16 apply (zenon_L74_); trivial.
% 32.93/33.16 apply (zenon_L173_); trivial.
% 32.93/33.16 apply (zenon_L27_); trivial.
% 32.93/33.16 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Hae | zenon_intro zenon_H106 ].
% 32.93/33.16 apply (zenon_L32_); trivial.
% 32.93/33.16 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hdd | zenon_intro zenon_Hfa ].
% 32.93/33.16 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H105 | zenon_intro zenon_H104 ].
% 32.93/33.16 apply (zenon_L85_); trivial.
% 32.93/33.16 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_Hea | zenon_intro zenon_H94 ].
% 32.93/33.16 apply (zenon_or_s _ _ zenon_H313); [ zenon_intro zenon_H2e2 | zenon_intro zenon_H131 ].
% 32.93/33.16 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H18b | zenon_intro zenon_H14c ].
% 32.93/33.16 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Had ].
% 32.93/33.16 apply (zenon_L30_); trivial.
% 32.93/33.16 apply (zenon_L185_); trivial.
% 32.93/33.16 apply (zenon_L74_); trivial.
% 32.93/33.16 apply (zenon_L175_); trivial.
% 32.93/33.16 apply (zenon_L27_); trivial.
% 32.93/33.16 apply (zenon_L186_); trivial.
% 32.93/33.16 (* end of lemma zenon_L187_ *)
% 32.93/33.16 assert (zenon_L188_ : ((~((op2 (e20) (e20)) = (e21)))\/((op2 (e20) (e21)) = (e20))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> ((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> (~((h4 (op1 (e10) (e11))) = (op2 (h4 (e10)) (h4 (e11))))) -> ((h4 (e12)) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((h4 (e10)) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (((~((op1 (e10) (op1 (e10) (e10))) = (op1 (e10) (e10))))/\((~((op1 (e11) (op1 (e10) (e11))) = (op1 (e10) (e11))))/\((~((op1 (e12) (op1 (e10) (e12))) = (op1 (e10) (e12))))/\(~((op1 (e13) (op1 (e10) (e13))) = (op1 (e10) (e13)))))))\/(((~((op1 (e10) (op1 (e11) (e10))) = (op1 (e11) (e10))))/\((~((op1 (e11) (op1 (e11) (e11))) = (op1 (e11) (e11))))/\((~((op1 (e12) (op1 (e11) (e12))) = (op1 (e11) (e12))))/\(~((op1 (e13) (op1 (e11) (e13))) = (op1 (e11) (e13)))))))\/(((~((op1 (e10) (op1 (e12) (e10))) = (op1 (e12) (e10))))/\((~((op1 (e11) (op1 (e12) (e11))) = (op1 (e12) (e11))))/\((~((op1 (e12) (op1 (e12) (e12))) = (op1 (e12) (e12))))/\(~((op1 (e13) (op1 (e12) (e13))) = (op1 (e12) (e13)))))))\/((~((op1 (e10) (op1 (e13) (e10))) = (op1 (e13) (e10))))/\((~((op1 (e11) (op1 (e13) (e11))) = (op1 (e13) (e11))))/\((~((op1 (e12) (op1 (e13) (e12))) = (op1 (e13) (e12))))/\(~((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e13)))))))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (op2 (e21) (e20))) = (op2 (e21) (e20)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22))) -> ((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((~((op2 (e21) (e21)) = (e21)))\/((op2 (e21) (e21)) = (e21))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> ((~((op2 (e20) (e20)) = (e22)))\/((op2 (e20) (e22)) = (e20))) -> False).
% 33.00/33.17 do 0 intro. intros zenon_H6f zenon_H38 zenon_H248 zenon_H240 zenon_H31f zenon_Hb1 zenon_Hac zenon_H92 zenon_H93 zenon_H90 zenon_H9a zenon_Ha1 zenon_Ha7 zenon_He4 zenon_He5 zenon_He6 zenon_Hd7 zenon_Hd3 zenon_He8 zenon_Hb9 zenon_Hc3 zenon_Hc7 zenon_Hcd zenon_Hdf zenon_He9 zenon_Hf9 zenon_Hfd zenon_H19e zenon_H195 zenon_H312 zenon_H2fd zenon_H2fe zenon_H2fb zenon_H108 zenon_H30e zenon_H20b zenon_H1ec zenon_H210 zenon_H140 zenon_H126 zenon_H1bf zenon_H19f zenon_H172 zenon_H2e1 zenon_H2de zenon_H2e3 zenon_H2f4 zenon_H198 zenon_H2ef zenon_H168 zenon_H2e9 zenon_H2f7 zenon_H179 zenon_H311 zenon_H313 zenon_H171 zenon_H16e zenon_H174 zenon_H145 zenon_H160 zenon_H14e zenon_H153 zenon_H161 zenon_H15f zenon_H175 zenon_H130 zenon_H12c zenon_H128 zenon_H11d zenon_H132 zenon_H139 zenon_H1a0 zenon_H18a zenon_H186 zenon_H1cb zenon_H1a9 zenon_H1b6 zenon_H1c4 zenon_H1c3 zenon_H1ca zenon_H71 zenon_H62 zenon_H54 zenon_H4e zenon_H5a zenon_H4a zenon_H40 zenon_H2b8 zenon_H5e zenon_H73 zenon_H2aa zenon_H211 zenon_H27a zenon_H2be zenon_H23a zenon_H2c9 zenon_H2c5 zenon_H209 zenon_H2cd zenon_H251 zenon_H14 zenon_H24b zenon_H2d0 zenon_H234 zenon_H25f zenon_H1e7 zenon_H1dd zenon_H1e3 zenon_H2d1 zenon_H247 zenon_H33 zenon_H70 zenon_H19 zenon_H1a zenon_H17 zenon_H21 zenon_H28 zenon_H2e zenon_H277 zenon_H279.
% 33.00/33.17 apply (zenon_or_s _ _ zenon_H6f); [ zenon_intro zenon_H75 | zenon_intro zenon_H1b ].
% 33.00/33.17 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H1fe ].
% 33.00/33.17 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H2f | zenon_intro zenon_H34 ].
% 33.00/33.17 apply (zenon_L7_); trivial.
% 33.00/33.17 apply (zenon_or_s _ _ zenon_H70); [ zenon_intro zenon_H76 | zenon_intro zenon_H35 ].
% 33.00/33.17 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H20c | zenon_intro zenon_H241 ].
% 33.00/33.17 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H1fa | zenon_intro zenon_H1e8 ].
% 33.00/33.17 apply (zenon_or_s _ _ zenon_H31f); [ zenon_intro zenon_H27e | zenon_intro zenon_H68 ].
% 33.00/33.17 apply (zenon_L153_); trivial.
% 33.00/33.17 apply (zenon_L187_); trivial.
% 33.00/33.17 apply (zenon_L91_); trivial.
% 33.00/33.17 apply (zenon_L111_); trivial.
% 33.00/33.17 apply (zenon_L8_); trivial.
% 33.00/33.17 apply (zenon_L124_); trivial.
% 33.00/33.17 apply (zenon_L4_); trivial.
% 33.00/33.17 (* end of lemma zenon_L188_ *)
% 33.00/33.17 assert (zenon_L189_ : ((~((op2 (e20) (e20)) = (e22)))\/((op2 (e20) (e22)) = (e20))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((e21) = (op2 (e23) (e23))) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> ((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> (~((h4 (op1 (e10) (e11))) = (op2 (h4 (e10)) (h4 (e11))))) -> ((h4 (e12)) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((h4 (e10)) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e22)) = (e22)) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (((~((op1 (e10) (op1 (e10) (e10))) = (op1 (e10) (e10))))/\((~((op1 (e11) (op1 (e10) (e11))) = (op1 (e10) (e11))))/\((~((op1 (e12) (op1 (e10) (e12))) = (op1 (e10) (e12))))/\(~((op1 (e13) (op1 (e10) (e13))) = (op1 (e10) (e13)))))))\/(((~((op1 (e10) (op1 (e11) (e10))) = (op1 (e11) (e10))))/\((~((op1 (e11) (op1 (e11) (e11))) = (op1 (e11) (e11))))/\((~((op1 (e12) (op1 (e11) (e12))) = (op1 (e11) (e12))))/\(~((op1 (e13) (op1 (e11) (e13))) = (op1 (e11) (e13)))))))\/(((~((op1 (e10) (op1 (e12) (e10))) = (op1 (e12) (e10))))/\((~((op1 (e11) (op1 (e12) (e11))) = (op1 (e12) (e11))))/\((~((op1 (e12) (op1 (e12) (e12))) = (op1 (e12) (e12))))/\(~((op1 (e13) (op1 (e12) (e13))) = (op1 (e12) (e13)))))))\/((~((op1 (e10) (op1 (e13) (e10))) = (op1 (e13) (e10))))/\((~((op1 (e11) (op1 (e13) (e11))) = (op1 (e13) (e11))))/\((~((op1 (e12) (op1 (e13) (e12))) = (op1 (e13) (e12))))/\(~((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e13)))))))))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> False).
% 33.00/33.17 do 0 intro. intros zenon_H279 zenon_H14 zenon_H277 zenon_H2e zenon_H28 zenon_H21 zenon_H17 zenon_H1a zenon_H19 zenon_H248 zenon_H240 zenon_Hb1 zenon_Hac zenon_H92 zenon_H93 zenon_H90 zenon_H9a zenon_Ha1 zenon_Ha7 zenon_He4 zenon_He5 zenon_He6 zenon_Hd7 zenon_Hd3 zenon_He8 zenon_Hb9 zenon_Hc3 zenon_Hc7 zenon_Hcd zenon_Hdf zenon_He9 zenon_Hf9 zenon_Hfd zenon_H19e zenon_H195 zenon_H312 zenon_H2fd zenon_H2fe zenon_H2fb zenon_H108 zenon_H1dd zenon_H30e zenon_H5a zenon_H68 zenon_H20b zenon_H209 zenon_H1ec zenon_H1e3 zenon_H210 zenon_H140 zenon_H126 zenon_H1bf zenon_H19f zenon_H172 zenon_H2e1 zenon_H2de zenon_H2e3 zenon_H2f4 zenon_H198 zenon_H2ef zenon_H168 zenon_H2e9 zenon_H2f7 zenon_H179 zenon_H311 zenon_H313 zenon_H171 zenon_H16e zenon_H174 zenon_H145 zenon_H160 zenon_H14e zenon_H153 zenon_H161 zenon_H15f zenon_H175 zenon_H130 zenon_H12c zenon_H128 zenon_H11d zenon_H132 zenon_H139 zenon_H1a0 zenon_H18a zenon_H186 zenon_H1cb zenon_H1a9 zenon_H1b6 zenon_H1c4 zenon_H1c3 zenon_H1ca zenon_H38.
% 33.00/33.17 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H1fe ].
% 33.00/33.17 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H2f | zenon_intro zenon_H34 ].
% 33.00/33.17 apply (zenon_L7_); trivial.
% 33.00/33.17 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H20c | zenon_intro zenon_H241 ].
% 33.00/33.17 apply (zenon_L187_); trivial.
% 33.00/33.17 apply (zenon_L111_); trivial.
% 33.00/33.17 apply (zenon_L124_); trivial.
% 33.00/33.17 (* end of lemma zenon_L189_ *)
% 33.00/33.17 assert (zenon_L190_ : ((~((op2 (e20) (op2 (e21) (e20))) = (op2 (e21) (e20))))/\((~((op2 (e21) (op2 (e21) (e21))) = (op2 (e21) (e21))))/\((~((op2 (e22) (op2 (e21) (e22))) = (op2 (e21) (e22))))/\(~((op2 (e23) (op2 (e21) (e23))) = (op2 (e21) (e23))))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> ((~((op2 (e21) (e21)) = (e21)))\/((op2 (e21) (e21)) = (e21))) -> ((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> ((~((op2 (e20) (e20)) = (e21)))\/((op2 (e20) (e21)) = (e20))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> ((~((op2 (e21) (e21)) = (e23)))\/((op2 (e21) (e23)) = (e21))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((~((op2 (e23) (e23)) = (e20)))\/((op2 (e23) (e20)) = (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((~((op2 (e23) (e23)) = (e21)))\/((op2 (e23) (e21)) = (e23))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((e20) = (e23))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> ((~((op2 (e23) (e23)) = (e23)))\/((op2 (e23) (e23)) = (e23))) -> ((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> ((~((op2 (e20) (e20)) = (e22)))\/((op2 (e20) (e22)) = (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> ((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> (~((h4 (op1 (e10) (e11))) = (op2 (h4 (e10)) (h4 (e11))))) -> ((h4 (e12)) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((h4 (e10)) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (((~((op1 (e10) (op1 (e10) (e10))) = (op1 (e10) (e10))))/\((~((op1 (e11) (op1 (e10) (e11))) = (op1 (e10) (e11))))/\((~((op1 (e12) (op1 (e10) (e12))) = (op1 (e10) (e12))))/\(~((op1 (e13) (op1 (e10) (e13))) = (op1 (e10) (e13)))))))\/(((~((op1 (e10) (op1 (e11) (e10))) = (op1 (e11) (e10))))/\((~((op1 (e11) (op1 (e11) (e11))) = (op1 (e11) (e11))))/\((~((op1 (e12) (op1 (e11) (e12))) = (op1 (e11) (e12))))/\(~((op1 (e13) (op1 (e11) (e13))) = (op1 (e11) (e13)))))))\/(((~((op1 (e10) (op1 (e12) (e10))) = (op1 (e12) (e10))))/\((~((op1 (e11) (op1 (e12) (e11))) = (op1 (e12) (e11))))/\((~((op1 (e12) (op1 (e12) (e12))) = (op1 (e12) (e12))))/\(~((op1 (e13) (op1 (e12) (e13))) = (op1 (e12) (e13)))))))\/((~((op1 (e10) (op1 (e13) (e10))) = (op1 (e13) (e10))))/\((~((op1 (e11) (op1 (e13) (e11))) = (op1 (e13) (e11))))/\((~((op1 (e12) (op1 (e13) (e12))) = (op1 (e13) (e12))))/\(~((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e13)))))))))) -> ((~((op2 (e20) (e20)) = (e20)))\/((op2 (e20) (e20)) = (e20))) -> (~((e21) = (e23))) -> ((e21) = (op2 (e23) (e23))) -> False).
% 33.00/33.17 do 0 intro. intros zenon_H2a8 zenon_H87 zenon_H70 zenon_H2d1 zenon_H25f zenon_H2d0 zenon_H24b zenon_H251 zenon_H2cd zenon_H2c5 zenon_H2c9 zenon_H2be zenon_H27a zenon_H73 zenon_H5e zenon_H2b8 zenon_H40 zenon_H4a zenon_H4e zenon_H54 zenon_H62 zenon_H71 zenon_H31f zenon_H6f zenon_H33 zenon_H38 zenon_H243 zenon_H23a zenon_H244 zenon_H234 zenon_H239 zenon_H245 zenon_H22c zenon_H21c zenon_H220 zenon_H22e zenon_H1dc zenon_H1dd zenon_H211 zenon_H1ec zenon_H201 zenon_H1fd zenon_H20b zenon_H1e7 zenon_H1e3 zenon_H5a zenon_H209 zenon_H210 zenon_H246 zenon_H247 zenon_H240 zenon_H248 zenon_H19 zenon_H1a zenon_H21 zenon_H28 zenon_H2e zenon_H279 zenon_H277 zenon_Hb1 zenon_Hac zenon_H92 zenon_H93 zenon_H90 zenon_H9a zenon_Ha1 zenon_Ha7 zenon_He4 zenon_He5 zenon_He6 zenon_Hd7 zenon_Hd3 zenon_He8 zenon_Hb9 zenon_Hc3 zenon_Hc7 zenon_Hcd zenon_Hdf zenon_He9 zenon_Hf9 zenon_Hfd zenon_H19e zenon_H195 zenon_H312 zenon_H2fd zenon_H2fe zenon_H2fb zenon_H108 zenon_H30e zenon_H140 zenon_H126 zenon_H1bf zenon_H19f zenon_H172 zenon_H2e1 zenon_H2de zenon_H2e3 zenon_H2f4 zenon_H198 zenon_H2ef zenon_H168 zenon_H2e9 zenon_H2f7 zenon_H179 zenon_H311 zenon_H313 zenon_H171 zenon_H16e zenon_H174 zenon_H145 zenon_H160 zenon_H14e zenon_H153 zenon_H161 zenon_H15f zenon_H175 zenon_H130 zenon_H12c zenon_H128 zenon_H11d zenon_H132 zenon_H139 zenon_H1a0 zenon_H18a zenon_H186 zenon_H1cb zenon_H1a9 zenon_H1b6 zenon_H1c4 zenon_H1c3 zenon_H1ca zenon_H2a5 zenon_H83 zenon_H17.
% 33.00/33.17 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H2aa. zenon_intro zenon_H2a9.
% 33.00/33.17 apply (zenon_and_s _ _ zenon_H2a9). zenon_intro zenon_H2ac. zenon_intro zenon_H2ab.
% 33.00/33.17 apply (zenon_and_s _ _ zenon_H2ab). zenon_intro zenon_H223. zenon_intro zenon_H2ad.
% 33.00/33.17 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H14 | zenon_intro zenon_H8c ].
% 33.00/33.17 apply (zenon_L188_); trivial.
% 33.00/33.17 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H35 | zenon_intro zenon_H8d ].
% 33.00/33.17 apply (zenon_L9_); trivial.
% 33.00/33.17 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H68 | zenon_intro zenon_H84 ].
% 33.00/33.17 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_H15 | zenon_intro zenon_H14 ].
% 33.00/33.17 apply (zenon_L112_); trivial.
% 33.00/33.17 apply (zenon_L189_); trivial.
% 33.00/33.17 apply (zenon_L23_); trivial.
% 33.00/33.17 (* end of lemma zenon_L190_ *)
% 33.00/33.17 assert (zenon_L191_ : (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e20) (e20)) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (op2 (e23) (e20))) = (op2 (e23) (e20)))) -> ((op2 (e20) (e22)) = (e22)) -> False).
% 33.00/33.17 do 0 intro. intros zenon_H211 zenon_H1e2 zenon_H1e3 zenon_H1a zenon_H1dd zenon_H1e7 zenon_H285 zenon_H206.
% 33.00/33.17 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H1de | zenon_intro zenon_H214 ].
% 33.00/33.17 exact (zenon_H1e2 zenon_H1de).
% 33.00/33.17 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H215 ].
% 33.00/33.17 apply (zenon_L90_); trivial.
% 33.00/33.17 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H1f7 ].
% 33.00/33.17 apply (zenon_L91_); trivial.
% 33.00/33.17 cut (((op2 (e20) (e22)) = (e22)) = ((op2 (e20) (op2 (e23) (e20))) = (op2 (e23) (e20)))).
% 33.00/33.17 intro zenon_D_pnotp.
% 33.00/33.17 apply zenon_H285.
% 33.00/33.17 rewrite <- zenon_D_pnotp.
% 33.00/33.17 exact zenon_H206.
% 33.00/33.17 cut (((e22) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1f8].
% 33.00/33.17 cut (((op2 (e20) (e22)) = (op2 (e20) (op2 (e23) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H287].
% 33.00/33.17 congruence.
% 33.00/33.17 elim (classic ((op2 (e20) (op2 (e23) (e20))) = (op2 (e20) (op2 (e23) (e20))))); [ zenon_intro zenon_H288 | zenon_intro zenon_H289 ].
% 33.00/33.17 cut (((op2 (e20) (op2 (e23) (e20))) = (op2 (e20) (op2 (e23) (e20)))) = ((op2 (e20) (e22)) = (op2 (e20) (op2 (e23) (e20))))).
% 33.00/33.17 intro zenon_D_pnotp.
% 33.00/33.17 apply zenon_H287.
% 33.00/33.17 rewrite <- zenon_D_pnotp.
% 33.00/33.17 exact zenon_H288.
% 33.00/33.17 cut (((op2 (e20) (op2 (e23) (e20))) = (op2 (e20) (op2 (e23) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H289].
% 33.00/33.17 cut (((op2 (e20) (op2 (e23) (e20))) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H283].
% 33.00/33.17 congruence.
% 33.00/33.17 apply (zenon_L128_); trivial.
% 33.00/33.17 apply zenon_H289. apply refl_equal.
% 33.00/33.17 apply zenon_H289. apply refl_equal.
% 33.00/33.17 apply zenon_H1f8. apply sym_equal. exact zenon_H1f7.
% 33.00/33.17 (* end of lemma zenon_L191_ *)
% 33.00/33.17 assert (zenon_L192_ : (~((op2 (e21) (op2 (e23) (e21))) = (op2 (e23) (e21)))) -> ((op2 (e21) (e23)) = (e23)) -> ((op2 (e23) (e21)) = (e23)) -> False).
% 33.00/33.17 do 0 intro. intros zenon_H2b1 zenon_H21f zenon_H236.
% 33.00/33.17 cut (((op2 (e21) (e23)) = (e23)) = ((op2 (e21) (op2 (e23) (e21))) = (op2 (e23) (e21)))).
% 33.00/33.17 intro zenon_D_pnotp.
% 33.00/33.17 apply zenon_H2b1.
% 33.00/33.17 rewrite <- zenon_D_pnotp.
% 33.00/33.17 exact zenon_H21f.
% 33.00/33.17 cut (((e23) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H237].
% 33.00/33.17 cut (((op2 (e21) (e23)) = (op2 (e21) (op2 (e23) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H320].
% 33.00/33.17 congruence.
% 33.00/33.17 elim (classic ((op2 (e21) (op2 (e23) (e21))) = (op2 (e21) (op2 (e23) (e21))))); [ zenon_intro zenon_H321 | zenon_intro zenon_H322 ].
% 33.00/33.17 cut (((op2 (e21) (op2 (e23) (e21))) = (op2 (e21) (op2 (e23) (e21)))) = ((op2 (e21) (e23)) = (op2 (e21) (op2 (e23) (e21))))).
% 33.00/33.17 intro zenon_D_pnotp.
% 33.00/33.17 apply zenon_H320.
% 33.00/33.17 rewrite <- zenon_D_pnotp.
% 33.00/33.17 exact zenon_H321.
% 33.00/33.17 cut (((op2 (e21) (op2 (e23) (e21))) = (op2 (e21) (op2 (e23) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H322].
% 33.00/33.17 cut (((op2 (e21) (op2 (e23) (e21))) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H323].
% 33.00/33.17 congruence.
% 33.00/33.17 cut (((op2 (e23) (e21)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H324].
% 33.00/33.17 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H82].
% 33.00/33.17 congruence.
% 33.00/33.17 apply zenon_H82. apply refl_equal.
% 33.00/33.17 exact (zenon_H324 zenon_H236).
% 33.00/33.17 apply zenon_H322. apply refl_equal.
% 33.00/33.17 apply zenon_H322. apply refl_equal.
% 33.00/33.17 apply zenon_H237. apply sym_equal. exact zenon_H236.
% 33.00/33.17 (* end of lemma zenon_L192_ *)
% 33.00/33.17 assert (zenon_L193_ : (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (op2 (e23) (e21))) = (op2 (e23) (e21)))) -> ((op2 (e23) (e21)) = (e23)) -> False).
% 33.00/33.17 do 0 intro. intros zenon_H2cd zenon_H2be zenon_H1a zenon_H17 zenon_H23a zenon_H20a zenon_H209 zenon_H2b1 zenon_H236.
% 33.00/33.17 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H2bd | zenon_intro zenon_H2ce ].
% 33.00/33.17 apply (zenon_L145_); trivial.
% 33.00/33.17 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H23b | zenon_intro zenon_H2cf ].
% 33.00/33.17 apply (zenon_L110_); trivial.
% 33.00/33.17 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H21f ].
% 33.00/33.17 apply (zenon_L100_); trivial.
% 33.00/33.17 apply (zenon_L192_); trivial.
% 33.00/33.17 (* end of lemma zenon_L193_ *)
% 33.00/33.17 assert (zenon_L194_ : ((~((op2 (e23) (e23)) = (e21)))\/((op2 (e23) (e21)) = (e23))) -> (~((op2 (e20) (e20)) = (e22))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> ((op2 (e22) (e21)) = (e22)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (op2 (e23) (e20))) = (op2 (e23) (e20)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (op2 (e23) (e21))) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> ((e21) = (op2 (e23) (e23))) -> False).
% 33.00/33.17 do 0 intro. intros zenon_H239 zenon_H1e2 zenon_H211 zenon_H69 zenon_H4a zenon_H1e7 zenon_H1a zenon_H1dd zenon_H1e3 zenon_H285 zenon_H2cd zenon_H2b1 zenon_H209 zenon_H23a zenon_H2be zenon_H210 zenon_H17.
% 33.00/33.17 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H18 | zenon_intro zenon_H236 ].
% 33.00/33.17 apply zenon_H18. apply sym_equal. exact zenon_H17.
% 33.00/33.17 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_H1de | zenon_intro zenon_H212 ].
% 33.00/33.17 exact (zenon_H1e2 zenon_H1de).
% 33.00/33.17 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H1f0 | zenon_intro zenon_H213 ].
% 33.00/33.17 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H1de | zenon_intro zenon_H214 ].
% 33.00/33.17 exact (zenon_H1e2 zenon_H1de).
% 33.00/33.17 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H215 ].
% 33.00/33.17 apply (zenon_L90_); trivial.
% 33.00/33.17 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H1f7 ].
% 33.00/33.17 apply (zenon_L91_); trivial.
% 33.00/33.17 apply (zenon_L146_); trivial.
% 33.00/33.17 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H206 | zenon_intro zenon_H20a ].
% 33.00/33.17 apply (zenon_L191_); trivial.
% 33.00/33.17 apply (zenon_L193_); trivial.
% 33.00/33.17 (* end of lemma zenon_L194_ *)
% 33.00/33.17 assert (zenon_L195_ : ((~((op2 (e23) (e23)) = (e21)))\/((op2 (e23) (e21)) = (e23))) -> (~((op2 (e20) (e20)) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (op2 (e23) (e21))) = (op2 (e23) (e21)))) -> ((op2 (e22) (e23)) = (e22)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> ((e21) = (op2 (e23) (e23))) -> False).
% 33.00/33.17 do 0 intro. intros zenon_H239 zenon_H1e2 zenon_H1e3 zenon_H1dd zenon_H1a zenon_H1e7 zenon_H2cd zenon_H2b1 zenon_H2c4 zenon_H2c5 zenon_H23a zenon_H2be zenon_H211 zenon_H17.
% 33.00/33.17 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H18 | zenon_intro zenon_H236 ].
% 33.00/33.17 apply zenon_H18. apply sym_equal. exact zenon_H17.
% 33.00/33.17 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H1de | zenon_intro zenon_H214 ].
% 33.00/33.17 exact (zenon_H1e2 zenon_H1de).
% 33.00/33.17 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H215 ].
% 33.00/33.17 apply (zenon_L90_); trivial.
% 33.00/33.17 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H1f7 ].
% 33.00/33.17 apply (zenon_L91_); trivial.
% 33.00/33.17 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H2bd | zenon_intro zenon_H2ce ].
% 33.00/33.17 apply (zenon_L145_); trivial.
% 33.00/33.17 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H23b | zenon_intro zenon_H2cf ].
% 33.00/33.17 apply (zenon_L110_); trivial.
% 33.00/33.17 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H21f ].
% 33.00/33.17 apply (zenon_L148_); trivial.
% 33.00/33.17 apply (zenon_L192_); trivial.
% 33.00/33.17 (* end of lemma zenon_L195_ *)
% 33.00/33.17 assert (zenon_L196_ : (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (op2 (e23) (e20))) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e22)) = (e22))) -> ((~((op2 (e23) (e23)) = (e21)))\/((op2 (e23) (e21)) = (e23))) -> (~((op2 (e20) (e20)) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (op2 (e23) (e21))) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> ((e21) = (op2 (e23) (e23))) -> False).
% 33.00/33.17 do 0 intro. intros zenon_H2c9 zenon_H210 zenon_H209 zenon_H285 zenon_H4a zenon_H27e zenon_H239 zenon_H1e2 zenon_H1e3 zenon_H1dd zenon_H1a zenon_H1e7 zenon_H2cd zenon_H2b1 zenon_H2c5 zenon_H23a zenon_H2be zenon_H211 zenon_H17.
% 33.00/33.17 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H2ca ].
% 33.00/33.17 apply (zenon_L91_); trivial.
% 33.00/33.17 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H69 | zenon_intro zenon_H2cb ].
% 33.00/33.17 apply (zenon_L194_); trivial.
% 33.00/33.17 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H68 | zenon_intro zenon_H2c4 ].
% 33.00/33.17 exact (zenon_H27e zenon_H68).
% 33.00/33.17 apply (zenon_L195_); trivial.
% 33.00/33.17 (* end of lemma zenon_L196_ *)
% 33.00/33.17 assert (zenon_L197_ : (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> ((e12) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e12)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> False).
% 33.00/33.17 do 0 intro. intros zenon_H15f zenon_H93 zenon_H126 zenon_H140 zenon_H13a zenon_H145 zenon_Hdd zenon_H198 zenon_H199.
% 33.00/33.17 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H141 | zenon_intro zenon_H162 ].
% 33.00/33.17 apply (zenon_L57_); trivial.
% 33.00/33.17 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H13f | zenon_intro zenon_H163 ].
% 33.00/33.17 exact (zenon_H13a zenon_H13f).
% 33.00/33.17 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H144 | zenon_intro zenon_H151 ].
% 33.00/33.17 apply (zenon_L58_); trivial.
% 33.00/33.17 apply (zenon_L75_); trivial.
% 33.00/33.17 (* end of lemma zenon_L197_ *)
% 33.00/33.17 assert (zenon_L198_ : ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op2 (e20) (e20)) = (e22))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e12)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (op1 (e13) (e10))) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((h4 (e10)) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e21) = (op2 (e23) (e23))) -> ((h4 (e12)) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> (~((h4 (op1 (e10) (e11))) = (op2 (h4 (e10)) (h4 (e11))))) -> (~((op1 (e10) (e10)) = (e12))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e20) (op2 (e23) (e20))) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((op2 (e23) (e21)) = (e23)) -> (~((op2 (e21) (op2 (e23) (e21))) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> False).
% 33.00/33.17 do 0 intro. intros zenon_H171 zenon_Had zenon_H16e zenon_H1e2 zenon_H30e zenon_H145 zenon_Hdd zenon_H198 zenon_H15f zenon_H140 zenon_H126 zenon_H93 zenon_H1bf zenon_H1d6 zenon_H2e1 zenon_H1dd zenon_H108 zenon_H1a zenon_H2fb zenon_H17 zenon_H2fe zenon_H2fd zenon_H2e2 zenon_H211 zenon_H285 zenon_H1e7 zenon_H1e3 zenon_H2cd zenon_H236 zenon_H2b1 zenon_H209 zenon_H23a zenon_H2be zenon_H210.
% 33.00/33.17 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H13a | zenon_intro zenon_H16f ].
% 33.00/33.17 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_H1de | zenon_intro zenon_H212 ].
% 33.00/33.17 exact (zenon_H1e2 zenon_H1de).
% 33.00/33.17 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H1f0 | zenon_intro zenon_H213 ].
% 33.00/33.17 apply (zenon_or_s _ _ zenon_H30e); [ zenon_intro zenon_H2e5 | zenon_intro zenon_H30f ].
% 33.00/33.17 exact (zenon_H2e2 zenon_H2e5).
% 33.00/33.17 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H2d8 | zenon_intro zenon_H310 ].
% 33.00/33.17 apply (zenon_L167_); trivial.
% 33.00/33.17 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H30b | zenon_intro zenon_H199 ].
% 33.00/33.17 apply (zenon_L177_); trivial.
% 33.00/33.17 apply (zenon_L197_); trivial.
% 33.00/33.17 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H206 | zenon_intro zenon_H20a ].
% 33.00/33.17 apply (zenon_L191_); trivial.
% 33.00/33.17 apply (zenon_L193_); trivial.
% 33.00/33.17 apply (zenon_L65_); trivial.
% 33.00/33.17 (* end of lemma zenon_L198_ *)
% 33.00/33.17 assert (zenon_L199_ : ((~((op2 (e23) (e23)) = (e21)))\/((op2 (e23) (e21)) = (e23))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> ((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> (~((op2 (e20) (e20)) = (e22))) -> (~((h4 (op1 (e10) (e11))) = (op2 (h4 (e10)) (h4 (e11))))) -> ((h4 (e12)) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((h4 (e10)) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e22)) = (e22)) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e21)) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e20) (op2 (e23) (e20))) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (op2 (e23) (e21))) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (((~((op1 (e10) (op1 (e10) (e10))) = (op1 (e10) (e10))))/\((~((op1 (e11) (op1 (e10) (e11))) = (op1 (e10) (e11))))/\((~((op1 (e12) (op1 (e10) (e12))) = (op1 (e10) (e12))))/\(~((op1 (e13) (op1 (e10) (e13))) = (op1 (e10) (e13)))))))\/(((~((op1 (e10) (op1 (e11) (e10))) = (op1 (e11) (e10))))/\((~((op1 (e11) (op1 (e11) (e11))) = (op1 (e11) (e11))))/\((~((op1 (e12) (op1 (e11) (e12))) = (op1 (e11) (e12))))/\(~((op1 (e13) (op1 (e11) (e13))) = (op1 (e11) (e13)))))))\/(((~((op1 (e10) (op1 (e12) (e10))) = (op1 (e12) (e10))))/\((~((op1 (e11) (op1 (e12) (e11))) = (op1 (e12) (e11))))/\((~((op1 (e12) (op1 (e12) (e12))) = (op1 (e12) (e12))))/\(~((op1 (e13) (op1 (e12) (e13))) = (op1 (e12) (e13)))))))\/((~((op1 (e10) (op1 (e13) (e10))) = (op1 (e13) (e10))))/\((~((op1 (e11) (op1 (e13) (e11))) = (op1 (e13) (e11))))/\((~((op1 (e12) (op1 (e13) (e12))) = (op1 (e13) (e12))))/\(~((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e13)))))))))) -> ((e21) = (op2 (e23) (e23))) -> False).
% 33.00/33.17 do 0 intro. intros zenon_H239 zenon_Hb1 zenon_Hac zenon_H92 zenon_H93 zenon_H90 zenon_H9a zenon_Ha1 zenon_Ha7 zenon_He4 zenon_He5 zenon_He6 zenon_Hd7 zenon_Hd3 zenon_He8 zenon_Hb9 zenon_Hc3 zenon_Hc7 zenon_Hcd zenon_Hdf zenon_He9 zenon_Hf9 zenon_Hfd zenon_H19e zenon_H195 zenon_H312 zenon_H1e2 zenon_H2fd zenon_H2fe zenon_H2fb zenon_H1a zenon_H108 zenon_H1dd zenon_H30e zenon_H5a zenon_H68 zenon_H20b zenon_H209 zenon_H1ec zenon_H20c zenon_H1e3 zenon_H210 zenon_H140 zenon_H126 zenon_H1bf zenon_H19f zenon_H172 zenon_H2e1 zenon_H2de zenon_H2e3 zenon_H2f4 zenon_H198 zenon_H2ef zenon_H168 zenon_H2e9 zenon_H2f7 zenon_H179 zenon_H311 zenon_H313 zenon_H171 zenon_H16e zenon_H174 zenon_H145 zenon_H160 zenon_H14e zenon_H153 zenon_H161 zenon_H15f zenon_H175 zenon_H130 zenon_H12c zenon_H128 zenon_H11d zenon_H132 zenon_H139 zenon_H1a0 zenon_H18a zenon_H186 zenon_H211 zenon_H285 zenon_H1e7 zenon_H2cd zenon_H2b1 zenon_H23a zenon_H2be zenon_H1ca zenon_H17.
% 33.00/33.17 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H18 | zenon_intro zenon_H236 ].
% 33.00/33.17 apply zenon_H18. apply sym_equal. exact zenon_H17.
% 33.00/33.17 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfc | zenon_intro zenon_H1cc ].
% 33.00/33.17 apply (zenon_L46_); trivial.
% 33.00/33.17 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1cd ].
% 33.00/33.17 apply (zenon_L176_); trivial.
% 33.00/33.17 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H19d | zenon_intro zenon_H1d4 ].
% 33.00/33.17 apply (zenon_L77_); trivial.
% 33.00/33.17 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_H1d6. zenon_intro zenon_H1d5.
% 33.00/33.17 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1d8. zenon_intro zenon_H1d7.
% 33.00/33.17 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1af. zenon_intro zenon_H1d9.
% 33.00/33.17 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H104 | zenon_intro zenon_H103 ].
% 33.00/33.17 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_Hea | zenon_intro zenon_H94 ].
% 33.00/33.17 apply (zenon_or_s _ _ zenon_H313); [ zenon_intro zenon_H2e2 | zenon_intro zenon_H131 ].
% 33.00/33.17 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H18b | zenon_intro zenon_H14c ].
% 33.00/33.17 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Had ].
% 33.00/33.17 apply (zenon_L30_); trivial.
% 33.00/33.17 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hce | zenon_intro zenon_Hde ].
% 33.00/33.17 apply (zenon_or_s _ _ zenon_H312); [ zenon_intro zenon_H19c | zenon_intro zenon_Hdd ].
% 33.00/33.17 apply (zenon_L184_); trivial.
% 33.00/33.17 apply (zenon_L198_); trivial.
% 33.00/33.17 apply (zenon_L181_); trivial.
% 33.00/33.17 apply (zenon_L74_); trivial.
% 33.00/33.17 apply (zenon_L173_); trivial.
% 33.00/33.17 apply (zenon_L27_); trivial.
% 33.00/33.17 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Hae | zenon_intro zenon_H106 ].
% 33.00/33.17 apply (zenon_L32_); trivial.
% 33.00/33.17 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hdd | zenon_intro zenon_Hfa ].
% 33.00/33.17 apply (zenon_or_s _ _ zenon_H313); [ zenon_intro zenon_H2e2 | zenon_intro zenon_H131 ].
% 33.00/33.17 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Had ].
% 33.00/33.17 apply (zenon_L30_); trivial.
% 33.00/33.17 apply (zenon_L198_); trivial.
% 33.00/33.17 apply (zenon_L175_); trivial.
% 33.00/33.17 apply (zenon_L186_); trivial.
% 33.00/33.17 (* end of lemma zenon_L199_ *)
% 33.00/33.17 assert (zenon_L200_ : ((~((op2 (e20) (e20)) = (e22)))\/((op2 (e20) (e22)) = (e20))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((e21) = (op2 (e23) (e23))) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (op2 (e23) (e21))) = (op2 (e23) (e21)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (op2 (e23) (e20))) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> ((~((op2 (e23) (e23)) = (e21)))\/((op2 (e23) (e21)) = (e23))) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> ((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> (~((h4 (op1 (e10) (e11))) = (op2 (h4 (e10)) (h4 (e11))))) -> ((h4 (e12)) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((h4 (e10)) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((~((op1 (e10) (op1 (e10) (e10))) = (op1 (e10) (e10))))/\((~((op1 (e11) (op1 (e10) (e11))) = (op1 (e10) (e11))))/\((~((op1 (e12) (op1 (e10) (e12))) = (op1 (e10) (e12))))/\(~((op1 (e13) (op1 (e10) (e13))) = (op1 (e10) (e13)))))))\/(((~((op1 (e10) (op1 (e11) (e10))) = (op1 (e11) (e10))))/\((~((op1 (e11) (op1 (e11) (e11))) = (op1 (e11) (e11))))/\((~((op1 (e12) (op1 (e11) (e12))) = (op1 (e11) (e12))))/\(~((op1 (e13) (op1 (e11) (e13))) = (op1 (e11) (e13)))))))\/(((~((op1 (e10) (op1 (e12) (e10))) = (op1 (e12) (e10))))/\((~((op1 (e11) (op1 (e12) (e11))) = (op1 (e12) (e11))))/\((~((op1 (e12) (op1 (e12) (e12))) = (op1 (e12) (e12))))/\(~((op1 (e13) (op1 (e12) (e13))) = (op1 (e12) (e13)))))))\/((~((op1 (e10) (op1 (e13) (e10))) = (op1 (e13) (e10))))/\((~((op1 (e11) (op1 (e13) (e11))) = (op1 (e13) (e11))))/\((~((op1 (e12) (op1 (e13) (e12))) = (op1 (e13) (e12))))/\(~((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e13)))))))))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> False).
% 33.00/33.17 do 0 intro. intros zenon_H279 zenon_H14 zenon_H277 zenon_H2e zenon_H28 zenon_H21 zenon_H17 zenon_H1a zenon_H19 zenon_H248 zenon_H240 zenon_H2c9 zenon_H2c5 zenon_H210 zenon_H2be zenon_H23a zenon_H209 zenon_H2b1 zenon_H2cd zenon_H285 zenon_H1e3 zenon_H4a zenon_H211 zenon_H239 zenon_H1dd zenon_H1e7 zenon_Hb1 zenon_Hac zenon_H92 zenon_H93 zenon_H90 zenon_H9a zenon_Ha1 zenon_Ha7 zenon_He4 zenon_He5 zenon_He6 zenon_Hd7 zenon_Hd3 zenon_He8 zenon_Hb9 zenon_Hc3 zenon_Hc7 zenon_Hcd zenon_Hdf zenon_He9 zenon_Hf9 zenon_Hfd zenon_H19e zenon_H195 zenon_H312 zenon_H2fd zenon_H2fe zenon_H2fb zenon_H108 zenon_H30e zenon_H5a zenon_H20b zenon_H1ec zenon_H140 zenon_H126 zenon_H1bf zenon_H19f zenon_H172 zenon_H2e1 zenon_H2de zenon_H2e3 zenon_H2f4 zenon_H198 zenon_H2ef zenon_H168 zenon_H2e9 zenon_H2f7 zenon_H179 zenon_H311 zenon_H313 zenon_H171 zenon_H16e zenon_H174 zenon_H145 zenon_H160 zenon_H14e zenon_H153 zenon_H161 zenon_H15f zenon_H175 zenon_H130 zenon_H12c zenon_H128 zenon_H11d zenon_H132 zenon_H139 zenon_H1a0 zenon_H18a zenon_H186 zenon_H1ca zenon_H31f zenon_H38.
% 33.00/33.17 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H1fe ].
% 33.00/33.17 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H2f | zenon_intro zenon_H34 ].
% 33.00/33.17 apply (zenon_L7_); trivial.
% 33.00/33.17 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H20c | zenon_intro zenon_H241 ].
% 33.00/33.17 apply (zenon_or_s _ _ zenon_H31f); [ zenon_intro zenon_H27e | zenon_intro zenon_H68 ].
% 33.00/33.17 apply (zenon_L196_); trivial.
% 33.00/33.17 apply (zenon_L199_); trivial.
% 33.00/33.17 apply (zenon_L111_); trivial.
% 33.00/33.17 apply (zenon_L124_); trivial.
% 33.00/33.17 (* end of lemma zenon_L200_ *)
% 33.00/33.17 assert (zenon_L201_ : ((~((op2 (e20) (e20)) = (e20)))\/((op2 (e20) (e20)) = (e20))) -> (((~((op1 (e10) (op1 (e10) (e10))) = (op1 (e10) (e10))))/\((~((op1 (e11) (op1 (e10) (e11))) = (op1 (e10) (e11))))/\((~((op1 (e12) (op1 (e10) (e12))) = (op1 (e10) (e12))))/\(~((op1 (e13) (op1 (e10) (e13))) = (op1 (e10) (e13)))))))\/(((~((op1 (e10) (op1 (e11) (e10))) = (op1 (e11) (e10))))/\((~((op1 (e11) (op1 (e11) (e11))) = (op1 (e11) (e11))))/\((~((op1 (e12) (op1 (e11) (e12))) = (op1 (e11) (e12))))/\(~((op1 (e13) (op1 (e11) (e13))) = (op1 (e11) (e13)))))))\/(((~((op1 (e10) (op1 (e12) (e10))) = (op1 (e12) (e10))))/\((~((op1 (e11) (op1 (e12) (e11))) = (op1 (e12) (e11))))/\((~((op1 (e12) (op1 (e12) (e12))) = (op1 (e12) (e12))))/\(~((op1 (e13) (op1 (e12) (e13))) = (op1 (e12) (e13)))))))\/((~((op1 (e10) (op1 (e13) (e10))) = (op1 (e13) (e10))))/\((~((op1 (e11) (op1 (e13) (e11))) = (op1 (e13) (e11))))/\((~((op1 (e12) (op1 (e13) (e12))) = (op1 (e13) (e12))))/\(~((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e13)))))))))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((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)) = (e13)))\/((op1 (e11) (e13)) = (e11))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> ((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> ((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((h4 (e10)) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((h4 (e12)) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> (~((h4 (op1 (e10) (e11))) = (op2 (h4 (e10)) (h4 (e11))))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((e11) = (e13))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> ((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> ((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (op2 (e23) (e20))) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (op2 (e23) (e22))) = (op2 (e23) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e22)) = (e20))))) -> ((~((op2 (e23) (e23)) = (e21)))\/((op2 (e23) (e21)) = (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((~((op2 (e23) (e23)) = (e20)))\/((op2 (e23) (e20)) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e22)) = (e22)) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> ((~((op2 (e20) (e20)) = (e22)))\/((op2 (e20) (e22)) = (e20))) -> False).
% 33.00/33.17 do 0 intro. intros zenon_H2a5 zenon_H1ca zenon_H1c3 zenon_H1c4 zenon_H1b6 zenon_H1a9 zenon_H1cb zenon_H186 zenon_H18a zenon_H1a0 zenon_H139 zenon_H132 zenon_H11d zenon_H128 zenon_H12c zenon_H130 zenon_H175 zenon_H15f zenon_H161 zenon_H153 zenon_H14e zenon_H160 zenon_H145 zenon_H174 zenon_H16e zenon_H171 zenon_H313 zenon_H311 zenon_H179 zenon_H2f7 zenon_H2e9 zenon_H168 zenon_H2ef zenon_H198 zenon_H2f4 zenon_H2e3 zenon_H2de zenon_H2e1 zenon_H172 zenon_H19f zenon_H1bf zenon_H126 zenon_H140 zenon_H30e zenon_H108 zenon_H2fb zenon_H2fe zenon_H2fd zenon_H312 zenon_H195 zenon_H19e zenon_Hfd zenon_Hf9 zenon_He9 zenon_Hdf zenon_Hcd zenon_Hc7 zenon_Hc3 zenon_Hb9 zenon_He8 zenon_Hd3 zenon_Hd7 zenon_He6 zenon_He5 zenon_He4 zenon_Ha7 zenon_Ha1 zenon_H9a zenon_H90 zenon_H93 zenon_H92 zenon_Hac zenon_Hb1 zenon_H277 zenon_H38 zenon_H247 zenon_H245 zenon_H29f zenon_H29e zenon_H285 zenon_H28b zenon_H293 zenon_H297 zenon_H239 zenon_H234 zenon_H244 zenon_H1dc zenon_H1dd zenon_H211 zenon_H1ec zenon_H68 zenon_H201 zenon_H1fd zenon_H20b zenon_H1e7 zenon_H1e3 zenon_H5a zenon_H209 zenon_H210 zenon_H240 zenon_H248 zenon_H19 zenon_H1a zenon_H17 zenon_H21 zenon_H28 zenon_H2e zenon_H279.
% 33.00/33.17 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_H15 | zenon_intro zenon_H14 ].
% 33.00/33.17 apply (zenon_L138_); trivial.
% 33.00/33.17 apply (zenon_L189_); trivial.
% 33.00/33.17 (* end of lemma zenon_L201_ *)
% 33.00/33.17 assert (zenon_L202_ : (~((h4 (e12)) = (e22))) -> ((h4 (e12)) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> False).
% 33.00/33.17 do 0 intro. intros zenon_H325 zenon_H2fe zenon_H1dd.
% 33.00/33.17 cut (((h4 (e12)) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) = ((h4 (e12)) = (e22))).
% 33.00/33.17 intro zenon_D_pnotp.
% 33.00/33.17 apply zenon_H325.
% 33.00/33.17 rewrite <- zenon_D_pnotp.
% 33.00/33.17 exact zenon_H2fe.
% 33.00/33.17 cut (((op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H326].
% 33.00/33.17 cut (((h4 (e12)) = (h4 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H327].
% 33.00/33.17 congruence.
% 33.00/33.17 apply zenon_H327. apply refl_equal.
% 33.02/33.18 apply zenon_H326. apply sym_equal. exact zenon_H1dd.
% 33.02/33.18 (* end of lemma zenon_L202_ *)
% 33.02/33.18 assert (zenon_L203_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e20)) = (e21))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((h4 (op1 (e10) (e12))) = (op2 (h4 (e10)) (h4 (e12))))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((h4 (e10)) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((h4 (e12)) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (e11))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> False).
% 33.02/33.18 do 0 intro. intros zenon_H71 zenon_H75 zenon_H4e zenon_H55 zenon_H4a zenon_H34 zenon_H40 zenon_H54 zenon_H90 zenon_Hd7 zenon_H328 zenon_H2fb zenon_H108 zenon_H1a zenon_H2fe zenon_H1dd zenon_Hcd zenon_Hb9 zenon_Had zenon_Hc3 zenon_Hce zenon_Hc7 zenon_Hea zenon_He6 zenon_H62 zenon_H17.
% 33.02/33.18 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H78 | zenon_intro zenon_H77 ].
% 33.02/33.18 exact (zenon_H75 zenon_H78).
% 33.02/33.18 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H4b | zenon_intro zenon_H79 ].
% 33.02/33.18 apply (zenon_L15_); trivial.
% 33.02/33.18 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H59 | zenon_intro zenon_H63 ].
% 33.02/33.18 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hed | zenon_intro zenon_Hec ].
% 33.02/33.18 exact (zenon_Hea zenon_Hed).
% 33.02/33.18 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hee ].
% 33.02/33.18 apply (zenon_L38_); trivial.
% 33.02/33.18 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_Hef | zenon_intro zenon_Hd8 ].
% 33.02/33.18 cut (((h4 (e11)) = (op2 (e23) (e23))) = ((h4 (op1 (e10) (e12))) = (op2 (h4 (e10)) (h4 (e12))))).
% 33.02/33.18 intro zenon_D_pnotp.
% 33.02/33.18 apply zenon_H328.
% 33.02/33.18 rewrite <- zenon_D_pnotp.
% 33.02/33.18 exact zenon_H2fb.
% 33.02/33.18 cut (((op2 (e23) (e23)) = (op2 (h4 (e10)) (h4 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H329].
% 33.02/33.18 cut (((h4 (e11)) = (h4 (op1 (e10) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H32a].
% 33.02/33.18 congruence.
% 33.02/33.18 elim (classic ((h4 (op1 (e10) (e12))) = (h4 (op1 (e10) (e12))))); [ zenon_intro zenon_H32b | zenon_intro zenon_H32c ].
% 33.02/33.18 cut (((h4 (op1 (e10) (e12))) = (h4 (op1 (e10) (e12)))) = ((h4 (e11)) = (h4 (op1 (e10) (e12))))).
% 33.02/33.18 intro zenon_D_pnotp.
% 33.02/33.18 apply zenon_H32a.
% 33.02/33.18 rewrite <- zenon_D_pnotp.
% 33.02/33.18 exact zenon_H32b.
% 33.02/33.18 cut (((h4 (op1 (e10) (e12))) = (h4 (op1 (e10) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H32c].
% 33.02/33.18 cut (((h4 (op1 (e10) (e12))) = (h4 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H32d].
% 33.02/33.18 congruence.
% 33.02/33.18 cut (((op1 (e10) (e12)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_Hf7].
% 33.02/33.18 congruence.
% 33.02/33.18 exact (zenon_Hf7 zenon_Hef).
% 33.02/33.18 apply zenon_H32c. apply refl_equal.
% 33.02/33.18 apply zenon_H32c. apply refl_equal.
% 33.02/33.18 elim (classic ((op2 (h4 (e10)) (h4 (e12))) = (op2 (h4 (e10)) (h4 (e12))))); [ zenon_intro zenon_H32e | zenon_intro zenon_H32f ].
% 33.02/33.18 cut (((op2 (h4 (e10)) (h4 (e12))) = (op2 (h4 (e10)) (h4 (e12)))) = ((op2 (e23) (e23)) = (op2 (h4 (e10)) (h4 (e12))))).
% 33.02/33.18 intro zenon_D_pnotp.
% 33.02/33.18 apply zenon_H329.
% 33.02/33.18 rewrite <- zenon_D_pnotp.
% 33.02/33.18 exact zenon_H32e.
% 33.02/33.18 cut (((op2 (h4 (e10)) (h4 (e12))) = (op2 (h4 (e10)) (h4 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H32f].
% 33.02/33.18 cut (((op2 (h4 (e10)) (h4 (e12))) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H330].
% 33.02/33.18 congruence.
% 33.02/33.18 cut (((op2 (e20) (e22)) = (e21)) = ((op2 (h4 (e10)) (h4 (e12))) = (op2 (e23) (e23)))).
% 33.02/33.18 intro zenon_D_pnotp.
% 33.02/33.18 apply zenon_H330.
% 33.02/33.18 rewrite <- zenon_D_pnotp.
% 33.02/33.18 exact zenon_H59.
% 33.02/33.18 cut (((e21) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H331].
% 33.02/33.18 cut (((op2 (e20) (e22)) = (op2 (h4 (e10)) (h4 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H332].
% 33.02/33.18 congruence.
% 33.02/33.18 elim (classic ((op2 (h4 (e10)) (h4 (e12))) = (op2 (h4 (e10)) (h4 (e12))))); [ zenon_intro zenon_H32e | zenon_intro zenon_H32f ].
% 33.02/33.18 cut (((op2 (h4 (e10)) (h4 (e12))) = (op2 (h4 (e10)) (h4 (e12)))) = ((op2 (e20) (e22)) = (op2 (h4 (e10)) (h4 (e12))))).
% 33.02/33.18 intro zenon_D_pnotp.
% 33.02/33.18 apply zenon_H332.
% 33.02/33.18 rewrite <- zenon_D_pnotp.
% 33.02/33.18 exact zenon_H32e.
% 33.02/33.18 cut (((op2 (h4 (e10)) (h4 (e12))) = (op2 (h4 (e10)) (h4 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H32f].
% 33.02/33.18 cut (((op2 (h4 (e10)) (h4 (e12))) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H333].
% 33.02/33.18 congruence.
% 33.02/33.18 cut (((h4 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H325].
% 33.02/33.18 cut (((h4 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H107].
% 33.02/33.18 congruence.
% 33.02/33.18 apply (zenon_L47_); trivial.
% 33.02/33.18 apply (zenon_L202_); trivial.
% 33.02/33.18 apply zenon_H32f. apply refl_equal.
% 33.02/33.18 apply zenon_H32f. apply refl_equal.
% 33.02/33.18 exact (zenon_H331 zenon_H17).
% 33.02/33.18 apply zenon_H32f. apply refl_equal.
% 33.02/33.18 apply zenon_H32f. apply refl_equal.
% 33.02/33.18 apply (zenon_L41_); trivial.
% 33.02/33.18 apply (zenon_L19_); trivial.
% 33.02/33.18 (* end of lemma zenon_L203_ *)
% 33.02/33.18 assert (zenon_L204_ : ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((h4 (op1 (e10) (e12))) = (op2 (h4 (e10)) (h4 (e12))))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((h4 (e12)) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((h4 (e10)) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (e20)) = (e21)) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e20) (e20)) = (e21))) -> ((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))) -> (~((op1 (e10) (op1 (e11) (e10))) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((op1 (e10) (e10)) = (e10)) -> ((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10))) -> False).
% 33.02/33.18 do 0 intro. intros zenon_He4 zenon_Hb1 zenon_H71 zenon_H62 zenon_Hcd zenon_Hc7 zenon_Hc3 zenon_Hb9 zenon_H328 zenon_H2fb zenon_H1dd zenon_H2fe zenon_H1a zenon_H108 zenon_Hd7 zenon_He6 zenon_H40 zenon_H34 zenon_H17 zenon_H4a zenon_H55 zenon_H4e zenon_H54 zenon_H75 zenon_H172 zenon_H1d0 zenon_H2e1 zenon_H2de zenon_H179 zenon_H2e3 zenon_H1bf zenon_H126 zenon_H140 zenon_He9 zenon_H92 zenon_H93 zenon_H90 zenon_H9a zenon_Ha1 zenon_Ha7 zenon_H311 zenon_H104 zenon_H313.
% 33.02/33.18 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_Hea | zenon_intro zenon_H94 ].
% 33.02/33.18 apply (zenon_or_s _ _ zenon_H313); [ zenon_intro zenon_H2e2 | zenon_intro zenon_H131 ].
% 33.02/33.18 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Had ].
% 33.02/33.18 apply (zenon_L30_); trivial.
% 33.02/33.18 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hce | zenon_intro zenon_Hde ].
% 33.02/33.18 apply (zenon_L203_); trivial.
% 33.02/33.18 apply (zenon_L159_); trivial.
% 33.02/33.18 apply (zenon_L173_); trivial.
% 33.02/33.18 apply (zenon_L27_); trivial.
% 33.02/33.18 (* end of lemma zenon_L204_ *)
% 33.02/33.18 assert (zenon_L205_ : (((~((op1 (e10) (op1 (e10) (e10))) = (op1 (e10) (e10))))/\((~((op1 (e11) (op1 (e10) (e11))) = (op1 (e10) (e11))))/\((~((op1 (e12) (op1 (e10) (e12))) = (op1 (e10) (e12))))/\(~((op1 (e13) (op1 (e10) (e13))) = (op1 (e10) (e13)))))))\/(((~((op1 (e10) (op1 (e11) (e10))) = (op1 (e11) (e10))))/\((~((op1 (e11) (op1 (e11) (e11))) = (op1 (e11) (e11))))/\((~((op1 (e12) (op1 (e11) (e12))) = (op1 (e11) (e12))))/\(~((op1 (e13) (op1 (e11) (e13))) = (op1 (e11) (e13)))))))\/(((~((op1 (e10) (op1 (e12) (e10))) = (op1 (e12) (e10))))/\((~((op1 (e11) (op1 (e12) (e11))) = (op1 (e12) (e11))))/\((~((op1 (e12) (op1 (e12) (e12))) = (op1 (e12) (e12))))/\(~((op1 (e13) (op1 (e12) (e13))) = (op1 (e12) (e13)))))))\/((~((op1 (e10) (op1 (e13) (e10))) = (op1 (e13) (e10))))/\((~((op1 (e11) (op1 (e13) (e11))) = (op1 (e13) (e11))))/\((~((op1 (e12) (op1 (e13) (e12))) = (op1 (e13) (e12))))/\(~((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e13)))))))))) -> (~((op1 (e13) (e11)) = (op1 (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) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> ((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((h4 (op1 (e10) (e12))) = (op2 (h4 (e10)) (h4 (e12))))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((h4 (e12)) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((h4 (e10)) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (e20)) = (e21)) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e20) (e20)) = (e21))) -> ((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> ((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11))) -> ((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10))) -> False).
% 33.02/33.18 do 0 intro. intros zenon_H1ca zenon_Hd3 zenon_He8 zenon_Hdf zenon_H1cb zenon_H311 zenon_H2e3 zenon_H2de zenon_H174 zenon_H161 zenon_H153 zenon_H14e zenon_H160 zenon_H145 zenon_H173 zenon_Hf9 zenon_H1a0 zenon_H195 zenon_H15f zenon_H179 zenon_H18a zenon_H186 zenon_H19f zenon_H19e zenon_Hfd zenon_He4 zenon_Hb1 zenon_H71 zenon_H62 zenon_Hcd zenon_Hc7 zenon_Hc3 zenon_Hb9 zenon_H328 zenon_H2fb zenon_H1dd zenon_H2fe zenon_H1a zenon_H108 zenon_Hd7 zenon_He6 zenon_H40 zenon_H34 zenon_H17 zenon_H4a zenon_H55 zenon_H4e zenon_H54 zenon_H75 zenon_H172 zenon_H2e1 zenon_H1bf zenon_H126 zenon_H140 zenon_H2f4 zenon_H198 zenon_H168 zenon_H2e9 zenon_H30e zenon_He9 zenon_H92 zenon_H93 zenon_H90 zenon_H9a zenon_Ha1 zenon_Ha7 zenon_H171 zenon_H16e zenon_H130 zenon_H12c zenon_H128 zenon_H11d zenon_H132 zenon_H139 zenon_H175 zenon_Hac zenon_He5 zenon_H313.
% 33.02/33.18 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfc | zenon_intro zenon_H1cc ].
% 33.02/33.18 apply (zenon_L46_); trivial.
% 33.02/33.18 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1cd ].
% 33.02/33.18 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_H1d0. zenon_intro zenon_H1cf.
% 33.02/33.18 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1d2. zenon_intro zenon_H1d1.
% 33.02/33.18 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H156. zenon_intro zenon_H1d3.
% 33.02/33.18 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H104 | zenon_intro zenon_H103 ].
% 33.02/33.18 apply (zenon_L204_); trivial.
% 33.02/33.18 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Hae | zenon_intro zenon_H106 ].
% 33.02/33.18 apply (zenon_L32_); trivial.
% 33.02/33.18 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hdd | zenon_intro zenon_Hfa ].
% 33.02/33.18 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H105 | zenon_intro zenon_H104 ].
% 33.02/33.18 apply (zenon_L66_); trivial.
% 33.02/33.18 apply (zenon_L204_); trivial.
% 33.02/33.18 apply (zenon_L45_); trivial.
% 33.02/33.18 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H19d | zenon_intro zenon_H1d4 ].
% 33.02/33.18 apply (zenon_L77_); trivial.
% 33.02/33.18 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_H1d6. zenon_intro zenon_H1d5.
% 33.02/33.18 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1d8. zenon_intro zenon_H1d7.
% 33.02/33.18 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_Hea | zenon_intro zenon_H94 ].
% 33.02/33.18 apply (zenon_or_s _ _ zenon_H313); [ zenon_intro zenon_H2e2 | zenon_intro zenon_H131 ].
% 33.02/33.18 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Had ].
% 33.02/33.18 apply (zenon_L30_); trivial.
% 33.02/33.18 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hce | zenon_intro zenon_Hde ].
% 33.02/33.18 apply (zenon_L203_); trivial.
% 33.02/33.18 apply (zenon_L181_); trivial.
% 33.02/33.18 apply (zenon_L175_); trivial.
% 33.02/33.18 apply (zenon_L27_); trivial.
% 33.02/33.18 (* end of lemma zenon_L205_ *)
% 33.02/33.18 assert (zenon_L206_ : ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e21)) = (e21))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (e20))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e20) (op2 (e21) (e20))) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e20)) = (e21))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e21)) = (e22)) -> ((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22))) -> False).
% 33.02/33.18 do 0 intro. intros zenon_H31f zenon_H6a zenon_H71 zenon_H62 zenon_H54 zenon_H4e zenon_H5a zenon_H4a zenon_H17 zenon_H40 zenon_H76 zenon_H2b8 zenon_H1fa zenon_H5e zenon_H73 zenon_H34 zenon_H2aa zenon_H75 zenon_H2d0 zenon_H69 zenon_H2d1.
% 33.02/33.18 apply (zenon_or_s _ _ zenon_H31f); [ zenon_intro zenon_H27e | zenon_intro zenon_H68 ].
% 33.02/33.18 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H2b9 | zenon_intro zenon_H2c4 ].
% 33.02/33.18 apply (zenon_L144_); trivial.
% 33.02/33.18 apply (zenon_L152_); trivial.
% 33.02/33.18 apply (zenon_L20_); trivial.
% 33.02/33.18 (* end of lemma zenon_L206_ *)
% 33.02/33.18 assert (zenon_L207_ : ((~((op2 (e20) (op2 (e21) (e20))) = (op2 (e21) (e20))))/\((~((op2 (e21) (op2 (e21) (e21))) = (op2 (e21) (e21))))/\((~((op2 (e22) (op2 (e21) (e22))) = (op2 (e21) (e22))))/\(~((op2 (e23) (op2 (e21) (e23))) = (op2 (e21) (e23))))))) -> ((~((op2 (e20) (e20)) = (e21)))\/((op2 (e20) (e21)) = (e20))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((e21) = (op2 (e23) (e23))) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((~((op2 (e21) (e21)) = (e21)))\/((op2 (e21) (e21)) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((~((op2 (e22) (e22)) = (e21)))\/((op2 (e22) (e21)) = (e22))) -> ((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> ((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((h4 (op1 (e10) (e12))) = (op2 (h4 (e10)) (h4 (e12))))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((h4 (e12)) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((h4 (e10)) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> ((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((~((op1 (e10) (op1 (e10) (e10))) = (op1 (e10) (e10))))/\((~((op1 (e11) (op1 (e10) (e11))) = (op1 (e10) (e11))))/\((~((op1 (e12) (op1 (e10) (e12))) = (op1 (e10) (e12))))/\(~((op1 (e13) (op1 (e10) (e13))) = (op1 (e10) (e13)))))))\/(((~((op1 (e10) (op1 (e11) (e10))) = (op1 (e11) (e10))))/\((~((op1 (e11) (op1 (e11) (e11))) = (op1 (e11) (e11))))/\((~((op1 (e12) (op1 (e11) (e12))) = (op1 (e11) (e12))))/\(~((op1 (e13) (op1 (e11) (e13))) = (op1 (e11) (e13)))))))\/(((~((op1 (e10) (op1 (e12) (e10))) = (op1 (e12) (e10))))/\((~((op1 (e11) (op1 (e12) (e11))) = (op1 (e12) (e11))))/\((~((op1 (e12) (op1 (e12) (e12))) = (op1 (e12) (e12))))/\(~((op1 (e13) (op1 (e12) (e13))) = (op1 (e12) (e13)))))))\/((~((op1 (e10) (op1 (e13) (e10))) = (op1 (e13) (e10))))/\((~((op1 (e11) (op1 (e13) (e11))) = (op1 (e13) (e11))))/\((~((op1 (e12) (op1 (e13) (e12))) = (op1 (e13) (e12))))/\(~((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e13)))))))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> False).
% 33.02/33.18 do 0 intro. intros zenon_H2a8 zenon_H6f zenon_H2e zenon_H28 zenon_H21 zenon_H17 zenon_H1a zenon_H19 zenon_H70 zenon_H33 zenon_H74 zenon_H2d1 zenon_H2d0 zenon_H73 zenon_H5e zenon_H2b8 zenon_H5a zenon_H6a zenon_H31f zenon_Hb1 zenon_Hac zenon_H92 zenon_H93 zenon_H90 zenon_H9a zenon_Ha1 zenon_Ha7 zenon_He4 zenon_He5 zenon_He6 zenon_Hd7 zenon_Hd3 zenon_He8 zenon_Hb9 zenon_Hc3 zenon_Hc7 zenon_Hcd zenon_Hdf zenon_He9 zenon_Hf9 zenon_Hfd zenon_H71 zenon_H62 zenon_H328 zenon_H2fb zenon_H1dd zenon_H2fe zenon_H108 zenon_H40 zenon_H4a zenon_H4e zenon_H54 zenon_H172 zenon_H2e1 zenon_H2de zenon_H179 zenon_H2e3 zenon_H1bf zenon_H126 zenon_H140 zenon_H311 zenon_H313 zenon_H1cb zenon_H175 zenon_H168 zenon_H174 zenon_H139 zenon_H132 zenon_H11d zenon_H128 zenon_H12c zenon_H130 zenon_H15f zenon_H161 zenon_H153 zenon_H14e zenon_H160 zenon_H145 zenon_H173 zenon_H16e zenon_H171 zenon_H1a0 zenon_H198 zenon_H195 zenon_H18a zenon_H186 zenon_H19f zenon_H19e zenon_H30e zenon_H2e9 zenon_H2f4 zenon_H1ca zenon_H1e7 zenon_H247 zenon_H38.
% 33.02/33.18 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H2aa. zenon_intro zenon_H2a9.
% 33.02/33.18 apply (zenon_or_s _ _ zenon_H6f); [ zenon_intro zenon_H75 | zenon_intro zenon_H1b ].
% 33.02/33.18 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H2f | zenon_intro zenon_H34 ].
% 33.02/33.18 apply (zenon_L7_); trivial.
% 33.02/33.18 apply (zenon_or_s _ _ zenon_H70); [ zenon_intro zenon_H76 | zenon_intro zenon_H35 ].
% 33.02/33.18 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H1fa | zenon_intro zenon_H1e8 ].
% 33.02/33.18 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H55 | zenon_intro zenon_H69 ].
% 33.02/33.18 apply (zenon_L205_); trivial.
% 33.02/33.18 apply (zenon_L206_); trivial.
% 33.02/33.18 apply (zenon_L91_); trivial.
% 33.02/33.18 apply (zenon_L8_); trivial.
% 33.02/33.18 apply (zenon_L4_); trivial.
% 33.02/33.18 (* end of lemma zenon_L207_ *)
% 33.02/33.18 assert (zenon_L208_ : ((~((op2 (e20) (e20)) = (e21)))\/((op2 (e20) (e21)) = (e20))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> (((~((op1 (e10) (op1 (e10) (e10))) = (op1 (e10) (e10))))/\((~((op1 (e11) (op1 (e10) (e11))) = (op1 (e10) (e11))))/\((~((op1 (e12) (op1 (e10) (e12))) = (op1 (e10) (e12))))/\(~((op1 (e13) (op1 (e10) (e13))) = (op1 (e10) (e13)))))))\/(((~((op1 (e10) (op1 (e11) (e10))) = (op1 (e11) (e10))))/\((~((op1 (e11) (op1 (e11) (e11))) = (op1 (e11) (e11))))/\((~((op1 (e12) (op1 (e11) (e12))) = (op1 (e11) (e12))))/\(~((op1 (e13) (op1 (e11) (e13))) = (op1 (e11) (e13)))))))\/(((~((op1 (e10) (op1 (e12) (e10))) = (op1 (e12) (e10))))/\((~((op1 (e11) (op1 (e12) (e11))) = (op1 (e12) (e11))))/\((~((op1 (e12) (op1 (e12) (e12))) = (op1 (e12) (e12))))/\(~((op1 (e13) (op1 (e12) (e13))) = (op1 (e12) (e13)))))))\/((~((op1 (e10) (op1 (e13) (e10))) = (op1 (e13) (e10))))/\((~((op1 (e11) (op1 (e13) (e11))) = (op1 (e13) (e11))))/\((~((op1 (e12) (op1 (e13) (e12))) = (op1 (e13) (e12))))/\(~((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e13)))))))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> ((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> ((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> ((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((h4 (e10)) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((h4 (e12)) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> (~((h4 (op1 (e10) (e12))) = (op2 (h4 (e10)) (h4 (e12))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((e11) = (e13))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> ((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> ((~((op2 (e23) (e23)) = (e21)))\/((op2 (e23) (e21)) = (e23))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (op2 (e23) (e20))) = (op2 (e23) (e20)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (op2 (e23) (e21))) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> ((~((op2 (e22) (e22)) = (e21)))\/((op2 (e22) (e21)) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> ((op2 (e20) (e20)) = (e20)) -> ((~((op2 (e20) (e20)) = (e22)))\/((op2 (e20) (e22)) = (e20))) -> False).
% 33.02/33.18 do 0 intro. intros zenon_H6f zenon_H38 zenon_H1ca zenon_H2f4 zenon_H2e9 zenon_H30e zenon_H19e zenon_H19f zenon_H186 zenon_H18a zenon_H195 zenon_H198 zenon_H1a0 zenon_H171 zenon_H16e zenon_H173 zenon_H145 zenon_H160 zenon_H14e zenon_H153 zenon_H161 zenon_H15f zenon_H130 zenon_H12c zenon_H128 zenon_H11d zenon_H132 zenon_H139 zenon_H174 zenon_H168 zenon_H175 zenon_H1cb zenon_H313 zenon_H311 zenon_H140 zenon_H126 zenon_H1bf zenon_H2e3 zenon_H179 zenon_H2de zenon_H2e1 zenon_H172 zenon_H54 zenon_H4e zenon_H4a zenon_H40 zenon_H108 zenon_H2fe zenon_H1dd zenon_H2fb zenon_H328 zenon_H62 zenon_H71 zenon_Hfd zenon_Hf9 zenon_He9 zenon_Hdf zenon_Hcd zenon_Hc7 zenon_Hc3 zenon_Hb9 zenon_He8 zenon_Hd3 zenon_Hd7 zenon_He6 zenon_He5 zenon_He4 zenon_Ha7 zenon_Ha1 zenon_H9a zenon_H90 zenon_H93 zenon_H92 zenon_Hac zenon_Hb1 zenon_H239 zenon_H211 zenon_H1e7 zenon_H1e3 zenon_H285 zenon_H2cd zenon_H2b1 zenon_H209 zenon_H23a zenon_H2be zenon_H210 zenon_H74 zenon_H19 zenon_H1a zenon_H17 zenon_H21 zenon_H28 zenon_H2e zenon_H277 zenon_H14 zenon_H279.
% 33.02/33.18 apply (zenon_or_s _ _ zenon_H6f); [ zenon_intro zenon_H75 | zenon_intro zenon_H1b ].
% 33.02/33.18 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H1fe ].
% 33.02/33.18 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H2f | zenon_intro zenon_H34 ].
% 33.02/33.18 apply (zenon_L7_); trivial.
% 33.02/33.18 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H55 | zenon_intro zenon_H69 ].
% 33.02/33.18 apply (zenon_L205_); trivial.
% 33.02/33.18 apply (zenon_L194_); trivial.
% 33.02/33.18 apply (zenon_L124_); trivial.
% 33.02/33.18 apply (zenon_L4_); trivial.
% 33.02/33.18 (* end of lemma zenon_L208_ *)
% 33.02/33.18 assert (zenon_L209_ : ((~((op2 (e20) (e20)) = (e21)))\/((op2 (e20) (e21)) = (e20))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((e21) = (op2 (e23) (e23))) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((~((op2 (e22) (e22)) = (e21)))\/((op2 (e22) (e21)) = (e22))) -> ((op2 (e22) (e22)) = (e22)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> ((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((h4 (op1 (e10) (e12))) = (op2 (h4 (e10)) (h4 (e12))))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((h4 (e12)) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((h4 (e10)) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> ((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((~((op1 (e10) (op1 (e10) (e10))) = (op1 (e10) (e10))))/\((~((op1 (e11) (op1 (e10) (e11))) = (op1 (e10) (e11))))/\((~((op1 (e12) (op1 (e10) (e12))) = (op1 (e10) (e12))))/\(~((op1 (e13) (op1 (e10) (e13))) = (op1 (e10) (e13)))))))\/(((~((op1 (e10) (op1 (e11) (e10))) = (op1 (e11) (e10))))/\((~((op1 (e11) (op1 (e11) (e11))) = (op1 (e11) (e11))))/\((~((op1 (e12) (op1 (e11) (e12))) = (op1 (e11) (e12))))/\(~((op1 (e13) (op1 (e11) (e13))) = (op1 (e11) (e13)))))))\/(((~((op1 (e10) (op1 (e12) (e10))) = (op1 (e12) (e10))))/\((~((op1 (e11) (op1 (e12) (e11))) = (op1 (e12) (e11))))/\((~((op1 (e12) (op1 (e12) (e12))) = (op1 (e12) (e12))))/\(~((op1 (e13) (op1 (e12) (e13))) = (op1 (e12) (e13)))))))\/((~((op1 (e10) (op1 (e13) (e10))) = (op1 (e13) (e10))))/\((~((op1 (e11) (op1 (e13) (e11))) = (op1 (e13) (e11))))/\((~((op1 (e12) (op1 (e13) (e12))) = (op1 (e13) (e12))))/\(~((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e13)))))))))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> False).
% 33.02/33.18 do 0 intro. intros zenon_H6f zenon_H2e zenon_H28 zenon_H21 zenon_H17 zenon_H1a zenon_H19 zenon_H74 zenon_H68 zenon_H6a zenon_Hb1 zenon_Hac zenon_H92 zenon_H93 zenon_H90 zenon_H9a zenon_Ha1 zenon_Ha7 zenon_He4 zenon_He5 zenon_He6 zenon_Hd7 zenon_Hd3 zenon_He8 zenon_Hb9 zenon_Hc3 zenon_Hc7 zenon_Hcd zenon_Hdf zenon_He9 zenon_Hf9 zenon_Hfd zenon_H71 zenon_H62 zenon_H328 zenon_H2fb zenon_H1dd zenon_H2fe zenon_H108 zenon_H40 zenon_H4a zenon_H4e zenon_H54 zenon_H172 zenon_H2e1 zenon_H2de zenon_H179 zenon_H2e3 zenon_H1bf zenon_H126 zenon_H140 zenon_H311 zenon_H313 zenon_H1cb zenon_H175 zenon_H168 zenon_H174 zenon_H139 zenon_H132 zenon_H11d zenon_H128 zenon_H12c zenon_H130 zenon_H15f zenon_H161 zenon_H153 zenon_H14e zenon_H160 zenon_H145 zenon_H173 zenon_H16e zenon_H171 zenon_H1a0 zenon_H198 zenon_H195 zenon_H18a zenon_H186 zenon_H19f zenon_H19e zenon_H30e zenon_H2e9 zenon_H2f4 zenon_H1ca zenon_H38.
% 33.02/33.18 apply (zenon_or_s _ _ zenon_H6f); [ zenon_intro zenon_H75 | zenon_intro zenon_H1b ].
% 33.02/33.18 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H2f | zenon_intro zenon_H34 ].
% 33.02/33.18 apply (zenon_L7_); trivial.
% 33.02/33.18 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H55 | zenon_intro zenon_H69 ].
% 33.02/33.18 apply (zenon_L205_); trivial.
% 33.02/33.18 apply (zenon_L20_); trivial.
% 33.02/33.18 apply (zenon_L4_); trivial.
% 33.02/33.18 (* end of lemma zenon_L209_ *)
% 33.02/33.18 assert (zenon_L210_ : (((~((op2 (e20) (op2 (e20) (e20))) = (op2 (e20) (e20))))/\((~((op2 (e21) (op2 (e20) (e21))) = (op2 (e20) (e21))))/\((~((op2 (e22) (op2 (e20) (e22))) = (op2 (e20) (e22))))/\(~((op2 (e23) (op2 (e20) (e23))) = (op2 (e20) (e23)))))))\/(((~((op2 (e20) (op2 (e21) (e20))) = (op2 (e21) (e20))))/\((~((op2 (e21) (op2 (e21) (e21))) = (op2 (e21) (e21))))/\((~((op2 (e22) (op2 (e21) (e22))) = (op2 (e21) (e22))))/\(~((op2 (e23) (op2 (e21) (e23))) = (op2 (e21) (e23)))))))\/(((~((op2 (e20) (op2 (e22) (e20))) = (op2 (e22) (e20))))/\((~((op2 (e21) (op2 (e22) (e21))) = (op2 (e22) (e21))))/\((~((op2 (e22) (op2 (e22) (e22))) = (op2 (e22) (e22))))/\(~((op2 (e23) (op2 (e22) (e23))) = (op2 (e22) (e23)))))))\/((~((op2 (e20) (op2 (e23) (e20))) = (op2 (e23) (e20))))/\((~((op2 (e21) (op2 (e23) (e21))) = (op2 (e23) (e21))))/\((~((op2 (e22) (op2 (e23) (e22))) = (op2 (e23) (e22))))/\(~((op2 (e23) (op2 (e23) (e23))) = (op2 (e23) (e23)))))))))) -> ((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22))) -> ((~((op2 (e21) (e21)) = (e21)))\/((op2 (e21) (e21)) = (e21))) -> (~((e21) = (e23))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> ((~((op2 (e20) (e20)) = (e22)))\/((op2 (e20) (e22)) = (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (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)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> ((~((op2 (e23) (e23)) = (e21)))\/((op2 (e23) (e21)) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> (((~((op1 (e10) (op1 (e10) (e10))) = (op1 (e10) (e10))))/\((~((op1 (e11) (op1 (e10) (e11))) = (op1 (e10) (e11))))/\((~((op1 (e12) (op1 (e10) (e12))) = (op1 (e10) (e12))))/\(~((op1 (e13) (op1 (e10) (e13))) = (op1 (e10) (e13)))))))\/(((~((op1 (e10) (op1 (e11) (e10))) = (op1 (e11) (e10))))/\((~((op1 (e11) (op1 (e11) (e11))) = (op1 (e11) (e11))))/\((~((op1 (e12) (op1 (e11) (e12))) = (op1 (e11) (e12))))/\(~((op1 (e13) (op1 (e11) (e13))) = (op1 (e11) (e13)))))))\/(((~((op1 (e10) (op1 (e12) (e10))) = (op1 (e12) (e10))))/\((~((op1 (e11) (op1 (e12) (e11))) = (op1 (e12) (e11))))/\((~((op1 (e12) (op1 (e12) (e12))) = (op1 (e12) (e12))))/\(~((op1 (e13) (op1 (e12) (e13))) = (op1 (e12) (e13)))))))\/((~((op1 (e10) (op1 (e13) (e10))) = (op1 (e13) (e10))))/\((~((op1 (e11) (op1 (e13) (e11))) = (op1 (e13) (e11))))/\((~((op1 (e12) (op1 (e13) (e12))) = (op1 (e13) (e12))))/\(~((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e13)))))))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> ((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> ((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> ((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((h4 (e10)) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((h4 (e12)) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> (~((h4 (op1 (e10) (e12))) = (op2 (h4 (e10)) (h4 (e12))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((e11) = (e13))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> ((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((~((op2 (e22) (e22)) = (e21)))\/((op2 (e22) (e21)) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> ((~((op2 (e20) (e20)) = (e21)))\/((op2 (e20) (e21)) = (e20))) -> False).
% 33.02/33.18 do 0 intro. intros zenon_H2a4 zenon_H247 zenon_H31f zenon_H5a zenon_H2b8 zenon_H5e zenon_H73 zenon_H2d0 zenon_H2d1 zenon_H70 zenon_H83 zenon_H248 zenon_H240 zenon_H24b zenon_H25f zenon_H234 zenon_H251 zenon_H20b zenon_H268 zenon_H274 zenon_H27a zenon_H87 zenon_H279 zenon_H277 zenon_H210 zenon_H2be zenon_H23a zenon_H209 zenon_H2cd zenon_H1e3 zenon_H1e7 zenon_H211 zenon_H239 zenon_H33 zenon_H38 zenon_H1ca zenon_H2f4 zenon_H2e9 zenon_H30e zenon_H19e zenon_H19f zenon_H186 zenon_H18a zenon_H195 zenon_H198 zenon_H1a0 zenon_H171 zenon_H16e zenon_H173 zenon_H145 zenon_H160 zenon_H14e zenon_H153 zenon_H161 zenon_H15f zenon_H130 zenon_H12c zenon_H128 zenon_H11d zenon_H132 zenon_H139 zenon_H174 zenon_H168 zenon_H175 zenon_H1cb zenon_H313 zenon_H311 zenon_H140 zenon_H126 zenon_H1bf zenon_H2e3 zenon_H179 zenon_H2de zenon_H2e1 zenon_H172 zenon_H54 zenon_H4e zenon_H4a zenon_H40 zenon_H108 zenon_H2fe zenon_H1dd zenon_H2fb zenon_H328 zenon_H62 zenon_H71 zenon_Hfd zenon_Hf9 zenon_He9 zenon_Hdf zenon_Hcd zenon_Hc7 zenon_Hc3 zenon_Hb9 zenon_He8 zenon_Hd3 zenon_Hd7 zenon_He6 zenon_He5 zenon_He4 zenon_Ha7 zenon_Ha1 zenon_H9a zenon_H90 zenon_H93 zenon_H92 zenon_Hac zenon_Hb1 zenon_H6a zenon_H74 zenon_H19 zenon_H1a zenon_H17 zenon_H21 zenon_H28 zenon_H2e zenon_H6f.
% 33.02/33.18 apply (zenon_or_s _ _ zenon_H2a4); [ zenon_intro zenon_H86 | zenon_intro zenon_H2a6 ].
% 33.02/33.18 apply (zenon_L24_); trivial.
% 33.02/33.18 apply (zenon_or_s _ _ zenon_H2a6); [ zenon_intro zenon_H2a8 | zenon_intro zenon_H2a7 ].
% 33.02/33.18 apply (zenon_L207_); trivial.
% 33.02/33.18 apply (zenon_or_s _ _ zenon_H2a7); [ zenon_intro zenon_H27f | zenon_intro zenon_H2ae ].
% 33.02/33.18 apply (zenon_L127_); trivial.
% 33.02/33.18 apply (zenon_and_s _ _ zenon_H2ae). zenon_intro zenon_H285. zenon_intro zenon_H2af.
% 33.02/33.18 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_H2b1. zenon_intro zenon_H2b0.
% 33.02/33.18 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H293. zenon_intro zenon_H2a3.
% 33.02/33.18 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H14 | zenon_intro zenon_H8c ].
% 33.02/33.18 apply (zenon_L208_); trivial.
% 33.02/33.18 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H35 | zenon_intro zenon_H8d ].
% 33.02/33.18 apply (zenon_L9_); trivial.
% 33.02/33.18 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H68 | zenon_intro zenon_H84 ].
% 33.02/33.18 apply (zenon_L209_); trivial.
% 33.02/33.18 apply (zenon_L139_); trivial.
% 33.02/33.18 (* end of lemma zenon_L210_ *)
% 33.02/33.18 assert (zenon_L211_ : (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (e11))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((h4 (e13)) = (e23)) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((h4 (e10)) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> (~((h4 (op1 (e10) (e13))) = (op2 (h4 (e10)) (h4 (e13))))) -> (~((e11) = (e13))) -> ((op1 (e13) (e11)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 33.02/33.18 do 0 intro. intros zenon_He6 zenon_Hea zenon_Hc7 zenon_Hce zenon_Hc3 zenon_Had zenon_Hb9 zenon_Hcd zenon_H334 zenon_H1a zenon_H108 zenon_H21b zenon_H335 zenon_Hf9 zenon_H12d zenon_H179 zenon_H18b zenon_H19f zenon_Hd7 zenon_H90.
% 33.02/33.18 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hed | zenon_intro zenon_Hec ].
% 33.02/33.18 exact (zenon_Hea zenon_Hed).
% 33.02/33.18 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hee ].
% 33.02/33.18 apply (zenon_L38_); trivial.
% 33.02/33.18 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_Hef | zenon_intro zenon_Hd8 ].
% 33.02/33.18 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H18d | zenon_intro zenon_H1a4 ].
% 33.02/33.18 exact (zenon_H18b zenon_H18d).
% 33.02/33.18 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H178 | zenon_intro zenon_H1a5 ].
% 33.02/33.18 apply (zenon_L67_); trivial.
% 33.02/33.18 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H17c | zenon_intro zenon_H14d ].
% 33.02/33.18 apply (zenon_L68_); trivial.
% 33.02/33.18 cut (((h4 (e13)) = (e23)) = ((h4 (op1 (e10) (e13))) = (op2 (h4 (e10)) (h4 (e13))))).
% 33.02/33.18 intro zenon_D_pnotp.
% 33.02/33.18 apply zenon_H335.
% 33.02/33.18 rewrite <- zenon_D_pnotp.
% 33.02/33.18 exact zenon_H334.
% 33.02/33.18 cut (((e23) = (op2 (h4 (e10)) (h4 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H336].
% 33.02/33.18 cut (((h4 (e13)) = (h4 (op1 (e10) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H337].
% 33.02/33.18 congruence.
% 33.02/33.18 elim (classic ((h4 (op1 (e10) (e13))) = (h4 (op1 (e10) (e13))))); [ zenon_intro zenon_H338 | zenon_intro zenon_H339 ].
% 33.02/33.18 cut (((h4 (op1 (e10) (e13))) = (h4 (op1 (e10) (e13)))) = ((h4 (e13)) = (h4 (op1 (e10) (e13))))).
% 33.02/33.18 intro zenon_D_pnotp.
% 33.02/33.18 apply zenon_H337.
% 33.02/33.18 rewrite <- zenon_D_pnotp.
% 33.02/33.18 exact zenon_H338.
% 33.02/33.18 cut (((h4 (op1 (e10) (e13))) = (h4 (op1 (e10) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H339].
% 33.02/33.18 cut (((h4 (op1 (e10) (e13))) = (h4 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H33a].
% 33.02/33.18 congruence.
% 33.02/33.18 cut (((op1 (e10) (e13)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H150].
% 33.02/33.18 congruence.
% 33.02/33.18 exact (zenon_H150 zenon_H14d).
% 33.02/33.18 apply zenon_H339. apply refl_equal.
% 33.02/33.18 apply zenon_H339. apply refl_equal.
% 33.02/33.18 elim (classic ((op2 (h4 (e10)) (h4 (e13))) = (op2 (h4 (e10)) (h4 (e13))))); [ zenon_intro zenon_H33b | zenon_intro zenon_H33c ].
% 33.02/33.18 cut (((op2 (h4 (e10)) (h4 (e13))) = (op2 (h4 (e10)) (h4 (e13)))) = ((e23) = (op2 (h4 (e10)) (h4 (e13))))).
% 33.02/33.18 intro zenon_D_pnotp.
% 33.02/33.18 apply zenon_H336.
% 33.02/33.18 rewrite <- zenon_D_pnotp.
% 33.02/33.18 exact zenon_H33b.
% 33.02/33.18 cut (((op2 (h4 (e10)) (h4 (e13))) = (op2 (h4 (e10)) (h4 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H33c].
% 33.02/33.18 cut (((op2 (h4 (e10)) (h4 (e13))) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H33d].
% 33.02/33.18 congruence.
% 33.02/33.18 cut (((op2 (e20) (e23)) = (e23)) = ((op2 (h4 (e10)) (h4 (e13))) = (e23))).
% 33.02/33.18 intro zenon_D_pnotp.
% 33.02/33.18 apply zenon_H33d.
% 33.02/33.18 rewrite <- zenon_D_pnotp.
% 33.02/33.18 exact zenon_H21b.
% 33.02/33.18 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1da].
% 33.02/33.18 cut (((op2 (e20) (e23)) = (op2 (h4 (e10)) (h4 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H33e].
% 33.02/33.18 congruence.
% 33.02/33.18 elim (classic ((op2 (h4 (e10)) (h4 (e13))) = (op2 (h4 (e10)) (h4 (e13))))); [ zenon_intro zenon_H33b | zenon_intro zenon_H33c ].
% 33.02/33.18 cut (((op2 (h4 (e10)) (h4 (e13))) = (op2 (h4 (e10)) (h4 (e13)))) = ((op2 (e20) (e23)) = (op2 (h4 (e10)) (h4 (e13))))).
% 33.02/33.18 intro zenon_D_pnotp.
% 33.02/33.18 apply zenon_H33e.
% 33.02/33.18 rewrite <- zenon_D_pnotp.
% 33.02/33.18 exact zenon_H33b.
% 33.02/33.18 cut (((op2 (h4 (e10)) (h4 (e13))) = (op2 (h4 (e10)) (h4 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H33c].
% 33.02/33.18 cut (((op2 (h4 (e10)) (h4 (e13))) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H33f].
% 33.02/33.18 congruence.
% 33.02/33.18 cut (((h4 (e13)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H340].
% 33.02/33.18 cut (((h4 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H107].
% 33.02/33.18 congruence.
% 33.02/33.18 apply (zenon_L47_); trivial.
% 33.02/33.18 exact (zenon_H340 zenon_H334).
% 33.02/33.18 apply zenon_H33c. apply refl_equal.
% 33.02/33.18 apply zenon_H33c. apply refl_equal.
% 33.02/33.18 apply zenon_H1da. apply refl_equal.
% 33.02/33.18 apply zenon_H33c. apply refl_equal.
% 33.02/33.18 apply zenon_H33c. apply refl_equal.
% 33.02/33.18 apply (zenon_L41_); trivial.
% 33.02/33.18 (* end of lemma zenon_L211_ *)
% 33.02/33.18 assert (zenon_L212_ : ((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e22)) = (e22)) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op1 (e10) (e10)) = (e11))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((h4 (e10)) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e10) (e13))) = (op2 (h4 (e10)) (h4 (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 33.02/33.18 do 0 intro. intros zenon_H172 zenon_H1e3 zenon_H1dd zenon_H1a zenon_H20c zenon_H1ec zenon_H68 zenon_H27a zenon_Hea zenon_Hcd zenon_Hc7 zenon_Hce zenon_Hc3 zenon_Had zenon_Hb9 zenon_H19f zenon_H108 zenon_H334 zenon_H335 zenon_Hf9 zenon_H179 zenon_H18b zenon_Hd7 zenon_He6 zenon_H209 zenon_H17 zenon_H62 zenon_H14 zenon_H24b zenon_H20b zenon_H90.
% 33.02/33.19 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H91 | zenon_intro zenon_H12d ].
% 33.02/33.19 apply zenon_H91. apply sym_equal. exact zenon_H90.
% 33.02/33.19 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H20d ].
% 33.02/33.19 apply (zenon_L90_); trivial.
% 33.02/33.19 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H20f | zenon_intro zenon_H20e ].
% 33.02/33.19 exact (zenon_H20c zenon_H20f).
% 33.02/33.19 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H1eb | zenon_intro zenon_H1f3 ].
% 33.02/33.19 apply (zenon_L92_); trivial.
% 33.02/33.19 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H21a | zenon_intro zenon_H27b ].
% 33.02/33.19 apply (zenon_L113_); trivial.
% 33.02/33.19 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H63 | zenon_intro zenon_H27c ].
% 33.02/33.19 apply (zenon_L19_); trivial.
% 33.02/33.19 apply (zenon_or_s _ _ zenon_H27c); [ zenon_intro zenon_H20a | zenon_intro zenon_H21b ].
% 33.02/33.19 apply (zenon_L100_); trivial.
% 33.02/33.19 apply (zenon_L211_); trivial.
% 33.02/33.19 (* end of lemma zenon_L212_ *)
% 33.02/33.19 assert (zenon_L213_ : ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (op1 (e11) (e10))) = (op1 (e11) (e10)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((e11) = (e13))) -> (~((h4 (op1 (e10) (e13))) = (op2 (h4 (e10)) (h4 (e13))))) -> ((h4 (e13)) = (e23)) -> ((h4 (e10)) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (e22) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e21)) = (e22))) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10))) -> False).
% 33.02/33.19 do 0 intro. intros zenon_He4 zenon_H19e zenon_H104 zenon_H195 zenon_Ha7 zenon_Ha1 zenon_H9a zenon_H90 zenon_H93 zenon_H92 zenon_He9 zenon_H140 zenon_H126 zenon_H1bf zenon_H2e3 zenon_H2de zenon_H2e1 zenon_H1d0 zenon_H20b zenon_H24b zenon_H14 zenon_H62 zenon_H17 zenon_H209 zenon_He6 zenon_Hd7 zenon_H179 zenon_Hf9 zenon_H335 zenon_H334 zenon_H108 zenon_H19f zenon_Hb9 zenon_Hc3 zenon_Hc7 zenon_Hcd zenon_H27a zenon_H68 zenon_H1ec zenon_H20c zenon_H1a zenon_H1dd zenon_H1e3 zenon_H172 zenon_Hb1 zenon_H311 zenon_H313.
% 33.02/33.19 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_Hea | zenon_intro zenon_H94 ].
% 33.02/33.19 apply (zenon_or_s _ _ zenon_H313); [ zenon_intro zenon_H2e2 | zenon_intro zenon_H131 ].
% 33.02/33.19 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H18b | zenon_intro zenon_H14c ].
% 33.02/33.19 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Had ].
% 33.02/33.19 apply (zenon_L30_); trivial.
% 33.02/33.19 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hce | zenon_intro zenon_Hde ].
% 33.02/33.19 apply (zenon_L212_); trivial.
% 33.02/33.19 apply (zenon_L159_); trivial.
% 33.02/33.19 apply (zenon_L74_); trivial.
% 33.02/33.19 apply (zenon_L173_); trivial.
% 33.02/33.19 apply (zenon_L27_); trivial.
% 33.02/33.19 (* end of lemma zenon_L213_ *)
% 33.02/33.19 assert (zenon_L214_ : (((~((op1 (e10) (op1 (e10) (e10))) = (op1 (e10) (e10))))/\((~((op1 (e11) (op1 (e10) (e11))) = (op1 (e10) (e11))))/\((~((op1 (e12) (op1 (e10) (e12))) = (op1 (e10) (e12))))/\(~((op1 (e13) (op1 (e10) (e13))) = (op1 (e10) (e13)))))))\/(((~((op1 (e10) (op1 (e11) (e10))) = (op1 (e11) (e10))))/\((~((op1 (e11) (op1 (e11) (e11))) = (op1 (e11) (e11))))/\((~((op1 (e12) (op1 (e11) (e12))) = (op1 (e11) (e12))))/\(~((op1 (e13) (op1 (e11) (e13))) = (op1 (e11) (e13)))))))\/(((~((op1 (e10) (op1 (e12) (e10))) = (op1 (e12) (e10))))/\((~((op1 (e11) (op1 (e12) (e11))) = (op1 (e12) (e11))))/\((~((op1 (e12) (op1 (e12) (e12))) = (op1 (e12) (e12))))/\(~((op1 (e13) (op1 (e12) (e13))) = (op1 (e12) (e13)))))))\/((~((op1 (e10) (op1 (e13) (e10))) = (op1 (e13) (e10))))/\((~((op1 (e11) (op1 (e13) (e11))) = (op1 (e13) (e11))))/\((~((op1 (e12) (op1 (e13) (e12))) = (op1 (e13) (e12))))/\(~((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e13)))))))))) -> (~((op1 (e13) (e11)) = (op1 (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) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11))) -> ((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11))) -> ((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> ((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e22)) = (e22)) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((h4 (e10)) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e10) (e13))) = (op2 (h4 (e10)) (h4 (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> ((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((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)))) -> ((e12) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> False).
% 33.02/33.19 do 0 intro. intros zenon_H1ca zenon_Hd3 zenon_He8 zenon_Hdf zenon_H2de zenon_H2e3 zenon_He5 zenon_H175 zenon_H174 zenon_H139 zenon_H161 zenon_H153 zenon_H14e zenon_H160 zenon_H145 zenon_H173 zenon_H1a0 zenon_H15f zenon_H18a zenon_H186 zenon_H16e zenon_H171 zenon_Hfd zenon_H1cb zenon_H313 zenon_H311 zenon_Hb1 zenon_H1e3 zenon_H1dd zenon_H1a zenon_H20c zenon_H1ec zenon_H68 zenon_H27a zenon_Hcd zenon_Hc7 zenon_Hc3 zenon_Hb9 zenon_H19f zenon_H108 zenon_H334 zenon_H335 zenon_Hf9 zenon_H179 zenon_Hd7 zenon_He6 zenon_H209 zenon_H17 zenon_H62 zenon_H14 zenon_H24b zenon_H20b zenon_H2e1 zenon_H140 zenon_H2f4 zenon_H198 zenon_H168 zenon_H2e9 zenon_H30e zenon_He9 zenon_H195 zenon_H19e zenon_He4 zenon_H172 zenon_Hac zenon_H93 zenon_Ha7 zenon_Ha1 zenon_H9a zenon_H130 zenon_H12c zenon_H126 zenon_H128 zenon_H11d zenon_H132 zenon_H1a9 zenon_H1b6 zenon_H92 zenon_H1c4 zenon_H90 zenon_H1bf zenon_H1c3.
% 33.02/33.19 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfc | zenon_intro zenon_H1cc ].
% 33.02/33.19 apply (zenon_L46_); trivial.
% 33.02/33.19 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1cd ].
% 33.02/33.19 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_H1d0. zenon_intro zenon_H1cf.
% 33.02/33.19 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1d2. zenon_intro zenon_H1d1.
% 33.02/33.19 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H156. zenon_intro zenon_H1d3.
% 33.02/33.19 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H104 | zenon_intro zenon_H103 ].
% 33.02/33.19 apply (zenon_L213_); trivial.
% 33.02/33.19 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Hae | zenon_intro zenon_H106 ].
% 33.02/33.19 apply (zenon_L32_); trivial.
% 33.02/33.19 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hdd | zenon_intro zenon_Hfa ].
% 33.02/33.19 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H105 | zenon_intro zenon_H104 ].
% 33.02/33.19 apply (zenon_L66_); trivial.
% 33.02/33.19 apply (zenon_L213_); trivial.
% 33.02/33.19 apply (zenon_L45_); trivial.
% 33.02/33.19 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H19d | zenon_intro zenon_H1d4 ].
% 33.02/33.19 apply (zenon_L77_); trivial.
% 33.02/33.19 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_H1d6. zenon_intro zenon_H1d5.
% 33.02/33.19 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1d8. zenon_intro zenon_H1d7.
% 33.02/33.19 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1af. zenon_intro zenon_H1d9.
% 33.02/33.19 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H105 | zenon_intro zenon_H104 ].
% 33.02/33.19 apply (zenon_L85_); trivial.
% 33.02/33.19 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_Hea | zenon_intro zenon_H94 ].
% 33.02/33.19 apply (zenon_or_s _ _ zenon_H313); [ zenon_intro zenon_H2e2 | zenon_intro zenon_H131 ].
% 33.02/33.19 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H18b | zenon_intro zenon_H14c ].
% 33.02/33.19 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Had ].
% 33.02/33.19 apply (zenon_L30_); trivial.
% 33.02/33.19 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hce | zenon_intro zenon_Hde ].
% 33.02/33.19 apply (zenon_L212_); trivial.
% 33.02/33.19 apply (zenon_L181_); trivial.
% 33.02/33.19 apply (zenon_L74_); trivial.
% 33.02/33.19 apply (zenon_L173_); trivial.
% 33.02/33.19 apply (zenon_L27_); trivial.
% 33.02/33.19 (* end of lemma zenon_L214_ *)
% 33.02/33.19 assert (zenon_L215_ : ((~((op2 (e20) (e20)) = (e21)))\/((op2 (e20) (e21)) = (e20))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> ((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((h4 (op1 (e10) (e13))) = (op2 (h4 (e10)) (h4 (e13))))) -> ((h4 (e13)) = (e23)) -> ((h4 (e10)) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> ((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((~((op1 (e10) (op1 (e10) (e10))) = (op1 (e10) (e10))))/\((~((op1 (e11) (op1 (e10) (e11))) = (op1 (e10) (e11))))/\((~((op1 (e12) (op1 (e10) (e12))) = (op1 (e10) (e12))))/\(~((op1 (e13) (op1 (e10) (e13))) = (op1 (e10) (e13)))))))\/(((~((op1 (e10) (op1 (e11) (e10))) = (op1 (e11) (e10))))/\((~((op1 (e11) (op1 (e11) (e11))) = (op1 (e11) (e11))))/\((~((op1 (e12) (op1 (e11) (e12))) = (op1 (e11) (e12))))/\(~((op1 (e13) (op1 (e11) (e13))) = (op1 (e11) (e13)))))))\/(((~((op1 (e10) (op1 (e12) (e10))) = (op1 (e12) (e10))))/\((~((op1 (e11) (op1 (e12) (e11))) = (op1 (e12) (e11))))/\((~((op1 (e12) (op1 (e12) (e12))) = (op1 (e12) (e12))))/\(~((op1 (e13) (op1 (e12) (e13))) = (op1 (e12) (e13)))))))\/((~((op1 (e10) (op1 (e13) (e10))) = (op1 (e13) (e10))))/\((~((op1 (e11) (op1 (e13) (e11))) = (op1 (e13) (e11))))/\((~((op1 (e12) (op1 (e13) (e12))) = (op1 (e13) (e12))))/\(~((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e13)))))))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (op2 (e21) (e20))) = (op2 (e21) (e20)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22))) -> ((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((~((op2 (e21) (e21)) = (e21)))\/((op2 (e21) (e21)) = (e21))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> ((~((op2 (e20) (e20)) = (e22)))\/((op2 (e20) (e22)) = (e20))) -> False).
% 33.02/33.19 do 0 intro. intros zenon_H6f zenon_H38 zenon_H248 zenon_H240 zenon_H31f zenon_Hb1 zenon_Hac zenon_H92 zenon_H93 zenon_H90 zenon_H9a zenon_Ha1 zenon_Ha7 zenon_He4 zenon_He5 zenon_He6 zenon_Hd7 zenon_Hd3 zenon_He8 zenon_Hb9 zenon_Hc3 zenon_Hc7 zenon_Hcd zenon_Hdf zenon_He9 zenon_Hf9 zenon_Hfd zenon_H19e zenon_H195 zenon_H140 zenon_H126 zenon_H1bf zenon_H2e3 zenon_H2de zenon_H2e1 zenon_H20b zenon_H179 zenon_H335 zenon_H334 zenon_H108 zenon_H19f zenon_H1ec zenon_H172 zenon_H311 zenon_H313 zenon_H1cb zenon_H175 zenon_H168 zenon_H174 zenon_H139 zenon_H132 zenon_H11d zenon_H128 zenon_H12c zenon_H130 zenon_H15f zenon_H161 zenon_H153 zenon_H14e zenon_H160 zenon_H145 zenon_H173 zenon_H16e zenon_H171 zenon_H1a0 zenon_H198 zenon_H18a zenon_H186 zenon_H1c3 zenon_H1c4 zenon_H1b6 zenon_H1a9 zenon_H30e zenon_H2e9 zenon_H2f4 zenon_H1ca zenon_H71 zenon_H62 zenon_H54 zenon_H4e zenon_H5a zenon_H4a zenon_H40 zenon_H2b8 zenon_H5e zenon_H73 zenon_H2aa zenon_H211 zenon_H27a zenon_H2be zenon_H23a zenon_H2c9 zenon_H2c5 zenon_H209 zenon_H2cd zenon_H251 zenon_H14 zenon_H24b zenon_H2d0 zenon_H234 zenon_H25f zenon_H1e7 zenon_H1dd zenon_H1e3 zenon_H2d1 zenon_H247 zenon_H33 zenon_H70 zenon_H19 zenon_H1a zenon_H17 zenon_H21 zenon_H28 zenon_H2e zenon_H277 zenon_H279.
% 33.02/33.19 apply (zenon_or_s _ _ zenon_H6f); [ zenon_intro zenon_H75 | zenon_intro zenon_H1b ].
% 33.02/33.19 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H1fe ].
% 33.02/33.19 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H2f | zenon_intro zenon_H34 ].
% 33.02/33.19 apply (zenon_L7_); trivial.
% 33.02/33.19 apply (zenon_or_s _ _ zenon_H70); [ zenon_intro zenon_H76 | zenon_intro zenon_H35 ].
% 33.02/33.19 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H20c | zenon_intro zenon_H241 ].
% 33.02/33.19 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H1fa | zenon_intro zenon_H1e8 ].
% 33.02/33.19 apply (zenon_or_s _ _ zenon_H31f); [ zenon_intro zenon_H27e | zenon_intro zenon_H68 ].
% 33.02/33.19 apply (zenon_L153_); trivial.
% 33.02/33.19 apply (zenon_L214_); trivial.
% 33.02/33.19 apply (zenon_L91_); trivial.
% 33.02/33.19 apply (zenon_L111_); trivial.
% 33.02/33.19 apply (zenon_L8_); trivial.
% 33.02/33.19 apply (zenon_L124_); trivial.
% 33.02/33.19 apply (zenon_L4_); trivial.
% 33.02/33.19 (* end of lemma zenon_L215_ *)
% 33.02/33.19 assert (zenon_L216_ : ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> (((~((op1 (e10) (op1 (e10) (e10))) = (op1 (e10) (e10))))/\((~((op1 (e11) (op1 (e10) (e11))) = (op1 (e10) (e11))))/\((~((op1 (e12) (op1 (e10) (e12))) = (op1 (e10) (e12))))/\(~((op1 (e13) (op1 (e10) (e13))) = (op1 (e10) (e13)))))))\/(((~((op1 (e10) (op1 (e11) (e10))) = (op1 (e11) (e10))))/\((~((op1 (e11) (op1 (e11) (e11))) = (op1 (e11) (e11))))/\((~((op1 (e12) (op1 (e11) (e12))) = (op1 (e11) (e12))))/\(~((op1 (e13) (op1 (e11) (e13))) = (op1 (e11) (e13)))))))\/(((~((op1 (e10) (op1 (e12) (e10))) = (op1 (e12) (e10))))/\((~((op1 (e11) (op1 (e12) (e11))) = (op1 (e12) (e11))))/\((~((op1 (e12) (op1 (e12) (e12))) = (op1 (e12) (e12))))/\(~((op1 (e13) (op1 (e12) (e13))) = (op1 (e12) (e13)))))))\/((~((op1 (e10) (op1 (e13) (e10))) = (op1 (e13) (e10))))/\((~((op1 (e11) (op1 (e13) (e11))) = (op1 (e13) (e11))))/\((~((op1 (e12) (op1 (e13) (e12))) = (op1 (e13) (e12))))/\(~((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e13)))))))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> ((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> ((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e22)) = (e22)) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((h4 (e10)) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e10) (e13))) = (op2 (h4 (e10)) (h4 (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((e11) = (e13))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> ((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> False).
% 33.02/33.19 do 0 intro. intros zenon_H38 zenon_H1ca zenon_H2f4 zenon_H2e9 zenon_H30e zenon_H1a9 zenon_H1b6 zenon_H1c4 zenon_H1c3 zenon_H186 zenon_H18a zenon_H198 zenon_H1a0 zenon_H171 zenon_H16e zenon_H173 zenon_H145 zenon_H160 zenon_H14e zenon_H153 zenon_H161 zenon_H15f zenon_H130 zenon_H12c zenon_H128 zenon_H11d zenon_H132 zenon_H139 zenon_H174 zenon_H168 zenon_H175 zenon_H1cb zenon_H313 zenon_H311 zenon_H172 zenon_H1e3 zenon_H1dd zenon_H1ec zenon_H68 zenon_H27a zenon_H19f zenon_H108 zenon_H334 zenon_H335 zenon_H179 zenon_H209 zenon_H62 zenon_H14 zenon_H24b zenon_H20b zenon_H2e1 zenon_H2de zenon_H2e3 zenon_H1bf zenon_H126 zenon_H140 zenon_H195 zenon_H19e zenon_Hfd zenon_Hf9 zenon_He9 zenon_Hdf zenon_Hcd zenon_Hc7 zenon_Hc3 zenon_Hb9 zenon_He8 zenon_Hd3 zenon_Hd7 zenon_He6 zenon_He5 zenon_He4 zenon_Ha7 zenon_Ha1 zenon_H9a zenon_H90 zenon_H93 zenon_H92 zenon_Hac zenon_Hb1 zenon_H240 zenon_H248 zenon_H19 zenon_H1a zenon_H17 zenon_H21 zenon_H28 zenon_H2e.
% 33.02/33.19 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H2f | zenon_intro zenon_H34 ].
% 33.02/33.19 apply (zenon_L7_); trivial.
% 33.02/33.19 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H20c | zenon_intro zenon_H241 ].
% 33.02/33.19 apply (zenon_L214_); trivial.
% 33.02/33.19 apply (zenon_L111_); trivial.
% 33.02/33.19 (* end of lemma zenon_L216_ *)
% 33.02/33.19 assert (zenon_L217_ : ((~((op2 (e20) (e20)) = (e20)))\/((op2 (e20) (e20)) = (e20))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> ((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((h4 (op1 (e10) (e13))) = (op2 (h4 (e10)) (h4 (e13))))) -> ((h4 (e13)) = (e23)) -> ((h4 (e10)) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> ((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> ((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((~((op1 (e10) (op1 (e10) (e10))) = (op1 (e10) (e10))))/\((~((op1 (e11) (op1 (e10) (e11))) = (op1 (e10) (e11))))/\((~((op1 (e12) (op1 (e10) (e12))) = (op1 (e10) (e12))))/\(~((op1 (e13) (op1 (e10) (e13))) = (op1 (e10) (e13)))))))\/(((~((op1 (e10) (op1 (e11) (e10))) = (op1 (e11) (e10))))/\((~((op1 (e11) (op1 (e11) (e11))) = (op1 (e11) (e11))))/\((~((op1 (e12) (op1 (e11) (e12))) = (op1 (e11) (e12))))/\(~((op1 (e13) (op1 (e11) (e13))) = (op1 (e11) (e13)))))))\/(((~((op1 (e10) (op1 (e12) (e10))) = (op1 (e12) (e10))))/\((~((op1 (e11) (op1 (e12) (e11))) = (op1 (e12) (e11))))/\((~((op1 (e12) (op1 (e12) (e12))) = (op1 (e12) (e12))))/\(~((op1 (e13) (op1 (e12) (e13))) = (op1 (e12) (e13)))))))\/((~((op1 (e10) (op1 (e13) (e10))) = (op1 (e13) (e10))))/\((~((op1 (e11) (op1 (e13) (e11))) = (op1 (e13) (e11))))/\((~((op1 (e12) (op1 (e13) (e12))) = (op1 (e13) (e12))))/\(~((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e13)))))))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((e21) = (op2 (e23) (e23))) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22))) -> ((~((op2 (e23) (e23)) = (e23)))\/((op2 (e23) (e23)) = (e23))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (e22) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((e21) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (op2 (e21) (e22))) = (op2 (e21) (e22)))) -> (~((e22) = (e23))) -> (~((e20) = (e23))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> ((~((op2 (e23) (e23)) = (e21)))\/((op2 (e23) (e21)) = (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((~((op2 (e23) (e23)) = (e20)))\/((op2 (e23) (e20)) = (e23))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((~((op2 (e21) (e21)) = (e23)))\/((op2 (e21) (e23)) = (e21))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> False).
% 33.02/33.19 do 0 intro. intros zenon_H2a5 zenon_Hb1 zenon_Hac zenon_H92 zenon_H93 zenon_H90 zenon_H9a zenon_Ha1 zenon_Ha7 zenon_He4 zenon_He5 zenon_He6 zenon_Hd7 zenon_Hd3 zenon_He8 zenon_Hb9 zenon_Hc3 zenon_Hc7 zenon_Hcd zenon_Hdf zenon_He9 zenon_Hf9 zenon_Hfd zenon_H19e zenon_H195 zenon_H140 zenon_H126 zenon_H1bf zenon_H2e3 zenon_H2de zenon_H2e1 zenon_H24b zenon_H62 zenon_H179 zenon_H335 zenon_H334 zenon_H108 zenon_H19f zenon_H27a zenon_H172 zenon_H311 zenon_H313 zenon_H1cb zenon_H175 zenon_H168 zenon_H174 zenon_H139 zenon_H132 zenon_H11d zenon_H128 zenon_H12c zenon_H130 zenon_H15f zenon_H161 zenon_H153 zenon_H14e zenon_H160 zenon_H145 zenon_H173 zenon_H16e zenon_H171 zenon_H1a0 zenon_H198 zenon_H18a zenon_H186 zenon_H1c3 zenon_H1c4 zenon_H1b6 zenon_H1a9 zenon_H30e zenon_H2e9 zenon_H2f4 zenon_H1ca zenon_H2e zenon_H28 zenon_H21 zenon_H17 zenon_H1a zenon_H19 zenon_H248 zenon_H240 zenon_H247 zenon_H246 zenon_H210 zenon_H209 zenon_H5a zenon_H1e3 zenon_H1e7 zenon_H20b zenon_H1fd zenon_H201 zenon_H68 zenon_H1ec zenon_H211 zenon_H1dd zenon_H1dc zenon_H83 zenon_H22e zenon_H223 zenon_H220 zenon_H21c zenon_H22c zenon_H245 zenon_H239 zenon_H234 zenon_H244 zenon_H23a zenon_H243 zenon_H38.
% 33.02/33.19 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_H15 | zenon_intro zenon_H14 ].
% 33.02/33.19 apply (zenon_L112_); trivial.
% 33.02/33.19 apply (zenon_L216_); trivial.
% 33.02/33.19 (* end of lemma zenon_L217_ *)
% 33.02/33.19 assert (zenon_L218_ : ((~((op2 (e20) (e20)) = (e22)))\/((op2 (e20) (e22)) = (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((e21) = (op2 (e23) (e23))) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (op2 (e23) (e21))) = (op2 (e23) (e21)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (op2 (e23) (e20))) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> ((~((op2 (e23) (e23)) = (e21)))\/((op2 (e23) (e21)) = (e23))) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((~((op1 (e10) (op1 (e10) (e10))) = (op1 (e10) (e10))))/\((~((op1 (e11) (op1 (e10) (e11))) = (op1 (e10) (e11))))/\((~((op1 (e12) (op1 (e10) (e12))) = (op1 (e10) (e12))))/\(~((op1 (e13) (op1 (e10) (e13))) = (op1 (e10) (e13)))))))\/(((~((op1 (e10) (op1 (e11) (e10))) = (op1 (e11) (e10))))/\((~((op1 (e11) (op1 (e11) (e11))) = (op1 (e11) (e11))))/\((~((op1 (e12) (op1 (e11) (e12))) = (op1 (e11) (e12))))/\(~((op1 (e13) (op1 (e11) (e13))) = (op1 (e11) (e13)))))))\/(((~((op1 (e10) (op1 (e12) (e10))) = (op1 (e12) (e10))))/\((~((op1 (e11) (op1 (e12) (e11))) = (op1 (e12) (e11))))/\((~((op1 (e12) (op1 (e12) (e12))) = (op1 (e12) (e12))))/\(~((op1 (e13) (op1 (e12) (e13))) = (op1 (e12) (e13)))))))\/((~((op1 (e10) (op1 (e13) (e10))) = (op1 (e13) (e10))))/\((~((op1 (e11) (op1 (e13) (e11))) = (op1 (e13) (e11))))/\((~((op1 (e12) (op1 (e13) (e12))) = (op1 (e13) (e12))))/\(~((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e13)))))))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> ((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> ((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((h4 (e10)) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e10) (e13))) = (op2 (h4 (e10)) (h4 (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((e11) = (e13))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> ((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> False).
% 33.02/33.19 do 0 intro. intros zenon_H279 zenon_H277 zenon_H2e zenon_H28 zenon_H21 zenon_H17 zenon_H1a zenon_H19 zenon_H248 zenon_H240 zenon_H2c9 zenon_H2c5 zenon_H210 zenon_H2be zenon_H23a zenon_H209 zenon_H2b1 zenon_H2cd zenon_H285 zenon_H1e3 zenon_H4a zenon_H211 zenon_H239 zenon_H1dd zenon_H1e7 zenon_H1ca zenon_H2f4 zenon_H2e9 zenon_H30e zenon_H1a9 zenon_H1b6 zenon_H1c4 zenon_H1c3 zenon_H186 zenon_H18a zenon_H198 zenon_H1a0 zenon_H171 zenon_H16e zenon_H173 zenon_H145 zenon_H160 zenon_H14e zenon_H153 zenon_H161 zenon_H15f zenon_H130 zenon_H12c zenon_H128 zenon_H11d zenon_H132 zenon_H139 zenon_H174 zenon_H168 zenon_H175 zenon_H1cb zenon_H313 zenon_H311 zenon_H172 zenon_H1ec zenon_H27a zenon_H19f zenon_H108 zenon_H334 zenon_H335 zenon_H179 zenon_H62 zenon_H14 zenon_H24b zenon_H20b zenon_H2e1 zenon_H2de zenon_H2e3 zenon_H1bf zenon_H126 zenon_H140 zenon_H195 zenon_H19e zenon_Hfd zenon_Hf9 zenon_He9 zenon_Hdf zenon_Hcd zenon_Hc7 zenon_Hc3 zenon_Hb9 zenon_He8 zenon_Hd3 zenon_Hd7 zenon_He6 zenon_He5 zenon_He4 zenon_Ha7 zenon_Ha1 zenon_H9a zenon_H90 zenon_H93 zenon_H92 zenon_Hac zenon_Hb1 zenon_H31f zenon_H38.
% 33.02/33.19 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H1fe ].
% 33.02/33.19 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H2f | zenon_intro zenon_H34 ].
% 33.02/33.19 apply (zenon_L7_); trivial.
% 33.02/33.19 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H20c | zenon_intro zenon_H241 ].
% 33.02/33.19 apply (zenon_or_s _ _ zenon_H31f); [ zenon_intro zenon_H27e | zenon_intro zenon_H68 ].
% 33.02/33.19 apply (zenon_L196_); trivial.
% 33.02/33.19 apply (zenon_L214_); trivial.
% 33.02/33.19 apply (zenon_L111_); trivial.
% 33.02/33.19 apply (zenon_L124_); trivial.
% 33.02/33.19 (* end of lemma zenon_L218_ *)
% 33.02/33.19 assert (zenon_L219_ : ((~((op2 (e20) (e20)) = (e20)))\/((op2 (e20) (e20)) = (e20))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> ((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((h4 (op1 (e10) (e13))) = (op2 (h4 (e10)) (h4 (e13))))) -> ((h4 (e13)) = (e23)) -> ((h4 (e10)) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> ((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> ((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((~((op1 (e10) (op1 (e10) (e10))) = (op1 (e10) (e10))))/\((~((op1 (e11) (op1 (e10) (e11))) = (op1 (e10) (e11))))/\((~((op1 (e12) (op1 (e10) (e12))) = (op1 (e10) (e12))))/\(~((op1 (e13) (op1 (e10) (e13))) = (op1 (e10) (e13)))))))\/(((~((op1 (e10) (op1 (e11) (e10))) = (op1 (e11) (e10))))/\((~((op1 (e11) (op1 (e11) (e11))) = (op1 (e11) (e11))))/\((~((op1 (e12) (op1 (e11) (e12))) = (op1 (e11) (e12))))/\(~((op1 (e13) (op1 (e11) (e13))) = (op1 (e11) (e13)))))))\/(((~((op1 (e10) (op1 (e12) (e10))) = (op1 (e12) (e10))))/\((~((op1 (e11) (op1 (e12) (e11))) = (op1 (e12) (e11))))/\((~((op1 (e12) (op1 (e12) (e12))) = (op1 (e12) (e12))))/\(~((op1 (e13) (op1 (e12) (e13))) = (op1 (e12) (e13)))))))\/((~((op1 (e10) (op1 (e13) (e10))) = (op1 (e13) (e10))))/\((~((op1 (e11) (op1 (e13) (e11))) = (op1 (e13) (e11))))/\((~((op1 (e12) (op1 (e13) (e12))) = (op1 (e13) (e12))))/\(~((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e13)))))))))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> ((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (op2 (e23) (e20))) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (op2 (e23) (e22))) = (op2 (e23) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e22)) = (e20))))) -> ((~((op2 (e23) (e23)) = (e21)))\/((op2 (e23) (e21)) = (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((~((op2 (e23) (e23)) = (e20)))\/((op2 (e23) (e20)) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e22)) = (e22)) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> ((~((op2 (e20) (e20)) = (e22)))\/((op2 (e20) (e22)) = (e20))) -> False).
% 33.02/33.19 do 0 intro. intros zenon_H2a5 zenon_Hb1 zenon_Hac zenon_H92 zenon_H93 zenon_H90 zenon_H9a zenon_Ha1 zenon_Ha7 zenon_He4 zenon_He5 zenon_He6 zenon_Hd7 zenon_Hd3 zenon_He8 zenon_Hb9 zenon_Hc3 zenon_Hc7 zenon_Hcd zenon_Hdf zenon_He9 zenon_Hf9 zenon_Hfd zenon_H19e zenon_H195 zenon_H140 zenon_H126 zenon_H1bf zenon_H2e3 zenon_H2de zenon_H2e1 zenon_H24b zenon_H62 zenon_H179 zenon_H335 zenon_H334 zenon_H108 zenon_H19f zenon_H27a zenon_H172 zenon_H311 zenon_H313 zenon_H1cb zenon_H175 zenon_H168 zenon_H174 zenon_H139 zenon_H132 zenon_H11d zenon_H128 zenon_H12c zenon_H130 zenon_H15f zenon_H161 zenon_H153 zenon_H14e zenon_H160 zenon_H145 zenon_H173 zenon_H16e zenon_H171 zenon_H1a0 zenon_H198 zenon_H18a zenon_H186 zenon_H1c3 zenon_H1c4 zenon_H1b6 zenon_H1a9 zenon_H30e zenon_H2e9 zenon_H2f4 zenon_H1ca zenon_H38 zenon_H247 zenon_H245 zenon_H29f zenon_H29e zenon_H285 zenon_H28b zenon_H293 zenon_H297 zenon_H239 zenon_H234 zenon_H244 zenon_H1dc zenon_H1dd zenon_H211 zenon_H1ec zenon_H68 zenon_H201 zenon_H1fd zenon_H20b zenon_H1e7 zenon_H1e3 zenon_H5a zenon_H209 zenon_H210 zenon_H240 zenon_H248 zenon_H19 zenon_H1a zenon_H17 zenon_H21 zenon_H28 zenon_H2e zenon_H279.
% 33.02/33.19 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_H15 | zenon_intro zenon_H14 ].
% 33.02/33.19 apply (zenon_L138_); trivial.
% 33.02/33.19 apply (zenon_L216_); trivial.
% 33.02/33.19 (* end of lemma zenon_L219_ *)
% 33.02/33.19 assert (zenon_L220_ : ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((h4 (op1 (e11) (e10))) = (op2 (h4 (e11)) (h4 (e10))))) -> ((h4 (e10)) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> False).
% 33.02/33.19 do 0 intro. intros zenon_H38 zenon_Ha7 zenon_Ha1 zenon_H9a zenon_H90 zenon_H93 zenon_H92 zenon_H341 zenon_H108 zenon_H2fb zenon_Hb1 zenon_H19 zenon_H1a zenon_H17 zenon_H21 zenon_H28 zenon_H2e.
% 33.02/33.19 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H2f | zenon_intro zenon_H34 ].
% 33.02/33.19 apply (zenon_L7_); trivial.
% 33.02/33.19 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Had ].
% 33.02/33.19 apply (zenon_L30_); trivial.
% 33.02/33.19 cut (((h4 (e11)) = (op2 (e23) (e23))) = ((h4 (op1 (e11) (e10))) = (op2 (h4 (e11)) (h4 (e10))))).
% 33.02/33.19 intro zenon_D_pnotp.
% 33.02/33.19 apply zenon_H341.
% 33.02/33.19 rewrite <- zenon_D_pnotp.
% 33.02/33.19 exact zenon_H2fb.
% 33.02/33.19 cut (((op2 (e23) (e23)) = (op2 (h4 (e11)) (h4 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H342].
% 33.02/33.19 cut (((h4 (e11)) = (h4 (op1 (e11) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H343].
% 33.02/33.19 congruence.
% 33.02/33.19 elim (classic ((h4 (op1 (e11) (e10))) = (h4 (op1 (e11) (e10))))); [ zenon_intro zenon_H344 | zenon_intro zenon_H345 ].
% 33.02/33.19 cut (((h4 (op1 (e11) (e10))) = (h4 (op1 (e11) (e10)))) = ((h4 (e11)) = (h4 (op1 (e11) (e10))))).
% 33.02/33.19 intro zenon_D_pnotp.
% 33.02/33.19 apply zenon_H343.
% 33.02/33.19 rewrite <- zenon_D_pnotp.
% 33.02/33.19 exact zenon_H344.
% 33.02/33.19 cut (((h4 (op1 (e11) (e10))) = (h4 (op1 (e11) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H345].
% 33.02/33.19 cut (((h4 (op1 (e11) (e10))) = (h4 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H346].
% 33.02/33.19 congruence.
% 33.02/33.19 cut (((op1 (e11) (e10)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_Hb7].
% 33.02/33.19 congruence.
% 33.02/33.19 exact (zenon_Hb7 zenon_Had).
% 33.02/33.19 apply zenon_H345. apply refl_equal.
% 33.02/33.19 apply zenon_H345. apply refl_equal.
% 33.02/33.19 elim (classic ((op2 (h4 (e11)) (h4 (e10))) = (op2 (h4 (e11)) (h4 (e10))))); [ zenon_intro zenon_H347 | zenon_intro zenon_H348 ].
% 33.02/33.19 cut (((op2 (h4 (e11)) (h4 (e10))) = (op2 (h4 (e11)) (h4 (e10)))) = ((op2 (e23) (e23)) = (op2 (h4 (e11)) (h4 (e10))))).
% 33.02/33.19 intro zenon_D_pnotp.
% 33.02/33.19 apply zenon_H342.
% 33.02/33.19 rewrite <- zenon_D_pnotp.
% 33.02/33.19 exact zenon_H347.
% 33.02/33.19 cut (((op2 (h4 (e11)) (h4 (e10))) = (op2 (h4 (e11)) (h4 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H348].
% 33.02/33.19 cut (((op2 (h4 (e11)) (h4 (e10))) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H349].
% 33.02/33.19 congruence.
% 33.02/33.19 cut (((op2 (e21) (e20)) = (e21)) = ((op2 (h4 (e11)) (h4 (e10))) = (op2 (e23) (e23)))).
% 33.02/33.19 intro zenon_D_pnotp.
% 33.02/33.19 apply zenon_H349.
% 33.02/33.19 rewrite <- zenon_D_pnotp.
% 33.02/33.19 exact zenon_H34.
% 33.02/33.19 cut (((e21) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H331].
% 33.02/33.19 cut (((op2 (e21) (e20)) = (op2 (h4 (e11)) (h4 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H34a].
% 33.02/33.19 congruence.
% 33.02/33.19 elim (classic ((op2 (h4 (e11)) (h4 (e10))) = (op2 (h4 (e11)) (h4 (e10))))); [ zenon_intro zenon_H347 | zenon_intro zenon_H348 ].
% 33.02/33.19 cut (((op2 (h4 (e11)) (h4 (e10))) = (op2 (h4 (e11)) (h4 (e10)))) = ((op2 (e21) (e20)) = (op2 (h4 (e11)) (h4 (e10))))).
% 33.02/33.19 intro zenon_D_pnotp.
% 33.02/33.19 apply zenon_H34a.
% 33.02/33.19 rewrite <- zenon_D_pnotp.
% 33.02/33.19 exact zenon_H347.
% 33.02/33.19 cut (((op2 (h4 (e11)) (h4 (e10))) = (op2 (h4 (e11)) (h4 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H348].
% 33.02/33.19 cut (((op2 (h4 (e11)) (h4 (e10))) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H34b].
% 33.02/33.19 congruence.
% 33.02/33.19 cut (((h4 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H107].
% 33.02/33.19 cut (((h4 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H2fa].
% 33.02/33.19 congruence.
% 33.02/33.19 apply (zenon_L166_); trivial.
% 33.02/33.19 apply (zenon_L47_); trivial.
% 33.02/33.19 apply zenon_H348. apply refl_equal.
% 33.02/33.19 apply zenon_H348. apply refl_equal.
% 33.02/33.19 exact (zenon_H331 zenon_H17).
% 33.02/33.19 apply zenon_H348. apply refl_equal.
% 33.02/33.19 apply zenon_H348. apply refl_equal.
% 33.02/33.19 (* end of lemma zenon_L220_ *)
% 33.02/33.19 assert (zenon_L221_ : (~((h4 (op1 (e11) (e11))) = (op2 (h4 (e11)) (h4 (e11))))) -> ((h4 (e10)) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((op1 (e11) (e11)) = (e10)) -> ((h4 (e11)) = (op2 (e23) (e23))) -> False).
% 33.02/33.19 do 0 intro. intros zenon_H34c zenon_H108 zenon_Hab zenon_H2fb.
% 33.02/33.19 cut (((h4 (e10)) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) = ((h4 (op1 (e11) (e11))) = (op2 (h4 (e11)) (h4 (e11))))).
% 33.02/33.19 intro zenon_D_pnotp.
% 33.02/33.19 apply zenon_H34c.
% 33.02/33.19 rewrite <- zenon_D_pnotp.
% 33.02/33.19 exact zenon_H108.
% 33.02/33.19 cut (((op2 (op2 (e23) (e23)) (op2 (e23) (e23))) = (op2 (h4 (e11)) (h4 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H34d].
% 33.02/33.19 cut (((h4 (e10)) = (h4 (op1 (e11) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H34e].
% 33.02/33.19 congruence.
% 33.02/33.19 elim (classic ((h4 (op1 (e11) (e11))) = (h4 (op1 (e11) (e11))))); [ zenon_intro zenon_H34f | zenon_intro zenon_H350 ].
% 33.02/33.19 cut (((h4 (op1 (e11) (e11))) = (h4 (op1 (e11) (e11)))) = ((h4 (e10)) = (h4 (op1 (e11) (e11))))).
% 33.02/33.19 intro zenon_D_pnotp.
% 33.02/33.19 apply zenon_H34e.
% 33.02/33.19 rewrite <- zenon_D_pnotp.
% 33.02/33.19 exact zenon_H34f.
% 33.02/33.19 cut (((h4 (op1 (e11) (e11))) = (h4 (op1 (e11) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H350].
% 33.02/33.19 cut (((h4 (op1 (e11) (e11))) = (h4 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H351].
% 33.02/33.19 congruence.
% 33.02/33.19 cut (((op1 (e11) (e11)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_Ha8].
% 33.02/33.19 congruence.
% 33.02/33.19 exact (zenon_Ha8 zenon_Hab).
% 33.02/33.19 apply zenon_H350. apply refl_equal.
% 33.02/33.19 apply zenon_H350. apply refl_equal.
% 33.02/33.19 cut (((op2 (e23) (e23)) = (h4 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H352].
% 33.02/33.19 cut (((op2 (e23) (e23)) = (h4 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H352].
% 33.02/33.19 congruence.
% 33.02/33.19 apply zenon_H352. apply sym_equal. exact zenon_H2fb.
% 33.02/33.19 apply zenon_H352. apply sym_equal. exact zenon_H2fb.
% 33.02/33.19 (* end of lemma zenon_L221_ *)
% 33.02/33.19 assert (zenon_L222_ : (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((h4 (e10)) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> (~((h4 (op1 (e11) (e11))) = (op2 (h4 (e11)) (h4 (e11))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> False).
% 33.02/33.19 do 0 intro. intros zenon_Ha7 zenon_H92 zenon_H2fb zenon_H108 zenon_H34c zenon_H9a zenon_H93 zenon_H90 zenon_Ha1.
% 33.02/33.19 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H94 | zenon_intro zenon_Ha9 ].
% 33.02/33.19 apply (zenon_L27_); trivial.
% 33.02/33.19 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_Hab | zenon_intro zenon_Haa ].
% 33.02/33.19 apply (zenon_L221_); trivial.
% 33.02/33.19 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H99 | zenon_intro zenon_Ha0 ].
% 33.02/33.19 apply (zenon_L28_); trivial.
% 33.02/33.19 apply (zenon_L29_); trivial.
% 33.02/33.19 (* end of lemma zenon_L222_ *)
% 33.02/33.19 assert (zenon_L223_ : (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> ((e12) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e12)) = (e12)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((e11) = (e13))) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e11) (e11)) = (e13))) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((h4 (e12)) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((e21) = (op2 (e23) (e23))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((op2 (e21) (e22)) = (e23)) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e11) (e12))) = (op2 (h4 (e11)) (h4 (e12))))) -> (~((e12) = (e13))) -> False).
% 33.02/33.19 do 0 intro. intros zenon_H15f zenon_H93 zenon_H126 zenon_H140 zenon_H13a zenon_H145 zenon_Hdd zenon_H160 zenon_Hf9 zenon_Had zenon_H13b zenon_H1dd zenon_H2fe zenon_H17 zenon_H2fb zenon_H225 zenon_H334 zenon_H353 zenon_H153.
% 33.02/33.19 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H141 | zenon_intro zenon_H162 ].
% 33.02/33.19 apply (zenon_L57_); trivial.
% 33.02/33.19 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H13f | zenon_intro zenon_H163 ].
% 33.02/33.19 exact (zenon_H13a zenon_H13f).
% 33.02/33.19 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H144 | zenon_intro zenon_H151 ].
% 33.02/33.19 apply (zenon_L58_); trivial.
% 33.02/33.19 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H148 | zenon_intro zenon_H164 ].
% 33.02/33.19 apply (zenon_L59_); trivial.
% 33.02/33.19 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H13e | zenon_intro zenon_H165 ].
% 33.02/33.19 exact (zenon_H13b zenon_H13e).
% 33.02/33.19 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H158 | zenon_intro zenon_H152 ].
% 33.02/33.19 cut (((h4 (e13)) = (e23)) = ((h4 (op1 (e11) (e12))) = (op2 (h4 (e11)) (h4 (e12))))).
% 33.02/33.19 intro zenon_D_pnotp.
% 33.02/33.19 apply zenon_H353.
% 33.02/33.19 rewrite <- zenon_D_pnotp.
% 33.02/33.19 exact zenon_H334.
% 33.02/33.19 cut (((e23) = (op2 (h4 (e11)) (h4 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H354].
% 33.02/33.19 cut (((h4 (e13)) = (h4 (op1 (e11) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H355].
% 33.02/33.19 congruence.
% 33.02/33.19 elim (classic ((h4 (op1 (e11) (e12))) = (h4 (op1 (e11) (e12))))); [ zenon_intro zenon_H356 | zenon_intro zenon_H357 ].
% 33.02/33.19 cut (((h4 (op1 (e11) (e12))) = (h4 (op1 (e11) (e12)))) = ((h4 (e13)) = (h4 (op1 (e11) (e12))))).
% 33.02/33.19 intro zenon_D_pnotp.
% 33.02/33.19 apply zenon_H355.
% 33.02/33.19 rewrite <- zenon_D_pnotp.
% 33.02/33.19 exact zenon_H356.
% 33.02/33.19 cut (((h4 (op1 (e11) (e12))) = (h4 (op1 (e11) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H357].
% 33.02/33.19 cut (((h4 (op1 (e11) (e12))) = (h4 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H358].
% 33.02/33.19 congruence.
% 33.02/33.19 cut (((op1 (e11) (e12)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H15e].
% 33.02/33.19 congruence.
% 33.02/33.19 exact (zenon_H15e zenon_H158).
% 33.02/33.19 apply zenon_H357. apply refl_equal.
% 33.02/33.19 apply zenon_H357. apply refl_equal.
% 33.02/33.19 elim (classic ((op2 (h4 (e11)) (h4 (e12))) = (op2 (h4 (e11)) (h4 (e12))))); [ zenon_intro zenon_H359 | zenon_intro zenon_H35a ].
% 33.02/33.19 cut (((op2 (h4 (e11)) (h4 (e12))) = (op2 (h4 (e11)) (h4 (e12)))) = ((e23) = (op2 (h4 (e11)) (h4 (e12))))).
% 33.02/33.19 intro zenon_D_pnotp.
% 33.02/33.19 apply zenon_H354.
% 33.02/33.19 rewrite <- zenon_D_pnotp.
% 33.02/33.19 exact zenon_H359.
% 33.02/33.19 cut (((op2 (h4 (e11)) (h4 (e12))) = (op2 (h4 (e11)) (h4 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H35a].
% 33.02/33.19 cut (((op2 (h4 (e11)) (h4 (e12))) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H35b].
% 33.02/33.19 congruence.
% 33.02/33.19 cut (((op2 (e21) (e22)) = (e23)) = ((op2 (h4 (e11)) (h4 (e12))) = (e23))).
% 33.02/33.19 intro zenon_D_pnotp.
% 33.02/33.19 apply zenon_H35b.
% 33.02/33.19 rewrite <- zenon_D_pnotp.
% 33.02/33.19 exact zenon_H225.
% 33.02/33.19 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1da].
% 33.02/33.19 cut (((op2 (e21) (e22)) = (op2 (h4 (e11)) (h4 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H35c].
% 33.02/33.19 congruence.
% 33.02/33.19 elim (classic ((op2 (h4 (e11)) (h4 (e12))) = (op2 (h4 (e11)) (h4 (e12))))); [ zenon_intro zenon_H359 | zenon_intro zenon_H35a ].
% 33.02/33.19 cut (((op2 (h4 (e11)) (h4 (e12))) = (op2 (h4 (e11)) (h4 (e12)))) = ((op2 (e21) (e22)) = (op2 (h4 (e11)) (h4 (e12))))).
% 33.02/33.19 intro zenon_D_pnotp.
% 33.02/33.19 apply zenon_H35c.
% 33.02/33.19 rewrite <- zenon_D_pnotp.
% 33.02/33.19 exact zenon_H359.
% 33.02/33.19 cut (((op2 (h4 (e11)) (h4 (e12))) = (op2 (h4 (e11)) (h4 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H35a].
% 33.02/33.19 cut (((op2 (h4 (e11)) (h4 (e12))) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H35d].
% 33.02/33.19 congruence.
% 33.02/33.19 cut (((h4 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H325].
% 33.02/33.19 cut (((h4 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H2fa].
% 33.02/33.19 congruence.
% 33.02/33.19 apply (zenon_L166_); trivial.
% 33.02/33.19 apply (zenon_L202_); trivial.
% 33.02/33.19 apply zenon_H35a. apply refl_equal.
% 33.02/33.19 apply zenon_H35a. apply refl_equal.
% 33.02/33.19 apply zenon_H1da. apply refl_equal.
% 33.02/33.19 apply zenon_H35a. apply refl_equal.
% 33.02/33.19 apply zenon_H35a. apply refl_equal.
% 33.02/33.19 apply (zenon_L61_); trivial.
% 33.02/33.19 (* end of lemma zenon_L223_ *)
% 33.02/33.19 assert (zenon_L224_ : (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e22)) = (e22)) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> ((e12) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e12)) = (e12)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((e11) = (e13))) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e11) (e11)) = (e13))) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((h4 (e12)) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((e21) = (op2 (e23) (e23))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e11) (e12))) = (op2 (h4 (e11)) (h4 (e12))))) -> (~((e12) = (e13))) -> False).
% 33.02/33.19 do 0 intro. intros zenon_H35e zenon_H28b zenon_H1a zenon_H34 zenon_H240 zenon_H1ec zenon_H68 zenon_H15f zenon_H93 zenon_H126 zenon_H140 zenon_H13a zenon_H145 zenon_Hdd zenon_H160 zenon_Hf9 zenon_Had zenon_H13b zenon_H1dd zenon_H2fe zenon_H17 zenon_H2fb zenon_H334 zenon_H353 zenon_H153.
% 33.02/33.19 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H28a | zenon_intro zenon_H35f ].
% 33.02/33.19 apply (zenon_L131_); trivial.
% 33.02/33.19 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H241 | zenon_intro zenon_H360 ].
% 33.02/33.19 apply (zenon_L111_); trivial.
% 33.02/33.19 apply (zenon_or_s _ _ zenon_H360); [ zenon_intro zenon_H1eb | zenon_intro zenon_H225 ].
% 33.02/33.19 apply (zenon_L92_); trivial.
% 33.02/33.19 apply (zenon_L223_); trivial.
% 33.02/33.19 (* end of lemma zenon_L224_ *)
% 33.02/33.19 assert (zenon_L225_ : ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> ((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e22)) = (e22)) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((e11) = (e13))) -> (~((h4 (op1 (e11) (e12))) = (op2 (h4 (e11)) (h4 (e12))))) -> ((h4 (e13)) = (e23)) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((h4 (e12)) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e12) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((e12) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> False).
% 33.02/33.19 do 0 intro. intros zenon_Hb1 zenon_H175 zenon_H168 zenon_H28b zenon_H1a zenon_H17 zenon_H240 zenon_H34 zenon_H1ec zenon_H68 zenon_H15f zenon_Hf9 zenon_H353 zenon_H334 zenon_H1dd zenon_H2fe zenon_H2fb zenon_H153 zenon_H160 zenon_Hdd zenon_H145 zenon_H126 zenon_H140 zenon_H35e zenon_H16e zenon_H171 zenon_H92 zenon_H93 zenon_H90 zenon_H9a zenon_Ha1 zenon_Ha7.
% 33.02/33.19 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Had ].
% 33.02/33.19 apply (zenon_L30_); trivial.
% 33.02/33.19 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H13a | zenon_intro zenon_H16f ].
% 33.02/33.19 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H13b | zenon_intro zenon_H169 ].
% 33.02/33.19 apply (zenon_L224_); trivial.
% 33.02/33.19 apply (zenon_L64_); trivial.
% 33.02/33.19 apply (zenon_L65_); trivial.
% 33.02/33.19 (* end of lemma zenon_L225_ *)
% 33.02/33.19 assert (zenon_L226_ : (((~((op1 (e10) (op1 (e10) (e10))) = (op1 (e10) (e10))))/\((~((op1 (e11) (op1 (e10) (e11))) = (op1 (e10) (e11))))/\((~((op1 (e12) (op1 (e10) (e12))) = (op1 (e10) (e12))))/\(~((op1 (e13) (op1 (e10) (e13))) = (op1 (e10) (e13)))))))\/(((~((op1 (e10) (op1 (e11) (e10))) = (op1 (e11) (e10))))/\((~((op1 (e11) (op1 (e11) (e11))) = (op1 (e11) (e11))))/\((~((op1 (e12) (op1 (e11) (e12))) = (op1 (e11) (e12))))/\(~((op1 (e13) (op1 (e11) (e13))) = (op1 (e11) (e13)))))))\/(((~((op1 (e10) (op1 (e12) (e10))) = (op1 (e12) (e10))))/\((~((op1 (e11) (op1 (e12) (e11))) = (op1 (e12) (e11))))/\((~((op1 (e12) (op1 (e12) (e12))) = (op1 (e12) (e12))))/\(~((op1 (e13) (op1 (e12) (e13))) = (op1 (e12) (e13)))))))\/((~((op1 (e10) (op1 (e13) (e10))) = (op1 (e13) (e10))))/\((~((op1 (e11) (op1 (e13) (e11))) = (op1 (e13) (e11))))/\((~((op1 (e12) (op1 (e13) (e12))) = (op1 (e13) (e12))))/\(~((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e13)))))))))) -> (~((op1 (e13) (e11)) = (op1 (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) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> ((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((e12) = (e13))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((h4 (e12)) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e11) (e12))) = (op2 (h4 (e11)) (h4 (e12))))) -> (~((e11) = (e13))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op2 (e22) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((e21) = (op2 (e23) (e23))) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> False).
% 33.02/33.19 do 0 intro. intros zenon_H1ca zenon_Hd3 zenon_He8 zenon_Hdf zenon_H2de zenon_H2e3 zenon_H130 zenon_H12c zenon_H128 zenon_H11d zenon_H132 zenon_H139 zenon_He5 zenon_H1a0 zenon_H18a zenon_H186 zenon_Hfd zenon_H313 zenon_H311 zenon_H312 zenon_H1bf zenon_H172 zenon_H2e1 zenon_Hc3 zenon_H2f4 zenon_H198 zenon_H2e9 zenon_H30e zenon_Hcd zenon_Hc7 zenon_Hb9 zenon_H179 zenon_H2ef zenon_H19f zenon_Hd7 zenon_He6 zenon_H2f7 zenon_He9 zenon_H195 zenon_H19e zenon_He4 zenon_Hac zenon_Ha7 zenon_Ha1 zenon_H9a zenon_H90 zenon_H93 zenon_H92 zenon_H171 zenon_H16e zenon_H35e zenon_H140 zenon_H126 zenon_H145 zenon_H160 zenon_H153 zenon_H2fb zenon_H2fe zenon_H1dd zenon_H334 zenon_H353 zenon_Hf9 zenon_H15f zenon_H68 zenon_H1ec zenon_H34 zenon_H240 zenon_H17 zenon_H1a zenon_H28b zenon_H168 zenon_H175 zenon_Hb1.
% 33.02/33.19 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfc | zenon_intro zenon_H1cc ].
% 33.02/33.19 apply (zenon_L46_); trivial.
% 33.02/33.19 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1cd ].
% 33.02/33.19 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_H1d0. zenon_intro zenon_H1cf.
% 33.02/33.19 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H104 | zenon_intro zenon_H103 ].
% 33.02/33.19 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_Hea | zenon_intro zenon_H94 ].
% 33.02/33.19 apply (zenon_or_s _ _ zenon_H313); [ zenon_intro zenon_H2e2 | zenon_intro zenon_H131 ].
% 33.02/33.19 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H18b | zenon_intro zenon_H14c ].
% 33.02/33.19 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Had ].
% 33.02/33.19 apply (zenon_L30_); trivial.
% 33.02/33.19 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H13a | zenon_intro zenon_H16f ].
% 33.02/33.19 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H13b | zenon_intro zenon_H169 ].
% 33.02/33.19 apply (zenon_or_s _ _ zenon_H312); [ zenon_intro zenon_H19c | zenon_intro zenon_Hdd ].
% 33.02/33.19 apply (zenon_L165_); trivial.
% 33.02/33.19 apply (zenon_L224_); trivial.
% 33.02/33.19 apply (zenon_L64_); trivial.
% 33.02/33.19 apply (zenon_L65_); trivial.
% 33.02/33.19 apply (zenon_L74_); trivial.
% 33.02/33.19 apply (zenon_L175_); trivial.
% 33.02/33.19 apply (zenon_L27_); trivial.
% 33.02/33.19 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Hae | zenon_intro zenon_H106 ].
% 33.02/33.19 apply (zenon_L32_); trivial.
% 33.02/33.19 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hdd | zenon_intro zenon_Hfa ].
% 33.02/33.19 apply (zenon_L225_); trivial.
% 33.02/33.19 apply (zenon_L45_); trivial.
% 33.02/33.19 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H19d | zenon_intro zenon_H1d4 ].
% 33.02/33.19 apply (zenon_L77_); trivial.
% 33.02/33.19 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_H1d6. zenon_intro zenon_H1d5.
% 33.02/33.19 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1d8. zenon_intro zenon_H1d7.
% 33.02/33.19 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1af. zenon_intro zenon_H1d9.
% 33.02/33.19 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H104 | zenon_intro zenon_H103 ].
% 33.02/33.19 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_Hea | zenon_intro zenon_H94 ].
% 33.02/33.19 apply (zenon_or_s _ _ zenon_H313); [ zenon_intro zenon_H2e2 | zenon_intro zenon_H131 ].
% 33.02/33.19 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H18b | zenon_intro zenon_H14c ].
% 33.02/33.19 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Had ].
% 33.02/33.19 apply (zenon_L30_); trivial.
% 33.02/33.19 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H13a | zenon_intro zenon_H16f ].
% 33.02/33.19 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H13b | zenon_intro zenon_H169 ].
% 33.02/33.19 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hce | zenon_intro zenon_Hde ].
% 33.02/33.19 apply (zenon_or_s _ _ zenon_H312); [ zenon_intro zenon_H19c | zenon_intro zenon_Hdd ].
% 33.02/33.19 apply (zenon_L184_); trivial.
% 33.02/33.19 apply (zenon_L224_); trivial.
% 33.02/33.19 apply (zenon_L181_); trivial.
% 33.02/33.19 apply (zenon_L64_); trivial.
% 33.02/33.19 apply (zenon_L65_); trivial.
% 33.02/33.19 apply (zenon_L74_); trivial.
% 33.02/33.19 apply (zenon_L173_); trivial.
% 33.02/33.19 apply (zenon_L27_); trivial.
% 33.02/33.19 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Hae | zenon_intro zenon_H106 ].
% 33.02/33.19 apply (zenon_L32_); trivial.
% 33.02/33.19 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hdd | zenon_intro zenon_Hfa ].
% 33.02/33.19 apply (zenon_L225_); trivial.
% 33.02/33.19 apply (zenon_L186_); trivial.
% 33.02/33.19 (* end of lemma zenon_L226_ *)
% 33.02/33.19 assert (zenon_L227_ : ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> ((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e22)) = (e22)) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((h4 (op1 (e11) (e12))) = (op2 (h4 (e11)) (h4 (e12))))) -> ((h4 (e13)) = (e23)) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((h4 (e12)) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> ((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((~((op1 (e10) (op1 (e10) (e10))) = (op1 (e10) (e10))))/\((~((op1 (e11) (op1 (e10) (e11))) = (op1 (e10) (e11))))/\((~((op1 (e12) (op1 (e10) (e12))) = (op1 (e10) (e12))))/\(~((op1 (e13) (op1 (e10) (e13))) = (op1 (e10) (e13)))))))\/(((~((op1 (e10) (op1 (e11) (e10))) = (op1 (e11) (e10))))/\((~((op1 (e11) (op1 (e11) (e11))) = (op1 (e11) (e11))))/\((~((op1 (e12) (op1 (e11) (e12))) = (op1 (e11) (e12))))/\(~((op1 (e13) (op1 (e11) (e13))) = (op1 (e11) (e13)))))))\/(((~((op1 (e10) (op1 (e12) (e10))) = (op1 (e12) (e10))))/\((~((op1 (e11) (op1 (e12) (e11))) = (op1 (e12) (e11))))/\((~((op1 (e12) (op1 (e12) (e12))) = (op1 (e12) (e12))))/\(~((op1 (e13) (op1 (e12) (e13))) = (op1 (e12) (e13)))))))\/((~((op1 (e10) (op1 (e13) (e10))) = (op1 (e13) (e10))))/\((~((op1 (e11) (op1 (e13) (e11))) = (op1 (e13) (e11))))/\((~((op1 (e12) (op1 (e13) (e12))) = (op1 (e13) (e12))))/\(~((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e13)))))))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> False).
% 33.02/33.19 do 0 intro. intros zenon_H38 zenon_Hb1 zenon_Hac zenon_H92 zenon_H93 zenon_H90 zenon_H9a zenon_Ha1 zenon_Ha7 zenon_He4 zenon_He5 zenon_He6 zenon_Hd7 zenon_Hd3 zenon_He8 zenon_Hb9 zenon_Hc3 zenon_Hc7 zenon_Hcd zenon_Hdf zenon_He9 zenon_Hf9 zenon_Hfd zenon_H19e zenon_H195 zenon_H171 zenon_H16e zenon_H312 zenon_H28b zenon_H240 zenon_H1ec zenon_H68 zenon_H15f zenon_H353 zenon_H334 zenon_H1dd zenon_H2fe zenon_H2fb zenon_H153 zenon_H160 zenon_H145 zenon_H35e zenon_H140 zenon_H126 zenon_H1bf zenon_H19f zenon_H172 zenon_H2e1 zenon_H2de zenon_H2e3 zenon_H2f4 zenon_H198 zenon_H2ef zenon_H168 zenon_H2e9 zenon_H2f7 zenon_H179 zenon_H175 zenon_H130 zenon_H12c zenon_H128 zenon_H11d zenon_H132 zenon_H139 zenon_H313 zenon_H1a0 zenon_H18a zenon_H186 zenon_H30e zenon_H311 zenon_H1ca zenon_H19 zenon_H1a zenon_H17 zenon_H21 zenon_H28 zenon_H2e.
% 33.02/33.19 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H2f | zenon_intro zenon_H34 ].
% 33.02/33.19 apply (zenon_L7_); trivial.
% 33.02/33.19 apply (zenon_L226_); trivial.
% 33.02/33.19 (* end of lemma zenon_L227_ *)
% 33.02/33.19 assert (zenon_L228_ : ((~((op2 (e20) (op2 (e21) (e20))) = (op2 (e21) (e20))))/\((~((op2 (e21) (op2 (e21) (e21))) = (op2 (e21) (e21))))/\((~((op2 (e22) (op2 (e21) (e22))) = (op2 (e21) (e22))))/\(~((op2 (e23) (op2 (e21) (e23))) = (op2 (e21) (e23))))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> ((~((op2 (e20) (e20)) = (e22)))\/((op2 (e20) (e22)) = (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> ((~((op2 (e21) (e21)) = (e21)))\/((op2 (e21) (e21)) = (e21))) -> ((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22))) -> ((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> ((~((op2 (e20) (e20)) = (e21)))\/((op2 (e20) (e21)) = (e20))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((~((op1 (e10) (op1 (e10) (e10))) = (op1 (e10) (e10))))/\((~((op1 (e11) (op1 (e10) (e11))) = (op1 (e10) (e11))))/\((~((op1 (e12) (op1 (e10) (e12))) = (op1 (e10) (e12))))/\(~((op1 (e13) (op1 (e10) (e13))) = (op1 (e10) (e13)))))))\/(((~((op1 (e10) (op1 (e11) (e10))) = (op1 (e11) (e10))))/\((~((op1 (e11) (op1 (e11) (e11))) = (op1 (e11) (e11))))/\((~((op1 (e12) (op1 (e11) (e12))) = (op1 (e11) (e12))))/\(~((op1 (e13) (op1 (e11) (e13))) = (op1 (e11) (e13)))))))\/(((~((op1 (e10) (op1 (e12) (e10))) = (op1 (e12) (e10))))/\((~((op1 (e11) (op1 (e12) (e11))) = (op1 (e12) (e11))))/\((~((op1 (e12) (op1 (e12) (e12))) = (op1 (e12) (e12))))/\(~((op1 (e13) (op1 (e12) (e13))) = (op1 (e12) (e13)))))))\/((~((op1 (e10) (op1 (e13) (e10))) = (op1 (e13) (e10))))/\((~((op1 (e11) (op1 (e13) (e11))) = (op1 (e13) (e11))))/\((~((op1 (e12) (op1 (e13) (e12))) = (op1 (e13) (e12))))/\(~((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e13)))))))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((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)) = (e13)))\/((op1 (e11) (e13)) = (e11))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> ((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((e12) = (e13))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((h4 (e12)) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e11) (e12))) = (op2 (h4 (e11)) (h4 (e12))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((e11) = (e13))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> ((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> (~((e21) = (e23))) -> ((e21) = (op2 (e23) (e23))) -> False).
% 33.02/33.19 do 0 intro. intros zenon_H2a8 zenon_H87 zenon_H279 zenon_H277 zenon_H70 zenon_H247 zenon_H2d1 zenon_H1e3 zenon_H1e7 zenon_H25f zenon_H234 zenon_H2d0 zenon_H24b zenon_H251 zenon_H2cd zenon_H209 zenon_H2c5 zenon_H2c9 zenon_H23a zenon_H2be zenon_H27a zenon_H211 zenon_H73 zenon_H5e zenon_H2b8 zenon_H40 zenon_H4a zenon_H5a zenon_H4e zenon_H54 zenon_H62 zenon_H71 zenon_H31f zenon_H248 zenon_H6f zenon_H33 zenon_H2e zenon_H28 zenon_H21 zenon_H1a zenon_H19 zenon_H1ca zenon_H311 zenon_H30e zenon_H186 zenon_H18a zenon_H1a0 zenon_H313 zenon_H139 zenon_H132 zenon_H11d zenon_H128 zenon_H12c zenon_H130 zenon_H175 zenon_H179 zenon_H2f7 zenon_H2e9 zenon_H168 zenon_H2ef zenon_H198 zenon_H2f4 zenon_H2e3 zenon_H2de zenon_H2e1 zenon_H172 zenon_H19f zenon_H1bf zenon_H126 zenon_H140 zenon_H35e zenon_H145 zenon_H160 zenon_H153 zenon_H2fb zenon_H2fe zenon_H1dd zenon_H334 zenon_H353 zenon_H15f zenon_H1ec zenon_H240 zenon_H28b zenon_H312 zenon_H16e zenon_H171 zenon_H195 zenon_H19e zenon_Hfd zenon_Hf9 zenon_He9 zenon_Hdf zenon_Hcd zenon_Hc7 zenon_Hc3 zenon_Hb9 zenon_He8 zenon_Hd3 zenon_Hd7 zenon_He6 zenon_He5 zenon_He4 zenon_Ha7 zenon_Ha1 zenon_H9a zenon_H90 zenon_H93 zenon_H92 zenon_Hac zenon_Hb1 zenon_H38 zenon_H83 zenon_H17.
% 33.02/33.19 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H2aa. zenon_intro zenon_H2a9.
% 33.02/33.19 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H14 | zenon_intro zenon_H8c ].
% 33.02/33.19 apply (zenon_or_s _ _ zenon_H6f); [ zenon_intro zenon_H75 | zenon_intro zenon_H1b ].
% 33.02/33.19 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H1fe ].
% 33.02/33.19 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H2f | zenon_intro zenon_H34 ].
% 33.02/33.19 apply (zenon_L7_); trivial.
% 33.02/33.19 apply (zenon_or_s _ _ zenon_H70); [ zenon_intro zenon_H76 | zenon_intro zenon_H35 ].
% 33.02/33.19 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H20c | zenon_intro zenon_H241 ].
% 33.02/33.19 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H1fa | zenon_intro zenon_H1e8 ].
% 33.02/33.19 apply (zenon_or_s _ _ zenon_H31f); [ zenon_intro zenon_H27e | zenon_intro zenon_H68 ].
% 33.02/33.19 apply (zenon_L153_); trivial.
% 33.02/33.19 apply (zenon_L226_); trivial.
% 33.02/33.19 apply (zenon_L91_); trivial.
% 33.02/33.19 apply (zenon_L111_); trivial.
% 33.02/33.19 apply (zenon_L8_); trivial.
% 33.02/33.19 apply (zenon_L124_); trivial.
% 33.02/33.19 apply (zenon_L4_); trivial.
% 33.02/33.19 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H35 | zenon_intro zenon_H8d ].
% 33.02/33.19 apply (zenon_L9_); trivial.
% 33.02/33.19 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H68 | zenon_intro zenon_H84 ].
% 33.02/33.19 apply (zenon_L227_); trivial.
% 33.02/33.19 apply (zenon_L23_); trivial.
% 33.02/33.19 (* end of lemma zenon_L228_ *)
% 33.02/33.19 assert (zenon_L229_ : ((~((op2 (e20) (op2 (e23) (e20))) = (op2 (e23) (e20))))/\((~((op2 (e21) (op2 (e23) (e21))) = (op2 (e23) (e21))))/\((~((op2 (e22) (op2 (e23) (e22))) = (op2 (e23) (e22))))/\(~((op2 (e23) (op2 (e23) (e23))) = (op2 (e23) (e23))))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (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)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> ((~((op2 (e23) (e23)) = (e21)))\/((op2 (e23) (e21)) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> ((~((op2 (e20) (e20)) = (e22)))\/((op2 (e20) (e22)) = (e20))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((e21) = (op2 (e23) (e23))) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((~((op1 (e10) (op1 (e10) (e10))) = (op1 (e10) (e10))))/\((~((op1 (e11) (op1 (e10) (e11))) = (op1 (e10) (e11))))/\((~((op1 (e12) (op1 (e10) (e12))) = (op1 (e10) (e12))))/\(~((op1 (e13) (op1 (e10) (e13))) = (op1 (e10) (e13)))))))\/(((~((op1 (e10) (op1 (e11) (e10))) = (op1 (e11) (e10))))/\((~((op1 (e11) (op1 (e11) (e11))) = (op1 (e11) (e11))))/\((~((op1 (e12) (op1 (e11) (e12))) = (op1 (e11) (e12))))/\(~((op1 (e13) (op1 (e11) (e13))) = (op1 (e11) (e13)))))))\/(((~((op1 (e10) (op1 (e12) (e10))) = (op1 (e12) (e10))))/\((~((op1 (e11) (op1 (e12) (e11))) = (op1 (e12) (e11))))/\((~((op1 (e12) (op1 (e12) (e12))) = (op1 (e12) (e12))))/\(~((op1 (e13) (op1 (e12) (e13))) = (op1 (e12) (e13)))))))\/((~((op1 (e10) (op1 (e13) (e10))) = (op1 (e13) (e10))))/\((~((op1 (e11) (op1 (e13) (e11))) = (op1 (e13) (e11))))/\((~((op1 (e12) (op1 (e13) (e12))) = (op1 (e13) (e12))))/\(~((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e13)))))))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((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)) = (e13)))\/((op1 (e11) (e13)) = (e11))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> ((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((e12) = (e13))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((h4 (e12)) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e11) (e12))) = (op2 (h4 (e11)) (h4 (e12))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((e11) = (e13))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> ((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> False).
% 33.02/33.19 do 0 intro. intros zenon_H2ae zenon_H87 zenon_H2c9 zenon_H2c5 zenon_H210 zenon_H2be zenon_H23a zenon_H209 zenon_H2cd zenon_H1e3 zenon_H4a zenon_H211 zenon_H239 zenon_H1e7 zenon_H31f zenon_H277 zenon_H279 zenon_H33 zenon_H2e zenon_H28 zenon_H21 zenon_H17 zenon_H1a zenon_H19 zenon_H1ca zenon_H311 zenon_H30e zenon_H186 zenon_H18a zenon_H1a0 zenon_H313 zenon_H139 zenon_H132 zenon_H11d zenon_H128 zenon_H12c zenon_H130 zenon_H175 zenon_H179 zenon_H2f7 zenon_H2e9 zenon_H168 zenon_H2ef zenon_H198 zenon_H2f4 zenon_H2e3 zenon_H2de zenon_H2e1 zenon_H172 zenon_H19f zenon_H1bf zenon_H126 zenon_H140 zenon_H35e zenon_H145 zenon_H160 zenon_H153 zenon_H2fb zenon_H2fe zenon_H1dd zenon_H334 zenon_H353 zenon_H15f zenon_H1ec zenon_H240 zenon_H28b zenon_H312 zenon_H16e zenon_H171 zenon_H195 zenon_H19e zenon_Hfd zenon_Hf9 zenon_He9 zenon_Hdf zenon_Hcd zenon_Hc7 zenon_Hc3 zenon_Hb9 zenon_He8 zenon_Hd3 zenon_Hd7 zenon_He6 zenon_He5 zenon_He4 zenon_Ha7 zenon_Ha1 zenon_H9a zenon_H90 zenon_H93 zenon_H92 zenon_Hac zenon_Hb1 zenon_H38.
% 33.02/33.19 apply (zenon_and_s _ _ zenon_H2ae). zenon_intro zenon_H285. zenon_intro zenon_H2af.
% 33.02/33.19 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_H2b1. zenon_intro zenon_H2b0.
% 33.02/33.19 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H293. zenon_intro zenon_H2a3.
% 33.02/33.19 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H14 | zenon_intro zenon_H8c ].
% 33.02/33.19 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H1fe ].
% 33.02/33.19 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H2f | zenon_intro zenon_H34 ].
% 33.02/33.19 apply (zenon_L7_); trivial.
% 33.02/33.19 apply (zenon_or_s _ _ zenon_H31f); [ zenon_intro zenon_H27e | zenon_intro zenon_H68 ].
% 33.02/33.19 apply (zenon_L196_); trivial.
% 33.02/33.19 apply (zenon_L226_); trivial.
% 33.02/33.19 apply (zenon_L124_); trivial.
% 33.02/33.19 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H35 | zenon_intro zenon_H8d ].
% 33.02/33.19 apply (zenon_L9_); trivial.
% 33.02/33.19 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H68 | zenon_intro zenon_H84 ].
% 33.02/33.19 apply (zenon_L227_); trivial.
% 33.02/33.19 apply (zenon_L139_); trivial.
% 33.02/33.19 (* end of lemma zenon_L229_ *)
% 33.02/33.19 assert (zenon_L230_ : (((~((op2 (e20) (op2 (e20) (e20))) = (op2 (e20) (e20))))/\((~((op2 (e21) (op2 (e20) (e21))) = (op2 (e20) (e21))))/\((~((op2 (e22) (op2 (e20) (e22))) = (op2 (e20) (e22))))/\(~((op2 (e23) (op2 (e20) (e23))) = (op2 (e20) (e23)))))))\/(((~((op2 (e20) (op2 (e21) (e20))) = (op2 (e21) (e20))))/\((~((op2 (e21) (op2 (e21) (e21))) = (op2 (e21) (e21))))/\((~((op2 (e22) (op2 (e21) (e22))) = (op2 (e21) (e22))))/\(~((op2 (e23) (op2 (e21) (e23))) = (op2 (e21) (e23)))))))\/(((~((op2 (e20) (op2 (e22) (e20))) = (op2 (e22) (e20))))/\((~((op2 (e21) (op2 (e22) (e21))) = (op2 (e22) (e21))))/\((~((op2 (e22) (op2 (e22) (e22))) = (op2 (e22) (e22))))/\(~((op2 (e23) (op2 (e22) (e23))) = (op2 (e22) (e23)))))))\/((~((op2 (e20) (op2 (e23) (e20))) = (op2 (e23) (e20))))/\((~((op2 (e21) (op2 (e23) (e21))) = (op2 (e23) (e21))))/\((~((op2 (e22) (op2 (e23) (e22))) = (op2 (e23) (e22))))/\(~((op2 (e23) (op2 (e23) (e23))) = (op2 (e23) (e23)))))))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((~((op2 (e22) (e22)) = (e21)))\/((op2 (e22) (e21)) = (e22))) -> ((~((op2 (e20) (e20)) = (e21)))\/((op2 (e20) (e21)) = (e20))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22))) -> ((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22))) -> ((~((op2 (e21) (e21)) = (e21)))\/((op2 (e21) (e21)) = (e21))) -> (~((e21) = (e23))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (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)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> ((~((op2 (e23) (e23)) = (e21)))\/((op2 (e23) (e21)) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> ((~((op2 (e20) (e20)) = (e22)))\/((op2 (e20) (e22)) = (e20))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((e21) = (op2 (e23) (e23))) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((~((op1 (e10) (op1 (e10) (e10))) = (op1 (e10) (e10))))/\((~((op1 (e11) (op1 (e10) (e11))) = (op1 (e10) (e11))))/\((~((op1 (e12) (op1 (e10) (e12))) = (op1 (e10) (e12))))/\(~((op1 (e13) (op1 (e10) (e13))) = (op1 (e10) (e13)))))))\/(((~((op1 (e10) (op1 (e11) (e10))) = (op1 (e11) (e10))))/\((~((op1 (e11) (op1 (e11) (e11))) = (op1 (e11) (e11))))/\((~((op1 (e12) (op1 (e11) (e12))) = (op1 (e11) (e12))))/\(~((op1 (e13) (op1 (e11) (e13))) = (op1 (e11) (e13)))))))\/(((~((op1 (e10) (op1 (e12) (e10))) = (op1 (e12) (e10))))/\((~((op1 (e11) (op1 (e12) (e11))) = (op1 (e12) (e11))))/\((~((op1 (e12) (op1 (e12) (e12))) = (op1 (e12) (e12))))/\(~((op1 (e13) (op1 (e12) (e13))) = (op1 (e12) (e13)))))))\/((~((op1 (e10) (op1 (e13) (e10))) = (op1 (e13) (e10))))/\((~((op1 (e11) (op1 (e13) (e11))) = (op1 (e13) (e11))))/\((~((op1 (e12) (op1 (e13) (e12))) = (op1 (e13) (e12))))/\(~((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e13)))))))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((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)) = (e13)))\/((op1 (e11) (e13)) = (e11))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> ((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((e12) = (e13))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((h4 (e12)) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e11) (e12))) = (op2 (h4 (e11)) (h4 (e12))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((e11) = (e13))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> ((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> False).
% 33.02/33.19 do 0 intro. intros zenon_H2a4 zenon_H6a zenon_H74 zenon_H6f zenon_H71 zenon_H54 zenon_H4e zenon_H5a zenon_H2b8 zenon_H5e zenon_H73 zenon_H2d0 zenon_H2d1 zenon_H247 zenon_H70 zenon_H83 zenon_H248 zenon_H24b zenon_H62 zenon_H25f zenon_H234 zenon_H251 zenon_H20b zenon_H268 zenon_H40 zenon_H274 zenon_H27a zenon_H87 zenon_H2c9 zenon_H2c5 zenon_H210 zenon_H2be zenon_H23a zenon_H209 zenon_H2cd zenon_H1e3 zenon_H4a zenon_H211 zenon_H239 zenon_H1e7 zenon_H31f zenon_H277 zenon_H279 zenon_H33 zenon_H2e zenon_H28 zenon_H21 zenon_H17 zenon_H1a zenon_H19 zenon_H1ca zenon_H311 zenon_H30e zenon_H186 zenon_H18a zenon_H1a0 zenon_H313 zenon_H139 zenon_H132 zenon_H11d zenon_H128 zenon_H12c zenon_H130 zenon_H175 zenon_H179 zenon_H2f7 zenon_H2e9 zenon_H168 zenon_H2ef zenon_H198 zenon_H2f4 zenon_H2e3 zenon_H2de zenon_H2e1 zenon_H172 zenon_H19f zenon_H1bf zenon_H126 zenon_H140 zenon_H35e zenon_H145 zenon_H160 zenon_H153 zenon_H2fb zenon_H2fe zenon_H1dd zenon_H334 zenon_H353 zenon_H15f zenon_H1ec zenon_H240 zenon_H28b zenon_H312 zenon_H16e zenon_H171 zenon_H195 zenon_H19e zenon_Hfd zenon_Hf9 zenon_He9 zenon_Hdf zenon_Hcd zenon_Hc7 zenon_Hc3 zenon_Hb9 zenon_He8 zenon_Hd3 zenon_Hd7 zenon_He6 zenon_He5 zenon_He4 zenon_Ha7 zenon_Ha1 zenon_H9a zenon_H90 zenon_H93 zenon_H92 zenon_Hac zenon_Hb1 zenon_H38.
% 33.02/33.19 apply (zenon_or_s _ _ zenon_H2a4); [ zenon_intro zenon_H86 | zenon_intro zenon_H2a6 ].
% 33.02/33.19 apply (zenon_L24_); trivial.
% 33.02/33.19 apply (zenon_or_s _ _ zenon_H2a6); [ zenon_intro zenon_H2a8 | zenon_intro zenon_H2a7 ].
% 33.02/33.19 apply (zenon_L228_); trivial.
% 33.02/33.19 apply (zenon_or_s _ _ zenon_H2a7); [ zenon_intro zenon_H27f | zenon_intro zenon_H2ae ].
% 33.02/33.19 apply (zenon_L127_); trivial.
% 33.02/33.19 apply (zenon_L229_); trivial.
% 33.02/33.19 (* end of lemma zenon_L230_ *)
% 33.02/33.19 assert (zenon_L231_ : (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e21)) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e22)) = (e22)) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> ((e12) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e12)) = (e12)) -> (~((h4 (op1 (e11) (e13))) = (op2 (h4 (e11)) (h4 (e13))))) -> ((h4 (e12)) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e21) = (op2 (e23) (e23))) -> ((h4 (e13)) = (e23)) -> False).
% 33.02/33.19 do 0 intro. intros zenon_H20b zenon_H1a zenon_H1e3 zenon_H20c zenon_H1ec zenon_H68 zenon_H15f zenon_H93 zenon_H126 zenon_H140 zenon_H13a zenon_H145 zenon_Hdd zenon_H361 zenon_H2fe zenon_H1dd zenon_H2fb zenon_H17 zenon_H334.
% 33.02/33.19 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H20d ].
% 33.02/33.19 apply (zenon_L90_); trivial.
% 33.02/33.19 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H20f | zenon_intro zenon_H20e ].
% 33.02/33.19 exact (zenon_H20c zenon_H20f).
% 33.02/33.19 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H1eb | zenon_intro zenon_H1f3 ].
% 33.02/33.20 apply (zenon_L92_); trivial.
% 33.02/33.20 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H141 | zenon_intro zenon_H162 ].
% 33.02/33.20 apply (zenon_L57_); trivial.
% 33.02/33.20 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H13f | zenon_intro zenon_H163 ].
% 33.02/33.20 exact (zenon_H13a zenon_H13f).
% 33.02/33.20 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H144 | zenon_intro zenon_H151 ].
% 33.02/33.20 apply (zenon_L58_); trivial.
% 33.02/33.20 cut (((h4 (e12)) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) = ((h4 (op1 (e11) (e13))) = (op2 (h4 (e11)) (h4 (e13))))).
% 33.02/33.20 intro zenon_D_pnotp.
% 33.02/33.20 apply zenon_H361.
% 33.02/33.20 rewrite <- zenon_D_pnotp.
% 33.02/33.20 exact zenon_H2fe.
% 33.02/33.20 cut (((op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) = (op2 (h4 (e11)) (h4 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H362].
% 33.02/33.20 cut (((h4 (e12)) = (h4 (op1 (e11) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H363].
% 33.02/33.20 congruence.
% 33.02/33.20 elim (classic ((h4 (op1 (e11) (e13))) = (h4 (op1 (e11) (e13))))); [ zenon_intro zenon_H364 | zenon_intro zenon_H365 ].
% 33.02/33.20 cut (((h4 (op1 (e11) (e13))) = (h4 (op1 (e11) (e13)))) = ((h4 (e12)) = (h4 (op1 (e11) (e13))))).
% 33.02/33.20 intro zenon_D_pnotp.
% 33.02/33.20 apply zenon_H363.
% 33.02/33.20 rewrite <- zenon_D_pnotp.
% 33.02/33.20 exact zenon_H364.
% 33.02/33.20 cut (((h4 (op1 (e11) (e13))) = (h4 (op1 (e11) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H365].
% 33.02/33.20 cut (((h4 (op1 (e11) (e13))) = (h4 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H366].
% 33.02/33.20 congruence.
% 33.02/33.20 cut (((op1 (e11) (e13)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H367].
% 33.02/33.20 congruence.
% 33.02/33.20 exact (zenon_H367 zenon_H151).
% 33.02/33.20 apply zenon_H365. apply refl_equal.
% 33.02/33.20 apply zenon_H365. apply refl_equal.
% 33.02/33.20 elim (classic ((op2 (h4 (e11)) (h4 (e13))) = (op2 (h4 (e11)) (h4 (e13))))); [ zenon_intro zenon_H368 | zenon_intro zenon_H369 ].
% 33.02/33.20 cut (((op2 (h4 (e11)) (h4 (e13))) = (op2 (h4 (e11)) (h4 (e13)))) = ((op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) = (op2 (h4 (e11)) (h4 (e13))))).
% 33.02/33.20 intro zenon_D_pnotp.
% 33.02/33.20 apply zenon_H362.
% 33.02/33.20 rewrite <- zenon_D_pnotp.
% 33.02/33.20 exact zenon_H368.
% 33.02/33.20 cut (((op2 (h4 (e11)) (h4 (e13))) = (op2 (h4 (e11)) (h4 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H369].
% 33.02/33.20 cut (((op2 (h4 (e11)) (h4 (e13))) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))))); [idtac | apply NNPP; zenon_intro zenon_H36a].
% 33.02/33.20 congruence.
% 33.02/33.20 cut (((op2 (e21) (e23)) = (e22)) = ((op2 (h4 (e11)) (h4 (e13))) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))))).
% 33.02/33.20 intro zenon_D_pnotp.
% 33.02/33.20 apply zenon_H36a.
% 33.02/33.20 rewrite <- zenon_D_pnotp.
% 33.02/33.20 exact zenon_H1f3.
% 33.02/33.20 cut (((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))))); [idtac | apply NNPP; zenon_intro zenon_H308].
% 33.02/33.20 cut (((op2 (e21) (e23)) = (op2 (h4 (e11)) (h4 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H36b].
% 33.02/33.20 congruence.
% 33.02/33.20 elim (classic ((op2 (h4 (e11)) (h4 (e13))) = (op2 (h4 (e11)) (h4 (e13))))); [ zenon_intro zenon_H368 | zenon_intro zenon_H369 ].
% 33.02/33.20 cut (((op2 (h4 (e11)) (h4 (e13))) = (op2 (h4 (e11)) (h4 (e13)))) = ((op2 (e21) (e23)) = (op2 (h4 (e11)) (h4 (e13))))).
% 33.02/33.20 intro zenon_D_pnotp.
% 33.02/33.20 apply zenon_H36b.
% 33.02/33.20 rewrite <- zenon_D_pnotp.
% 33.02/33.20 exact zenon_H368.
% 33.02/33.20 cut (((op2 (h4 (e11)) (h4 (e13))) = (op2 (h4 (e11)) (h4 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H369].
% 33.02/33.20 cut (((op2 (h4 (e11)) (h4 (e13))) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H36c].
% 33.02/33.20 congruence.
% 33.02/33.20 cut (((h4 (e13)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H340].
% 33.02/33.20 cut (((h4 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H2fa].
% 33.02/33.20 congruence.
% 33.02/33.20 apply (zenon_L166_); trivial.
% 33.02/33.20 exact (zenon_H340 zenon_H334).
% 33.02/33.20 apply zenon_H369. apply refl_equal.
% 33.02/33.20 apply zenon_H369. apply refl_equal.
% 33.02/33.20 exact (zenon_H308 zenon_H1dd).
% 33.02/33.20 apply zenon_H369. apply refl_equal.
% 33.02/33.20 apply zenon_H369. apply refl_equal.
% 33.02/33.20 (* end of lemma zenon_L231_ *)
% 33.02/33.20 assert (zenon_L232_ : ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e12)) = (e12)) -> (~((h4 (op1 (e11) (e13))) = (op2 (h4 (e11)) (h4 (e13))))) -> ((h4 (e12)) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((h4 (e13)) = (e23)) -> ((e21) = (op2 (e23) (e23))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op2 (e22) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e21)) = (e22))) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> False).
% 33.02/33.20 do 0 intro. intros zenon_Hb1 zenon_H20b zenon_H140 zenon_H126 zenon_H145 zenon_Hdd zenon_H361 zenon_H2fe zenon_H334 zenon_H17 zenon_H2fb zenon_H15f zenon_H68 zenon_H1ec zenon_H20c zenon_H1a zenon_H1dd zenon_H1e3 zenon_H16e zenon_H171 zenon_H92 zenon_H93 zenon_H90 zenon_H9a zenon_Ha1 zenon_Ha7.
% 33.02/33.20 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Had ].
% 33.02/33.20 apply (zenon_L30_); trivial.
% 33.02/33.20 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H13a | zenon_intro zenon_H16f ].
% 33.02/33.20 apply (zenon_L231_); trivial.
% 33.02/33.20 apply (zenon_L65_); trivial.
% 33.02/33.20 (* end of lemma zenon_L232_ *)
% 33.02/33.20 assert (zenon_L233_ : (((~((op1 (e10) (op1 (e10) (e10))) = (op1 (e10) (e10))))/\((~((op1 (e11) (op1 (e10) (e11))) = (op1 (e10) (e11))))/\((~((op1 (e12) (op1 (e10) (e12))) = (op1 (e10) (e12))))/\(~((op1 (e13) (op1 (e10) (e13))) = (op1 (e10) (e13)))))))\/(((~((op1 (e10) (op1 (e11) (e10))) = (op1 (e11) (e10))))/\((~((op1 (e11) (op1 (e11) (e11))) = (op1 (e11) (e11))))/\((~((op1 (e12) (op1 (e11) (e12))) = (op1 (e11) (e12))))/\(~((op1 (e13) (op1 (e11) (e13))) = (op1 (e11) (e13)))))))\/(((~((op1 (e10) (op1 (e12) (e10))) = (op1 (e12) (e10))))/\((~((op1 (e11) (op1 (e12) (e11))) = (op1 (e12) (e11))))/\((~((op1 (e12) (op1 (e12) (e12))) = (op1 (e12) (e12))))/\(~((op1 (e13) (op1 (e12) (e13))) = (op1 (e12) (e13)))))))\/((~((op1 (e10) (op1 (e13) (e10))) = (op1 (e13) (e10))))/\((~((op1 (e11) (op1 (e13) (e11))) = (op1 (e13) (e11))))/\((~((op1 (e12) (op1 (e13) (e12))) = (op1 (e13) (e12))))/\(~((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e13)))))))))) -> (~((op1 (e13) (e11)) = (op1 (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)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10))) -> ((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11))) -> ((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (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 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> ((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e22)) = (e22)) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e21) = (op2 (e23) (e23))) -> ((h4 (e13)) = (e23)) -> ((h4 (e12)) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> (~((h4 (op1 (e11) (e13))) = (op2 (h4 (e11)) (h4 (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((e12) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> False).
% 33.02/33.20 do 0 intro. intros zenon_H1ca zenon_Hd3 zenon_He8 zenon_Hdf zenon_H2e3 zenon_H2de zenon_H311 zenon_H1a0 zenon_H18a zenon_H186 zenon_Hfd zenon_H313 zenon_He5 zenon_H175 zenon_H139 zenon_H132 zenon_H11d zenon_H128 zenon_H12c zenon_H130 zenon_He9 zenon_H2f7 zenon_He6 zenon_Hd7 zenon_H19f zenon_H2ef zenon_Hf9 zenon_H179 zenon_Hb9 zenon_Hc7 zenon_Hcd zenon_H30e zenon_H2e9 zenon_H168 zenon_H198 zenon_H2f4 zenon_Hc3 zenon_H2e1 zenon_H172 zenon_H1bf zenon_H312 zenon_H195 zenon_H19e zenon_He4 zenon_Hac zenon_Ha7 zenon_Ha1 zenon_H9a zenon_H90 zenon_H93 zenon_H92 zenon_H171 zenon_H16e zenon_H1e3 zenon_H1dd zenon_H1a zenon_H20c zenon_H1ec zenon_H68 zenon_H15f zenon_H2fb zenon_H17 zenon_H334 zenon_H2fe zenon_H361 zenon_H145 zenon_H126 zenon_H140 zenon_H20b zenon_Hb1.
% 33.02/33.20 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfc | zenon_intro zenon_H1cc ].
% 33.02/33.20 apply (zenon_L46_); trivial.
% 33.02/33.20 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1cd ].
% 33.02/33.20 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_H1d0. zenon_intro zenon_H1cf.
% 33.02/33.20 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H104 | zenon_intro zenon_H103 ].
% 33.02/33.20 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_Hea | zenon_intro zenon_H94 ].
% 33.02/33.20 apply (zenon_or_s _ _ zenon_H313); [ zenon_intro zenon_H2e2 | zenon_intro zenon_H131 ].
% 33.02/33.20 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H18b | zenon_intro zenon_H14c ].
% 33.02/33.20 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Had ].
% 33.02/33.20 apply (zenon_L30_); trivial.
% 33.02/33.20 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H13a | zenon_intro zenon_H16f ].
% 33.02/33.20 apply (zenon_or_s _ _ zenon_H312); [ zenon_intro zenon_H19c | zenon_intro zenon_Hdd ].
% 33.02/33.20 apply (zenon_L165_); trivial.
% 33.02/33.20 apply (zenon_L231_); trivial.
% 33.02/33.20 apply (zenon_L65_); trivial.
% 33.02/33.20 apply (zenon_L74_); trivial.
% 33.02/33.20 apply (zenon_L173_); trivial.
% 33.02/33.20 apply (zenon_L27_); trivial.
% 33.02/33.20 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Hae | zenon_intro zenon_H106 ].
% 33.02/33.20 apply (zenon_L32_); trivial.
% 33.02/33.20 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hdd | zenon_intro zenon_Hfa ].
% 33.02/33.20 apply (zenon_L232_); trivial.
% 33.02/33.20 apply (zenon_L45_); trivial.
% 33.02/33.20 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H19d | zenon_intro zenon_H1d4 ].
% 33.02/33.20 apply (zenon_L77_); trivial.
% 33.02/33.20 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_H1d6. zenon_intro zenon_H1d5.
% 33.02/33.20 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1d8. zenon_intro zenon_H1d7.
% 33.02/33.20 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1af. zenon_intro zenon_H1d9.
% 33.02/33.20 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H104 | zenon_intro zenon_H103 ].
% 33.02/33.20 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_Hea | zenon_intro zenon_H94 ].
% 33.02/33.20 apply (zenon_or_s _ _ zenon_H313); [ zenon_intro zenon_H2e2 | zenon_intro zenon_H131 ].
% 33.02/33.20 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H18b | zenon_intro zenon_H14c ].
% 33.02/33.20 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Had ].
% 33.02/33.20 apply (zenon_L30_); trivial.
% 33.02/33.20 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H13a | zenon_intro zenon_H16f ].
% 33.02/33.20 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hce | zenon_intro zenon_Hde ].
% 33.02/33.20 apply (zenon_or_s _ _ zenon_H312); [ zenon_intro zenon_H19c | zenon_intro zenon_Hdd ].
% 33.02/33.20 apply (zenon_L184_); trivial.
% 33.02/33.20 apply (zenon_L231_); trivial.
% 33.02/33.20 apply (zenon_L181_); trivial.
% 33.02/33.20 apply (zenon_L65_); trivial.
% 33.02/33.20 apply (zenon_L74_); trivial.
% 33.02/33.20 apply (zenon_L175_); trivial.
% 33.02/33.20 apply (zenon_L27_); trivial.
% 33.02/33.20 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Hae | zenon_intro zenon_H106 ].
% 33.02/33.20 apply (zenon_L32_); trivial.
% 33.02/33.20 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hdd | zenon_intro zenon_Hfa ].
% 33.02/33.20 apply (zenon_L232_); trivial.
% 33.02/33.20 apply (zenon_L186_); trivial.
% 33.02/33.20 (* end of lemma zenon_L233_ *)
% 33.02/33.20 assert (zenon_L234_ : ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> (((~((op1 (e10) (op1 (e10) (e10))) = (op1 (e10) (e10))))/\((~((op1 (e11) (op1 (e10) (e11))) = (op1 (e10) (e11))))/\((~((op1 (e12) (op1 (e10) (e12))) = (op1 (e10) (e12))))/\(~((op1 (e13) (op1 (e10) (e13))) = (op1 (e10) (e13)))))))\/(((~((op1 (e10) (op1 (e11) (e10))) = (op1 (e11) (e10))))/\((~((op1 (e11) (op1 (e11) (e11))) = (op1 (e11) (e11))))/\((~((op1 (e12) (op1 (e11) (e12))) = (op1 (e11) (e12))))/\(~((op1 (e13) (op1 (e11) (e13))) = (op1 (e11) (e13)))))))\/(((~((op1 (e10) (op1 (e12) (e10))) = (op1 (e12) (e10))))/\((~((op1 (e11) (op1 (e12) (e11))) = (op1 (e12) (e11))))/\((~((op1 (e12) (op1 (e12) (e12))) = (op1 (e12) (e12))))/\(~((op1 (e13) (op1 (e12) (e13))) = (op1 (e12) (e13)))))))\/((~((op1 (e10) (op1 (e13) (e10))) = (op1 (e13) (e10))))/\((~((op1 (e11) (op1 (e13) (e11))) = (op1 (e13) (e11))))/\((~((op1 (e12) (op1 (e13) (e12))) = (op1 (e13) (e12))))/\(~((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e13)))))))))) -> ((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((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))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e22)) = (e22)) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((h4 (e13)) = (e23)) -> ((h4 (e12)) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> (~((h4 (op1 (e11) (e13))) = (op2 (h4 (e11)) (h4 (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((e11) = (e13))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> ((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> False).
% 33.02/33.20 do 0 intro. intros zenon_H38 zenon_H1ca zenon_H175 zenon_H139 zenon_H132 zenon_H11d zenon_H128 zenon_H12c zenon_H130 zenon_H30e zenon_H186 zenon_H18a zenon_H1a0 zenon_H313 zenon_H311 zenon_H312 zenon_H1e3 zenon_H1dd zenon_H1ec zenon_H68 zenon_H15f zenon_H2fb zenon_H334 zenon_H2fe zenon_H361 zenon_H145 zenon_H20b zenon_H140 zenon_H126 zenon_H1bf zenon_H19f zenon_H172 zenon_H2e1 zenon_H2de zenon_H2e3 zenon_H2f4 zenon_H198 zenon_H2ef zenon_H168 zenon_H2e9 zenon_H2f7 zenon_H179 zenon_H16e zenon_H171 zenon_H195 zenon_H19e zenon_Hfd zenon_Hf9 zenon_He9 zenon_Hdf zenon_Hcd zenon_Hc7 zenon_Hc3 zenon_Hb9 zenon_He8 zenon_Hd3 zenon_Hd7 zenon_He6 zenon_He5 zenon_He4 zenon_Ha7 zenon_Ha1 zenon_H9a zenon_H90 zenon_H93 zenon_H92 zenon_Hac zenon_Hb1 zenon_H240 zenon_H248 zenon_H19 zenon_H1a zenon_H17 zenon_H21 zenon_H28 zenon_H2e.
% 33.02/33.20 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H2f | zenon_intro zenon_H34 ].
% 33.02/33.20 apply (zenon_L7_); trivial.
% 33.02/33.20 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H20c | zenon_intro zenon_H241 ].
% 33.02/33.20 apply (zenon_L233_); trivial.
% 33.02/33.20 apply (zenon_L111_); trivial.
% 33.02/33.20 (* end of lemma zenon_L234_ *)
% 33.02/33.20 assert (zenon_L235_ : ((~((op2 (e20) (op2 (e21) (e20))) = (op2 (e21) (e20))))/\((~((op2 (e21) (op2 (e21) (e21))) = (op2 (e21) (e21))))/\((~((op2 (e22) (op2 (e21) (e22))) = (op2 (e21) (e22))))/\(~((op2 (e23) (op2 (e21) (e23))) = (op2 (e21) (e23))))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> ((~((op2 (e20) (e20)) = (e22)))\/((op2 (e20) (e22)) = (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> ((~((op2 (e21) (e21)) = (e21)))\/((op2 (e21) (e21)) = (e21))) -> ((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22))) -> ((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> ((~((op2 (e20) (e20)) = (e21)))\/((op2 (e20) (e21)) = (e20))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> ((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> ((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((h4 (op1 (e11) (e13))) = (op2 (h4 (e11)) (h4 (e13))))) -> ((h4 (e12)) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((h4 (e13)) = (e23)) -> ((h4 (e11)) = (op2 (e23) (e23))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> ((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11))) -> (((~((op1 (e10) (op1 (e10) (e10))) = (op1 (e10) (e10))))/\((~((op1 (e11) (op1 (e10) (e11))) = (op1 (e10) (e11))))/\((~((op1 (e12) (op1 (e10) (e12))) = (op1 (e10) (e12))))/\(~((op1 (e13) (op1 (e10) (e13))) = (op1 (e10) (e13)))))))\/(((~((op1 (e10) (op1 (e11) (e10))) = (op1 (e11) (e10))))/\((~((op1 (e11) (op1 (e11) (e11))) = (op1 (e11) (e11))))/\((~((op1 (e12) (op1 (e11) (e12))) = (op1 (e11) (e12))))/\(~((op1 (e13) (op1 (e11) (e13))) = (op1 (e11) (e13)))))))\/(((~((op1 (e10) (op1 (e12) (e10))) = (op1 (e12) (e10))))/\((~((op1 (e11) (op1 (e12) (e11))) = (op1 (e12) (e11))))/\((~((op1 (e12) (op1 (e12) (e12))) = (op1 (e12) (e12))))/\(~((op1 (e13) (op1 (e12) (e13))) = (op1 (e12) (e13)))))))\/((~((op1 (e10) (op1 (e13) (e10))) = (op1 (e13) (e10))))/\((~((op1 (e11) (op1 (e13) (e11))) = (op1 (e13) (e11))))/\((~((op1 (e12) (op1 (e13) (e12))) = (op1 (e13) (e12))))/\(~((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e13)))))))))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> (~((e21) = (e23))) -> ((e21) = (op2 (e23) (e23))) -> False).
% 33.02/33.20 do 0 intro. intros zenon_H2a8 zenon_H87 zenon_H279 zenon_H277 zenon_H70 zenon_H247 zenon_H2d1 zenon_H1e7 zenon_H25f zenon_H234 zenon_H2d0 zenon_H24b zenon_H251 zenon_H2cd zenon_H209 zenon_H2c5 zenon_H2c9 zenon_H23a zenon_H2be zenon_H27a zenon_H211 zenon_H73 zenon_H5e zenon_H2b8 zenon_H40 zenon_H4a zenon_H5a zenon_H4e zenon_H54 zenon_H62 zenon_H71 zenon_H31f zenon_H6f zenon_H33 zenon_H2e zenon_H28 zenon_H21 zenon_H1a zenon_H19 zenon_H248 zenon_H240 zenon_Hb1 zenon_Hac zenon_H92 zenon_H93 zenon_H90 zenon_H9a zenon_Ha1 zenon_Ha7 zenon_He4 zenon_He5 zenon_He6 zenon_Hd7 zenon_Hd3 zenon_He8 zenon_Hb9 zenon_Hc3 zenon_Hc7 zenon_Hcd zenon_Hdf zenon_He9 zenon_Hf9 zenon_Hfd zenon_H19e zenon_H195 zenon_H171 zenon_H16e zenon_H179 zenon_H2f7 zenon_H2e9 zenon_H168 zenon_H2ef zenon_H198 zenon_H2f4 zenon_H2e3 zenon_H2de zenon_H2e1 zenon_H172 zenon_H19f zenon_H1bf zenon_H126 zenon_H140 zenon_H20b zenon_H145 zenon_H361 zenon_H2fe zenon_H334 zenon_H2fb zenon_H15f zenon_H1ec zenon_H1dd zenon_H1e3 zenon_H312 zenon_H311 zenon_H313 zenon_H1a0 zenon_H18a zenon_H186 zenon_H30e zenon_H130 zenon_H12c zenon_H128 zenon_H11d zenon_H132 zenon_H139 zenon_H175 zenon_H1ca zenon_H38 zenon_H83 zenon_H17.
% 33.02/33.20 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H2aa. zenon_intro zenon_H2a9.
% 33.02/33.20 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H14 | zenon_intro zenon_H8c ].
% 33.02/33.20 apply (zenon_or_s _ _ zenon_H6f); [ zenon_intro zenon_H75 | zenon_intro zenon_H1b ].
% 33.02/33.20 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H1fe ].
% 33.02/33.20 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H2f | zenon_intro zenon_H34 ].
% 33.02/33.20 apply (zenon_L7_); trivial.
% 33.02/33.20 apply (zenon_or_s _ _ zenon_H70); [ zenon_intro zenon_H76 | zenon_intro zenon_H35 ].
% 33.02/33.20 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H20c | zenon_intro zenon_H241 ].
% 33.02/33.20 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H1fa | zenon_intro zenon_H1e8 ].
% 33.02/33.20 apply (zenon_or_s _ _ zenon_H31f); [ zenon_intro zenon_H27e | zenon_intro zenon_H68 ].
% 33.02/33.20 apply (zenon_L153_); trivial.
% 33.02/33.20 apply (zenon_L233_); trivial.
% 33.02/33.20 apply (zenon_L91_); trivial.
% 33.02/33.20 apply (zenon_L111_); trivial.
% 33.02/33.20 apply (zenon_L8_); trivial.
% 33.02/33.20 apply (zenon_L124_); trivial.
% 33.02/33.20 apply (zenon_L4_); trivial.
% 33.02/33.20 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H35 | zenon_intro zenon_H8d ].
% 33.02/33.20 apply (zenon_L9_); trivial.
% 33.02/33.20 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H68 | zenon_intro zenon_H84 ].
% 33.02/33.20 apply (zenon_L234_); trivial.
% 33.02/33.20 apply (zenon_L23_); trivial.
% 33.02/33.20 (* end of lemma zenon_L235_ *)
% 33.02/33.20 assert (zenon_L236_ : ((~((op2 (e20) (op2 (e22) (e20))) = (op2 (e22) (e20))))/\((~((op2 (e21) (op2 (e22) (e21))) = (op2 (e22) (e21))))/\((~((op2 (e22) (op2 (e22) (e22))) = (op2 (e22) (e22))))/\(~((op2 (e23) (op2 (e22) (e23))) = (op2 (e22) (e23))))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> ((~((op2 (e20) (e20)) = (e22)))\/((op2 (e20) (e22)) = (e20))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> ((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> ((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((h4 (op1 (e11) (e13))) = (op2 (h4 (e11)) (h4 (e13))))) -> ((h4 (e12)) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((h4 (e13)) = (e23)) -> ((h4 (e11)) = (op2 (e23) (e23))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> ((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11))) -> (((~((op1 (e10) (op1 (e10) (e10))) = (op1 (e10) (e10))))/\((~((op1 (e11) (op1 (e10) (e11))) = (op1 (e10) (e11))))/\((~((op1 (e12) (op1 (e10) (e12))) = (op1 (e10) (e12))))/\(~((op1 (e13) (op1 (e10) (e13))) = (op1 (e10) (e13)))))))\/(((~((op1 (e10) (op1 (e11) (e10))) = (op1 (e11) (e10))))/\((~((op1 (e11) (op1 (e11) (e11))) = (op1 (e11) (e11))))/\((~((op1 (e12) (op1 (e11) (e12))) = (op1 (e11) (e12))))/\(~((op1 (e13) (op1 (e11) (e13))) = (op1 (e11) (e13)))))))\/(((~((op1 (e10) (op1 (e12) (e10))) = (op1 (e12) (e10))))/\((~((op1 (e11) (op1 (e12) (e11))) = (op1 (e12) (e11))))/\((~((op1 (e12) (op1 (e12) (e12))) = (op1 (e12) (e12))))/\(~((op1 (e13) (op1 (e12) (e13))) = (op1 (e12) (e13)))))))\/((~((op1 (e10) (op1 (e13) (e10))) = (op1 (e13) (e10))))/\((~((op1 (e11) (op1 (e13) (e11))) = (op1 (e13) (e11))))/\((~((op1 (e12) (op1 (e13) (e12))) = (op1 (e13) (e12))))/\(~((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e13)))))))))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> (~((e21) = (e23))) -> ((e21) = (op2 (e23) (e23))) -> False).
% 33.02/33.20 do 0 intro. intros zenon_H27f zenon_H87 zenon_H27a zenon_H274 zenon_H40 zenon_H268 zenon_H1e7 zenon_H209 zenon_H251 zenon_H234 zenon_H25f zenon_H211 zenon_H62 zenon_H24b zenon_H277 zenon_H279 zenon_H33 zenon_H2e zenon_H28 zenon_H21 zenon_H1a zenon_H19 zenon_H248 zenon_H240 zenon_Hb1 zenon_Hac zenon_H92 zenon_H93 zenon_H90 zenon_H9a zenon_Ha1 zenon_Ha7 zenon_He4 zenon_He5 zenon_He6 zenon_Hd7 zenon_Hd3 zenon_He8 zenon_Hb9 zenon_Hc3 zenon_Hc7 zenon_Hcd zenon_Hdf zenon_He9 zenon_Hf9 zenon_Hfd zenon_H19e zenon_H195 zenon_H171 zenon_H16e zenon_H179 zenon_H2f7 zenon_H2e9 zenon_H168 zenon_H2ef zenon_H198 zenon_H2f4 zenon_H2e3 zenon_H2de zenon_H2e1 zenon_H172 zenon_H19f zenon_H1bf zenon_H126 zenon_H140 zenon_H20b zenon_H145 zenon_H361 zenon_H2fe zenon_H334 zenon_H2fb zenon_H15f zenon_H1ec zenon_H1dd zenon_H1e3 zenon_H312 zenon_H311 zenon_H313 zenon_H1a0 zenon_H18a zenon_H186 zenon_H30e zenon_H130 zenon_H12c zenon_H128 zenon_H11d zenon_H132 zenon_H139 zenon_H175 zenon_H1ca zenon_H38 zenon_H83 zenon_H17.
% 33.02/33.20 apply (zenon_and_s _ _ zenon_H27f). zenon_intro zenon_H26c. zenon_intro zenon_H280.
% 33.02/33.20 apply (zenon_and_s _ _ zenon_H280). zenon_intro zenon_H255. zenon_intro zenon_H281.
% 33.02/33.20 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H14 | zenon_intro zenon_H8c ].
% 33.02/33.20 apply (zenon_L125_); trivial.
% 33.02/33.20 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H35 | zenon_intro zenon_H8d ].
% 33.02/33.20 apply (zenon_L9_); trivial.
% 33.02/33.20 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H68 | zenon_intro zenon_H84 ].
% 33.02/33.20 apply (zenon_L234_); trivial.
% 33.02/33.20 apply (zenon_L23_); trivial.
% 33.02/33.20 (* end of lemma zenon_L236_ *)
% 33.02/33.20 assert (zenon_L237_ : ((~((op2 (e20) (op2 (e23) (e20))) = (op2 (e23) (e20))))/\((~((op2 (e21) (op2 (e23) (e21))) = (op2 (e23) (e21))))/\((~((op2 (e22) (op2 (e23) (e22))) = (op2 (e23) (e22))))/\(~((op2 (e23) (op2 (e23) (e23))) = (op2 (e23) (e23))))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((~((op2 (e23) (e23)) = (e21)))\/((op2 (e23) (e21)) = (e23))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> ((~((op2 (e20) (e20)) = (e22)))\/((op2 (e20) (e22)) = (e20))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((e21) = (op2 (e23) (e23))) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> ((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> ((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((h4 (op1 (e11) (e13))) = (op2 (h4 (e11)) (h4 (e13))))) -> ((h4 (e12)) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((h4 (e13)) = (e23)) -> ((h4 (e11)) = (op2 (e23) (e23))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> ((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11))) -> (((~((op1 (e10) (op1 (e10) (e10))) = (op1 (e10) (e10))))/\((~((op1 (e11) (op1 (e10) (e11))) = (op1 (e10) (e11))))/\((~((op1 (e12) (op1 (e10) (e12))) = (op1 (e10) (e12))))/\(~((op1 (e13) (op1 (e10) (e13))) = (op1 (e10) (e13)))))))\/(((~((op1 (e10) (op1 (e11) (e10))) = (op1 (e11) (e10))))/\((~((op1 (e11) (op1 (e11) (e11))) = (op1 (e11) (e11))))/\((~((op1 (e12) (op1 (e11) (e12))) = (op1 (e11) (e12))))/\(~((op1 (e13) (op1 (e11) (e13))) = (op1 (e11) (e13)))))))\/(((~((op1 (e10) (op1 (e12) (e10))) = (op1 (e12) (e10))))/\((~((op1 (e11) (op1 (e12) (e11))) = (op1 (e12) (e11))))/\((~((op1 (e12) (op1 (e12) (e12))) = (op1 (e12) (e12))))/\(~((op1 (e13) (op1 (e12) (e13))) = (op1 (e12) (e13)))))))\/((~((op1 (e10) (op1 (e13) (e10))) = (op1 (e13) (e10))))/\((~((op1 (e11) (op1 (e13) (e11))) = (op1 (e13) (e11))))/\((~((op1 (e12) (op1 (e13) (e12))) = (op1 (e13) (e12))))/\(~((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e13)))))))))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> False).
% 33.02/33.20 do 0 intro. intros zenon_H2ae zenon_H87 zenon_H31f zenon_H1e7 zenon_H239 zenon_H211 zenon_H4a zenon_H2cd zenon_H209 zenon_H23a zenon_H2be zenon_H210 zenon_H2c5 zenon_H2c9 zenon_H277 zenon_H279 zenon_H33 zenon_H2e zenon_H28 zenon_H21 zenon_H17 zenon_H1a zenon_H19 zenon_H248 zenon_H240 zenon_Hb1 zenon_Hac zenon_H92 zenon_H93 zenon_H90 zenon_H9a zenon_Ha1 zenon_Ha7 zenon_He4 zenon_He5 zenon_He6 zenon_Hd7 zenon_Hd3 zenon_He8 zenon_Hb9 zenon_Hc3 zenon_Hc7 zenon_Hcd zenon_Hdf zenon_He9 zenon_Hf9 zenon_Hfd zenon_H19e zenon_H195 zenon_H171 zenon_H16e zenon_H179 zenon_H2f7 zenon_H2e9 zenon_H168 zenon_H2ef zenon_H198 zenon_H2f4 zenon_H2e3 zenon_H2de zenon_H2e1 zenon_H172 zenon_H19f zenon_H1bf zenon_H126 zenon_H140 zenon_H20b zenon_H145 zenon_H361 zenon_H2fe zenon_H334 zenon_H2fb zenon_H15f zenon_H1ec zenon_H1dd zenon_H1e3 zenon_H312 zenon_H311 zenon_H313 zenon_H1a0 zenon_H18a zenon_H186 zenon_H30e zenon_H130 zenon_H12c zenon_H128 zenon_H11d zenon_H132 zenon_H139 zenon_H175 zenon_H1ca zenon_H38.
% 33.02/33.20 apply (zenon_and_s _ _ zenon_H2ae). zenon_intro zenon_H285. zenon_intro zenon_H2af.
% 33.02/33.20 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_H2b1. zenon_intro zenon_H2b0.
% 33.02/33.20 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H293. zenon_intro zenon_H2a3.
% 33.02/33.20 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H14 | zenon_intro zenon_H8c ].
% 33.02/33.20 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H1fe ].
% 33.02/33.20 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H2f | zenon_intro zenon_H34 ].
% 33.02/33.20 apply (zenon_L7_); trivial.
% 33.02/33.20 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H20c | zenon_intro zenon_H241 ].
% 33.02/33.20 apply (zenon_or_s _ _ zenon_H31f); [ zenon_intro zenon_H27e | zenon_intro zenon_H68 ].
% 33.02/33.20 apply (zenon_L196_); trivial.
% 33.02/33.20 apply (zenon_L233_); trivial.
% 33.02/33.20 apply (zenon_L111_); trivial.
% 33.02/33.20 apply (zenon_L124_); trivial.
% 33.02/33.20 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H35 | zenon_intro zenon_H8d ].
% 33.02/33.20 apply (zenon_L9_); trivial.
% 33.02/33.20 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H68 | zenon_intro zenon_H84 ].
% 33.02/33.20 apply (zenon_L234_); trivial.
% 33.02/33.20 apply (zenon_L139_); trivial.
% 33.02/33.20 (* end of lemma zenon_L237_ *)
% 33.02/33.20 assert (zenon_L238_ : (((~((op2 (e20) (op2 (e20) (e20))) = (op2 (e20) (e20))))/\((~((op2 (e21) (op2 (e20) (e21))) = (op2 (e20) (e21))))/\((~((op2 (e22) (op2 (e20) (e22))) = (op2 (e20) (e22))))/\(~((op2 (e23) (op2 (e20) (e23))) = (op2 (e20) (e23)))))))\/(((~((op2 (e20) (op2 (e21) (e20))) = (op2 (e21) (e20))))/\((~((op2 (e21) (op2 (e21) (e21))) = (op2 (e21) (e21))))/\((~((op2 (e22) (op2 (e21) (e22))) = (op2 (e21) (e22))))/\(~((op2 (e23) (op2 (e21) (e23))) = (op2 (e21) (e23)))))))\/(((~((op2 (e20) (op2 (e22) (e20))) = (op2 (e22) (e20))))/\((~((op2 (e21) (op2 (e22) (e21))) = (op2 (e22) (e21))))/\((~((op2 (e22) (op2 (e22) (e22))) = (op2 (e22) (e22))))/\(~((op2 (e23) (op2 (e22) (e23))) = (op2 (e22) (e23)))))))\/((~((op2 (e20) (op2 (e23) (e20))) = (op2 (e23) (e20))))/\((~((op2 (e21) (op2 (e23) (e21))) = (op2 (e23) (e21))))/\((~((op2 (e22) (op2 (e23) (e22))) = (op2 (e23) (e22))))/\(~((op2 (e23) (op2 (e23) (e23))) = (op2 (e23) (e23)))))))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((~((op2 (e22) (e22)) = (e21)))\/((op2 (e22) (e21)) = (e22))) -> ((~((op2 (e20) (e20)) = (e21)))\/((op2 (e20) (e21)) = (e20))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22))) -> ((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22))) -> ((~((op2 (e21) (e21)) = (e21)))\/((op2 (e21) (e21)) = (e21))) -> (~((e21) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((~((op2 (e23) (e23)) = (e21)))\/((op2 (e23) (e21)) = (e23))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> ((~((op2 (e20) (e20)) = (e22)))\/((op2 (e20) (e22)) = (e20))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((e21) = (op2 (e23) (e23))) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> ((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> ((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((h4 (op1 (e11) (e13))) = (op2 (h4 (e11)) (h4 (e13))))) -> ((h4 (e12)) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((h4 (e13)) = (e23)) -> ((h4 (e11)) = (op2 (e23) (e23))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> ((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11))) -> (((~((op1 (e10) (op1 (e10) (e10))) = (op1 (e10) (e10))))/\((~((op1 (e11) (op1 (e10) (e11))) = (op1 (e10) (e11))))/\((~((op1 (e12) (op1 (e10) (e12))) = (op1 (e10) (e12))))/\(~((op1 (e13) (op1 (e10) (e13))) = (op1 (e10) (e13)))))))\/(((~((op1 (e10) (op1 (e11) (e10))) = (op1 (e11) (e10))))/\((~((op1 (e11) (op1 (e11) (e11))) = (op1 (e11) (e11))))/\((~((op1 (e12) (op1 (e11) (e12))) = (op1 (e11) (e12))))/\(~((op1 (e13) (op1 (e11) (e13))) = (op1 (e11) (e13)))))))\/(((~((op1 (e10) (op1 (e12) (e10))) = (op1 (e12) (e10))))/\((~((op1 (e11) (op1 (e12) (e11))) = (op1 (e12) (e11))))/\((~((op1 (e12) (op1 (e12) (e12))) = (op1 (e12) (e12))))/\(~((op1 (e13) (op1 (e12) (e13))) = (op1 (e12) (e13)))))))\/((~((op1 (e10) (op1 (e13) (e10))) = (op1 (e13) (e10))))/\((~((op1 (e11) (op1 (e13) (e11))) = (op1 (e13) (e11))))/\((~((op1 (e12) (op1 (e13) (e12))) = (op1 (e13) (e12))))/\(~((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e13)))))))))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> False).
% 33.05/33.21 do 0 intro. intros zenon_H2a4 zenon_H6a zenon_H74 zenon_H6f zenon_H71 zenon_H54 zenon_H4e zenon_H5a zenon_H2b8 zenon_H5e zenon_H73 zenon_H2d0 zenon_H2d1 zenon_H247 zenon_H70 zenon_H83 zenon_H24b zenon_H62 zenon_H25f zenon_H234 zenon_H251 zenon_H268 zenon_H40 zenon_H274 zenon_H27a zenon_H87 zenon_H31f zenon_H1e7 zenon_H239 zenon_H211 zenon_H4a zenon_H2cd zenon_H209 zenon_H23a zenon_H2be zenon_H210 zenon_H2c5 zenon_H2c9 zenon_H277 zenon_H279 zenon_H33 zenon_H2e zenon_H28 zenon_H21 zenon_H17 zenon_H1a zenon_H19 zenon_H248 zenon_H240 zenon_Hb1 zenon_Hac zenon_H92 zenon_H93 zenon_H90 zenon_H9a zenon_Ha1 zenon_Ha7 zenon_He4 zenon_He5 zenon_He6 zenon_Hd7 zenon_Hd3 zenon_He8 zenon_Hb9 zenon_Hc3 zenon_Hc7 zenon_Hcd zenon_Hdf zenon_He9 zenon_Hf9 zenon_Hfd zenon_H19e zenon_H195 zenon_H171 zenon_H16e zenon_H179 zenon_H2f7 zenon_H2e9 zenon_H168 zenon_H2ef zenon_H198 zenon_H2f4 zenon_H2e3 zenon_H2de zenon_H2e1 zenon_H172 zenon_H19f zenon_H1bf zenon_H126 zenon_H140 zenon_H20b zenon_H145 zenon_H361 zenon_H2fe zenon_H334 zenon_H2fb zenon_H15f zenon_H1ec zenon_H1dd zenon_H1e3 zenon_H312 zenon_H311 zenon_H313 zenon_H1a0 zenon_H18a zenon_H186 zenon_H30e zenon_H130 zenon_H12c zenon_H128 zenon_H11d zenon_H132 zenon_H139 zenon_H175 zenon_H1ca zenon_H38.
% 33.05/33.21 apply (zenon_or_s _ _ zenon_H2a4); [ zenon_intro zenon_H86 | zenon_intro zenon_H2a6 ].
% 33.05/33.21 apply (zenon_L24_); trivial.
% 33.05/33.21 apply (zenon_or_s _ _ zenon_H2a6); [ zenon_intro zenon_H2a8 | zenon_intro zenon_H2a7 ].
% 33.05/33.21 apply (zenon_L235_); trivial.
% 33.05/33.21 apply (zenon_or_s _ _ zenon_H2a7); [ zenon_intro zenon_H27f | zenon_intro zenon_H2ae ].
% 33.05/33.21 apply (zenon_L236_); trivial.
% 33.05/33.21 apply (zenon_L237_); trivial.
% 33.05/33.21 (* end of lemma zenon_L238_ *)
% 33.05/33.21 assert (zenon_L239_ : ((h4 (e13)) = (e23)) -> ((op1 (e12) (e10)) = (e13)) -> (~((e23) = (h4 (op1 (e12) (e10))))) -> False).
% 33.05/33.21 do 0 intro. intros zenon_H334 zenon_H17f zenon_H36d.
% 33.05/33.21 elim (classic ((h4 (op1 (e12) (e10))) = (h4 (op1 (e12) (e10))))); [ zenon_intro zenon_H36e | zenon_intro zenon_H36f ].
% 33.05/33.21 cut (((h4 (op1 (e12) (e10))) = (h4 (op1 (e12) (e10)))) = ((e23) = (h4 (op1 (e12) (e10))))).
% 33.05/33.21 intro zenon_D_pnotp.
% 33.05/33.21 apply zenon_H36d.
% 33.05/33.21 rewrite <- zenon_D_pnotp.
% 33.05/33.21 exact zenon_H36e.
% 33.05/33.21 cut (((h4 (op1 (e12) (e10))) = (h4 (op1 (e12) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H36f].
% 33.05/33.21 cut (((h4 (op1 (e12) (e10))) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H370].
% 33.05/33.21 congruence.
% 33.05/33.21 cut (((h4 (e13)) = (e23)) = ((h4 (op1 (e12) (e10))) = (e23))).
% 33.05/33.21 intro zenon_D_pnotp.
% 33.05/33.21 apply zenon_H370.
% 33.05/33.21 rewrite <- zenon_D_pnotp.
% 33.05/33.21 exact zenon_H334.
% 33.05/33.21 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1da].
% 33.05/33.21 cut (((h4 (e13)) = (h4 (op1 (e12) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H371].
% 33.05/33.21 congruence.
% 33.05/33.21 elim (classic ((h4 (op1 (e12) (e10))) = (h4 (op1 (e12) (e10))))); [ zenon_intro zenon_H36e | zenon_intro zenon_H36f ].
% 33.05/33.21 cut (((h4 (op1 (e12) (e10))) = (h4 (op1 (e12) (e10)))) = ((h4 (e13)) = (h4 (op1 (e12) (e10))))).
% 33.05/33.21 intro zenon_D_pnotp.
% 33.05/33.21 apply zenon_H371.
% 33.05/33.21 rewrite <- zenon_D_pnotp.
% 33.05/33.21 exact zenon_H36e.
% 33.05/33.21 cut (((h4 (op1 (e12) (e10))) = (h4 (op1 (e12) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H36f].
% 33.05/33.21 cut (((h4 (op1 (e12) (e10))) = (h4 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H372].
% 33.05/33.21 congruence.
% 33.05/33.21 cut (((op1 (e12) (e10)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H185].
% 33.05/33.21 congruence.
% 33.05/33.21 exact (zenon_H185 zenon_H17f).
% 33.05/33.21 apply zenon_H36f. apply refl_equal.
% 33.05/33.21 apply zenon_H36f. apply refl_equal.
% 33.05/33.21 apply zenon_H1da. apply refl_equal.
% 33.05/33.21 apply zenon_H36f. apply refl_equal.
% 33.05/33.21 apply zenon_H36f. apply refl_equal.
% 33.05/33.21 (* end of lemma zenon_L239_ *)
% 33.05/33.21 assert (zenon_L240_ : ((op2 (e22) (e20)) = (e23)) -> ((h4 (e12)) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((h4 (e10)) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((h4 (e13)) = (e23)) -> ((op1 (e12) (e10)) = (e13)) -> (~((h4 (op1 (e12) (e10))) = (op2 (h4 (e12)) (h4 (e10))))) -> False).
% 33.05/33.21 do 0 intro. intros zenon_H26d zenon_H2fe zenon_H1dd zenon_H108 zenon_H1a zenon_H334 zenon_H17f zenon_H373.
% 33.05/33.21 elim (classic ((op2 (h4 (e12)) (h4 (e10))) = (op2 (h4 (e12)) (h4 (e10))))); [ zenon_intro zenon_H374 | zenon_intro zenon_H375 ].
% 33.05/33.21 cut (((op2 (h4 (e12)) (h4 (e10))) = (op2 (h4 (e12)) (h4 (e10)))) = ((h4 (op1 (e12) (e10))) = (op2 (h4 (e12)) (h4 (e10))))).
% 33.05/33.21 intro zenon_D_pnotp.
% 33.05/33.21 apply zenon_H373.
% 33.05/33.21 rewrite <- zenon_D_pnotp.
% 33.05/33.21 exact zenon_H374.
% 33.05/33.21 cut (((op2 (h4 (e12)) (h4 (e10))) = (op2 (h4 (e12)) (h4 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H375].
% 33.05/33.21 cut (((op2 (h4 (e12)) (h4 (e10))) = (h4 (op1 (e12) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H376].
% 33.05/33.21 congruence.
% 33.05/33.21 cut (((op2 (e22) (e20)) = (e23)) = ((op2 (h4 (e12)) (h4 (e10))) = (h4 (op1 (e12) (e10))))).
% 33.05/33.21 intro zenon_D_pnotp.
% 33.05/33.21 apply zenon_H376.
% 33.05/33.21 rewrite <- zenon_D_pnotp.
% 33.05/33.21 exact zenon_H26d.
% 33.05/33.21 cut (((e23) = (h4 (op1 (e12) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H36d].
% 33.05/33.21 cut (((op2 (e22) (e20)) = (op2 (h4 (e12)) (h4 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H377].
% 33.05/33.21 congruence.
% 33.05/33.21 elim (classic ((op2 (h4 (e12)) (h4 (e10))) = (op2 (h4 (e12)) (h4 (e10))))); [ zenon_intro zenon_H374 | zenon_intro zenon_H375 ].
% 33.05/33.21 cut (((op2 (h4 (e12)) (h4 (e10))) = (op2 (h4 (e12)) (h4 (e10)))) = ((op2 (e22) (e20)) = (op2 (h4 (e12)) (h4 (e10))))).
% 33.05/33.21 intro zenon_D_pnotp.
% 33.05/33.21 apply zenon_H377.
% 33.05/33.21 rewrite <- zenon_D_pnotp.
% 33.05/33.21 exact zenon_H374.
% 33.05/33.21 cut (((op2 (h4 (e12)) (h4 (e10))) = (op2 (h4 (e12)) (h4 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H375].
% 33.05/33.21 cut (((op2 (h4 (e12)) (h4 (e10))) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H378].
% 33.05/33.21 congruence.
% 33.05/33.21 cut (((h4 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H107].
% 33.05/33.21 cut (((h4 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H325].
% 33.05/33.21 congruence.
% 33.05/33.21 apply (zenon_L202_); trivial.
% 33.05/33.21 apply (zenon_L47_); trivial.
% 33.05/33.21 apply zenon_H375. apply refl_equal.
% 33.05/33.21 apply zenon_H375. apply refl_equal.
% 33.05/33.21 apply (zenon_L239_); trivial.
% 33.05/33.21 apply zenon_H375. apply refl_equal.
% 33.05/33.21 apply zenon_H375. apply refl_equal.
% 33.05/33.21 (* end of lemma zenon_L240_ *)
% 33.05/33.21 assert (zenon_L241_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (e13))) -> (~((e11) = (e13))) -> ((op1 (e11) (e10)) = (e11)) -> (~((h4 (op1 (e12) (e10))) = (op2 (h4 (e12)) (h4 (e10))))) -> ((h4 (e13)) = (e23)) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((h4 (e10)) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((h4 (e12)) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((op2 (e22) (e20)) = (e23)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e11)) = (e13)) -> False).
% 33.05/33.21 do 0 intro. intros zenon_H18a zenon_H18b zenon_Hf9 zenon_Had zenon_H373 zenon_H334 zenon_H1a zenon_H108 zenon_H1dd zenon_H2fe zenon_H26d zenon_H186 zenon_H12d.
% 33.05/33.21 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H18d | zenon_intro zenon_H18c ].
% 33.05/33.21 exact (zenon_H18b zenon_H18d).
% 33.05/33.21 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H148 | zenon_intro zenon_H18e ].
% 33.05/33.21 apply (zenon_L59_); trivial.
% 33.05/33.21 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H17f | zenon_intro zenon_H187 ].
% 33.05/33.21 apply (zenon_L240_); trivial.
% 33.05/33.21 apply (zenon_L70_); trivial.
% 33.05/33.21 (* end of lemma zenon_L241_ *)
% 33.05/33.21 assert (zenon_L242_ : (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (e20)) = (e21)) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (e13))) -> (~((e11) = (e13))) -> ((op1 (e11) (e10)) = (e11)) -> (~((h4 (op1 (e12) (e10))) = (op2 (h4 (e12)) (h4 (e10))))) -> ((h4 (e13)) = (e23)) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((h4 (e10)) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((h4 (e12)) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e11)) = (e13)) -> False).
% 33.05/33.21 do 0 intro. intros zenon_H274 zenon_H268 zenon_H14 zenon_H32 zenon_H40 zenon_H34 zenon_H17 zenon_H1e7 zenon_H18a zenon_H18b zenon_Hf9 zenon_Had zenon_H373 zenon_H334 zenon_H1a zenon_H108 zenon_H1dd zenon_H2fe zenon_H186 zenon_H12d.
% 33.05/33.21 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H267 | zenon_intro zenon_H275 ].
% 33.05/33.21 apply (zenon_L120_); trivial.
% 33.05/33.21 apply (zenon_or_s _ _ zenon_H275); [ zenon_intro zenon_H3f | zenon_intro zenon_H276 ].
% 33.05/33.21 apply (zenon_L11_); trivial.
% 33.05/33.21 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H26d ].
% 33.05/33.21 apply (zenon_L91_); trivial.
% 33.05/33.21 apply (zenon_L241_); trivial.
% 33.05/33.21 (* end of lemma zenon_L242_ *)
% 33.05/33.21 assert (zenon_L243_ : ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((e11) = (e13))) -> (~((h4 (op1 (e12) (e10))) = (op2 (h4 (e12)) (h4 (e10))))) -> ((h4 (e13)) = (e23)) -> ((h4 (e12)) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((h4 (e10)) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> False).
% 33.05/33.21 do 0 intro. intros zenon_H19e zenon_H104 zenon_H195 zenon_Ha7 zenon_Ha1 zenon_H9a zenon_H90 zenon_H93 zenon_H92 zenon_H172 zenon_H19 zenon_H1a zenon_H17 zenon_H274 zenon_Hf9 zenon_H373 zenon_H334 zenon_H2fe zenon_H108 zenon_H186 zenon_H18a zenon_H1dd zenon_H1e7 zenon_H34 zenon_H40 zenon_H14 zenon_H268 zenon_H21 zenon_H28 zenon_H2e zenon_Hb1.
% 33.05/33.21 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H18b | zenon_intro zenon_H14c ].
% 33.05/33.21 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Had ].
% 33.05/33.21 apply (zenon_L30_); trivial.
% 33.05/33.21 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H91 | zenon_intro zenon_H12d ].
% 33.05/33.21 apply zenon_H91. apply sym_equal. exact zenon_H90.
% 33.05/33.21 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H1b | zenon_intro zenon_H30 ].
% 33.05/33.21 apply (zenon_L4_); trivial.
% 33.05/33.21 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H32 | zenon_intro zenon_H31 ].
% 33.05/33.21 apply (zenon_L242_); trivial.
% 33.05/33.21 apply (zenon_or_s _ _ zenon_H31); [ zenon_intro zenon_H20 | zenon_intro zenon_H27 ].
% 33.05/33.21 apply (zenon_L5_); trivial.
% 33.05/33.21 apply (zenon_L6_); trivial.
% 33.05/33.21 apply (zenon_L74_); trivial.
% 33.05/33.21 (* end of lemma zenon_L243_ *)
% 33.05/33.21 assert (zenon_L244_ : (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((h4 (op1 (e12) (e10))) = (op2 (h4 (e12)) (h4 (e10))))) -> ((h4 (e13)) = (e23)) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((h4 (e10)) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((h4 (e12)) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((op2 (e22) (e20)) = (e23)) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (op1 (e13) (e12))) = (op1 (e13) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e12)) = (e10))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e11)) = (e13)) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> False).
% 33.05/33.21 do 0 intro. intros zenon_Ha7 zenon_H92 zenon_H373 zenon_H334 zenon_H1a zenon_H108 zenon_H1dd zenon_H2fe zenon_H26d zenon_H1bf zenon_H126 zenon_Had zenon_Hb9 zenon_H1af zenon_H379 zenon_H1b7 zenon_H1a9 zenon_H130 zenon_H132 zenon_H11d zenon_H128 zenon_H12c zenon_H12d zenon_H1b6 zenon_H9a zenon_H93 zenon_H90 zenon_Ha1.
% 33.05/33.21 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H94 | zenon_intro zenon_Ha9 ].
% 33.05/33.21 apply (zenon_L27_); trivial.
% 33.05/33.21 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_Hab | zenon_intro zenon_Haa ].
% 33.05/33.21 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H131 | zenon_intro zenon_H1b8 ].
% 33.05/33.21 apply (zenon_L55_); trivial.
% 33.05/33.21 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H1b9 ].
% 33.05/33.21 apply (zenon_L78_); trivial.
% 33.05/33.21 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H1ba | zenon_intro zenon_H118 ].
% 33.05/33.21 exact (zenon_H1b7 zenon_H1ba).
% 33.05/33.21 apply (zenon_or_s _ _ zenon_H379); [ zenon_intro zenon_H1b0 | zenon_intro zenon_H37a ].
% 33.05/33.21 apply (zenon_L79_); trivial.
% 33.05/33.21 apply (zenon_or_s _ _ zenon_H37a); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H37b ].
% 33.05/33.21 apply (zenon_L34_); trivial.
% 33.05/33.21 apply (zenon_or_s _ _ zenon_H37b); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H17f ].
% 33.05/33.21 apply (zenon_L84_); trivial.
% 33.05/33.21 apply (zenon_L240_); trivial.
% 33.05/33.21 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H99 | zenon_intro zenon_Ha0 ].
% 33.05/33.21 apply (zenon_L28_); trivial.
% 33.05/33.21 apply (zenon_L29_); trivial.
% 33.05/33.21 (* end of lemma zenon_L244_ *)
% 33.05/33.21 assert (zenon_L245_ : (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (e20)) = (e21)) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((h4 (op1 (e12) (e10))) = (op2 (h4 (e12)) (h4 (e10))))) -> ((h4 (e13)) = (e23)) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((h4 (e10)) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((h4 (e12)) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (op1 (e13) (e12))) = (op1 (e13) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e12)) = (e10))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e11)) = (e13)) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> False).
% 33.05/33.21 do 0 intro. intros zenon_H274 zenon_H268 zenon_H14 zenon_H32 zenon_H40 zenon_H34 zenon_H17 zenon_H1e7 zenon_Ha7 zenon_H92 zenon_H373 zenon_H334 zenon_H1a zenon_H108 zenon_H1dd zenon_H2fe zenon_H1bf zenon_H126 zenon_Had zenon_Hb9 zenon_H1af zenon_H379 zenon_H1b7 zenon_H1a9 zenon_H130 zenon_H132 zenon_H11d zenon_H128 zenon_H12c zenon_H12d zenon_H1b6 zenon_H9a zenon_H93 zenon_H90 zenon_Ha1.
% 33.05/33.21 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H267 | zenon_intro zenon_H275 ].
% 33.05/33.21 apply (zenon_L120_); trivial.
% 33.05/33.21 apply (zenon_or_s _ _ zenon_H275); [ zenon_intro zenon_H3f | zenon_intro zenon_H276 ].
% 33.05/33.21 apply (zenon_L11_); trivial.
% 33.05/33.21 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H26d ].
% 33.05/33.21 apply (zenon_L91_); trivial.
% 33.05/33.21 apply (zenon_L244_); trivial.
% 33.05/33.21 (* end of lemma zenon_L245_ *)
% 33.05/33.21 assert (zenon_L246_ : ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> ((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((h4 (op1 (e12) (e10))) = (op2 (h4 (e12)) (h4 (e10))))) -> ((h4 (e13)) = (e23)) -> ((h4 (e12)) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((h4 (e10)) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> ((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((~((op1 (e10) (op1 (e10) (e10))) = (op1 (e10) (e10))))/\((~((op1 (e11) (op1 (e10) (e11))) = (op1 (e10) (e11))))/\((~((op1 (e12) (op1 (e10) (e12))) = (op1 (e10) (e12))))/\(~((op1 (e13) (op1 (e10) (e13))) = (op1 (e10) (e13)))))))\/(((~((op1 (e10) (op1 (e11) (e10))) = (op1 (e11) (e10))))/\((~((op1 (e11) (op1 (e11) (e11))) = (op1 (e11) (e11))))/\((~((op1 (e12) (op1 (e11) (e12))) = (op1 (e11) (e12))))/\(~((op1 (e13) (op1 (e11) (e13))) = (op1 (e11) (e13)))))))\/(((~((op1 (e10) (op1 (e12) (e10))) = (op1 (e12) (e10))))/\((~((op1 (e11) (op1 (e12) (e11))) = (op1 (e12) (e11))))/\((~((op1 (e12) (op1 (e12) (e12))) = (op1 (e12) (e12))))/\(~((op1 (e13) (op1 (e12) (e13))) = (op1 (e12) (e13)))))))\/((~((op1 (e10) (op1 (e13) (e10))) = (op1 (e13) (e10))))/\((~((op1 (e11) (op1 (e13) (e11))) = (op1 (e13) (e11))))/\((~((op1 (e12) (op1 (e13) (e12))) = (op1 (e13) (e12))))/\(~((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e13)))))))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> False).
% 33.05/33.21 do 0 intro. intros zenon_H38 zenon_Hb1 zenon_Hac zenon_H92 zenon_H93 zenon_H90 zenon_H9a zenon_Ha1 zenon_Ha7 zenon_He4 zenon_He5 zenon_He6 zenon_Hd7 zenon_Hd3 zenon_He8 zenon_Hb9 zenon_Hc3 zenon_Hc7 zenon_Hcd zenon_Hdf zenon_He9 zenon_Hf9 zenon_Hfd zenon_H19e zenon_H195 zenon_H172 zenon_H274 zenon_H373 zenon_H334 zenon_H2fe zenon_H108 zenon_H186 zenon_H18a zenon_H1dd zenon_H1e7 zenon_H40 zenon_H14 zenon_H268 zenon_H1cb zenon_H175 zenon_H168 zenon_H174 zenon_H139 zenon_H132 zenon_H11d zenon_H128 zenon_H126 zenon_H12c zenon_H130 zenon_H15f zenon_H161 zenon_H153 zenon_H14e zenon_H160 zenon_H145 zenon_H140 zenon_H173 zenon_H16e zenon_H171 zenon_H1a0 zenon_H198 zenon_H179 zenon_H19f zenon_H1c3 zenon_H1a9 zenon_H379 zenon_H1bf zenon_H1b6 zenon_H1ca zenon_H19 zenon_H1a zenon_H17 zenon_H21 zenon_H28 zenon_H2e.
% 33.05/33.21 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H2f | zenon_intro zenon_H34 ].
% 33.05/33.21 apply (zenon_L7_); trivial.
% 33.05/33.21 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfc | zenon_intro zenon_H1cc ].
% 33.05/33.21 apply (zenon_L46_); trivial.
% 33.05/33.21 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1cd ].
% 33.05/33.21 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_H1d0. zenon_intro zenon_H1cf.
% 33.05/33.21 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1d2. zenon_intro zenon_H1d1.
% 33.05/33.21 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H156. zenon_intro zenon_H1d3.
% 33.05/33.21 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H104 | zenon_intro zenon_H103 ].
% 33.05/33.21 apply (zenon_L243_); trivial.
% 33.05/33.21 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Hae | zenon_intro zenon_H106 ].
% 33.05/33.21 apply (zenon_L32_); trivial.
% 33.05/33.21 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hdd | zenon_intro zenon_Hfa ].
% 33.05/33.21 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H105 | zenon_intro zenon_H104 ].
% 33.05/33.21 apply (zenon_L66_); trivial.
% 33.05/33.21 apply (zenon_L243_); trivial.
% 33.05/33.21 apply (zenon_L45_); trivial.
% 33.05/33.21 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H19d | zenon_intro zenon_H1d4 ].
% 33.05/33.21 apply (zenon_L77_); trivial.
% 33.05/33.21 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_H1d6. zenon_intro zenon_H1d5.
% 33.05/33.21 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1d8. zenon_intro zenon_H1d7.
% 33.05/33.21 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1af. zenon_intro zenon_H1d9.
% 33.05/33.21 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Had ].
% 33.05/33.21 apply (zenon_L30_); trivial.
% 33.05/33.21 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c0 ].
% 33.05/33.21 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H91 | zenon_intro zenon_H12d ].
% 33.05/33.21 apply zenon_H91. apply sym_equal. exact zenon_H90.
% 33.05/33.21 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H1b | zenon_intro zenon_H30 ].
% 33.05/33.21 apply (zenon_L4_); trivial.
% 33.05/33.21 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H32 | zenon_intro zenon_H31 ].
% 33.05/33.21 apply (zenon_L245_); trivial.
% 33.05/33.21 apply (zenon_or_s _ _ zenon_H31); [ zenon_intro zenon_H20 | zenon_intro zenon_H27 ].
% 33.05/33.21 apply (zenon_L5_); trivial.
% 33.05/33.21 apply (zenon_L6_); trivial.
% 33.05/33.21 apply (zenon_L84_); trivial.
% 33.05/33.21 (* end of lemma zenon_L246_ *)
% 33.05/33.21 assert (zenon_L247_ : ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))) -> (~((op2 (e20) (e20)) = (e22))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e21) (e21)) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e22)) = (e22)) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e22)) = (e20))))) -> (~((op2 (e22) (op2 (e23) (e22))) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (e20)) = (e21)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((h4 (e10)) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((h4 (e12)) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e12) (e10))) = (op2 (h4 (e12)) (h4 (e10))))) -> (~((e11) = (e13))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e22)) = (e20))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e23)) = (e20))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (op2 (e23) (e20))) = (op2 (e23) (e20)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((op2 (e23) (e21)) = (e23)) -> (~((op2 (e21) (op2 (e23) (e21))) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> False).
% 33.05/33.21 do 0 intro. intros zenon_H19e zenon_H104 zenon_H195 zenon_Ha7 zenon_Ha1 zenon_H9a zenon_H90 zenon_H93 zenon_H92 zenon_H172 zenon_H1e2 zenon_H211 zenon_H20c zenon_H1ec zenon_H68 zenon_H297 zenon_H293 zenon_H40 zenon_H34 zenon_H18a zenon_H186 zenon_H108 zenon_H2fe zenon_H334 zenon_H373 zenon_Hf9 zenon_H274 zenon_H28b zenon_H1fa zenon_H28 zenon_H17 zenon_H1fd zenon_H202 zenon_H201 zenon_H20b zenon_H1e7 zenon_H1a zenon_H1dd zenon_H1e3 zenon_H285 zenon_H2cd zenon_H236 zenon_H2b1 zenon_H209 zenon_H23a zenon_H2be zenon_H210 zenon_Hb1.
% 33.05/33.21 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H18b | zenon_intro zenon_H14c ].
% 33.05/33.21 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Had ].
% 33.05/33.21 apply (zenon_L30_); trivial.
% 33.05/33.21 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H91 | zenon_intro zenon_H12d ].
% 33.05/33.21 apply zenon_H91. apply sym_equal. exact zenon_H90.
% 33.05/33.21 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_H1de | zenon_intro zenon_H212 ].
% 33.05/33.21 exact (zenon_H1e2 zenon_H1de).
% 33.05/33.21 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H1f0 | zenon_intro zenon_H213 ].
% 33.05/33.21 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H1de | zenon_intro zenon_H214 ].
% 33.05/33.21 exact (zenon_H1e2 zenon_H1de).
% 33.05/33.21 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H215 ].
% 33.05/33.21 apply (zenon_L90_); trivial.
% 33.05/33.21 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H1f7 ].
% 33.05/33.21 apply (zenon_L91_); trivial.
% 33.05/33.21 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H20d ].
% 33.05/33.21 apply (zenon_L90_); trivial.
% 33.05/33.21 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H20f | zenon_intro zenon_H20e ].
% 33.05/33.21 exact (zenon_H20c zenon_H20f).
% 33.05/33.21 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H1eb | zenon_intro zenon_H1f3 ].
% 33.05/33.21 apply (zenon_L92_); trivial.
% 33.05/33.21 apply (zenon_or_s _ _ zenon_H297); [ zenon_intro zenon_H1fe | zenon_intro zenon_H298 ].
% 33.05/33.21 apply (zenon_L98_); trivial.
% 33.05/33.21 apply (zenon_or_s _ _ zenon_H298); [ zenon_intro zenon_H28a | zenon_intro zenon_H299 ].
% 33.05/33.21 apply (zenon_L131_); trivial.
% 33.05/33.21 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H29a | zenon_intro zenon_H1ff ].
% 33.05/33.21 exact (zenon_H1fa zenon_H29a).
% 33.05/33.21 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H267 | zenon_intro zenon_H275 ].
% 33.05/33.21 apply (zenon_L133_); trivial.
% 33.05/33.21 apply (zenon_or_s _ _ zenon_H275); [ zenon_intro zenon_H3f | zenon_intro zenon_H276 ].
% 33.05/33.21 apply (zenon_L11_); trivial.
% 33.05/33.21 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H26d ].
% 33.05/33.21 apply (zenon_L91_); trivial.
% 33.05/33.21 apply (zenon_L241_); trivial.
% 33.05/33.21 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H206 | zenon_intro zenon_H20a ].
% 33.05/33.21 apply (zenon_L191_); trivial.
% 33.05/33.21 apply (zenon_L193_); trivial.
% 33.05/33.21 apply (zenon_L74_); trivial.
% 33.05/33.21 (* end of lemma zenon_L247_ *)
% 33.05/33.21 assert (zenon_L248_ : (((~((op2 (e20) (op2 (e20) (e20))) = (op2 (e20) (e20))))/\((~((op2 (e21) (op2 (e20) (e21))) = (op2 (e20) (e21))))/\((~((op2 (e22) (op2 (e20) (e22))) = (op2 (e20) (e22))))/\(~((op2 (e23) (op2 (e20) (e23))) = (op2 (e20) (e23)))))))\/(((~((op2 (e20) (op2 (e21) (e20))) = (op2 (e21) (e20))))/\((~((op2 (e21) (op2 (e21) (e21))) = (op2 (e21) (e21))))/\((~((op2 (e22) (op2 (e21) (e22))) = (op2 (e21) (e22))))/\(~((op2 (e23) (op2 (e21) (e23))) = (op2 (e21) (e23)))))))\/(((~((op2 (e20) (op2 (e22) (e20))) = (op2 (e22) (e20))))/\((~((op2 (e21) (op2 (e22) (e21))) = (op2 (e22) (e21))))/\((~((op2 (e22) (op2 (e22) (e22))) = (op2 (e22) (e22))))/\(~((op2 (e23) (op2 (e22) (e23))) = (op2 (e22) (e23)))))))\/((~((op2 (e20) (op2 (e23) (e20))) = (op2 (e23) (e20))))/\((~((op2 (e21) (op2 (e23) (e21))) = (op2 (e23) (e21))))/\((~((op2 (e22) (op2 (e23) (e22))) = (op2 (e23) (e22))))/\(~((op2 (e23) (op2 (e23) (e23))) = (op2 (e23) (e23)))))))))) -> ((~((op2 (e20) (e20)) = (e21)))\/((op2 (e20) (e21)) = (e20))) -> ((~((op2 (e21) (e21)) = (e21)))\/((op2 (e21) (e21)) = (e21))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e23) (e21)) = (op2 (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 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((~((op2 (e22) (e22)) = (e21)))\/((op2 (e22) (e21)) = (e22))) -> ((~((op2 (e20) (e20)) = (e20)))\/((op2 (e20) (e20)) = (e20))) -> ((~((op2 (e23) (e23)) = (e23)))\/((op2 (e23) (e23)) = (e23))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e22) = (e23))) -> (~((e20) = (e23))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> ((~((op2 (e21) (e21)) = (e23)))\/((op2 (e21) (e23)) = (e21))) -> (~((e21) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((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)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> ((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22))) -> ((~((op2 (e23) (e23)) = (e21)))\/((op2 (e23) (e21)) = (e23))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> ((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e22)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((h4 (e10)) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((h4 (e12)) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e12) (e10))) = (op2 (h4 (e12)) (h4 (e10))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> ((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((~((op1 (e10) (op1 (e10) (e10))) = (op1 (e10) (e10))))/\((~((op1 (e11) (op1 (e10) (e11))) = (op1 (e10) (e11))))/\((~((op1 (e12) (op1 (e10) (e12))) = (op1 (e10) (e12))))/\(~((op1 (e13) (op1 (e10) (e13))) = (op1 (e10) (e13)))))))\/(((~((op1 (e10) (op1 (e11) (e10))) = (op1 (e11) (e10))))/\((~((op1 (e11) (op1 (e11) (e11))) = (op1 (e11) (e11))))/\((~((op1 (e12) (op1 (e11) (e12))) = (op1 (e11) (e12))))/\(~((op1 (e13) (op1 (e11) (e13))) = (op1 (e11) (e13)))))))\/(((~((op1 (e10) (op1 (e12) (e10))) = (op1 (e12) (e10))))/\((~((op1 (e11) (op1 (e12) (e11))) = (op1 (e12) (e11))))/\((~((op1 (e12) (op1 (e12) (e12))) = (op1 (e12) (e12))))/\(~((op1 (e13) (op1 (e12) (e13))) = (op1 (e12) (e13)))))))\/((~((op1 (e10) (op1 (e13) (e10))) = (op1 (e13) (e10))))/\((~((op1 (e11) (op1 (e13) (e11))) = (op1 (e13) (e11))))/\((~((op1 (e12) (op1 (e13) (e12))) = (op1 (e13) (e12))))/\(~((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e13)))))))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((~((op2 (e23) (e23)) = (e20)))\/((op2 (e23) (e20)) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((~((op2 (e20) (e20)) = (e22)))\/((op2 (e20) (e22)) = (e20))) -> False).
% 33.05/33.21 do 0 intro. intros zenon_H2a4 zenon_H6f zenon_H70 zenon_H71 zenon_H5e zenon_H73 zenon_H4a zenon_H4e zenon_H54 zenon_H6a zenon_H74 zenon_H2a5 zenon_H246 zenon_H5a zenon_H22e zenon_H220 zenon_H21c zenon_H22c zenon_H245 zenon_H243 zenon_H83 zenon_H277 zenon_H24b zenon_H62 zenon_H25f zenon_H251 zenon_H27a zenon_H87 zenon_H379 zenon_H268 zenon_H33 zenon_H38 zenon_H247 zenon_H239 zenon_Hb1 zenon_Hac zenon_H92 zenon_H93 zenon_H90 zenon_H9a zenon_Ha1 zenon_Ha7 zenon_He4 zenon_He5 zenon_He6 zenon_Hd7 zenon_Hd3 zenon_He8 zenon_Hb9 zenon_Hc3 zenon_Hc7 zenon_Hcd zenon_Hdf zenon_He9 zenon_Hf9 zenon_Hfd zenon_H19e zenon_H195 zenon_H172 zenon_H211 zenon_H1ec zenon_H297 zenon_H40 zenon_H18a zenon_H186 zenon_H108 zenon_H2fe zenon_H334 zenon_H373 zenon_H274 zenon_H28b zenon_H1fd zenon_H201 zenon_H20b zenon_H1e7 zenon_H1dd zenon_H1e3 zenon_H2cd zenon_H209 zenon_H23a zenon_H2be zenon_H210 zenon_H1cb zenon_H175 zenon_H168 zenon_H174 zenon_H139 zenon_H132 zenon_H11d zenon_H128 zenon_H126 zenon_H12c zenon_H130 zenon_H15f zenon_H161 zenon_H153 zenon_H14e zenon_H160 zenon_H145 zenon_H140 zenon_H173 zenon_H16e zenon_H171 zenon_H1a0 zenon_H198 zenon_H179 zenon_H19f zenon_H1c3 zenon_H1bf zenon_H1c4 zenon_H1b6 zenon_H1a9 zenon_H1ca zenon_H234 zenon_H244 zenon_H240 zenon_H248 zenon_H19 zenon_H1a zenon_H17 zenon_H21 zenon_H28 zenon_H2e zenon_H1dc zenon_H279.
% 33.05/33.21 apply (zenon_or_s _ _ zenon_H2a4); [ zenon_intro zenon_H86 | zenon_intro zenon_H2a6 ].
% 33.05/33.21 apply (zenon_L24_); trivial.
% 33.05/33.21 apply (zenon_or_s _ _ zenon_H2a6); [ zenon_intro zenon_H2a8 | zenon_intro zenon_H2a7 ].
% 33.05/33.21 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H2aa. zenon_intro zenon_H2a9.
% 33.05/33.21 apply (zenon_and_s _ _ zenon_H2a9). zenon_intro zenon_H2ac. zenon_intro zenon_H2ab.
% 33.05/33.21 apply (zenon_and_s _ _ zenon_H2ab). zenon_intro zenon_H223. zenon_intro zenon_H2ad.
% 33.05/33.21 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H14 | zenon_intro zenon_H8c ].
% 33.05/33.21 apply (zenon_L246_); trivial.
% 33.05/33.21 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H35 | zenon_intro zenon_H8d ].
% 33.05/33.21 apply (zenon_L9_); trivial.
% 33.05/33.21 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H68 | zenon_intro zenon_H84 ].
% 33.05/33.21 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_H15 | zenon_intro zenon_H14 ].
% 33.05/33.21 apply (zenon_L112_); trivial.
% 33.05/33.21 apply (zenon_L246_); trivial.
% 33.05/33.21 apply (zenon_L23_); trivial.
% 33.05/33.21 apply (zenon_or_s _ _ zenon_H2a7); [ zenon_intro zenon_H27f | zenon_intro zenon_H2ae ].
% 33.05/33.21 apply (zenon_L127_); trivial.
% 33.05/33.21 apply (zenon_and_s _ _ zenon_H2ae). zenon_intro zenon_H285. zenon_intro zenon_H2af.
% 33.05/33.21 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_H2b1. zenon_intro zenon_H2b0.
% 33.05/33.21 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H293. zenon_intro zenon_H2a3.
% 33.05/33.21 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H14 | zenon_intro zenon_H8c ].
% 33.05/33.21 apply (zenon_L246_); trivial.
% 33.05/33.21 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H35 | zenon_intro zenon_H8d ].
% 33.05/33.21 apply (zenon_L9_); trivial.
% 33.05/33.21 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H68 | zenon_intro zenon_H84 ].
% 33.05/33.21 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H1fe ].
% 33.05/33.21 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H2f | zenon_intro zenon_H34 ].
% 33.05/33.21 apply (zenon_L7_); trivial.
% 33.05/33.21 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H20c | zenon_intro zenon_H241 ].
% 33.05/33.21 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H1fa | zenon_intro zenon_H1e8 ].
% 33.05/33.21 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H202 | zenon_intro zenon_H235 ].
% 33.05/33.21 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H18 | zenon_intro zenon_H236 ].
% 33.05/33.21 apply zenon_H18. apply sym_equal. exact zenon_H17.
% 33.05/33.21 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfc | zenon_intro zenon_H1cc ].
% 33.05/33.21 apply (zenon_L46_); trivial.
% 33.05/33.21 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1cd ].
% 33.05/33.21 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_H1d0. zenon_intro zenon_H1cf.
% 33.05/33.21 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1d2. zenon_intro zenon_H1d1.
% 33.05/33.21 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H156. zenon_intro zenon_H1d3.
% 33.05/33.21 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H104 | zenon_intro zenon_H103 ].
% 33.05/33.21 apply (zenon_L247_); trivial.
% 33.05/33.21 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Hae | zenon_intro zenon_H106 ].
% 33.05/33.21 apply (zenon_L32_); trivial.
% 33.05/33.21 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hdd | zenon_intro zenon_Hfa ].
% 33.05/33.21 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H105 | zenon_intro zenon_H104 ].
% 33.05/33.21 apply (zenon_L66_); trivial.
% 33.05/33.21 apply (zenon_L247_); trivial.
% 33.05/33.21 apply (zenon_L45_); trivial.
% 33.05/33.21 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H19d | zenon_intro zenon_H1d4 ].
% 33.05/33.21 apply (zenon_L77_); trivial.
% 33.05/33.21 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_H1d6. zenon_intro zenon_H1d5.
% 33.05/33.21 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1d8. zenon_intro zenon_H1d7.
% 33.05/33.21 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1af. zenon_intro zenon_H1d9.
% 33.05/33.21 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H105 | zenon_intro zenon_H104 ].
% 33.05/33.21 apply (zenon_L85_); trivial.
% 33.05/33.21 apply (zenon_L247_); trivial.
% 33.05/33.21 apply (zenon_L109_); trivial.
% 33.05/33.21 apply (zenon_L91_); trivial.
% 33.05/33.21 apply (zenon_L111_); trivial.
% 33.05/33.21 apply (zenon_L137_); trivial.
% 33.05/33.21 apply (zenon_L139_); trivial.
% 33.05/33.21 (* end of lemma zenon_L248_ *)
% 33.05/33.21 assert (zenon_L249_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e20)) = (e21))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e11)) = (e11))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((h4 (e12)) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> (~((h4 (op1 (e12) (e11))) = (op2 (h4 (e12)) (h4 (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op2 (e21) (e21)) = (e21))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> False).
% 33.05/33.21 do 0 intro. intros zenon_H71 zenon_H75 zenon_H55 zenon_H5e zenon_He8 zenon_Hc7 zenon_Hce zenon_Hc3 zenon_Had zenon_Hb9 zenon_Hcd zenon_Heb zenon_H2fb zenon_H1dd zenon_H2fe zenon_H37c zenon_Hd3 zenon_H90 zenon_H76 zenon_H54 zenon_H40 zenon_H34 zenon_H4a zenon_H5a zenon_H4e zenon_H73 zenon_H62 zenon_H17.
% 33.05/33.21 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H78 | zenon_intro zenon_H77 ].
% 33.05/33.21 exact (zenon_H75 zenon_H78).
% 33.05/33.21 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H4b | zenon_intro zenon_H79 ].
% 33.05/33.21 apply (zenon_L15_); trivial.
% 33.05/33.21 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H59 | zenon_intro zenon_H63 ].
% 33.05/33.21 apply (zenon_or_s _ _ zenon_H73); [ zenon_intro zenon_H4b | zenon_intro zenon_H7a ].
% 33.05/33.21 apply (zenon_L16_); trivial.
% 33.05/33.21 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H35 | zenon_intro zenon_H7b ].
% 33.05/33.21 exact (zenon_H76 zenon_H35).
% 33.05/33.21 apply (zenon_or_s _ _ zenon_H7b); [ zenon_intro zenon_H47 | zenon_intro zenon_H5f ].
% 33.05/33.21 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hf0 ].
% 33.05/33.21 apply (zenon_L38_); trivial.
% 33.05/33.21 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_Hae | zenon_intro zenon_Hf1 ].
% 33.05/33.21 exact (zenon_Heb zenon_Hae).
% 33.05/33.21 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hd4 ].
% 33.05/33.21 cut (((h4 (e11)) = (op2 (e23) (e23))) = ((h4 (op1 (e12) (e11))) = (op2 (h4 (e12)) (h4 (e11))))).
% 33.05/33.21 intro zenon_D_pnotp.
% 33.05/33.21 apply zenon_H37c.
% 33.05/33.21 rewrite <- zenon_D_pnotp.
% 33.05/33.21 exact zenon_H2fb.
% 33.05/33.21 cut (((op2 (e23) (e23)) = (op2 (h4 (e12)) (h4 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H37d].
% 33.05/33.21 cut (((h4 (e11)) = (h4 (op1 (e12) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H37e].
% 33.05/33.21 congruence.
% 33.05/33.21 elim (classic ((h4 (op1 (e12) (e11))) = (h4 (op1 (e12) (e11))))); [ zenon_intro zenon_H37f | zenon_intro zenon_H380 ].
% 33.05/33.21 cut (((h4 (op1 (e12) (e11))) = (h4 (op1 (e12) (e11)))) = ((h4 (e11)) = (h4 (op1 (e12) (e11))))).
% 33.05/33.21 intro zenon_D_pnotp.
% 33.05/33.21 apply zenon_H37e.
% 33.05/33.21 rewrite <- zenon_D_pnotp.
% 33.05/33.21 exact zenon_H37f.
% 33.05/33.21 cut (((h4 (op1 (e12) (e11))) = (h4 (op1 (e12) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H380].
% 33.05/33.21 cut (((h4 (op1 (e12) (e11))) = (h4 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H381].
% 33.05/33.21 congruence.
% 33.05/33.21 cut (((op1 (e12) (e11)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H382].
% 33.05/33.21 congruence.
% 33.05/33.21 exact (zenon_H382 zenon_Hc0).
% 33.05/33.21 apply zenon_H380. apply refl_equal.
% 33.05/33.21 apply zenon_H380. apply refl_equal.
% 33.05/33.21 elim (classic ((op2 (h4 (e12)) (h4 (e11))) = (op2 (h4 (e12)) (h4 (e11))))); [ zenon_intro zenon_H383 | zenon_intro zenon_H384 ].
% 33.05/33.21 cut (((op2 (h4 (e12)) (h4 (e11))) = (op2 (h4 (e12)) (h4 (e11)))) = ((op2 (e23) (e23)) = (op2 (h4 (e12)) (h4 (e11))))).
% 33.05/33.21 intro zenon_D_pnotp.
% 33.05/33.21 apply zenon_H37d.
% 33.05/33.21 rewrite <- zenon_D_pnotp.
% 33.05/33.21 exact zenon_H383.
% 33.05/33.21 cut (((op2 (h4 (e12)) (h4 (e11))) = (op2 (h4 (e12)) (h4 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H384].
% 33.05/33.21 cut (((op2 (h4 (e12)) (h4 (e11))) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H385].
% 33.05/33.21 congruence.
% 33.05/33.21 cut (((op2 (e22) (e21)) = (e21)) = ((op2 (h4 (e12)) (h4 (e11))) = (op2 (e23) (e23)))).
% 33.05/33.21 intro zenon_D_pnotp.
% 33.05/33.21 apply zenon_H385.
% 33.05/33.21 rewrite <- zenon_D_pnotp.
% 33.05/33.21 exact zenon_H47.
% 33.05/33.21 cut (((e21) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H331].
% 33.05/33.21 cut (((op2 (e22) (e21)) = (op2 (h4 (e12)) (h4 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H386].
% 33.05/33.21 congruence.
% 33.05/33.21 elim (classic ((op2 (h4 (e12)) (h4 (e11))) = (op2 (h4 (e12)) (h4 (e11))))); [ zenon_intro zenon_H383 | zenon_intro zenon_H384 ].
% 33.05/33.21 cut (((op2 (h4 (e12)) (h4 (e11))) = (op2 (h4 (e12)) (h4 (e11)))) = ((op2 (e22) (e21)) = (op2 (h4 (e12)) (h4 (e11))))).
% 33.05/33.21 intro zenon_D_pnotp.
% 33.05/33.21 apply zenon_H386.
% 33.05/33.21 rewrite <- zenon_D_pnotp.
% 33.05/33.21 exact zenon_H383.
% 33.05/33.21 cut (((op2 (h4 (e12)) (h4 (e11))) = (op2 (h4 (e12)) (h4 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H384].
% 33.05/33.21 cut (((op2 (h4 (e12)) (h4 (e11))) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H387].
% 33.05/33.21 congruence.
% 33.05/33.21 cut (((h4 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H2fa].
% 33.05/33.21 cut (((h4 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H325].
% 33.05/33.21 congruence.
% 33.05/33.21 apply (zenon_L202_); trivial.
% 33.05/33.21 apply (zenon_L166_); trivial.
% 33.05/33.21 apply zenon_H384. apply refl_equal.
% 33.05/33.21 apply zenon_H384. apply refl_equal.
% 33.05/33.21 exact (zenon_H331 zenon_H17).
% 33.05/33.21 apply zenon_H384. apply refl_equal.
% 33.05/33.21 apply zenon_H384. apply refl_equal.
% 33.05/33.21 apply (zenon_L40_); trivial.
% 33.05/33.21 apply (zenon_L18_); trivial.
% 33.05/33.21 apply (zenon_L19_); trivial.
% 33.05/33.21 (* end of lemma zenon_L249_ *)
% 33.05/33.21 assert (zenon_L250_ : ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (op1 (e11) (e10))) = (op1 (e11) (e10)))) -> ((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))) -> (~((op2 (e20) (e20)) = (e21))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((e21) = (op2 (e23) (e23))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((h4 (op1 (e12) (e11))) = (op2 (h4 (e12)) (h4 (e11))))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((h4 (e12)) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((op1 (e10) (e10)) = (e10)) -> ((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10))) -> False).
% 33.05/33.21 do 0 intro. intros zenon_He4 zenon_Hb1 zenon_He9 zenon_He6 zenon_Hd7 zenon_H140 zenon_H126 zenon_H1bf zenon_H2e3 zenon_H179 zenon_H2de zenon_H2e1 zenon_H1d0 zenon_H172 zenon_H75 zenon_H54 zenon_H4e zenon_H55 zenon_H4a zenon_H17 zenon_H34 zenon_H40 zenon_H73 zenon_H5e zenon_Hcd zenon_Hc7 zenon_Hc3 zenon_Hb9 zenon_H37c zenon_H2fb zenon_H1dd zenon_H2fe zenon_Hd3 zenon_He8 zenon_H76 zenon_H5a zenon_H62 zenon_H71 zenon_Hac zenon_He5 zenon_H92 zenon_H93 zenon_H90 zenon_H9a zenon_Ha1 zenon_Ha7 zenon_H311 zenon_H104 zenon_H313.
% 33.05/33.21 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_Hea | zenon_intro zenon_H94 ].
% 33.05/33.21 apply (zenon_or_s _ _ zenon_H313); [ zenon_intro zenon_H2e2 | zenon_intro zenon_H131 ].
% 33.05/33.21 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Had ].
% 33.05/33.21 apply (zenon_L30_); trivial.
% 33.05/33.21 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Heb | zenon_intro zenon_Hae ].
% 33.05/33.21 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hce | zenon_intro zenon_Hde ].
% 33.05/33.21 apply (zenon_L249_); trivial.
% 33.05/33.21 apply (zenon_L159_); trivial.
% 33.05/33.21 apply (zenon_L31_); trivial.
% 33.05/33.21 apply (zenon_L173_); trivial.
% 33.05/33.21 apply (zenon_L27_); trivial.
% 33.05/33.21 (* end of lemma zenon_L250_ *)
% 33.05/33.21 assert (zenon_L251_ : ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (op1 (e13) (e11))) = (op1 (e13) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (op1 (e13) (e10))) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (e12))) -> ((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))) -> (~((op2 (e20) (e20)) = (e21))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((e21) = (op2 (e23) (e23))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((h4 (op1 (e12) (e11))) = (op2 (h4 (e12)) (h4 (e11))))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((h4 (e12)) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> False).
% 33.05/33.21 do 0 intro. intros zenon_He9 zenon_H30e zenon_H2e9 zenon_H168 zenon_H198 zenon_H1d8 zenon_H2f4 zenon_H1d6 zenon_H140 zenon_H126 zenon_H1bf zenon_H2e1 zenon_H2e2 zenon_H172 zenon_H75 zenon_H54 zenon_H4e zenon_H55 zenon_H4a zenon_H17 zenon_H34 zenon_H40 zenon_H73 zenon_H5e zenon_Hcd zenon_Hc7 zenon_Hc3 zenon_Hb9 zenon_H37c zenon_H2fb zenon_H1dd zenon_H2fe zenon_Hd3 zenon_He8 zenon_H76 zenon_H5a zenon_H62 zenon_H71 zenon_Hb1 zenon_Hac zenon_He5 zenon_H92 zenon_H93 zenon_H90 zenon_H9a zenon_Ha1 zenon_Ha7.
% 33.05/33.21 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Had ].
% 33.05/33.21 apply (zenon_L30_); trivial.
% 33.05/33.21 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Heb | zenon_intro zenon_Hae ].
% 33.05/33.21 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hce | zenon_intro zenon_Hde ].
% 33.05/33.21 apply (zenon_L249_); trivial.
% 33.05/33.21 apply (zenon_L181_); trivial.
% 33.05/33.21 apply (zenon_L32_); trivial.
% 33.05/33.21 (* end of lemma zenon_L251_ *)
% 33.05/33.21 assert (zenon_L252_ : (((~((op1 (e10) (op1 (e10) (e10))) = (op1 (e10) (e10))))/\((~((op1 (e11) (op1 (e10) (e11))) = (op1 (e10) (e11))))/\((~((op1 (e12) (op1 (e10) (e12))) = (op1 (e10) (e12))))/\(~((op1 (e13) (op1 (e10) (e13))) = (op1 (e10) (e13)))))))\/(((~((op1 (e10) (op1 (e11) (e10))) = (op1 (e11) (e10))))/\((~((op1 (e11) (op1 (e11) (e11))) = (op1 (e11) (e11))))/\((~((op1 (e12) (op1 (e11) (e12))) = (op1 (e11) (e12))))/\(~((op1 (e13) (op1 (e11) (e13))) = (op1 (e11) (e13)))))))\/(((~((op1 (e10) (op1 (e12) (e10))) = (op1 (e12) (e10))))/\((~((op1 (e11) (op1 (e12) (e11))) = (op1 (e12) (e11))))/\((~((op1 (e12) (op1 (e12) (e12))) = (op1 (e12) (e12))))/\(~((op1 (e13) (op1 (e12) (e13))) = (op1 (e12) (e13)))))))\/((~((op1 (e10) (op1 (e13) (e10))) = (op1 (e13) (e10))))/\((~((op1 (e11) (op1 (e13) (e11))) = (op1 (e13) (e11))))/\((~((op1 (e12) (op1 (e13) (e12))) = (op1 (e13) (e12))))/\(~((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e13)))))))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((e11) = (e13))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10))) -> ((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (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 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e21)) = (e21))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((h4 (e12)) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> (~((h4 (op1 (e12) (e11))) = (op2 (h4 (e12)) (h4 (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (e20)) = (e21)) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e20) (e20)) = (e21))) -> ((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> False).
% 33.05/33.22 do 0 intro. intros zenon_H1ca zenon_Hdf zenon_H1cb zenon_H311 zenon_H2de zenon_H2e3 zenon_H174 zenon_H161 zenon_H153 zenon_H14e zenon_H160 zenon_H145 zenon_H173 zenon_Hf9 zenon_He4 zenon_H1a0 zenon_H195 zenon_H15f zenon_He6 zenon_Hd7 zenon_H179 zenon_H18a zenon_H186 zenon_H19f zenon_H19e zenon_Hfd zenon_H313 zenon_H175 zenon_H139 zenon_H132 zenon_H11d zenon_H128 zenon_H12c zenon_H130 zenon_H16e zenon_H171 zenon_Ha7 zenon_Ha1 zenon_H9a zenon_H90 zenon_H93 zenon_H92 zenon_He5 zenon_Hac zenon_Hb1 zenon_H71 zenon_H62 zenon_H5a zenon_H76 zenon_He8 zenon_Hd3 zenon_H2fe zenon_H1dd zenon_H2fb zenon_H37c zenon_Hb9 zenon_Hc3 zenon_Hc7 zenon_Hcd zenon_H5e zenon_H73 zenon_H40 zenon_H34 zenon_H17 zenon_H4a zenon_H55 zenon_H4e zenon_H54 zenon_H75 zenon_H172 zenon_H2e1 zenon_H1bf zenon_H126 zenon_H140 zenon_H2f4 zenon_H198 zenon_H168 zenon_H2e9 zenon_H30e zenon_He9.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfc | zenon_intro zenon_H1cc ].
% 33.05/33.22 apply (zenon_L46_); trivial.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1cd ].
% 33.05/33.22 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_H1d0. zenon_intro zenon_H1cf.
% 33.05/33.22 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1d2. zenon_intro zenon_H1d1.
% 33.05/33.22 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H156. zenon_intro zenon_H1d3.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H104 | zenon_intro zenon_H103 ].
% 33.05/33.22 apply (zenon_L250_); trivial.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Hae | zenon_intro zenon_H106 ].
% 33.05/33.22 apply (zenon_L32_); trivial.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hdd | zenon_intro zenon_Hfa ].
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H105 | zenon_intro zenon_H104 ].
% 33.05/33.22 apply (zenon_L66_); trivial.
% 33.05/33.22 apply (zenon_L250_); trivial.
% 33.05/33.22 apply (zenon_L45_); trivial.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H19d | zenon_intro zenon_H1d4 ].
% 33.05/33.22 apply (zenon_L77_); trivial.
% 33.05/33.22 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_H1d6. zenon_intro zenon_H1d5.
% 33.05/33.22 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1d8. zenon_intro zenon_H1d7.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H313); [ zenon_intro zenon_H2e2 | zenon_intro zenon_H131 ].
% 33.05/33.22 apply (zenon_L251_); trivial.
% 33.05/33.22 apply (zenon_L175_); trivial.
% 33.05/33.22 (* end of lemma zenon_L252_ *)
% 33.05/33.22 assert (zenon_L253_ : ((~((op2 (e20) (op2 (e21) (e20))) = (op2 (e21) (e20))))/\((~((op2 (e21) (op2 (e21) (e21))) = (op2 (e21) (e21))))/\((~((op2 (e22) (op2 (e21) (e22))) = (op2 (e21) (e22))))/\(~((op2 (e23) (op2 (e21) (e23))) = (op2 (e21) (e23))))))) -> ((~((op2 (e20) (e20)) = (e21)))\/((op2 (e20) (e21)) = (e20))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((e21) = (op2 (e23) (e23))) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((~((op2 (e21) (e21)) = (e21)))\/((op2 (e21) (e21)) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((~((op2 (e22) (e22)) = (e21)))\/((op2 (e22) (e21)) = (e22))) -> ((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> ((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> ((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((h4 (op1 (e12) (e11))) = (op2 (h4 (e12)) (h4 (e11))))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((h4 (e12)) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> ((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((~((op1 (e10) (op1 (e10) (e10))) = (op1 (e10) (e10))))/\((~((op1 (e11) (op1 (e10) (e11))) = (op1 (e10) (e11))))/\((~((op1 (e12) (op1 (e10) (e12))) = (op1 (e10) (e12))))/\(~((op1 (e13) (op1 (e10) (e13))) = (op1 (e10) (e13)))))))\/(((~((op1 (e10) (op1 (e11) (e10))) = (op1 (e11) (e10))))/\((~((op1 (e11) (op1 (e11) (e11))) = (op1 (e11) (e11))))/\((~((op1 (e12) (op1 (e11) (e12))) = (op1 (e11) (e12))))/\(~((op1 (e13) (op1 (e11) (e13))) = (op1 (e11) (e13)))))))\/(((~((op1 (e10) (op1 (e12) (e10))) = (op1 (e12) (e10))))/\((~((op1 (e11) (op1 (e12) (e11))) = (op1 (e12) (e11))))/\((~((op1 (e12) (op1 (e12) (e12))) = (op1 (e12) (e12))))/\(~((op1 (e13) (op1 (e12) (e13))) = (op1 (e12) (e13)))))))\/((~((op1 (e10) (op1 (e13) (e10))) = (op1 (e13) (e10))))/\((~((op1 (e11) (op1 (e13) (e11))) = (op1 (e13) (e11))))/\((~((op1 (e12) (op1 (e13) (e12))) = (op1 (e13) (e12))))/\(~((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e13)))))))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> False).
% 33.05/33.22 do 0 intro. intros zenon_H2a8 zenon_H6f zenon_H2e zenon_H28 zenon_H21 zenon_H17 zenon_H1a zenon_H19 zenon_H70 zenon_H33 zenon_H74 zenon_H2d1 zenon_H2d0 zenon_H2b8 zenon_H6a zenon_H31f zenon_Hb1 zenon_Hac zenon_H92 zenon_H93 zenon_H90 zenon_H9a zenon_Ha1 zenon_Ha7 zenon_He4 zenon_He5 zenon_He6 zenon_Hd7 zenon_Hd3 zenon_He8 zenon_Hb9 zenon_Hc3 zenon_Hc7 zenon_Hcd zenon_Hdf zenon_He9 zenon_Hf9 zenon_Hfd zenon_H140 zenon_H126 zenon_H1bf zenon_H2e3 zenon_H179 zenon_H2de zenon_H2e1 zenon_H172 zenon_H54 zenon_H4e zenon_H4a zenon_H40 zenon_H73 zenon_H5e zenon_H37c zenon_H2fb zenon_H1dd zenon_H2fe zenon_H5a zenon_H62 zenon_H71 zenon_H311 zenon_H313 zenon_H1cb zenon_H175 zenon_H168 zenon_H174 zenon_H139 zenon_H132 zenon_H11d zenon_H128 zenon_H12c zenon_H130 zenon_H15f zenon_H161 zenon_H153 zenon_H14e zenon_H160 zenon_H145 zenon_H173 zenon_H16e zenon_H171 zenon_H1a0 zenon_H198 zenon_H195 zenon_H18a zenon_H186 zenon_H19f zenon_H19e zenon_H30e zenon_H2e9 zenon_H2f4 zenon_H1ca zenon_H1e7 zenon_H247 zenon_H38.
% 33.05/33.22 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H2aa. zenon_intro zenon_H2a9.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H6f); [ zenon_intro zenon_H75 | zenon_intro zenon_H1b ].
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H2f | zenon_intro zenon_H34 ].
% 33.05/33.22 apply (zenon_L7_); trivial.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H70); [ zenon_intro zenon_H76 | zenon_intro zenon_H35 ].
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H1fa | zenon_intro zenon_H1e8 ].
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H55 | zenon_intro zenon_H69 ].
% 33.05/33.22 apply (zenon_L252_); trivial.
% 33.05/33.22 apply (zenon_L206_); trivial.
% 33.05/33.22 apply (zenon_L91_); trivial.
% 33.05/33.22 apply (zenon_L8_); trivial.
% 33.05/33.22 apply (zenon_L4_); trivial.
% 33.05/33.22 (* end of lemma zenon_L253_ *)
% 33.05/33.22 assert (zenon_L254_ : ((~((op2 (e20) (e20)) = (e21)))\/((op2 (e20) (e21)) = (e20))) -> ((~((op2 (e22) (e22)) = (e21)))\/((op2 (e22) (e21)) = (e22))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (op2 (e23) (e21))) = (op2 (e23) (e21)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (op2 (e23) (e20))) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> ((~((op2 (e23) (e23)) = (e21)))\/((op2 (e23) (e21)) = (e23))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> ((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> ((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((h4 (op1 (e12) (e11))) = (op2 (h4 (e12)) (h4 (e11))))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((h4 (e12)) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> ((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((~((op1 (e10) (op1 (e10) (e10))) = (op1 (e10) (e10))))/\((~((op1 (e11) (op1 (e10) (e11))) = (op1 (e10) (e11))))/\((~((op1 (e12) (op1 (e10) (e12))) = (op1 (e10) (e12))))/\(~((op1 (e13) (op1 (e10) (e13))) = (op1 (e10) (e13)))))))\/(((~((op1 (e10) (op1 (e11) (e10))) = (op1 (e11) (e10))))/\((~((op1 (e11) (op1 (e11) (e11))) = (op1 (e11) (e11))))/\((~((op1 (e12) (op1 (e11) (e12))) = (op1 (e11) (e12))))/\(~((op1 (e13) (op1 (e11) (e13))) = (op1 (e11) (e13)))))))\/(((~((op1 (e10) (op1 (e12) (e10))) = (op1 (e12) (e10))))/\((~((op1 (e11) (op1 (e12) (e11))) = (op1 (e12) (e11))))/\((~((op1 (e12) (op1 (e12) (e12))) = (op1 (e12) (e12))))/\(~((op1 (e13) (op1 (e12) (e13))) = (op1 (e12) (e13)))))))\/((~((op1 (e10) (op1 (e13) (e10))) = (op1 (e13) (e10))))/\((~((op1 (e11) (op1 (e13) (e11))) = (op1 (e13) (e11))))/\((~((op1 (e12) (op1 (e13) (e12))) = (op1 (e13) (e12))))/\(~((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e13)))))))))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((~((op2 (e21) (e21)) = (e21)))\/((op2 (e21) (e21)) = (e21))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> ((op2 (e20) (e20)) = (e20)) -> ((~((op2 (e20) (e20)) = (e22)))\/((op2 (e20) (e22)) = (e20))) -> False).
% 33.05/33.22 do 0 intro. intros zenon_H6f zenon_H74 zenon_H210 zenon_H2be zenon_H23a zenon_H209 zenon_H2b1 zenon_H2cd zenon_H285 zenon_H1e3 zenon_H1e7 zenon_H211 zenon_H239 zenon_Hb1 zenon_Hac zenon_H92 zenon_H93 zenon_H90 zenon_H9a zenon_Ha1 zenon_Ha7 zenon_He4 zenon_He5 zenon_He6 zenon_Hd7 zenon_Hd3 zenon_He8 zenon_Hb9 zenon_Hc3 zenon_Hc7 zenon_Hcd zenon_Hdf zenon_He9 zenon_Hf9 zenon_Hfd zenon_H140 zenon_H126 zenon_H1bf zenon_H2e3 zenon_H179 zenon_H2de zenon_H2e1 zenon_H172 zenon_H54 zenon_H4e zenon_H4a zenon_H40 zenon_H73 zenon_H5e zenon_H37c zenon_H2fb zenon_H1dd zenon_H2fe zenon_H5a zenon_H62 zenon_H71 zenon_H311 zenon_H313 zenon_H1cb zenon_H175 zenon_H168 zenon_H174 zenon_H139 zenon_H132 zenon_H11d zenon_H128 zenon_H12c zenon_H130 zenon_H15f zenon_H161 zenon_H153 zenon_H14e zenon_H160 zenon_H145 zenon_H173 zenon_H16e zenon_H171 zenon_H1a0 zenon_H198 zenon_H195 zenon_H18a zenon_H186 zenon_H19f zenon_H19e zenon_H30e zenon_H2e9 zenon_H2f4 zenon_H1ca zenon_H38 zenon_H33 zenon_H70 zenon_H19 zenon_H1a zenon_H17 zenon_H21 zenon_H28 zenon_H2e zenon_H277 zenon_H14 zenon_H279.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H6f); [ zenon_intro zenon_H75 | zenon_intro zenon_H1b ].
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H1fe ].
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H2f | zenon_intro zenon_H34 ].
% 33.05/33.22 apply (zenon_L7_); trivial.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H70); [ zenon_intro zenon_H76 | zenon_intro zenon_H35 ].
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H55 | zenon_intro zenon_H69 ].
% 33.05/33.22 apply (zenon_L252_); trivial.
% 33.05/33.22 apply (zenon_L194_); trivial.
% 33.05/33.22 apply (zenon_L9_); trivial.
% 33.05/33.22 apply (zenon_L124_); trivial.
% 33.05/33.22 apply (zenon_L4_); trivial.
% 33.05/33.22 (* end of lemma zenon_L254_ *)
% 33.05/33.22 assert (zenon_L255_ : ((~((op2 (e20) (e20)) = (e21)))\/((op2 (e20) (e21)) = (e20))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((e21) = (op2 (e23) (e23))) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((~((op2 (e21) (e21)) = (e21)))\/((op2 (e21) (e21)) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> (((~((op1 (e10) (op1 (e10) (e10))) = (op1 (e10) (e10))))/\((~((op1 (e11) (op1 (e10) (e11))) = (op1 (e10) (e11))))/\((~((op1 (e12) (op1 (e10) (e12))) = (op1 (e10) (e12))))/\(~((op1 (e13) (op1 (e10) (e13))) = (op1 (e10) (e13)))))))\/(((~((op1 (e10) (op1 (e11) (e10))) = (op1 (e11) (e10))))/\((~((op1 (e11) (op1 (e11) (e11))) = (op1 (e11) (e11))))/\((~((op1 (e12) (op1 (e11) (e12))) = (op1 (e11) (e12))))/\(~((op1 (e13) (op1 (e11) (e13))) = (op1 (e11) (e13)))))))\/(((~((op1 (e10) (op1 (e12) (e10))) = (op1 (e12) (e10))))/\((~((op1 (e11) (op1 (e12) (e11))) = (op1 (e12) (e11))))/\((~((op1 (e12) (op1 (e12) (e12))) = (op1 (e12) (e12))))/\(~((op1 (e13) (op1 (e12) (e13))) = (op1 (e12) (e13)))))))\/((~((op1 (e10) (op1 (e13) (e10))) = (op1 (e13) (e10))))/\((~((op1 (e11) (op1 (e13) (e11))) = (op1 (e13) (e11))))/\((~((op1 (e12) (op1 (e13) (e12))) = (op1 (e13) (e12))))/\(~((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e13)))))))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> ((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> ((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((h4 (e12)) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> (~((h4 (op1 (e12) (e11))) = (op2 (h4 (e12)) (h4 (e11))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((e11) = (e13))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> ((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e22)) = (e22)) -> ((~((op2 (e22) (e22)) = (e21)))\/((op2 (e22) (e21)) = (e22))) -> False).
% 33.05/33.22 do 0 intro. intros zenon_H6f zenon_H2e zenon_H28 zenon_H21 zenon_H17 zenon_H1a zenon_H19 zenon_H70 zenon_H33 zenon_H38 zenon_H1ca zenon_H2f4 zenon_H2e9 zenon_H30e zenon_H19e zenon_H19f zenon_H186 zenon_H18a zenon_H195 zenon_H198 zenon_H1a0 zenon_H171 zenon_H16e zenon_H173 zenon_H145 zenon_H160 zenon_H14e zenon_H153 zenon_H161 zenon_H15f zenon_H130 zenon_H12c zenon_H128 zenon_H11d zenon_H132 zenon_H139 zenon_H174 zenon_H168 zenon_H175 zenon_H1cb zenon_H313 zenon_H311 zenon_H71 zenon_H62 zenon_H5a zenon_H2fe zenon_H1dd zenon_H2fb zenon_H37c zenon_H5e zenon_H73 zenon_H40 zenon_H4a zenon_H4e zenon_H54 zenon_H172 zenon_H2e1 zenon_H2de zenon_H179 zenon_H2e3 zenon_H1bf zenon_H126 zenon_H140 zenon_Hfd zenon_Hf9 zenon_He9 zenon_Hdf zenon_Hcd zenon_Hc7 zenon_Hc3 zenon_Hb9 zenon_He8 zenon_Hd3 zenon_Hd7 zenon_He6 zenon_He5 zenon_He4 zenon_Ha7 zenon_Ha1 zenon_H9a zenon_H90 zenon_H93 zenon_H92 zenon_Hac zenon_Hb1 zenon_H6a zenon_H68 zenon_H74.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H6f); [ zenon_intro zenon_H75 | zenon_intro zenon_H1b ].
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H2f | zenon_intro zenon_H34 ].
% 33.05/33.22 apply (zenon_L7_); trivial.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H70); [ zenon_intro zenon_H76 | zenon_intro zenon_H35 ].
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H55 | zenon_intro zenon_H69 ].
% 33.05/33.22 apply (zenon_L252_); trivial.
% 33.05/33.22 apply (zenon_L20_); trivial.
% 33.05/33.22 apply (zenon_L9_); trivial.
% 33.05/33.22 apply (zenon_L4_); trivial.
% 33.05/33.22 (* end of lemma zenon_L255_ *)
% 33.05/33.22 assert (zenon_L256_ : (((~((op2 (e20) (op2 (e20) (e20))) = (op2 (e20) (e20))))/\((~((op2 (e21) (op2 (e20) (e21))) = (op2 (e20) (e21))))/\((~((op2 (e22) (op2 (e20) (e22))) = (op2 (e20) (e22))))/\(~((op2 (e23) (op2 (e20) (e23))) = (op2 (e20) (e23)))))))\/(((~((op2 (e20) (op2 (e21) (e20))) = (op2 (e21) (e20))))/\((~((op2 (e21) (op2 (e21) (e21))) = (op2 (e21) (e21))))/\((~((op2 (e22) (op2 (e21) (e22))) = (op2 (e21) (e22))))/\(~((op2 (e23) (op2 (e21) (e23))) = (op2 (e21) (e23)))))))\/(((~((op2 (e20) (op2 (e22) (e20))) = (op2 (e22) (e20))))/\((~((op2 (e21) (op2 (e22) (e21))) = (op2 (e22) (e21))))/\((~((op2 (e22) (op2 (e22) (e22))) = (op2 (e22) (e22))))/\(~((op2 (e23) (op2 (e22) (e23))) = (op2 (e22) (e23)))))))\/((~((op2 (e20) (op2 (e23) (e20))) = (op2 (e23) (e20))))/\((~((op2 (e21) (op2 (e23) (e21))) = (op2 (e23) (e21))))/\((~((op2 (e22) (op2 (e23) (e22))) = (op2 (e23) (e22))))/\(~((op2 (e23) (op2 (e23) (e23))) = (op2 (e23) (e23)))))))))) -> ((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22))) -> (~((e21) = (e23))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> ((~((op2 (e20) (e20)) = (e22)))\/((op2 (e20) (e22)) = (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> ((~((op2 (e23) (e23)) = (e21)))\/((op2 (e23) (e21)) = (e23))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> ((~((op2 (e22) (e22)) = (e21)))\/((op2 (e22) (e21)) = (e22))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> ((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> ((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((h4 (op1 (e12) (e11))) = (op2 (h4 (e12)) (h4 (e11))))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((h4 (e12)) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> ((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((~((op1 (e10) (op1 (e10) (e10))) = (op1 (e10) (e10))))/\((~((op1 (e11) (op1 (e10) (e11))) = (op1 (e10) (e11))))/\((~((op1 (e12) (op1 (e10) (e12))) = (op1 (e10) (e12))))/\(~((op1 (e13) (op1 (e10) (e13))) = (op1 (e10) (e13)))))))\/(((~((op1 (e10) (op1 (e11) (e10))) = (op1 (e11) (e10))))/\((~((op1 (e11) (op1 (e11) (e11))) = (op1 (e11) (e11))))/\((~((op1 (e12) (op1 (e11) (e12))) = (op1 (e11) (e12))))/\(~((op1 (e13) (op1 (e11) (e13))) = (op1 (e11) (e13)))))))\/(((~((op1 (e10) (op1 (e12) (e10))) = (op1 (e12) (e10))))/\((~((op1 (e11) (op1 (e12) (e11))) = (op1 (e12) (e11))))/\((~((op1 (e12) (op1 (e12) (e12))) = (op1 (e12) (e12))))/\(~((op1 (e13) (op1 (e12) (e13))) = (op1 (e12) (e13)))))))\/((~((op1 (e10) (op1 (e13) (e10))) = (op1 (e13) (e10))))/\((~((op1 (e11) (op1 (e13) (e11))) = (op1 (e13) (e11))))/\((~((op1 (e12) (op1 (e13) (e12))) = (op1 (e13) (e12))))/\(~((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e13)))))))))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((~((op2 (e21) (e21)) = (e21)))\/((op2 (e21) (e21)) = (e21))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> ((~((op2 (e20) (e20)) = (e21)))\/((op2 (e20) (e21)) = (e20))) -> False).
% 33.05/33.22 do 0 intro. intros zenon_H2a4 zenon_H247 zenon_H31f zenon_H2b8 zenon_H2d0 zenon_H2d1 zenon_H83 zenon_H248 zenon_H240 zenon_H24b zenon_H25f zenon_H234 zenon_H251 zenon_H20b zenon_H268 zenon_H274 zenon_H27a zenon_H87 zenon_H279 zenon_H277 zenon_H239 zenon_H211 zenon_H1e7 zenon_H1e3 zenon_H2cd zenon_H209 zenon_H23a zenon_H2be zenon_H210 zenon_H74 zenon_H6a zenon_Hb1 zenon_Hac zenon_H92 zenon_H93 zenon_H90 zenon_H9a zenon_Ha1 zenon_Ha7 zenon_He4 zenon_He5 zenon_He6 zenon_Hd7 zenon_Hd3 zenon_He8 zenon_Hb9 zenon_Hc3 zenon_Hc7 zenon_Hcd zenon_Hdf zenon_He9 zenon_Hf9 zenon_Hfd zenon_H140 zenon_H126 zenon_H1bf zenon_H2e3 zenon_H179 zenon_H2de zenon_H2e1 zenon_H172 zenon_H54 zenon_H4e zenon_H4a zenon_H40 zenon_H73 zenon_H5e zenon_H37c zenon_H2fb zenon_H1dd zenon_H2fe zenon_H5a zenon_H62 zenon_H71 zenon_H311 zenon_H313 zenon_H1cb zenon_H175 zenon_H168 zenon_H174 zenon_H139 zenon_H132 zenon_H11d zenon_H128 zenon_H12c zenon_H130 zenon_H15f zenon_H161 zenon_H153 zenon_H14e zenon_H160 zenon_H145 zenon_H173 zenon_H16e zenon_H171 zenon_H1a0 zenon_H198 zenon_H195 zenon_H18a zenon_H186 zenon_H19f zenon_H19e zenon_H30e zenon_H2e9 zenon_H2f4 zenon_H1ca zenon_H38 zenon_H33 zenon_H70 zenon_H19 zenon_H1a zenon_H17 zenon_H21 zenon_H28 zenon_H2e zenon_H6f.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H2a4); [ zenon_intro zenon_H86 | zenon_intro zenon_H2a6 ].
% 33.05/33.22 apply (zenon_L24_); trivial.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H2a6); [ zenon_intro zenon_H2a8 | zenon_intro zenon_H2a7 ].
% 33.05/33.22 apply (zenon_L253_); trivial.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H2a7); [ zenon_intro zenon_H27f | zenon_intro zenon_H2ae ].
% 33.05/33.22 apply (zenon_L127_); trivial.
% 33.05/33.22 apply (zenon_and_s _ _ zenon_H2ae). zenon_intro zenon_H285. zenon_intro zenon_H2af.
% 33.05/33.22 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_H2b1. zenon_intro zenon_H2b0.
% 33.05/33.22 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H293. zenon_intro zenon_H2a3.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H14 | zenon_intro zenon_H8c ].
% 33.05/33.22 apply (zenon_L254_); trivial.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H35 | zenon_intro zenon_H8d ].
% 33.05/33.22 apply (zenon_L9_); trivial.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H68 | zenon_intro zenon_H84 ].
% 33.05/33.22 apply (zenon_L255_); trivial.
% 33.05/33.22 apply (zenon_L139_); trivial.
% 33.05/33.22 (* end of lemma zenon_L256_ *)
% 33.05/33.22 assert (zenon_L257_ : ((op2 (e22) (e22)) = (e22)) -> ((h4 (e12)) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> (~((op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) = (op2 (h4 (e12)) (h4 (e12))))) -> False).
% 33.05/33.22 do 0 intro. intros zenon_H68 zenon_H2fe zenon_H1dd zenon_H388.
% 33.05/33.22 elim (classic ((op2 (h4 (e12)) (h4 (e12))) = (op2 (h4 (e12)) (h4 (e12))))); [ zenon_intro zenon_H389 | zenon_intro zenon_H38a ].
% 33.05/33.22 cut (((op2 (h4 (e12)) (h4 (e12))) = (op2 (h4 (e12)) (h4 (e12)))) = ((op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) = (op2 (h4 (e12)) (h4 (e12))))).
% 33.05/33.22 intro zenon_D_pnotp.
% 33.05/33.22 apply zenon_H388.
% 33.05/33.22 rewrite <- zenon_D_pnotp.
% 33.05/33.22 exact zenon_H389.
% 33.05/33.22 cut (((op2 (h4 (e12)) (h4 (e12))) = (op2 (h4 (e12)) (h4 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H38a].
% 33.05/33.22 cut (((op2 (h4 (e12)) (h4 (e12))) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))))); [idtac | apply NNPP; zenon_intro zenon_H38b].
% 33.05/33.22 congruence.
% 33.05/33.22 cut (((op2 (e22) (e22)) = (e22)) = ((op2 (h4 (e12)) (h4 (e12))) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))))).
% 33.05/33.22 intro zenon_D_pnotp.
% 33.05/33.22 apply zenon_H38b.
% 33.05/33.22 rewrite <- zenon_D_pnotp.
% 33.05/33.22 exact zenon_H68.
% 33.05/33.22 cut (((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))))); [idtac | apply NNPP; zenon_intro zenon_H308].
% 33.05/33.22 cut (((op2 (e22) (e22)) = (op2 (h4 (e12)) (h4 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H38c].
% 33.05/33.22 congruence.
% 33.05/33.22 elim (classic ((op2 (h4 (e12)) (h4 (e12))) = (op2 (h4 (e12)) (h4 (e12))))); [ zenon_intro zenon_H389 | zenon_intro zenon_H38a ].
% 33.05/33.22 cut (((op2 (h4 (e12)) (h4 (e12))) = (op2 (h4 (e12)) (h4 (e12)))) = ((op2 (e22) (e22)) = (op2 (h4 (e12)) (h4 (e12))))).
% 33.05/33.22 intro zenon_D_pnotp.
% 33.05/33.22 apply zenon_H38c.
% 33.05/33.22 rewrite <- zenon_D_pnotp.
% 33.05/33.22 exact zenon_H389.
% 33.05/33.22 cut (((op2 (h4 (e12)) (h4 (e12))) = (op2 (h4 (e12)) (h4 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H38a].
% 33.05/33.22 cut (((op2 (h4 (e12)) (h4 (e12))) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H38d].
% 33.05/33.22 congruence.
% 33.05/33.22 cut (((h4 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H325].
% 33.05/33.22 cut (((h4 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H325].
% 33.05/33.22 congruence.
% 33.05/33.22 apply (zenon_L202_); trivial.
% 33.05/33.22 apply (zenon_L202_); trivial.
% 33.05/33.22 apply zenon_H38a. apply refl_equal.
% 33.05/33.22 apply zenon_H38a. apply refl_equal.
% 33.05/33.22 exact (zenon_H308 zenon_H1dd).
% 33.05/33.22 apply zenon_H38a. apply refl_equal.
% 33.05/33.22 apply zenon_H38a. apply refl_equal.
% 33.05/33.22 (* end of lemma zenon_L257_ *)
% 33.05/33.22 assert (zenon_L258_ : (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> ((op1 (e12) (e12)) = (e12)) -> ((op2 (e22) (e22)) = (e22)) -> ((h4 (e12)) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> False).
% 33.05/33.22 do 0 intro. intros zenon_H38e zenon_Hdd zenon_H68 zenon_H2fe zenon_H1dd.
% 33.05/33.22 cut (((h4 (e12)) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) = ((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))).
% 33.05/33.22 intro zenon_D_pnotp.
% 33.05/33.22 apply zenon_H38e.
% 33.05/33.22 rewrite <- zenon_D_pnotp.
% 33.05/33.22 exact zenon_H2fe.
% 33.05/33.22 cut (((op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) = (op2 (h4 (e12)) (h4 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H388].
% 33.05/33.22 cut (((h4 (e12)) = (h4 (op1 (e12) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H38f].
% 33.05/33.22 congruence.
% 33.05/33.22 elim (classic ((h4 (op1 (e12) (e12))) = (h4 (op1 (e12) (e12))))); [ zenon_intro zenon_H390 | zenon_intro zenon_H391 ].
% 33.05/33.22 cut (((h4 (op1 (e12) (e12))) = (h4 (op1 (e12) (e12)))) = ((h4 (e12)) = (h4 (op1 (e12) (e12))))).
% 33.05/33.22 intro zenon_D_pnotp.
% 33.05/33.22 apply zenon_H38f.
% 33.05/33.22 rewrite <- zenon_D_pnotp.
% 33.05/33.22 exact zenon_H390.
% 33.05/33.22 cut (((h4 (op1 (e12) (e12))) = (h4 (op1 (e12) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H391].
% 33.05/33.22 cut (((h4 (op1 (e12) (e12))) = (h4 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H392].
% 33.05/33.22 congruence.
% 33.05/33.22 cut (((op1 (e12) (e12)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H19c].
% 33.05/33.22 congruence.
% 33.05/33.22 exact (zenon_H19c zenon_Hdd).
% 33.05/33.22 apply zenon_H391. apply refl_equal.
% 33.05/33.22 apply zenon_H391. apply refl_equal.
% 33.05/33.22 apply (zenon_L257_); trivial.
% 33.05/33.22 (* end of lemma zenon_L258_ *)
% 33.05/33.22 assert (zenon_L259_ : (((~((op1 (e10) (op1 (e10) (e10))) = (op1 (e10) (e10))))/\((~((op1 (e11) (op1 (e10) (e11))) = (op1 (e10) (e11))))/\((~((op1 (e12) (op1 (e10) (e12))) = (op1 (e10) (e12))))/\(~((op1 (e13) (op1 (e10) (e13))) = (op1 (e10) (e13)))))))\/(((~((op1 (e10) (op1 (e11) (e10))) = (op1 (e11) (e10))))/\((~((op1 (e11) (op1 (e11) (e11))) = (op1 (e11) (e11))))/\((~((op1 (e12) (op1 (e11) (e12))) = (op1 (e11) (e12))))/\(~((op1 (e13) (op1 (e11) (e13))) = (op1 (e11) (e13)))))))\/(((~((op1 (e10) (op1 (e12) (e10))) = (op1 (e12) (e10))))/\((~((op1 (e11) (op1 (e12) (e11))) = (op1 (e12) (e11))))/\((~((op1 (e12) (op1 (e12) (e12))) = (op1 (e12) (e12))))/\(~((op1 (e13) (op1 (e12) (e13))) = (op1 (e12) (e13)))))))\/((~((op1 (e10) (op1 (e13) (e10))) = (op1 (e13) (e10))))/\((~((op1 (e11) (op1 (e13) (e11))) = (op1 (e13) (e11))))/\((~((op1 (e12) (op1 (e13) (e12))) = (op1 (e13) (e12))))/\(~((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e13)))))))))) -> ((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11))) -> (~((op1 (e13) (e11)) = (op1 (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) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) -> ((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((h4 (e12)) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((op2 (e22) (e22)) = (e22)) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> False).
% 33.05/33.22 do 0 intro. intros zenon_H1ca zenon_He5 zenon_Hd3 zenon_He8 zenon_Hdf zenon_H2de zenon_H2e3 zenon_H1a0 zenon_H15f zenon_H18a zenon_H186 zenon_H16e zenon_H171 zenon_Hfd zenon_H313 zenon_H311 zenon_H312 zenon_H1bf zenon_H126 zenon_H172 zenon_H2e1 zenon_Hc3 zenon_H140 zenon_H2f4 zenon_H198 zenon_H168 zenon_H2e9 zenon_H30e zenon_Hcd zenon_Hc7 zenon_Hb9 zenon_H179 zenon_Hf9 zenon_H2ef zenon_H19f zenon_Hd7 zenon_He6 zenon_H2f7 zenon_He9 zenon_H195 zenon_H19e zenon_He4 zenon_Ha7 zenon_Ha1 zenon_H9a zenon_H90 zenon_H93 zenon_H92 zenon_Hac zenon_Hb1 zenon_H1dd zenon_H2fe zenon_H68 zenon_H38e.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfc | zenon_intro zenon_H1cc ].
% 33.05/33.22 apply (zenon_L46_); trivial.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1cd ].
% 33.05/33.22 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_H1d0. zenon_intro zenon_H1cf.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H104 | zenon_intro zenon_H103 ].
% 33.05/33.22 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_Hea | zenon_intro zenon_H94 ].
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H313); [ zenon_intro zenon_H2e2 | zenon_intro zenon_H131 ].
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H18b | zenon_intro zenon_H14c ].
% 33.05/33.22 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Had ].
% 33.05/33.22 apply (zenon_L30_); trivial.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H312); [ zenon_intro zenon_H19c | zenon_intro zenon_Hdd ].
% 33.05/33.22 apply (zenon_L165_); trivial.
% 33.05/33.22 apply (zenon_L258_); trivial.
% 33.05/33.22 apply (zenon_L74_); trivial.
% 33.05/33.22 apply (zenon_L173_); trivial.
% 33.05/33.22 apply (zenon_L27_); trivial.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Hae | zenon_intro zenon_H106 ].
% 33.05/33.22 apply (zenon_L32_); trivial.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hdd | zenon_intro zenon_Hfa ].
% 33.05/33.22 apply (zenon_L258_); trivial.
% 33.05/33.22 apply (zenon_L45_); trivial.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H19d | zenon_intro zenon_H1d4 ].
% 33.05/33.22 apply (zenon_L77_); trivial.
% 33.05/33.22 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_H1d6. zenon_intro zenon_H1d5.
% 33.05/33.22 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1d8. zenon_intro zenon_H1d7.
% 33.05/33.22 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1af. zenon_intro zenon_H1d9.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H104 | zenon_intro zenon_H103 ].
% 33.05/33.22 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_Hea | zenon_intro zenon_H94 ].
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H313); [ zenon_intro zenon_H2e2 | zenon_intro zenon_H131 ].
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H18b | zenon_intro zenon_H14c ].
% 33.05/33.22 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Had ].
% 33.05/33.22 apply (zenon_L30_); trivial.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hce | zenon_intro zenon_Hde ].
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H312); [ zenon_intro zenon_H19c | zenon_intro zenon_Hdd ].
% 33.05/33.22 apply (zenon_L184_); trivial.
% 33.05/33.22 apply (zenon_L258_); trivial.
% 33.05/33.22 apply (zenon_L181_); trivial.
% 33.05/33.22 apply (zenon_L74_); trivial.
% 33.05/33.22 apply (zenon_L173_); trivial.
% 33.05/33.22 apply (zenon_L27_); trivial.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Hae | zenon_intro zenon_H106 ].
% 33.05/33.22 apply (zenon_L32_); trivial.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hdd | zenon_intro zenon_Hfa ].
% 33.05/33.22 apply (zenon_L258_); trivial.
% 33.05/33.22 apply (zenon_L186_); trivial.
% 33.05/33.22 (* end of lemma zenon_L259_ *)
% 33.05/33.22 assert (zenon_L260_ : ((~((op2 (e20) (op2 (e20) (e20))) = (op2 (e20) (e20))))/\((~((op2 (e21) (op2 (e20) (e21))) = (op2 (e20) (e21))))/\((~((op2 (e22) (op2 (e20) (e22))) = (op2 (e20) (e22))))/\(~((op2 (e23) (op2 (e20) (e23))) = (op2 (e20) (e23))))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> ((h4 (e12)) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (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)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> ((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))) -> ((e12) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11))) -> (((~((op1 (e10) (op1 (e10) (e10))) = (op1 (e10) (e10))))/\((~((op1 (e11) (op1 (e10) (e11))) = (op1 (e10) (e11))))/\((~((op1 (e12) (op1 (e10) (e12))) = (op1 (e10) (e12))))/\(~((op1 (e13) (op1 (e10) (e13))) = (op1 (e10) (e13)))))))\/(((~((op1 (e10) (op1 (e11) (e10))) = (op1 (e11) (e10))))/\((~((op1 (e11) (op1 (e11) (e11))) = (op1 (e11) (e11))))/\((~((op1 (e12) (op1 (e11) (e12))) = (op1 (e11) (e12))))/\(~((op1 (e13) (op1 (e11) (e13))) = (op1 (e11) (e13)))))))\/(((~((op1 (e10) (op1 (e12) (e10))) = (op1 (e12) (e10))))/\((~((op1 (e11) (op1 (e12) (e11))) = (op1 (e12) (e11))))/\((~((op1 (e12) (op1 (e12) (e12))) = (op1 (e12) (e12))))/\(~((op1 (e13) (op1 (e12) (e13))) = (op1 (e12) (e13)))))))\/((~((op1 (e10) (op1 (e13) (e10))) = (op1 (e13) (e10))))/\((~((op1 (e11) (op1 (e13) (e11))) = (op1 (e13) (e11))))/\((~((op1 (e12) (op1 (e13) (e12))) = (op1 (e13) (e12))))/\(~((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e13)))))))))) -> (~((e21) = (e23))) -> ((e21) = (op2 (e23) (e23))) -> False).
% 33.05/33.22 do 0 intro. intros zenon_H86 zenon_H87 zenon_H2e zenon_H28 zenon_H21 zenon_H1a zenon_H19 zenon_H33 zenon_H38 zenon_H38e zenon_H2fe zenon_H1dd zenon_Hb1 zenon_Hac zenon_H92 zenon_H93 zenon_H90 zenon_H9a zenon_Ha1 zenon_Ha7 zenon_He4 zenon_H19e zenon_H195 zenon_He9 zenon_H2f7 zenon_He6 zenon_Hd7 zenon_H19f zenon_H2ef zenon_Hf9 zenon_H179 zenon_Hb9 zenon_Hc7 zenon_Hcd zenon_H30e zenon_H2e9 zenon_H168 zenon_H198 zenon_H2f4 zenon_H140 zenon_Hc3 zenon_H2e1 zenon_H172 zenon_H126 zenon_H1bf zenon_H312 zenon_H311 zenon_H313 zenon_Hfd zenon_H171 zenon_H16e zenon_H186 zenon_H18a zenon_H15f zenon_H1a0 zenon_H2e3 zenon_H2de zenon_Hdf zenon_He8 zenon_Hd3 zenon_He5 zenon_H1ca zenon_H83 zenon_H17.
% 33.05/33.22 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H13. zenon_intro zenon_H88.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H14 | zenon_intro zenon_H8c ].
% 33.05/33.22 apply (zenon_L2_); trivial.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H35 | zenon_intro zenon_H8d ].
% 33.05/33.22 apply (zenon_L9_); trivial.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H68 | zenon_intro zenon_H84 ].
% 33.05/33.22 apply (zenon_L259_); trivial.
% 33.05/33.22 apply (zenon_L23_); trivial.
% 33.05/33.22 (* end of lemma zenon_L260_ *)
% 33.05/33.22 assert (zenon_L261_ : (((~((op2 (e20) (op2 (e20) (e20))) = (op2 (e20) (e20))))/\((~((op2 (e21) (op2 (e20) (e21))) = (op2 (e20) (e21))))/\((~((op2 (e22) (op2 (e20) (e22))) = (op2 (e20) (e22))))/\(~((op2 (e23) (op2 (e20) (e23))) = (op2 (e20) (e23)))))))\/(((~((op2 (e20) (op2 (e21) (e20))) = (op2 (e21) (e20))))/\((~((op2 (e21) (op2 (e21) (e21))) = (op2 (e21) (e21))))/\((~((op2 (e22) (op2 (e21) (e22))) = (op2 (e21) (e22))))/\(~((op2 (e23) (op2 (e21) (e23))) = (op2 (e21) (e23)))))))\/(((~((op2 (e20) (op2 (e22) (e20))) = (op2 (e22) (e20))))/\((~((op2 (e21) (op2 (e22) (e21))) = (op2 (e22) (e21))))/\((~((op2 (e22) (op2 (e22) (e22))) = (op2 (e22) (e22))))/\(~((op2 (e23) (op2 (e22) (e23))) = (op2 (e22) (e23)))))))\/((~((op2 (e20) (op2 (e23) (e20))) = (op2 (e23) (e20))))/\((~((op2 (e21) (op2 (e23) (e21))) = (op2 (e23) (e21))))/\((~((op2 (e22) (op2 (e23) (e22))) = (op2 (e23) (e22))))/\(~((op2 (e23) (op2 (e23) (e23))) = (op2 (e23) (e23)))))))))) -> ((~((op2 (e20) (e20)) = (e21)))\/((op2 (e20) (e21)) = (e20))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22))) -> ((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22))) -> ((~((op2 (e21) (e21)) = (e21)))\/((op2 (e21) (e21)) = (e21))) -> (~((e21) = (e23))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((~((op2 (e23) (e23)) = (e21)))\/((op2 (e23) (e21)) = (e23))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> ((~((op2 (e20) (e20)) = (e22)))\/((op2 (e20) (e22)) = (e20))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((e21) = (op2 (e23) (e23))) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> ((h4 (e12)) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (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)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> ((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))) -> ((e12) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11))) -> (((~((op1 (e10) (op1 (e10) (e10))) = (op1 (e10) (e10))))/\((~((op1 (e11) (op1 (e10) (e11))) = (op1 (e10) (e11))))/\((~((op1 (e12) (op1 (e10) (e12))) = (op1 (e10) (e12))))/\(~((op1 (e13) (op1 (e10) (e13))) = (op1 (e10) (e13)))))))\/(((~((op1 (e10) (op1 (e11) (e10))) = (op1 (e11) (e10))))/\((~((op1 (e11) (op1 (e11) (e11))) = (op1 (e11) (e11))))/\((~((op1 (e12) (op1 (e11) (e12))) = (op1 (e11) (e12))))/\(~((op1 (e13) (op1 (e11) (e13))) = (op1 (e11) (e13)))))))\/(((~((op1 (e10) (op1 (e12) (e10))) = (op1 (e12) (e10))))/\((~((op1 (e11) (op1 (e12) (e11))) = (op1 (e12) (e11))))/\((~((op1 (e12) (op1 (e12) (e12))) = (op1 (e12) (e12))))/\(~((op1 (e13) (op1 (e12) (e13))) = (op1 (e12) (e13)))))))\/((~((op1 (e10) (op1 (e13) (e10))) = (op1 (e13) (e10))))/\((~((op1 (e11) (op1 (e13) (e11))) = (op1 (e13) (e11))))/\((~((op1 (e12) (op1 (e13) (e12))) = (op1 (e13) (e12))))/\(~((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e13)))))))))) -> False).
% 33.05/33.22 do 0 intro. intros zenon_H2a4 zenon_H6f zenon_H71 zenon_H54 zenon_H4e zenon_H5a zenon_H2b8 zenon_H5e zenon_H73 zenon_H2d0 zenon_H2d1 zenon_H247 zenon_H70 zenon_H83 zenon_H248 zenon_H240 zenon_H24b zenon_H62 zenon_H25f zenon_H234 zenon_H251 zenon_H20b zenon_H268 zenon_H40 zenon_H274 zenon_H27a zenon_H87 zenon_H31f zenon_H1e7 zenon_H239 zenon_H211 zenon_H4a zenon_H1e3 zenon_H2cd zenon_H209 zenon_H23a zenon_H2be zenon_H210 zenon_H2c5 zenon_H2c9 zenon_H277 zenon_H279 zenon_H2e zenon_H28 zenon_H21 zenon_H17 zenon_H1a zenon_H19 zenon_H33 zenon_H38 zenon_H38e zenon_H2fe zenon_H1dd zenon_Hb1 zenon_Hac zenon_H92 zenon_H93 zenon_H90 zenon_H9a zenon_Ha1 zenon_Ha7 zenon_He4 zenon_H19e zenon_H195 zenon_He9 zenon_H2f7 zenon_He6 zenon_Hd7 zenon_H19f zenon_H2ef zenon_Hf9 zenon_H179 zenon_Hb9 zenon_Hc7 zenon_Hcd zenon_H30e zenon_H2e9 zenon_H168 zenon_H198 zenon_H2f4 zenon_H140 zenon_Hc3 zenon_H2e1 zenon_H172 zenon_H126 zenon_H1bf zenon_H312 zenon_H311 zenon_H313 zenon_Hfd zenon_H171 zenon_H16e zenon_H186 zenon_H18a zenon_H15f zenon_H1a0 zenon_H2e3 zenon_H2de zenon_Hdf zenon_He8 zenon_Hd3 zenon_He5 zenon_H1ca.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H2a4); [ zenon_intro zenon_H86 | zenon_intro zenon_H2a6 ].
% 33.05/33.22 apply (zenon_L260_); trivial.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H2a6); [ zenon_intro zenon_H2a8 | zenon_intro zenon_H2a7 ].
% 33.05/33.22 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H2aa. zenon_intro zenon_H2a9.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H14 | zenon_intro zenon_H8c ].
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H6f); [ zenon_intro zenon_H75 | zenon_intro zenon_H1b ].
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H1fe ].
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H2f | zenon_intro zenon_H34 ].
% 33.05/33.22 apply (zenon_L7_); trivial.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H70); [ zenon_intro zenon_H76 | zenon_intro zenon_H35 ].
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H20c | zenon_intro zenon_H241 ].
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H1fa | zenon_intro zenon_H1e8 ].
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H31f); [ zenon_intro zenon_H27e | zenon_intro zenon_H68 ].
% 33.05/33.22 apply (zenon_L153_); trivial.
% 33.05/33.22 apply (zenon_L259_); trivial.
% 33.05/33.22 apply (zenon_L91_); trivial.
% 33.05/33.22 apply (zenon_L111_); trivial.
% 33.05/33.22 apply (zenon_L8_); trivial.
% 33.05/33.22 apply (zenon_L124_); trivial.
% 33.05/33.22 apply (zenon_L4_); trivial.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H35 | zenon_intro zenon_H8d ].
% 33.05/33.22 apply (zenon_L9_); trivial.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H68 | zenon_intro zenon_H84 ].
% 33.05/33.22 apply (zenon_L259_); trivial.
% 33.05/33.22 apply (zenon_L23_); trivial.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H2a7); [ zenon_intro zenon_H27f | zenon_intro zenon_H2ae ].
% 33.05/33.22 apply (zenon_and_s _ _ zenon_H27f). zenon_intro zenon_H26c. zenon_intro zenon_H280.
% 33.05/33.22 apply (zenon_and_s _ _ zenon_H280). zenon_intro zenon_H255. zenon_intro zenon_H281.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H14 | zenon_intro zenon_H8c ].
% 33.05/33.22 apply (zenon_L125_); trivial.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H35 | zenon_intro zenon_H8d ].
% 33.05/33.22 apply (zenon_L9_); trivial.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H68 | zenon_intro zenon_H84 ].
% 33.05/33.22 apply (zenon_L259_); trivial.
% 33.05/33.22 apply (zenon_L23_); trivial.
% 33.05/33.22 apply (zenon_and_s _ _ zenon_H2ae). zenon_intro zenon_H285. zenon_intro zenon_H2af.
% 33.05/33.22 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_H2b1. zenon_intro zenon_H2b0.
% 33.05/33.22 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H293. zenon_intro zenon_H2a3.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H14 | zenon_intro zenon_H8c ].
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H1fe ].
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H31f); [ zenon_intro zenon_H27e | zenon_intro zenon_H68 ].
% 33.05/33.22 apply (zenon_L196_); trivial.
% 33.05/33.22 apply (zenon_L259_); trivial.
% 33.05/33.22 apply (zenon_L124_); trivial.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H35 | zenon_intro zenon_H8d ].
% 33.05/33.22 apply (zenon_L9_); trivial.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H68 | zenon_intro zenon_H84 ].
% 33.05/33.22 apply (zenon_L259_); trivial.
% 33.05/33.22 apply (zenon_L139_); trivial.
% 33.05/33.22 (* end of lemma zenon_L261_ *)
% 33.05/33.22 assert (zenon_L262_ : ((op2 (e22) (e23)) = (e20)) -> ((h4 (e12)) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((h4 (e13)) = (e23)) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> (~((op2 (op2 (e23) (e23)) (op2 (e23) (e23))) = (op2 (h4 (e12)) (h4 (e13))))) -> False).
% 33.05/33.22 do 0 intro. intros zenon_H29c zenon_H2fe zenon_H1dd zenon_H334 zenon_H1a zenon_H393.
% 33.05/33.22 elim (classic ((op2 (h4 (e12)) (h4 (e13))) = (op2 (h4 (e12)) (h4 (e13))))); [ zenon_intro zenon_H394 | zenon_intro zenon_H395 ].
% 33.05/33.22 cut (((op2 (h4 (e12)) (h4 (e13))) = (op2 (h4 (e12)) (h4 (e13)))) = ((op2 (op2 (e23) (e23)) (op2 (e23) (e23))) = (op2 (h4 (e12)) (h4 (e13))))).
% 33.05/33.22 intro zenon_D_pnotp.
% 33.05/33.22 apply zenon_H393.
% 33.05/33.22 rewrite <- zenon_D_pnotp.
% 33.05/33.22 exact zenon_H394.
% 33.05/33.22 cut (((op2 (h4 (e12)) (h4 (e13))) = (op2 (h4 (e12)) (h4 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H395].
% 33.05/33.22 cut (((op2 (h4 (e12)) (h4 (e13))) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H396].
% 33.05/33.22 congruence.
% 33.05/33.22 cut (((op2 (e22) (e23)) = (e20)) = ((op2 (h4 (e12)) (h4 (e13))) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))).
% 33.05/33.22 intro zenon_D_pnotp.
% 33.05/33.22 apply zenon_H396.
% 33.05/33.22 rewrite <- zenon_D_pnotp.
% 33.05/33.22 exact zenon_H29c.
% 33.05/33.22 cut (((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H114].
% 33.05/33.22 cut (((op2 (e22) (e23)) = (op2 (h4 (e12)) (h4 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H397].
% 33.05/33.22 congruence.
% 33.05/33.22 elim (classic ((op2 (h4 (e12)) (h4 (e13))) = (op2 (h4 (e12)) (h4 (e13))))); [ zenon_intro zenon_H394 | zenon_intro zenon_H395 ].
% 33.05/33.22 cut (((op2 (h4 (e12)) (h4 (e13))) = (op2 (h4 (e12)) (h4 (e13)))) = ((op2 (e22) (e23)) = (op2 (h4 (e12)) (h4 (e13))))).
% 33.05/33.22 intro zenon_D_pnotp.
% 33.05/33.22 apply zenon_H397.
% 33.05/33.22 rewrite <- zenon_D_pnotp.
% 33.05/33.22 exact zenon_H394.
% 33.05/33.22 cut (((op2 (h4 (e12)) (h4 (e13))) = (op2 (h4 (e12)) (h4 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H395].
% 33.05/33.22 cut (((op2 (h4 (e12)) (h4 (e13))) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H398].
% 33.05/33.22 congruence.
% 33.05/33.22 cut (((h4 (e13)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H340].
% 33.05/33.22 cut (((h4 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H325].
% 33.05/33.22 congruence.
% 33.05/33.22 apply (zenon_L202_); trivial.
% 33.05/33.22 exact (zenon_H340 zenon_H334).
% 33.05/33.22 apply zenon_H395. apply refl_equal.
% 33.05/33.22 apply zenon_H395. apply refl_equal.
% 33.05/33.22 exact (zenon_H114 zenon_H1a).
% 33.05/33.22 apply zenon_H395. apply refl_equal.
% 33.05/33.22 apply zenon_H395. apply refl_equal.
% 33.05/33.22 (* end of lemma zenon_L262_ *)
% 33.05/33.22 assert (zenon_L263_ : (~((h4 (op1 (e12) (e13))) = (op2 (h4 (e12)) (h4 (e13))))) -> ((h4 (e10)) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((op1 (e12) (e13)) = (e10)) -> ((op2 (e22) (e23)) = (e20)) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((h4 (e12)) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((h4 (e13)) = (e23)) -> False).
% 33.05/33.22 do 0 intro. intros zenon_H399 zenon_H108 zenon_H39a zenon_H29c zenon_H1a zenon_H2fe zenon_H1dd zenon_H334.
% 33.05/33.22 cut (((h4 (e10)) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) = ((h4 (op1 (e12) (e13))) = (op2 (h4 (e12)) (h4 (e13))))).
% 33.05/33.22 intro zenon_D_pnotp.
% 33.05/33.22 apply zenon_H399.
% 33.05/33.22 rewrite <- zenon_D_pnotp.
% 33.05/33.22 exact zenon_H108.
% 33.05/33.22 cut (((op2 (op2 (e23) (e23)) (op2 (e23) (e23))) = (op2 (h4 (e12)) (h4 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H393].
% 33.05/33.22 cut (((h4 (e10)) = (h4 (op1 (e12) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H39b].
% 33.05/33.22 congruence.
% 33.05/33.22 elim (classic ((h4 (op1 (e12) (e13))) = (h4 (op1 (e12) (e13))))); [ zenon_intro zenon_H39c | zenon_intro zenon_H39d ].
% 33.05/33.22 cut (((h4 (op1 (e12) (e13))) = (h4 (op1 (e12) (e13)))) = ((h4 (e10)) = (h4 (op1 (e12) (e13))))).
% 33.05/33.22 intro zenon_D_pnotp.
% 33.05/33.22 apply zenon_H39b.
% 33.05/33.22 rewrite <- zenon_D_pnotp.
% 33.05/33.22 exact zenon_H39c.
% 33.05/33.22 cut (((h4 (op1 (e12) (e13))) = (h4 (op1 (e12) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H39d].
% 33.05/33.22 cut (((h4 (op1 (e12) (e13))) = (h4 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H39e].
% 33.05/33.22 congruence.
% 33.05/33.22 cut (((op1 (e12) (e13)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H39f].
% 33.05/33.22 congruence.
% 33.05/33.22 exact (zenon_H39f zenon_H39a).
% 33.05/33.22 apply zenon_H39d. apply refl_equal.
% 33.05/33.22 apply zenon_H39d. apply refl_equal.
% 33.05/33.22 apply (zenon_L262_); trivial.
% 33.05/33.22 (* end of lemma zenon_L263_ *)
% 33.05/33.22 assert (zenon_L264_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> ((h4 (e13)) = (e23)) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((h4 (e12)) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((op2 (e22) (e23)) = (e20)) -> ((h4 (e10)) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> (~((h4 (op1 (e12) (e13))) = (op2 (h4 (e12)) (h4 (e13))))) -> (~((op1 (e13) (e13)) = (e10))) -> False).
% 33.05/33.22 do 0 intro. intros zenon_H3a0 zenon_H104 zenon_H195 zenon_H2e9 zenon_H90 zenon_H93 zenon_H334 zenon_H1dd zenon_H2fe zenon_H1a zenon_H29c zenon_H108 zenon_H399 zenon_H3a1.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H3a0); [ zenon_intro zenon_H14c | zenon_intro zenon_H3a2 ].
% 33.05/33.22 apply (zenon_L74_); trivial.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H3a2); [ zenon_intro zenon_H2e8 | zenon_intro zenon_H3a3 ].
% 33.05/33.22 apply (zenon_L160_); trivial.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H3a3); [ zenon_intro zenon_H39a | zenon_intro zenon_H3a4 ].
% 33.05/33.22 apply (zenon_L263_); trivial.
% 33.05/33.22 exact (zenon_H3a1 zenon_H3a4).
% 33.05/33.22 (* end of lemma zenon_L264_ *)
% 33.05/33.22 assert (zenon_L265_ : ((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((h4 (e12)) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((h4 (e13)) = (e23)) -> ((h4 (e10)) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> (~((h4 (op1 (e12) (e13))) = (op2 (h4 (e12)) (h4 (e13))))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op2 (e23) (e23)) = (e20))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> False).
% 33.05/33.22 do 0 intro. intros zenon_H3a5 zenon_H186 zenon_H172 zenon_H24b zenon_H14 zenon_H2be zenon_H1a zenon_H17 zenon_H3a0 zenon_H2fe zenon_H1dd zenon_H334 zenon_H108 zenon_H399 zenon_H90 zenon_H93 zenon_H2e9 zenon_H104 zenon_H195 zenon_H202 zenon_H3a6.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H3a5); [ zenon_intro zenon_H3a1 | zenon_intro zenon_H187 ].
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H3a6); [ zenon_intro zenon_H21a | zenon_intro zenon_H3a7 ].
% 33.05/33.22 apply (zenon_L113_); trivial.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H3a7); [ zenon_intro zenon_H2bd | zenon_intro zenon_H3a8 ].
% 33.05/33.22 apply (zenon_L145_); trivial.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H3a8); [ zenon_intro zenon_H29c | zenon_intro zenon_H205 ].
% 33.05/33.22 apply (zenon_L264_); trivial.
% 33.05/33.22 exact (zenon_H202 zenon_H205).
% 33.05/33.22 apply (zenon_L71_); trivial.
% 33.05/33.22 (* end of lemma zenon_L265_ *)
% 33.05/33.22 assert (zenon_L266_ : (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((h4 (e13)) = (e23)) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((h4 (e12)) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((op2 (e22) (e23)) = (e20)) -> ((h4 (e10)) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> (~((h4 (op1 (e12) (e13))) = (op2 (h4 (e12)) (h4 (e13))))) -> (~((op1 (e12) (e12)) = (e10))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> ((op1 (e13) (e11)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (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 (e11) (e12)))) -> (~((op1 (e12) (op1 (e13) (e12))) = (op1 (e13) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> False).
% 33.05/33.22 do 0 intro. intros zenon_Ha7 zenon_H92 zenon_H334 zenon_H1dd zenon_H2fe zenon_H1a zenon_H29c zenon_H108 zenon_H399 zenon_H1b7 zenon_H1b6 zenon_H12d zenon_H12c zenon_H126 zenon_H128 zenon_H11d zenon_H132 zenon_H130 zenon_H1a9 zenon_H1af zenon_H3a9 zenon_H9a zenon_H93 zenon_H90 zenon_Ha1.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H94 | zenon_intro zenon_Ha9 ].
% 33.05/33.22 apply (zenon_L27_); trivial.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_Hab | zenon_intro zenon_Haa ].
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H3a9); [ zenon_intro zenon_H1b0 | zenon_intro zenon_H3aa ].
% 33.05/33.22 apply (zenon_L80_); trivial.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H3aa); [ zenon_intro zenon_H99 | zenon_intro zenon_H3ab ].
% 33.05/33.22 apply (zenon_L28_); trivial.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H3ab); [ zenon_intro zenon_H1ba | zenon_intro zenon_H39a ].
% 33.05/33.22 exact (zenon_H1b7 zenon_H1ba).
% 33.05/33.22 apply (zenon_L263_); trivial.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H99 | zenon_intro zenon_Ha0 ].
% 33.05/33.22 apply (zenon_L28_); trivial.
% 33.05/33.22 apply (zenon_L29_); trivial.
% 33.05/33.22 (* end of lemma zenon_L266_ *)
% 33.05/33.22 assert (zenon_L267_ : ((~((op2 (e23) (e23)) = (e20)))\/((op2 (e23) (e20)) = (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((~((op2 (e23) (e23)) = (e21)))\/((op2 (e23) (e21)) = (e23))) -> ((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((h4 (e12)) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((h4 (e13)) = (e23)) -> ((h4 (e10)) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> (~((h4 (op1 (e12) (e13))) = (op2 (h4 (e12)) (h4 (e13))))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> ((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> ((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (((~((op1 (e10) (op1 (e10) (e10))) = (op1 (e10) (e10))))/\((~((op1 (e11) (op1 (e10) (e11))) = (op1 (e10) (e11))))/\((~((op1 (e12) (op1 (e10) (e12))) = (op1 (e10) (e12))))/\(~((op1 (e13) (op1 (e10) (e13))) = (op1 (e10) (e13)))))))\/(((~((op1 (e10) (op1 (e11) (e10))) = (op1 (e11) (e10))))/\((~((op1 (e11) (op1 (e11) (e11))) = (op1 (e11) (e11))))/\((~((op1 (e12) (op1 (e11) (e12))) = (op1 (e11) (e12))))/\(~((op1 (e13) (op1 (e11) (e13))) = (op1 (e11) (e13)))))))\/(((~((op1 (e10) (op1 (e12) (e10))) = (op1 (e12) (e10))))/\((~((op1 (e11) (op1 (e12) (e11))) = (op1 (e12) (e11))))/\((~((op1 (e12) (op1 (e12) (e12))) = (op1 (e12) (e12))))/\(~((op1 (e13) (op1 (e12) (e13))) = (op1 (e12) (e13)))))))\/((~((op1 (e10) (op1 (e13) (e10))) = (op1 (e13) (e10))))/\((~((op1 (e11) (op1 (e13) (e11))) = (op1 (e13) (e11))))/\((~((op1 (e12) (op1 (e13) (e12))) = (op1 (e13) (e12))))/\(~((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e13)))))))))) -> False).
% 33.05/33.22 do 0 intro. intros zenon_H244 zenon_H234 zenon_H239 zenon_H3a5 zenon_H186 zenon_H172 zenon_H24b zenon_H14 zenon_H2be zenon_H1a zenon_H17 zenon_H3a0 zenon_H2fe zenon_H1dd zenon_H334 zenon_H108 zenon_H399 zenon_H90 zenon_H93 zenon_H2e9 zenon_H195 zenon_H3a6 zenon_Hb1 zenon_Hac zenon_H92 zenon_H9a zenon_Ha1 zenon_Ha7 zenon_He4 zenon_He5 zenon_He6 zenon_Hd7 zenon_Hd3 zenon_He8 zenon_Hb9 zenon_Hc3 zenon_Hc7 zenon_Hcd zenon_Hdf zenon_He9 zenon_Hf9 zenon_Hfd zenon_H1cb zenon_H175 zenon_H168 zenon_H174 zenon_H139 zenon_H132 zenon_H11d zenon_H128 zenon_H126 zenon_H12c zenon_H130 zenon_H15f zenon_H161 zenon_H153 zenon_H14e zenon_H160 zenon_H145 zenon_H140 zenon_H173 zenon_H16e zenon_H171 zenon_H1b6 zenon_H1a9 zenon_H3a9 zenon_H1bf zenon_H1c3 zenon_H1ca.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H202 | zenon_intro zenon_H235 ].
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfc | zenon_intro zenon_H1cc ].
% 33.05/33.22 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hff. zenon_intro zenon_Hfe.
% 33.05/33.22 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_H101. zenon_intro zenon_H100.
% 33.05/33.22 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_He7. zenon_intro zenon_H102.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H104 | zenon_intro zenon_H103 ].
% 33.05/33.22 apply (zenon_L265_); trivial.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Hae | zenon_intro zenon_H106 ].
% 33.05/33.22 apply (zenon_L32_); trivial.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hdd | zenon_intro zenon_Hfa ].
% 33.05/33.22 apply (zenon_L43_); trivial.
% 33.05/33.22 apply (zenon_L45_); trivial.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1cd ].
% 33.05/33.22 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_H1d0. zenon_intro zenon_H1cf.
% 33.05/33.22 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1d2. zenon_intro zenon_H1d1.
% 33.05/33.22 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H156. zenon_intro zenon_H1d3.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H104 | zenon_intro zenon_H103 ].
% 33.05/33.22 apply (zenon_L265_); trivial.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Hae | zenon_intro zenon_H106 ].
% 33.05/33.22 apply (zenon_L32_); trivial.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hdd | zenon_intro zenon_Hfa ].
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H105 | zenon_intro zenon_H104 ].
% 33.05/33.22 apply (zenon_L66_); trivial.
% 33.05/33.22 apply (zenon_L265_); trivial.
% 33.05/33.22 apply (zenon_L45_); trivial.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H19d | zenon_intro zenon_H1d4 ].
% 33.05/33.22 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H17e. zenon_intro zenon_H1a1.
% 33.05/33.22 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H18f. zenon_intro zenon_H1a2.
% 33.05/33.22 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H19b. zenon_intro zenon_H1a3.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H104 | zenon_intro zenon_H103 ].
% 33.05/33.22 apply (zenon_L265_); trivial.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Hae | zenon_intro zenon_H106 ].
% 33.05/33.22 apply (zenon_L32_); trivial.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hdd | zenon_intro zenon_Hfa ].
% 33.05/33.22 apply (zenon_L76_); trivial.
% 33.05/33.22 apply (zenon_L45_); trivial.
% 33.05/33.22 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_H1d6. zenon_intro zenon_H1d5.
% 33.05/33.22 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1d8. zenon_intro zenon_H1d7.
% 33.05/33.22 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1af. zenon_intro zenon_H1d9.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c0 ].
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H91 | zenon_intro zenon_H12d ].
% 33.05/33.22 apply zenon_H91. apply sym_equal. exact zenon_H90.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H3a6); [ zenon_intro zenon_H21a | zenon_intro zenon_H3a7 ].
% 33.05/33.22 apply (zenon_L113_); trivial.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H3a7); [ zenon_intro zenon_H2bd | zenon_intro zenon_H3a8 ].
% 33.05/33.22 apply (zenon_L145_); trivial.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H3a8); [ zenon_intro zenon_H29c | zenon_intro zenon_H205 ].
% 33.05/33.22 apply (zenon_L266_); trivial.
% 33.05/33.22 exact (zenon_H202 zenon_H205).
% 33.05/33.22 apply (zenon_L84_); trivial.
% 33.05/33.22 apply (zenon_L109_); trivial.
% 33.05/33.22 (* end of lemma zenon_L267_ *)
% 33.05/33.22 assert (zenon_L268_ : ((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))) -> (~((op2 (e20) (e20)) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((h4 (op1 (e12) (e13))) = (op2 (h4 (e12)) (h4 (e13))))) -> ((h4 (e10)) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((h4 (e13)) = (e23)) -> ((h4 (e12)) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e23)) = (e20))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (op2 (e23) (e20))) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e22)) = (e20))) -> (~((op2 (e22) (op2 (e23) (e22))) = (op2 (e23) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e22)) = (e20))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> False).
% 33.05/33.22 do 0 intro. intros zenon_H3a5 zenon_H186 zenon_H172 zenon_H1e2 zenon_H1e3 zenon_H1dd zenon_H1a zenon_H1e7 zenon_H29f zenon_H195 zenon_H104 zenon_H2e9 zenon_H93 zenon_H90 zenon_H399 zenon_H108 zenon_H334 zenon_H2fe zenon_H3a0 zenon_H21 zenon_H201 zenon_H202 zenon_H1fd zenon_H17 zenon_H28 zenon_H285 zenon_H28b zenon_H1fa zenon_H293 zenon_H297 zenon_H211.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H3a5); [ zenon_intro zenon_H3a1 | zenon_intro zenon_H187 ].
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H1de | zenon_intro zenon_H214 ].
% 33.05/33.22 exact (zenon_H1e2 zenon_H1de).
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H215 ].
% 33.05/33.22 apply (zenon_L90_); trivial.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H1f7 ].
% 33.05/33.22 apply (zenon_L91_); trivial.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H267 | zenon_intro zenon_H2a0 ].
% 33.05/33.22 apply (zenon_L134_); trivial.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H20 | zenon_intro zenon_H2a1 ].
% 33.05/33.22 apply (zenon_L5_); trivial.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H29a | zenon_intro zenon_H29c ].
% 33.05/33.22 exact (zenon_H1fa zenon_H29a).
% 33.05/33.22 apply (zenon_L264_); trivial.
% 33.05/33.22 apply (zenon_L71_); trivial.
% 33.05/33.22 (* end of lemma zenon_L268_ *)
% 33.05/33.22 assert (zenon_L269_ : (((~((op2 (e20) (op2 (e20) (e20))) = (op2 (e20) (e20))))/\((~((op2 (e21) (op2 (e20) (e21))) = (op2 (e20) (e21))))/\((~((op2 (e22) (op2 (e20) (e22))) = (op2 (e20) (e22))))/\(~((op2 (e23) (op2 (e20) (e23))) = (op2 (e20) (e23)))))))\/(((~((op2 (e20) (op2 (e21) (e20))) = (op2 (e21) (e20))))/\((~((op2 (e21) (op2 (e21) (e21))) = (op2 (e21) (e21))))/\((~((op2 (e22) (op2 (e21) (e22))) = (op2 (e21) (e22))))/\(~((op2 (e23) (op2 (e21) (e23))) = (op2 (e21) (e23)))))))\/(((~((op2 (e20) (op2 (e22) (e20))) = (op2 (e22) (e20))))/\((~((op2 (e21) (op2 (e22) (e21))) = (op2 (e22) (e21))))/\((~((op2 (e22) (op2 (e22) (e22))) = (op2 (e22) (e22))))/\(~((op2 (e23) (op2 (e22) (e23))) = (op2 (e22) (e23)))))))\/((~((op2 (e20) (op2 (e23) (e20))) = (op2 (e23) (e20))))/\((~((op2 (e21) (op2 (e23) (e21))) = (op2 (e23) (e21))))/\((~((op2 (e22) (op2 (e23) (e22))) = (op2 (e23) (e22))))/\(~((op2 (e23) (op2 (e23) (e23))) = (op2 (e23) (e23)))))))))) -> ((~((op2 (e20) (e20)) = (e21)))\/((op2 (e20) (e21)) = (e20))) -> ((~((op2 (e21) (e21)) = (e21)))\/((op2 (e21) (e21)) = (e21))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((~((op2 (e22) (e22)) = (e21)))\/((op2 (e22) (e21)) = (e22))) -> ((~((op2 (e20) (e20)) = (e20)))\/((op2 (e20) (e20)) = (e20))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((~((op2 (e23) (e23)) = (e23)))\/((op2 (e23) (e23)) = (e23))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e22) = (e23))) -> (~((e20) = (e23))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((~((op2 (e21) (e21)) = (e23)))\/((op2 (e21) (e23)) = (e21))) -> (~((e21) = (e23))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> ((~((op2 (e20) (e20)) = (e22)))\/((op2 (e20) (e22)) = (e20))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((~((op2 (e23) (e23)) = (e20)))\/((op2 (e23) (e20)) = (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((~((op2 (e23) (e23)) = (e21)))\/((op2 (e23) (e21)) = (e23))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> ((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((h4 (op1 (e12) (e13))) = (op2 (h4 (e12)) (h4 (e13))))) -> ((h4 (e10)) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((h4 (e13)) = (e23)) -> ((h4 (e12)) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e22)) = (e20))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> ((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((~((op1 (e10) (op1 (e10) (e10))) = (op1 (e10) (e10))))/\((~((op1 (e11) (op1 (e10) (e11))) = (op1 (e10) (e11))))/\((~((op1 (e12) (op1 (e10) (e12))) = (op1 (e10) (e12))))/\(~((op1 (e13) (op1 (e10) (e13))) = (op1 (e10) (e13)))))))\/(((~((op1 (e10) (op1 (e11) (e10))) = (op1 (e11) (e10))))/\((~((op1 (e11) (op1 (e11) (e11))) = (op1 (e11) (e11))))/\((~((op1 (e12) (op1 (e11) (e12))) = (op1 (e11) (e12))))/\(~((op1 (e13) (op1 (e11) (e13))) = (op1 (e11) (e13)))))))\/(((~((op1 (e10) (op1 (e12) (e10))) = (op1 (e12) (e10))))/\((~((op1 (e11) (op1 (e12) (e11))) = (op1 (e12) (e11))))/\((~((op1 (e12) (op1 (e12) (e12))) = (op1 (e12) (e12))))/\(~((op1 (e13) (op1 (e12) (e13))) = (op1 (e12) (e13)))))))\/((~((op1 (e10) (op1 (e13) (e10))) = (op1 (e13) (e10))))/\((~((op1 (e11) (op1 (e13) (e11))) = (op1 (e13) (e11))))/\((~((op1 (e12) (op1 (e13) (e12))) = (op1 (e13) (e12))))/\(~((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e13)))))))))) -> ((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22))) -> False).
% 33.05/33.22 do 0 intro. intros zenon_H2a4 zenon_H6f zenon_H70 zenon_H71 zenon_H62 zenon_H5e zenon_H73 zenon_H40 zenon_H4a zenon_H4e zenon_H54 zenon_H6a zenon_H74 zenon_H2a5 zenon_H248 zenon_H240 zenon_H246 zenon_H210 zenon_H209 zenon_H5a zenon_H20b zenon_H1ec zenon_H22e zenon_H220 zenon_H21c zenon_H22c zenon_H245 zenon_H23a zenon_H243 zenon_H83 zenon_H38 zenon_H33 zenon_H19 zenon_H2e zenon_H24b zenon_H2be zenon_H3a6 zenon_H3a9 zenon_H87 zenon_H279 zenon_H1dc zenon_H244 zenon_H234 zenon_H239 zenon_Hb1 zenon_Hac zenon_H92 zenon_H93 zenon_H90 zenon_H9a zenon_Ha1 zenon_Ha7 zenon_He4 zenon_He5 zenon_He6 zenon_Hd7 zenon_Hd3 zenon_He8 zenon_Hb9 zenon_Hc3 zenon_Hc7 zenon_Hcd zenon_Hdf zenon_He9 zenon_Hf9 zenon_Hfd zenon_H3a5 zenon_H186 zenon_H172 zenon_H1e3 zenon_H1dd zenon_H1a zenon_H1e7 zenon_H29f zenon_H195 zenon_H2e9 zenon_H399 zenon_H108 zenon_H334 zenon_H2fe zenon_H3a0 zenon_H21 zenon_H201 zenon_H1fd zenon_H17 zenon_H28 zenon_H28b zenon_H297 zenon_H211 zenon_H1cb zenon_H175 zenon_H168 zenon_H174 zenon_H139 zenon_H132 zenon_H11d zenon_H128 zenon_H126 zenon_H12c zenon_H130 zenon_H15f zenon_H161 zenon_H153 zenon_H14e zenon_H160 zenon_H145 zenon_H140 zenon_H173 zenon_H16e zenon_H171 zenon_H1a0 zenon_H198 zenon_H179 zenon_H18a zenon_H19f zenon_H19e zenon_H1c3 zenon_H1bf zenon_H1c4 zenon_H1b6 zenon_H1a9 zenon_H1ca zenon_H247.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H2a4); [ zenon_intro zenon_H86 | zenon_intro zenon_H2a6 ].
% 33.05/33.22 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H13. zenon_intro zenon_H88.
% 33.05/33.22 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H8a. zenon_intro zenon_H89.
% 33.05/33.22 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H72. zenon_intro zenon_H8b.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H14 | zenon_intro zenon_H8c ].
% 33.05/33.22 apply (zenon_L267_); trivial.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H35 | zenon_intro zenon_H8d ].
% 33.05/33.22 apply (zenon_L9_); trivial.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H68 | zenon_intro zenon_H84 ].
% 33.05/33.22 apply (zenon_L21_); trivial.
% 33.05/33.22 apply (zenon_L23_); trivial.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H2a6); [ zenon_intro zenon_H2a8 | zenon_intro zenon_H2a7 ].
% 33.05/33.22 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H2aa. zenon_intro zenon_H2a9.
% 33.05/33.22 apply (zenon_and_s _ _ zenon_H2a9). zenon_intro zenon_H2ac. zenon_intro zenon_H2ab.
% 33.05/33.22 apply (zenon_and_s _ _ zenon_H2ab). zenon_intro zenon_H223. zenon_intro zenon_H2ad.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H14 | zenon_intro zenon_H8c ].
% 33.05/33.22 apply (zenon_L267_); trivial.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H35 | zenon_intro zenon_H8d ].
% 33.05/33.22 apply (zenon_L9_); trivial.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H68 | zenon_intro zenon_H84 ].
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_H15 | zenon_intro zenon_H14 ].
% 33.05/33.22 apply (zenon_L112_); trivial.
% 33.05/33.22 apply (zenon_L267_); trivial.
% 33.05/33.22 apply (zenon_L23_); trivial.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H2a7); [ zenon_intro zenon_H27f | zenon_intro zenon_H2ae ].
% 33.05/33.22 apply (zenon_and_s _ _ zenon_H27f). zenon_intro zenon_H26c. zenon_intro zenon_H280.
% 33.05/33.22 apply (zenon_and_s _ _ zenon_H280). zenon_intro zenon_H255. zenon_intro zenon_H281.
% 33.05/33.22 apply (zenon_and_s _ _ zenon_H281). zenon_intro zenon_H27d. zenon_intro zenon_H282.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H14 | zenon_intro zenon_H8c ].
% 33.05/33.22 apply (zenon_L267_); trivial.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H35 | zenon_intro zenon_H8d ].
% 33.05/33.22 apply (zenon_L9_); trivial.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H68 | zenon_intro zenon_H84 ].
% 33.05/33.22 apply (zenon_L126_); trivial.
% 33.05/33.22 apply (zenon_L23_); trivial.
% 33.05/33.22 apply (zenon_and_s _ _ zenon_H2ae). zenon_intro zenon_H285. zenon_intro zenon_H2af.
% 33.05/33.22 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_H2b1. zenon_intro zenon_H2b0.
% 33.05/33.22 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H293. zenon_intro zenon_H2a3.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H1fe ].
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H1fa | zenon_intro zenon_H1e8 ].
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H202 | zenon_intro zenon_H235 ].
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hfc | zenon_intro zenon_H1cc ].
% 33.05/33.22 apply (zenon_L46_); trivial.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1cd ].
% 33.05/33.22 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_H1d0. zenon_intro zenon_H1cf.
% 33.05/33.22 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1d2. zenon_intro zenon_H1d1.
% 33.05/33.22 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H156. zenon_intro zenon_H1d3.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H104 | zenon_intro zenon_H103 ].
% 33.05/33.22 apply (zenon_L268_); trivial.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Hae | zenon_intro zenon_H106 ].
% 33.05/33.22 apply (zenon_L32_); trivial.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hdd | zenon_intro zenon_Hfa ].
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H105 | zenon_intro zenon_H104 ].
% 33.05/33.22 apply (zenon_L66_); trivial.
% 33.05/33.22 apply (zenon_L268_); trivial.
% 33.05/33.22 apply (zenon_L45_); trivial.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H19d | zenon_intro zenon_H1d4 ].
% 33.05/33.22 apply (zenon_L77_); trivial.
% 33.05/33.22 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_H1d6. zenon_intro zenon_H1d5.
% 33.05/33.22 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1d8. zenon_intro zenon_H1d7.
% 33.05/33.22 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1af. zenon_intro zenon_H1d9.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H105 | zenon_intro zenon_H104 ].
% 33.05/33.22 apply (zenon_L85_); trivial.
% 33.05/33.22 apply (zenon_L268_); trivial.
% 33.05/33.22 apply (zenon_L109_); trivial.
% 33.05/33.22 apply (zenon_L91_); trivial.
% 33.05/33.22 apply (zenon_L137_); trivial.
% 33.05/33.22 (* end of lemma zenon_L269_ *)
% 33.05/33.22 assert (zenon_L270_ : (~((h4 (op1 (e13) (e10))) = (op2 (h4 (e13)) (h4 (e10))))) -> ((h4 (e12)) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((op1 (e13) (e10)) = (e12)) -> ((h4 (e10)) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((h4 (e13)) = (e23)) -> False).
% 33.05/33.22 do 0 intro. intros zenon_H3ac zenon_H2fe zenon_H2d7 zenon_H108 zenon_H334.
% 33.05/33.22 cut (((h4 (e12)) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) = ((h4 (op1 (e13) (e10))) = (op2 (h4 (e13)) (h4 (e10))))).
% 33.05/33.22 intro zenon_D_pnotp.
% 33.05/33.22 apply zenon_H3ac.
% 33.05/33.22 rewrite <- zenon_D_pnotp.
% 33.05/33.22 exact zenon_H2fe.
% 33.05/33.22 cut (((op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) = (op2 (h4 (e13)) (h4 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H3ad].
% 33.05/33.22 cut (((h4 (e12)) = (h4 (op1 (e13) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H3ae].
% 33.05/33.22 congruence.
% 33.05/33.22 elim (classic ((h4 (op1 (e13) (e10))) = (h4 (op1 (e13) (e10))))); [ zenon_intro zenon_H3af | zenon_intro zenon_H3b0 ].
% 33.05/33.22 cut (((h4 (op1 (e13) (e10))) = (h4 (op1 (e13) (e10)))) = ((h4 (e12)) = (h4 (op1 (e13) (e10))))).
% 33.05/33.22 intro zenon_D_pnotp.
% 33.05/33.22 apply zenon_H3ae.
% 33.05/33.22 rewrite <- zenon_D_pnotp.
% 33.05/33.22 exact zenon_H3af.
% 33.05/33.22 cut (((h4 (op1 (e13) (e10))) = (h4 (op1 (e13) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H3b0].
% 33.05/33.22 cut (((h4 (op1 (e13) (e10))) = (h4 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3b1].
% 33.05/33.22 congruence.
% 33.05/33.22 cut (((op1 (e13) (e10)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H319].
% 33.05/33.22 congruence.
% 33.05/33.22 exact (zenon_H319 zenon_H2d7).
% 33.05/33.22 apply zenon_H3b0. apply refl_equal.
% 33.05/33.22 apply zenon_H3b0. apply refl_equal.
% 33.05/33.22 cut (((op2 (op2 (e23) (e23)) (op2 (e23) (e23))) = (h4 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H3b2].
% 33.05/33.22 cut (((e23) = (h4 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H3b3].
% 33.05/33.22 congruence.
% 33.05/33.22 apply zenon_H3b3. apply sym_equal. exact zenon_H334.
% 33.05/33.22 apply zenon_H3b2. apply sym_equal. exact zenon_H108.
% 33.05/33.22 (* end of lemma zenon_L270_ *)
% 33.05/33.22 assert (zenon_L271_ : ((e12) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) -> ((op1 (e13) (e11)) = (e12)) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> False).
% 33.05/33.22 do 0 intro. intros zenon_H126 zenon_H3b4 zenon_H93 zenon_H186.
% 33.05/33.22 elim (classic ((op1 (e13) (e11)) = (op1 (e13) (e11)))); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Ha3 ].
% 33.05/33.22 cut (((op1 (e13) (e11)) = (op1 (e13) (e11))) = ((op1 (e13) (e10)) = (op1 (e13) (e11)))).
% 33.05/33.22 intro zenon_D_pnotp.
% 33.05/33.22 apply zenon_H186.
% 33.05/33.22 rewrite <- zenon_D_pnotp.
% 33.05/33.22 exact zenon_Ha2.
% 33.05/33.22 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_Ha3].
% 33.05/33.22 cut (((op1 (e13) (e11)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H3b5].
% 33.05/33.22 congruence.
% 33.05/33.22 cut (((e12) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) = ((op1 (e13) (e11)) = (op1 (e13) (e10)))).
% 33.05/33.22 intro zenon_D_pnotp.
% 33.05/33.22 apply zenon_H3b5.
% 33.05/33.22 rewrite <- zenon_D_pnotp.
% 33.05/33.22 exact zenon_H126.
% 33.05/33.22 cut (((op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H124].
% 33.05/33.22 cut (((e12) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H3b6].
% 33.05/33.22 congruence.
% 33.05/33.22 elim (classic ((op1 (e13) (e11)) = (op1 (e13) (e11)))); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Ha3 ].
% 33.05/33.22 cut (((op1 (e13) (e11)) = (op1 (e13) (e11))) = ((e12) = (op1 (e13) (e11)))).
% 33.05/33.22 intro zenon_D_pnotp.
% 33.05/33.22 apply zenon_H3b6.
% 33.05/33.22 rewrite <- zenon_D_pnotp.
% 33.05/33.22 exact zenon_Ha2.
% 33.05/33.22 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_Ha3].
% 33.05/33.22 cut (((op1 (e13) (e11)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H3b7].
% 33.05/33.22 congruence.
% 33.05/33.22 exact (zenon_H3b7 zenon_H3b4).
% 33.05/33.22 apply zenon_Ha3. apply refl_equal.
% 33.05/33.22 apply zenon_Ha3. apply refl_equal.
% 33.05/33.22 apply (zenon_L52_); trivial.
% 33.05/33.22 apply zenon_Ha3. apply refl_equal.
% 33.05/33.22 apply zenon_Ha3. apply refl_equal.
% 33.05/33.22 (* end of lemma zenon_L271_ *)
% 33.05/33.22 assert (zenon_L272_ : ((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> ((e12) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((h4 (e10)) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((h4 (e13)) = (e23)) -> ((h4 (e12)) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> (~((h4 (op1 (e13) (e10))) = (op2 (h4 (e13)) (h4 (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 33.05/33.22 do 0 intro. intros zenon_H172 zenon_H3b8 zenon_H128 zenon_H93 zenon_H126 zenon_H186 zenon_H108 zenon_H334 zenon_H2fe zenon_H3ac zenon_H12c zenon_H3b9 zenon_H90.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H91 | zenon_intro zenon_H12d ].
% 33.05/33.22 apply zenon_H91. apply sym_equal. exact zenon_H90.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H3b9); [ zenon_intro zenon_H3ba | zenon_intro zenon_H12e ].
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H3b8); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H3bb ].
% 33.05/33.22 apply (zenon_L270_); trivial.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H3bb); [ zenon_intro zenon_H3b4 | zenon_intro zenon_H3bc ].
% 33.05/33.22 apply (zenon_L271_); trivial.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H3bc); [ zenon_intro zenon_H127 | zenon_intro zenon_H3bd ].
% 33.05/33.22 apply (zenon_L53_); trivial.
% 33.05/33.22 exact (zenon_H3ba zenon_H3bd).
% 33.05/33.22 apply (zenon_L54_); trivial.
% 33.05/33.22 (* end of lemma zenon_L272_ *)
% 33.05/33.22 assert (zenon_L273_ : ((h4 (e13)) = (e23)) -> ((op1 (e13) (e11)) = (e13)) -> (~((e23) = (h4 (op1 (e13) (e11))))) -> False).
% 33.05/33.22 do 0 intro. intros zenon_H334 zenon_H12d zenon_H3be.
% 33.05/33.22 elim (classic ((h4 (op1 (e13) (e11))) = (h4 (op1 (e13) (e11))))); [ zenon_intro zenon_H3bf | zenon_intro zenon_H3c0 ].
% 33.05/33.22 cut (((h4 (op1 (e13) (e11))) = (h4 (op1 (e13) (e11)))) = ((e23) = (h4 (op1 (e13) (e11))))).
% 33.05/33.22 intro zenon_D_pnotp.
% 33.05/33.22 apply zenon_H3be.
% 33.05/33.22 rewrite <- zenon_D_pnotp.
% 33.05/33.22 exact zenon_H3bf.
% 33.05/33.22 cut (((h4 (op1 (e13) (e11))) = (h4 (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3c0].
% 33.05/33.22 cut (((h4 (op1 (e13) (e11))) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H3c1].
% 33.05/33.22 congruence.
% 33.05/33.22 cut (((h4 (e13)) = (e23)) = ((h4 (op1 (e13) (e11))) = (e23))).
% 33.05/33.22 intro zenon_D_pnotp.
% 33.05/33.22 apply zenon_H3c1.
% 33.05/33.22 rewrite <- zenon_D_pnotp.
% 33.05/33.22 exact zenon_H334.
% 33.05/33.22 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1da].
% 33.05/33.22 cut (((h4 (e13)) = (h4 (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3c2].
% 33.05/33.22 congruence.
% 33.05/33.22 elim (classic ((h4 (op1 (e13) (e11))) = (h4 (op1 (e13) (e11))))); [ zenon_intro zenon_H3bf | zenon_intro zenon_H3c0 ].
% 33.05/33.22 cut (((h4 (op1 (e13) (e11))) = (h4 (op1 (e13) (e11)))) = ((h4 (e13)) = (h4 (op1 (e13) (e11))))).
% 33.05/33.22 intro zenon_D_pnotp.
% 33.05/33.22 apply zenon_H3c2.
% 33.05/33.22 rewrite <- zenon_D_pnotp.
% 33.05/33.22 exact zenon_H3bf.
% 33.05/33.22 cut (((h4 (op1 (e13) (e11))) = (h4 (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3c0].
% 33.05/33.22 cut (((h4 (op1 (e13) (e11))) = (h4 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H3c3].
% 33.05/33.22 congruence.
% 33.05/33.22 cut (((op1 (e13) (e11)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H31b].
% 33.05/33.22 congruence.
% 33.05/33.22 exact (zenon_H31b zenon_H12d).
% 33.05/33.22 apply zenon_H3c0. apply refl_equal.
% 33.05/33.22 apply zenon_H3c0. apply refl_equal.
% 33.05/33.22 apply zenon_H1da. apply refl_equal.
% 33.05/33.22 apply zenon_H3c0. apply refl_equal.
% 33.05/33.22 apply zenon_H3c0. apply refl_equal.
% 33.05/33.22 (* end of lemma zenon_L273_ *)
% 33.05/33.22 assert (zenon_L274_ : ((~((op2 (e23) (e23)) = (e21)))\/((op2 (e23) (e21)) = (e23))) -> ((e11) = (op1 (e13) (e13))) -> (~((h4 (op1 (e13) (e11))) = (op2 (h4 (e13)) (h4 (e11))))) -> ((h4 (e13)) = (e23)) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))) -> ((e21) = (op2 (e23) (e23))) -> False).
% 33.05/33.22 do 0 intro. intros zenon_H239 zenon_H90 zenon_H3c4 zenon_H334 zenon_H2fb zenon_H172 zenon_H17.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H18 | zenon_intro zenon_H236 ].
% 33.05/33.22 apply zenon_H18. apply sym_equal. exact zenon_H17.
% 33.05/33.22 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H91 | zenon_intro zenon_H12d ].
% 33.05/33.22 apply zenon_H91. apply sym_equal. exact zenon_H90.
% 33.05/33.22 elim (classic ((op2 (h4 (e13)) (h4 (e11))) = (op2 (h4 (e13)) (h4 (e11))))); [ zenon_intro zenon_H3c5 | zenon_intro zenon_H3c6 ].
% 33.05/33.22 cut (((op2 (h4 (e13)) (h4 (e11))) = (op2 (h4 (e13)) (h4 (e11)))) = ((h4 (op1 (e13) (e11))) = (op2 (h4 (e13)) (h4 (e11))))).
% 33.05/33.22 intro zenon_D_pnotp.
% 33.05/33.22 apply zenon_H3c4.
% 33.05/33.22 rewrite <- zenon_D_pnotp.
% 33.05/33.22 exact zenon_H3c5.
% 33.05/33.22 cut (((op2 (h4 (e13)) (h4 (e11))) = (op2 (h4 (e13)) (h4 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3c6].
% 33.05/33.22 cut (((op2 (h4 (e13)) (h4 (e11))) = (h4 (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3c7].
% 33.05/33.22 congruence.
% 33.05/33.22 cut (((op2 (e23) (e21)) = (e23)) = ((op2 (h4 (e13)) (h4 (e11))) = (h4 (op1 (e13) (e11))))).
% 33.05/33.22 intro zenon_D_pnotp.
% 33.05/33.22 apply zenon_H3c7.
% 33.05/33.22 rewrite <- zenon_D_pnotp.
% 33.05/33.22 exact zenon_H236.
% 33.05/33.22 cut (((e23) = (h4 (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3be].
% 33.05/33.22 cut (((op2 (e23) (e21)) = (op2 (h4 (e13)) (h4 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3c8].
% 33.05/33.22 congruence.
% 33.05/33.22 elim (classic ((op2 (h4 (e13)) (h4 (e11))) = (op2 (h4 (e13)) (h4 (e11))))); [ zenon_intro zenon_H3c5 | zenon_intro zenon_H3c6 ].
% 33.05/33.22 cut (((op2 (h4 (e13)) (h4 (e11))) = (op2 (h4 (e13)) (h4 (e11)))) = ((op2 (e23) (e21)) = (op2 (h4 (e13)) (h4 (e11))))).
% 33.05/33.22 intro zenon_D_pnotp.
% 33.05/33.22 apply zenon_H3c8.
% 33.05/33.22 rewrite <- zenon_D_pnotp.
% 33.05/33.22 exact zenon_H3c5.
% 33.05/33.22 cut (((op2 (h4 (e13)) (h4 (e11))) = (op2 (h4 (e13)) (h4 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3c6].
% 33.05/33.23 cut (((op2 (h4 (e13)) (h4 (e11))) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H3c9].
% 33.05/33.23 congruence.
% 33.05/33.23 cut (((h4 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H2fa].
% 33.05/33.23 cut (((h4 (e13)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H340].
% 33.05/33.23 congruence.
% 33.05/33.23 exact (zenon_H340 zenon_H334).
% 33.05/33.23 apply (zenon_L166_); trivial.
% 33.05/33.23 apply zenon_H3c6. apply refl_equal.
% 33.05/33.23 apply zenon_H3c6. apply refl_equal.
% 33.05/33.23 apply (zenon_L273_); trivial.
% 33.05/33.23 apply zenon_H3c6. apply refl_equal.
% 33.05/33.23 apply zenon_H3c6. apply refl_equal.
% 33.05/33.23 (* end of lemma zenon_L274_ *)
% 33.05/33.23 assert (zenon_L275_ : ((h4 (e10)) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((op1 (e13) (e12)) = (e10)) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> (~((e20) = (h4 (op1 (e13) (e12))))) -> False).
% 33.05/33.23 do 0 intro. intros zenon_H108 zenon_H118 zenon_H1a zenon_H3ca.
% 33.05/33.23 elim (classic ((h4 (op1 (e13) (e12))) = (h4 (op1 (e13) (e12))))); [ zenon_intro zenon_H3cb | zenon_intro zenon_H3cc ].
% 33.05/33.23 cut (((h4 (op1 (e13) (e12))) = (h4 (op1 (e13) (e12)))) = ((e20) = (h4 (op1 (e13) (e12))))).
% 33.05/33.23 intro zenon_D_pnotp.
% 33.05/33.23 apply zenon_H3ca.
% 33.05/33.23 rewrite <- zenon_D_pnotp.
% 33.05/33.23 exact zenon_H3cb.
% 33.05/33.23 cut (((h4 (op1 (e13) (e12))) = (h4 (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H3cc].
% 33.05/33.23 cut (((h4 (op1 (e13) (e12))) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H3cd].
% 33.05/33.23 congruence.
% 33.05/33.23 cut (((h4 (e10)) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) = ((h4 (op1 (e13) (e12))) = (e20))).
% 33.05/33.23 intro zenon_D_pnotp.
% 33.05/33.23 apply zenon_H3cd.
% 33.05/33.23 rewrite <- zenon_D_pnotp.
% 33.05/33.23 exact zenon_H108.
% 33.05/33.23 cut (((op2 (op2 (e23) (e23)) (op2 (e23) (e23))) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H109].
% 33.05/33.23 cut (((h4 (e10)) = (h4 (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H3ce].
% 33.05/33.23 congruence.
% 33.05/33.23 elim (classic ((h4 (op1 (e13) (e12))) = (h4 (op1 (e13) (e12))))); [ zenon_intro zenon_H3cb | zenon_intro zenon_H3cc ].
% 33.05/33.23 cut (((h4 (op1 (e13) (e12))) = (h4 (op1 (e13) (e12)))) = ((h4 (e10)) = (h4 (op1 (e13) (e12))))).
% 33.05/33.23 intro zenon_D_pnotp.
% 33.05/33.23 apply zenon_H3ce.
% 33.05/33.23 rewrite <- zenon_D_pnotp.
% 33.05/33.23 exact zenon_H3cb.
% 33.05/33.23 cut (((h4 (op1 (e13) (e12))) = (h4 (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H3cc].
% 33.05/33.23 cut (((h4 (op1 (e13) (e12))) = (h4 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H3cf].
% 33.05/33.23 congruence.
% 33.05/33.23 cut (((op1 (e13) (e12)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H1b5].
% 33.05/33.23 congruence.
% 33.05/33.23 exact (zenon_H1b5 zenon_H118).
% 33.05/33.23 apply zenon_H3cc. apply refl_equal.
% 33.05/33.23 apply zenon_H3cc. apply refl_equal.
% 33.05/33.23 apply zenon_H109. apply sym_equal. exact zenon_H1a.
% 33.05/33.23 apply zenon_H3cc. apply refl_equal.
% 33.05/33.23 apply zenon_H3cc. apply refl_equal.
% 33.05/33.23 (* end of lemma zenon_L275_ *)
% 33.05/33.23 assert (zenon_L276_ : ((op2 (e23) (e22)) = (e20)) -> ((h4 (e13)) = (e23)) -> ((h4 (e12)) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((h4 (e10)) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((op1 (e13) (e12)) = (e10)) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> False).
% 33.05/33.23 do 0 intro. intros zenon_H1ff zenon_H334 zenon_H2fe zenon_H1dd zenon_H108 zenon_H1a zenon_H118 zenon_H3d0.
% 33.05/33.23 elim (classic ((op2 (h4 (e13)) (h4 (e12))) = (op2 (h4 (e13)) (h4 (e12))))); [ zenon_intro zenon_H3d1 | zenon_intro zenon_H3d2 ].
% 33.05/33.23 cut (((op2 (h4 (e13)) (h4 (e12))) = (op2 (h4 (e13)) (h4 (e12)))) = ((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))).
% 33.05/33.23 intro zenon_D_pnotp.
% 33.05/33.23 apply zenon_H3d0.
% 33.05/33.23 rewrite <- zenon_D_pnotp.
% 33.05/33.23 exact zenon_H3d1.
% 33.05/33.23 cut (((op2 (h4 (e13)) (h4 (e12))) = (op2 (h4 (e13)) (h4 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H3d2].
% 33.05/33.23 cut (((op2 (h4 (e13)) (h4 (e12))) = (h4 (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H3d3].
% 33.05/33.23 congruence.
% 33.05/33.23 cut (((op2 (e23) (e22)) = (e20)) = ((op2 (h4 (e13)) (h4 (e12))) = (h4 (op1 (e13) (e12))))).
% 33.05/33.23 intro zenon_D_pnotp.
% 33.05/33.23 apply zenon_H3d3.
% 33.05/33.23 rewrite <- zenon_D_pnotp.
% 33.05/33.23 exact zenon_H1ff.
% 33.05/33.23 cut (((e20) = (h4 (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H3ca].
% 33.05/33.23 cut (((op2 (e23) (e22)) = (op2 (h4 (e13)) (h4 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H3d4].
% 33.05/33.23 congruence.
% 33.05/33.23 elim (classic ((op2 (h4 (e13)) (h4 (e12))) = (op2 (h4 (e13)) (h4 (e12))))); [ zenon_intro zenon_H3d1 | zenon_intro zenon_H3d2 ].
% 33.05/33.23 cut (((op2 (h4 (e13)) (h4 (e12))) = (op2 (h4 (e13)) (h4 (e12)))) = ((op2 (e23) (e22)) = (op2 (h4 (e13)) (h4 (e12))))).
% 33.05/33.23 intro zenon_D_pnotp.
% 33.05/33.23 apply zenon_H3d4.
% 33.05/33.23 rewrite <- zenon_D_pnotp.
% 33.05/33.23 exact zenon_H3d1.
% 33.05/33.23 cut (((op2 (h4 (e13)) (h4 (e12))) = (op2 (h4 (e13)) (h4 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H3d2].
% 33.05/33.23 cut (((op2 (h4 (e13)) (h4 (e12))) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H3d5].
% 33.05/33.23 congruence.
% 33.05/33.23 cut (((h4 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H325].
% 33.05/33.23 cut (((h4 (e13)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H340].
% 33.05/33.23 congruence.
% 33.05/33.23 exact (zenon_H340 zenon_H334).
% 33.05/33.23 apply (zenon_L202_); trivial.
% 33.05/33.23 apply zenon_H3d2. apply refl_equal.
% 33.05/33.23 apply zenon_H3d2. apply refl_equal.
% 33.05/33.23 apply (zenon_L275_); trivial.
% 33.05/33.23 apply zenon_H3d2. apply refl_equal.
% 33.05/33.23 apply zenon_H3d2. apply refl_equal.
% 33.05/33.23 (* end of lemma zenon_L276_ *)
% 33.05/33.23 assert (zenon_L277_ : (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((h4 (e10)) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((h4 (e12)) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((h4 (e13)) = (e23)) -> ((op2 (e23) (e22)) = (e20)) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> ((e12) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e11)) = (e13)) -> False).
% 33.05/33.23 do 0 intro. intros zenon_H130 zenon_H3d0 zenon_H1a zenon_H108 zenon_H1dd zenon_H2fe zenon_H334 zenon_H1ff zenon_H90 zenon_H11d zenon_H128 zenon_H93 zenon_H126 zenon_H12c zenon_H12d.
% 33.05/33.23 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H118 | zenon_intro zenon_H133 ].
% 33.05/33.23 apply (zenon_L276_); trivial.
% 33.05/33.23 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H11e | zenon_intro zenon_H138 ].
% 33.05/33.23 apply (zenon_L50_); trivial.
% 33.05/33.23 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H127 | zenon_intro zenon_H12e ].
% 33.05/33.23 apply (zenon_L53_); trivial.
% 33.05/33.23 apply (zenon_L54_); trivial.
% 33.05/33.23 (* end of lemma zenon_L277_ *)
% 33.05/33.23 assert (zenon_L278_ : (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> ((op2 (e23) (e22)) = (e21)) -> False).
% 33.05/33.23 do 0 intro. intros zenon_H3d6 zenon_H17 zenon_H3d7.
% 33.05/33.23 cut (((e21) = (op2 (e23) (e23))) = ((op2 (e23) (e22)) = (op2 (e23) (e23)))).
% 33.05/33.23 intro zenon_D_pnotp.
% 33.05/33.23 apply zenon_H3d6.
% 33.05/33.23 rewrite <- zenon_D_pnotp.
% 33.05/33.23 exact zenon_H17.
% 33.05/33.23 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H3c].
% 33.05/33.23 cut (((e21) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H3d8].
% 33.05/33.23 congruence.
% 33.05/33.23 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_H3d9 | zenon_intro zenon_H3da ].
% 33.05/33.23 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((e21) = (op2 (e23) (e22)))).
% 33.05/33.23 intro zenon_D_pnotp.
% 33.05/33.23 apply zenon_H3d8.
% 33.05/33.23 rewrite <- zenon_D_pnotp.
% 33.05/33.23 exact zenon_H3d9.
% 33.05/33.23 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H3da].
% 33.05/33.23 cut (((op2 (e23) (e22)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H3db].
% 33.05/33.23 congruence.
% 33.05/33.23 exact (zenon_H3db zenon_H3d7).
% 33.05/33.23 apply zenon_H3da. apply refl_equal.
% 33.05/33.23 apply zenon_H3da. apply refl_equal.
% 33.05/33.23 apply zenon_H3c. apply refl_equal.
% 33.05/33.23 (* end of lemma zenon_L278_ *)
% 33.05/33.23 assert (zenon_L279_ : ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((op2 (e23) (e22)) = (e22)) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> False).
% 33.05/33.23 do 0 intro. intros zenon_H1dd zenon_H3dc zenon_H1a zenon_H3dd.
% 33.05/33.23 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_H3d9 | zenon_intro zenon_H3da ].
% 33.05/33.23 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((op2 (e23) (e20)) = (op2 (e23) (e22)))).
% 33.05/33.23 intro zenon_D_pnotp.
% 33.05/33.23 apply zenon_H3dd.
% 33.05/33.23 rewrite <- zenon_D_pnotp.
% 33.05/33.23 exact zenon_H3d9.
% 33.05/33.23 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H3da].
% 33.05/33.23 cut (((op2 (e23) (e22)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H3de].
% 33.05/33.23 congruence.
% 33.05/33.23 cut (((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) = ((op2 (e23) (e22)) = (op2 (e23) (e20)))).
% 33.05/33.23 intro zenon_D_pnotp.
% 33.05/33.23 apply zenon_H3de.
% 33.05/33.23 rewrite <- zenon_D_pnotp.
% 33.05/33.23 exact zenon_H1dd.
% 33.05/33.23 cut (((op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1db].
% 33.05/33.23 cut (((e22) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H3df].
% 33.05/33.23 congruence.
% 33.05/33.23 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_H3d9 | zenon_intro zenon_H3da ].
% 33.05/33.23 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((e22) = (op2 (e23) (e22)))).
% 33.05/33.23 intro zenon_D_pnotp.
% 33.05/33.23 apply zenon_H3df.
% 33.05/33.23 rewrite <- zenon_D_pnotp.
% 33.05/33.23 exact zenon_H3d9.
% 33.05/33.23 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H3da].
% 33.05/33.23 cut (((op2 (e23) (e22)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H3e0].
% 33.05/33.23 congruence.
% 33.05/33.23 exact (zenon_H3e0 zenon_H3dc).
% 33.05/33.23 apply zenon_H3da. apply refl_equal.
% 33.05/33.23 apply zenon_H3da. apply refl_equal.
% 33.05/33.23 apply (zenon_L88_); trivial.
% 33.05/33.23 apply zenon_H3da. apply refl_equal.
% 33.05/33.23 apply zenon_H3da. apply refl_equal.
% 33.05/33.23 (* end of lemma zenon_L279_ *)
% 33.05/33.23 assert (zenon_L280_ : (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e21)) = (e23)) -> ((op2 (e23) (e22)) = (e23)) -> False).
% 33.05/33.23 do 0 intro. intros zenon_H3e1 zenon_H236 zenon_H3e2.
% 33.05/33.23 cut (((op2 (e23) (e21)) = (e23)) = ((op2 (e23) (e21)) = (op2 (e23) (e22)))).
% 33.05/33.23 intro zenon_D_pnotp.
% 33.05/33.23 apply zenon_H3e1.
% 33.05/33.23 rewrite <- zenon_D_pnotp.
% 33.05/33.23 exact zenon_H236.
% 33.05/33.23 cut (((e23) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H3e3].
% 33.05/33.23 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2a].
% 33.05/33.23 congruence.
% 33.05/33.23 apply zenon_H2a. apply refl_equal.
% 33.05/33.23 apply zenon_H3e3. apply sym_equal. exact zenon_H3e2.
% 33.05/33.23 (* end of lemma zenon_L280_ *)
% 33.05/33.23 assert (zenon_L281_ : ((~((op2 (e23) (e23)) = (e21)))\/((op2 (e23) (e21)) = (e23))) -> ((e11) = (op1 (e13) (e13))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((h4 (e10)) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((h4 (e13)) = (e23)) -> ((h4 (e12)) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e13) (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) -> ((e10) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))) -> ((e21) = (op2 (e23) (e23))) -> False).
% 33.05/33.23 do 0 intro. intros zenon_H239 zenon_H90 zenon_H3e4 zenon_H3e1 zenon_H3dd zenon_H3d6 zenon_H3d0 zenon_H1a zenon_H108 zenon_H334 zenon_H2fe zenon_H1dd zenon_H11d zenon_H128 zenon_H126 zenon_H93 zenon_H12c zenon_H130 zenon_H172 zenon_H17.
% 33.05/33.23 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H18 | zenon_intro zenon_H236 ].
% 33.05/33.23 apply zenon_H18. apply sym_equal. exact zenon_H17.
% 33.05/33.23 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H91 | zenon_intro zenon_H12d ].
% 33.05/33.23 apply zenon_H91. apply sym_equal. exact zenon_H90.
% 33.05/33.23 apply (zenon_or_s _ _ zenon_H3e4); [ zenon_intro zenon_H1ff | zenon_intro zenon_H3e5 ].
% 33.05/33.23 apply (zenon_L277_); trivial.
% 33.05/33.23 apply (zenon_or_s _ _ zenon_H3e5); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H3e6 ].
% 33.05/33.23 apply (zenon_L278_); trivial.
% 33.05/33.23 apply (zenon_or_s _ _ zenon_H3e6); [ zenon_intro zenon_H3dc | zenon_intro zenon_H3e2 ].
% 33.05/33.23 apply (zenon_L279_); trivial.
% 33.05/33.23 apply (zenon_L280_); trivial.
% 33.05/33.23 (* end of lemma zenon_L281_ *)
% 33.05/33.23 assert (zenon_L282_ : (~((h4 (op1 (e13) (e13))) = (op2 (h4 (e13)) (h4 (e13))))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e11) = (op1 (e13) (e13))) -> ((h4 (e13)) = (e23)) -> False).
% 33.05/33.23 do 0 intro. intros zenon_H3e7 zenon_H2fb zenon_H90 zenon_H334.
% 33.05/33.23 cut (((h4 (e11)) = (op2 (e23) (e23))) = ((h4 (op1 (e13) (e13))) = (op2 (h4 (e13)) (h4 (e13))))).
% 33.05/33.23 intro zenon_D_pnotp.
% 33.05/33.23 apply zenon_H3e7.
% 33.05/33.23 rewrite <- zenon_D_pnotp.
% 33.05/33.23 exact zenon_H2fb.
% 33.05/33.23 cut (((op2 (e23) (e23)) = (op2 (h4 (e13)) (h4 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3e8].
% 33.05/33.23 cut (((h4 (e11)) = (h4 (op1 (e13) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3e9].
% 33.05/33.23 congruence.
% 33.05/33.23 elim (classic ((h4 (op1 (e13) (e13))) = (h4 (op1 (e13) (e13))))); [ zenon_intro zenon_H3ea | zenon_intro zenon_H3eb ].
% 33.05/33.23 cut (((h4 (op1 (e13) (e13))) = (h4 (op1 (e13) (e13)))) = ((h4 (e11)) = (h4 (op1 (e13) (e13))))).
% 33.05/33.23 intro zenon_D_pnotp.
% 33.05/33.23 apply zenon_H3e9.
% 33.05/33.23 rewrite <- zenon_D_pnotp.
% 33.05/33.23 exact zenon_H3ea.
% 33.05/33.23 cut (((h4 (op1 (e13) (e13))) = (h4 (op1 (e13) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3eb].
% 33.05/33.23 cut (((h4 (op1 (e13) (e13))) = (h4 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H3ec].
% 33.05/33.23 congruence.
% 33.05/33.23 cut (((op1 (e13) (e13)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H91].
% 33.05/33.23 congruence.
% 33.05/33.23 apply zenon_H91. apply sym_equal. exact zenon_H90.
% 33.05/33.23 apply zenon_H3eb. apply refl_equal.
% 33.05/33.23 apply zenon_H3eb. apply refl_equal.
% 33.05/33.23 cut (((e23) = (h4 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H3b3].
% 33.05/33.23 cut (((e23) = (h4 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H3b3].
% 33.05/33.23 congruence.
% 33.05/33.23 apply zenon_H3b3. apply sym_equal. exact zenon_H334.
% 33.05/33.23 apply zenon_H3b3. apply sym_equal. exact zenon_H334.
% 33.05/33.23 (* end of lemma zenon_L282_ *)
% 33.05/33.23 assert (zenon_L283_ : (~(((h4 (e10)) = (e20))\/(((h4 (e11)) = (e20))\/(((h4 (e12)) = (e20))\/((h4 (e13)) = (e20)))))) -> ((h4 (e10)) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23)))) -> False).
% 33.05/33.23 do 0 intro. intros zenon_H3ed zenon_H108 zenon_H1a.
% 33.05/33.23 apply (zenon_notor_s _ _ zenon_H3ed). zenon_intro zenon_H107. zenon_intro zenon_H3ee.
% 33.05/33.23 apply (zenon_L47_); trivial.
% 33.05/33.23 (* end of lemma zenon_L283_ *)
% 33.05/33.23 assert (zenon_L284_ : (~(((h4 (e10)) = (e21))\/(((h4 (e11)) = (e21))\/(((h4 (e12)) = (e21))\/((h4 (e13)) = (e21)))))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e21) = (op2 (e23) (e23))) -> False).
% 33.05/33.23 do 0 intro. intros zenon_H3ef zenon_H2fb zenon_H17.
% 33.05/33.23 apply (zenon_notor_s _ _ zenon_H3ef). zenon_intro zenon_H3f1. zenon_intro zenon_H3f0.
% 33.05/33.23 apply (zenon_notor_s _ _ zenon_H3f0). zenon_intro zenon_H2fa. zenon_intro zenon_H3f2.
% 33.05/33.23 apply (zenon_L166_); trivial.
% 33.05/33.23 (* end of lemma zenon_L284_ *)
% 33.05/33.23 assert (zenon_L285_ : (~(((h4 (e10)) = (e22))\/(((h4 (e11)) = (e22))\/(((h4 (e12)) = (e22))\/((h4 (e13)) = (e22)))))) -> ((h4 (e12)) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((e22) = (op2 (e23) (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> False).
% 33.05/33.23 do 0 intro. intros zenon_H3f3 zenon_H2fe zenon_H1dd.
% 33.05/33.23 apply (zenon_notor_s _ _ zenon_H3f3). zenon_intro zenon_H3f5. zenon_intro zenon_H3f4.
% 33.05/33.23 apply (zenon_notor_s _ _ zenon_H3f4). zenon_intro zenon_H3f7. zenon_intro zenon_H3f6.
% 33.05/33.23 apply (zenon_notor_s _ _ zenon_H3f6). zenon_intro zenon_H325. zenon_intro zenon_H3f8.
% 33.05/33.23 apply (zenon_L202_); trivial.
% 33.05/33.23 (* end of lemma zenon_L285_ *)
% 33.05/33.23 assert (zenon_L286_ : (~(((h4 (e10)) = (e23))\/(((h4 (e11)) = (e23))\/(((h4 (e12)) = (e23))\/((h4 (e13)) = (e23)))))) -> ((h4 (e13)) = (e23)) -> False).
% 33.05/33.23 do 0 intro. intros zenon_H3f9 zenon_H334.
% 33.05/33.23 apply (zenon_notor_s _ _ zenon_H3f9). zenon_intro zenon_H3fb. zenon_intro zenon_H3fa.
% 33.05/33.23 apply (zenon_notor_s _ _ zenon_H3fa). zenon_intro zenon_H3fd. zenon_intro zenon_H3fc.
% 33.05/33.23 apply (zenon_notor_s _ _ zenon_H3fc). zenon_intro zenon_H3fe. zenon_intro zenon_H340.
% 33.05/33.23 exact (zenon_H340 zenon_H334).
% 33.05/33.23 (* end of lemma zenon_L286_ *)
% 33.05/33.23 apply NNPP. intro zenon_G.
% 33.05/33.23 apply (zenon_and_s _ _ ax1). zenon_intro zenon_H400. zenon_intro zenon_H3ff.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H3ff). zenon_intro zenon_H2de. zenon_intro zenon_H401.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H401). zenon_intro zenon_H403. zenon_intro zenon_H402.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H402). zenon_intro zenon_H1a0. zenon_intro zenon_H404.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H404). zenon_intro zenon_H406. zenon_intro zenon_H405.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H405). zenon_intro zenon_H139. zenon_intro zenon_H407.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H407). zenon_intro zenon_H409. zenon_intro zenon_H408.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H408). zenon_intro zenon_H2f4. zenon_intro zenon_H40a.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H40a). zenon_intro zenon_H379. zenon_intro zenon_H40b.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H40b). zenon_intro zenon_H40d. zenon_intro zenon_H40c.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H40c). zenon_intro zenon_H40f. zenon_intro zenon_H40e.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H40e). zenon_intro zenon_H411. zenon_intro zenon_H410.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H410). zenon_intro zenon_H413. zenon_intro zenon_H412.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H412). zenon_intro zenon_H415. zenon_intro zenon_H414.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H414). zenon_intro zenon_H130. zenon_intro zenon_H416.
% 33.05/33.23 apply (zenon_and_s _ _ ax2). zenon_intro zenon_H173. zenon_intro zenon_H417.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H417). zenon_intro zenon_H1c4. zenon_intro zenon_H418.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H418). zenon_intro zenon_He6. zenon_intro zenon_H419.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H419). zenon_intro zenon_H41b. zenon_intro zenon_H41a.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H41a). zenon_intro zenon_H30e. zenon_intro zenon_H41c.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H41c). zenon_intro zenon_H2e1. zenon_intro zenon_H41d.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H41d). zenon_intro zenon_H19f. zenon_intro zenon_H41e.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H41e). zenon_intro zenon_H18a. zenon_intro zenon_H41f.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H41f). zenon_intro zenon_H421. zenon_intro zenon_H420.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H420). zenon_intro zenon_Ha7. zenon_intro zenon_H422.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H422). zenon_intro zenon_H424. zenon_intro zenon_H423.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H423). zenon_intro zenon_He8. zenon_intro zenon_H425.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H425). zenon_intro zenon_H15f. zenon_intro zenon_H426.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H426). zenon_intro zenon_H428. zenon_intro zenon_H427.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H427). zenon_intro zenon_H160. zenon_intro zenon_H429.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H429). zenon_intro zenon_H42b. zenon_intro zenon_H42a.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H42a). zenon_intro zenon_H3a9. zenon_intro zenon_H42c.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H42c). zenon_intro zenon_H1b6. zenon_intro zenon_H42d.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H42d). zenon_intro zenon_Hcd. zenon_intro zenon_H42e.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H42e). zenon_intro zenon_H430. zenon_intro zenon_H42f.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H42f). zenon_intro zenon_H2f7. zenon_intro zenon_H431.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H431). zenon_intro zenon_H433. zenon_intro zenon_H432.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H432). zenon_intro zenon_H435. zenon_intro zenon_H434.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H434). zenon_intro zenon_H437. zenon_intro zenon_H436.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H436). zenon_intro zenon_H439. zenon_intro zenon_H438.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H438). zenon_intro zenon_H3a0. zenon_intro zenon_H43a.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H43a). zenon_intro zenon_H43c. zenon_intro zenon_H43b.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H43b). zenon_intro zenon_H43e. zenon_intro zenon_H43d.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H43d). zenon_intro zenon_H3b8. zenon_intro zenon_H43f.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H43f). zenon_intro zenon_H441. zenon_intro zenon_H440.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H440). zenon_intro zenon_H442. zenon_intro zenon_H161.
% 33.05/33.23 apply (zenon_and_s _ _ ax3). zenon_intro zenon_H444. zenon_intro zenon_H443.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H443). zenon_intro zenon_H446. zenon_intro zenon_H445.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H445). zenon_intro zenon_H448. zenon_intro zenon_H447.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H447). zenon_intro zenon_H27a. zenon_intro zenon_H449.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H449). zenon_intro zenon_H44b. zenon_intro zenon_H44a.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H44a). zenon_intro zenon_H44d. zenon_intro zenon_H44c.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H44c). zenon_intro zenon_H35e. zenon_intro zenon_H44e.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H44e). zenon_intro zenon_H2cd. zenon_intro zenon_H44f.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H44f). zenon_intro zenon_H274. zenon_intro zenon_H450.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H450). zenon_intro zenon_H452. zenon_intro zenon_H451.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H451). zenon_intro zenon_H2b8. zenon_intro zenon_H453.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H453). zenon_intro zenon_H455. zenon_intro zenon_H454.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H454). zenon_intro zenon_H457. zenon_intro zenon_H456.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H456). zenon_intro zenon_H459. zenon_intro zenon_H458.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H458). zenon_intro zenon_H3e4. zenon_intro zenon_H45a.
% 33.05/33.23 apply (zenon_and_s _ _ ax4). zenon_intro zenon_H245. zenon_intro zenon_H45b.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H45b). zenon_intro zenon_H45d. zenon_intro zenon_H45c.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H45c). zenon_intro zenon_H71. zenon_intro zenon_H45e.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H45e). zenon_intro zenon_H460. zenon_intro zenon_H45f.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H45f). zenon_intro zenon_H210. zenon_intro zenon_H461.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H461). zenon_intro zenon_H211. zenon_intro zenon_H462.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H462). zenon_intro zenon_H464. zenon_intro zenon_H463.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H463). zenon_intro zenon_H466. zenon_intro zenon_H465.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H465). zenon_intro zenon_H468. zenon_intro zenon_H467.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H467). zenon_intro zenon_H2e. zenon_intro zenon_H469.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H469). zenon_intro zenon_H46b. zenon_intro zenon_H46a.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H46a). zenon_intro zenon_H73. zenon_intro zenon_H46c.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H46c). zenon_intro zenon_H20b. zenon_intro zenon_H46d.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H46d). zenon_intro zenon_H25f. zenon_intro zenon_H46e.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H46e). zenon_intro zenon_H22c. zenon_intro zenon_H46f.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H46f). zenon_intro zenon_H471. zenon_intro zenon_H470.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H470). zenon_intro zenon_H29f. zenon_intro zenon_H472.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H472). zenon_intro zenon_H297. zenon_intro zenon_H473.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H473). zenon_intro zenon_H54. zenon_intro zenon_H474.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H474). zenon_intro zenon_H476. zenon_intro zenon_H475.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H475). zenon_intro zenon_H2c9. zenon_intro zenon_H477.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H477). zenon_intro zenon_H479. zenon_intro zenon_H478.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_H47b. zenon_intro zenon_H47a.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H47d. zenon_intro zenon_H47c.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H47c). zenon_intro zenon_H201. zenon_intro zenon_H47e.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H47e). zenon_intro zenon_H3a6. zenon_intro zenon_H47f.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H47f). zenon_intro zenon_H481. zenon_intro zenon_H480.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H480). zenon_intro zenon_H483. zenon_intro zenon_H482.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H482). zenon_intro zenon_H485. zenon_intro zenon_H484.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H484). zenon_intro zenon_H487. zenon_intro zenon_H486.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H486). zenon_intro zenon_H488. zenon_intro zenon_H22e.
% 33.05/33.23 apply (zenon_and_s _ _ ax5). zenon_intro zenon_H48a. zenon_intro zenon_H489.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H489). zenon_intro zenon_H48c. zenon_intro zenon_H48b.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H48b). zenon_intro zenon_H48e. zenon_intro zenon_H48d.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H48d). zenon_intro zenon_Hb9. zenon_intro zenon_H48f.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H48f). zenon_intro zenon_H140. zenon_intro zenon_H490.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H490). zenon_intro zenon_H1bf. zenon_intro zenon_H491.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H491). zenon_intro zenon_H92. zenon_intro zenon_H492.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H492). zenon_intro zenon_Hc3. zenon_intro zenon_H493.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H493). zenon_intro zenon_H179. zenon_intro zenon_H494.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H494). zenon_intro zenon_H9a. zenon_intro zenon_H495.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H495). zenon_intro zenon_Ha1. zenon_intro zenon_H496.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H496). zenon_intro zenon_H498. zenon_intro zenon_H497.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H497). zenon_intro zenon_H49a. zenon_intro zenon_H499.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H499). zenon_intro zenon_H2e3. zenon_intro zenon_H49b.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H49b). zenon_intro zenon_H132. zenon_intro zenon_H49c.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H49c). zenon_intro zenon_H145. zenon_intro zenon_H49d.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H49d). zenon_intro zenon_H49f. zenon_intro zenon_H49e.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H49e). zenon_intro zenon_H4a1. zenon_intro zenon_H4a0.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H4a0). zenon_intro zenon_H198. zenon_intro zenon_H4a2.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H4a2). zenon_intro zenon_H4a4. zenon_intro zenon_H4a3.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H4a3). zenon_intro zenon_Hd7. zenon_intro zenon_H4a5.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H4a5). zenon_intro zenon_H2ef. zenon_intro zenon_H4a6.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H4a6). zenon_intro zenon_H168. zenon_intro zenon_H4a7.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H4a7). zenon_intro zenon_Hc7. zenon_intro zenon_H4a8.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H4a8). zenon_intro zenon_H4aa. zenon_intro zenon_H4a9.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H4a9). zenon_intro zenon_H311. zenon_intro zenon_H4ab.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H4ab). zenon_intro zenon_H195. zenon_intro zenon_H4ac.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H4ac). zenon_intro zenon_H4ae. zenon_intro zenon_H4ad.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H4ad). zenon_intro zenon_H4b0. zenon_intro zenon_H4af.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H4af). zenon_intro zenon_H4b2. zenon_intro zenon_H4b1.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H4b1). zenon_intro zenon_Hac. zenon_intro zenon_H4b3.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H4b3). zenon_intro zenon_H16e. zenon_intro zenon_H4b4.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H4b4). zenon_intro zenon_H4b6. zenon_intro zenon_H4b5.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H4b5). zenon_intro zenon_H1a9. zenon_intro zenon_H4b7.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H4b7). zenon_intro zenon_H2e9. zenon_intro zenon_H4b8.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H4b8). zenon_intro zenon_H4ba. zenon_intro zenon_H4b9.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H4b9). zenon_intro zenon_H4bc. zenon_intro zenon_H4bb.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H4bb). zenon_intro zenon_H4be. zenon_intro zenon_H4bd.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H4bd). zenon_intro zenon_H4c0. zenon_intro zenon_H4bf.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H4bf). zenon_intro zenon_Hdf. zenon_intro zenon_H4c1.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H4c1). zenon_intro zenon_H4c3. zenon_intro zenon_H4c2.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H4c2). zenon_intro zenon_H4c5. zenon_intro zenon_H4c4.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H4c4). zenon_intro zenon_H186. zenon_intro zenon_H4c6.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H4c6). zenon_intro zenon_H128. zenon_intro zenon_H4c7.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H4c7). zenon_intro zenon_H4c9. zenon_intro zenon_H4c8.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H4c8). zenon_intro zenon_H12c. zenon_intro zenon_H4ca.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H4ca). zenon_intro zenon_Hd3. zenon_intro zenon_H11d.
% 33.05/33.23 apply (zenon_and_s _ _ ax6). zenon_intro zenon_H4cc. zenon_intro zenon_H4cb.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H4cb). zenon_intro zenon_H268. zenon_intro zenon_H4cd.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H4cd). zenon_intro zenon_H1dc. zenon_intro zenon_H4ce.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H4ce). zenon_intro zenon_H40. zenon_intro zenon_H4cf.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H4cf). zenon_intro zenon_H1e3. zenon_intro zenon_H4d0.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H4d0). zenon_intro zenon_H1e7. zenon_intro zenon_H4d1.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H4d1). zenon_intro zenon_H19. zenon_intro zenon_H4d2.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H4d2). zenon_intro zenon_H4a. zenon_intro zenon_H4d3.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H4d3). zenon_intro zenon_H4d5. zenon_intro zenon_H4d4.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H4d4). zenon_intro zenon_H21. zenon_intro zenon_H4d6.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H4d6). zenon_intro zenon_H28. zenon_intro zenon_H4d7.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H4d7). zenon_intro zenon_H4d9. zenon_intro zenon_H4d8.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H4d8). zenon_intro zenon_H4db. zenon_intro zenon_H4da.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H4da). zenon_intro zenon_H5a. zenon_intro zenon_H4dc.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H4dc). zenon_intro zenon_H1fd. zenon_intro zenon_H4dd.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H4dd). zenon_intro zenon_H1ec. zenon_intro zenon_H4de.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H4de). zenon_intro zenon_H4e0. zenon_intro zenon_H4df.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H4df). zenon_intro zenon_H4e2. zenon_intro zenon_H4e1.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H4e1). zenon_intro zenon_H209. zenon_intro zenon_H4e3.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H4e3). zenon_intro zenon_H29e. zenon_intro zenon_H4e4.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H4e4). zenon_intro zenon_H62. zenon_intro zenon_H4e5.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H4e5). zenon_intro zenon_H2c5. zenon_intro zenon_H4e6.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H4e6). zenon_intro zenon_H23a. zenon_intro zenon_H4e7.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H4e7). zenon_intro zenon_H4e. zenon_intro zenon_H4e8.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H4e8). zenon_intro zenon_H4ea. zenon_intro zenon_H4e9.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H4e9). zenon_intro zenon_H277. zenon_intro zenon_H4eb.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H4eb). zenon_intro zenon_H24b. zenon_intro zenon_H4ec.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H4ec). zenon_intro zenon_H4ee. zenon_intro zenon_H4ed.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H4ed). zenon_intro zenon_H251. zenon_intro zenon_H4ef.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H4ef). zenon_intro zenon_H4f1. zenon_intro zenon_H4f0.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H4f0). zenon_intro zenon_H33. zenon_intro zenon_H4f2.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H4f2). zenon_intro zenon_H240. zenon_intro zenon_H4f3.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H4f3). zenon_intro zenon_H4f5. zenon_intro zenon_H4f4.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H4f4). zenon_intro zenon_H28b. zenon_intro zenon_H4f6.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H4f6). zenon_intro zenon_H2be. zenon_intro zenon_H4f7.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H4f7). zenon_intro zenon_H4f9. zenon_intro zenon_H4f8.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H4f8). zenon_intro zenon_H4fb. zenon_intro zenon_H4fa.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H4fa). zenon_intro zenon_H4fd. zenon_intro zenon_H4fc.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H4fc). zenon_intro zenon_H4ff. zenon_intro zenon_H4fe.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H4fe). zenon_intro zenon_H6a. zenon_intro zenon_H500.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H500). zenon_intro zenon_H2d0. zenon_intro zenon_H501.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H501). zenon_intro zenon_H503. zenon_intro zenon_H502.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H502). zenon_intro zenon_H234. zenon_intro zenon_H504.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H504). zenon_intro zenon_H3dd. zenon_intro zenon_H505.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H505). zenon_intro zenon_H507. zenon_intro zenon_H506.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H506). zenon_intro zenon_H3e1. zenon_intro zenon_H508.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H508). zenon_intro zenon_H5e. zenon_intro zenon_H3d6.
% 33.05/33.23 apply (zenon_and_s _ _ ax7). zenon_intro zenon_H50a. zenon_intro zenon_H509.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H509). zenon_intro zenon_H50c. zenon_intro zenon_H50b.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H50b). zenon_intro zenon_H14e. zenon_intro zenon_H50d.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H50d). zenon_intro zenon_H50f. zenon_intro zenon_H50e.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H50e). zenon_intro zenon_Hf9. zenon_intro zenon_H153.
% 33.05/33.23 apply (zenon_and_s _ _ ax8). zenon_intro zenon_H511. zenon_intro zenon_H510.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H510). zenon_intro zenon_H513. zenon_intro zenon_H512.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H512). zenon_intro zenon_H21c. zenon_intro zenon_H514.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H514). zenon_intro zenon_H516. zenon_intro zenon_H515.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H515). zenon_intro zenon_H83. zenon_intro zenon_H220.
% 33.05/33.23 apply (zenon_and_s _ _ ax10). zenon_intro zenon_H1ca. zenon_intro zenon_H517.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H517). zenon_intro zenon_Hfd. zenon_intro zenon_H518.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H518). zenon_intro zenon_H1cb. zenon_intro zenon_H519.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H519). zenon_intro zenon_He4. zenon_intro zenon_H51a.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H51a). zenon_intro zenon_H313. zenon_intro zenon_H51b.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H51b). zenon_intro zenon_H19e. zenon_intro zenon_H51c.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H51c). zenon_intro zenon_Hb1. zenon_intro zenon_H51d.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H51d). zenon_intro zenon_He5. zenon_intro zenon_H51e.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H51e). zenon_intro zenon_H171. zenon_intro zenon_H51f.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H51f). zenon_intro zenon_H175. zenon_intro zenon_H520.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H520). zenon_intro zenon_H1c3. zenon_intro zenon_H521.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H521). zenon_intro zenon_He9. zenon_intro zenon_H522.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H522). zenon_intro zenon_H312. zenon_intro zenon_H523.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H523). zenon_intro zenon_H525. zenon_intro zenon_H524.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H524). zenon_intro zenon_H3a5. zenon_intro zenon_H526.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H526). zenon_intro zenon_H172. zenon_intro zenon_H527.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H527). zenon_intro zenon_H3b9. zenon_intro zenon_H174.
% 33.05/33.23 apply (zenon_and_s _ _ ax11). zenon_intro zenon_H2a4. zenon_intro zenon_H528.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H528). zenon_intro zenon_H87. zenon_intro zenon_H529.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H529). zenon_intro zenon_H2a5. zenon_intro zenon_H52a.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H52a). zenon_intro zenon_H6f. zenon_intro zenon_H52b.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H52b). zenon_intro zenon_H279. zenon_intro zenon_H52c.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H52c). zenon_intro zenon_H52e. zenon_intro zenon_H52d.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H52d). zenon_intro zenon_H38. zenon_intro zenon_H52f.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H52f). zenon_intro zenon_H70. zenon_intro zenon_H530.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H530). zenon_intro zenon_H248. zenon_intro zenon_H531.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H531). zenon_intro zenon_H243. zenon_intro zenon_H532.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H532). zenon_intro zenon_H247. zenon_intro zenon_H533.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H533). zenon_intro zenon_H74. zenon_intro zenon_H534.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H534). zenon_intro zenon_H31f. zenon_intro zenon_H535.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H535). zenon_intro zenon_H2d1. zenon_intro zenon_H536.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H536). zenon_intro zenon_H244. zenon_intro zenon_H537.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H537). zenon_intro zenon_H239. zenon_intro zenon_H538.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H538). zenon_intro zenon_H539. zenon_intro zenon_H246.
% 33.05/33.23 apply (zenon_and_s _ _ ax12). zenon_intro zenon_H93. zenon_intro zenon_H53a.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H53a). zenon_intro zenon_H90. zenon_intro zenon_H126.
% 33.05/33.23 apply (zenon_and_s _ _ ax13). zenon_intro zenon_H1a. zenon_intro zenon_H53b.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H53b). zenon_intro zenon_H17. zenon_intro zenon_H1dd.
% 33.05/33.23 apply (zenon_and_s _ _ ax17). zenon_intro zenon_H334. zenon_intro zenon_H53c.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H53c). zenon_intro zenon_H108. zenon_intro zenon_H53d.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H53d). zenon_intro zenon_H2fb. zenon_intro zenon_H2fe.
% 33.05/33.23 apply (zenon_notor_s _ _ zenon_G). zenon_intro zenon_H53f. zenon_intro zenon_H53e.
% 33.05/33.23 apply (zenon_notor_s _ _ zenon_H53e). zenon_intro zenon_H541. zenon_intro zenon_H540.
% 33.05/33.23 apply (zenon_notor_s _ _ zenon_H540). zenon_intro zenon_H543. zenon_intro zenon_H542.
% 33.05/33.23 apply (zenon_notand_s _ _ zenon_H542); [ zenon_intro zenon_H10b | zenon_intro zenon_H544 ].
% 33.05/33.23 apply (zenon_L140_); trivial.
% 33.05/33.23 apply (zenon_notand_s _ _ zenon_H544); [ zenon_intro zenon_H2fd | zenon_intro zenon_H545 ].
% 33.05/33.23 apply (zenon_or_s _ _ zenon_H2a4); [ zenon_intro zenon_H86 | zenon_intro zenon_H2a6 ].
% 33.05/33.23 apply (zenon_L24_); trivial.
% 33.05/33.23 apply (zenon_or_s _ _ zenon_H2a6); [ zenon_intro zenon_H2a8 | zenon_intro zenon_H2a7 ].
% 33.05/33.23 apply (zenon_L190_); trivial.
% 33.05/33.23 apply (zenon_or_s _ _ zenon_H2a7); [ zenon_intro zenon_H27f | zenon_intro zenon_H2ae ].
% 33.05/33.23 apply (zenon_L127_); trivial.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H2ae). zenon_intro zenon_H285. zenon_intro zenon_H2af.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_H2b1. zenon_intro zenon_H2b0.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H293. zenon_intro zenon_H2a3.
% 33.05/33.23 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H14 | zenon_intro zenon_H8c ].
% 33.05/33.23 apply (zenon_L200_); trivial.
% 33.05/33.23 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H35 | zenon_intro zenon_H8d ].
% 33.05/33.23 apply (zenon_L9_); trivial.
% 33.05/33.23 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H68 | zenon_intro zenon_H84 ].
% 33.05/33.23 apply (zenon_L201_); trivial.
% 33.05/33.23 apply (zenon_L139_); trivial.
% 33.05/33.23 apply (zenon_notand_s _ _ zenon_H545); [ zenon_intro zenon_H328 | zenon_intro zenon_H546 ].
% 33.05/33.23 apply (zenon_L210_); trivial.
% 33.05/33.23 apply (zenon_notand_s _ _ zenon_H546); [ zenon_intro zenon_H335 | zenon_intro zenon_H547 ].
% 33.05/33.23 apply (zenon_or_s _ _ zenon_H2a4); [ zenon_intro zenon_H86 | zenon_intro zenon_H2a6 ].
% 33.05/33.23 apply (zenon_L24_); trivial.
% 33.05/33.23 apply (zenon_or_s _ _ zenon_H2a6); [ zenon_intro zenon_H2a8 | zenon_intro zenon_H2a7 ].
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H2aa. zenon_intro zenon_H2a9.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H2a9). zenon_intro zenon_H2ac. zenon_intro zenon_H2ab.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H2ab). zenon_intro zenon_H223. zenon_intro zenon_H2ad.
% 33.05/33.23 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H14 | zenon_intro zenon_H8c ].
% 33.05/33.23 apply (zenon_L215_); trivial.
% 33.05/33.23 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H35 | zenon_intro zenon_H8d ].
% 33.05/33.23 apply (zenon_L9_); trivial.
% 33.05/33.23 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H68 | zenon_intro zenon_H84 ].
% 33.05/33.23 apply (zenon_L217_); trivial.
% 33.05/33.23 apply (zenon_L23_); trivial.
% 33.05/33.23 apply (zenon_or_s _ _ zenon_H2a7); [ zenon_intro zenon_H27f | zenon_intro zenon_H2ae ].
% 33.05/33.23 apply (zenon_L127_); trivial.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H2ae). zenon_intro zenon_H285. zenon_intro zenon_H2af.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_H2b1. zenon_intro zenon_H2b0.
% 33.05/33.23 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H293. zenon_intro zenon_H2a3.
% 33.05/33.23 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H14 | zenon_intro zenon_H8c ].
% 33.05/33.23 apply (zenon_L218_); trivial.
% 33.05/33.23 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H35 | zenon_intro zenon_H8d ].
% 33.05/33.23 apply (zenon_L9_); trivial.
% 33.05/33.23 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H68 | zenon_intro zenon_H84 ].
% 33.05/33.23 apply (zenon_L219_); trivial.
% 33.05/33.23 apply (zenon_L139_); trivial.
% 33.05/33.23 apply (zenon_notand_s _ _ zenon_H547); [ zenon_intro zenon_H341 | zenon_intro zenon_H548 ].
% 33.05/33.23 apply (zenon_L220_); trivial.
% 33.05/33.23 apply (zenon_notand_s _ _ zenon_H548); [ zenon_intro zenon_H34c | zenon_intro zenon_H549 ].
% 33.05/33.23 apply (zenon_L222_); trivial.
% 33.05/33.23 apply (zenon_notand_s _ _ zenon_H549); [ zenon_intro zenon_H353 | zenon_intro zenon_H54a ].
% 33.05/33.23 apply (zenon_L230_); trivial.
% 33.05/33.23 apply (zenon_notand_s _ _ zenon_H54a); [ zenon_intro zenon_H361 | zenon_intro zenon_H54b ].
% 33.05/33.23 apply (zenon_L238_); trivial.
% 33.05/33.23 apply (zenon_notand_s _ _ zenon_H54b); [ zenon_intro zenon_H373 | zenon_intro zenon_H54c ].
% 33.05/33.23 apply (zenon_L248_); trivial.
% 33.05/33.23 apply (zenon_notand_s _ _ zenon_H54c); [ zenon_intro zenon_H37c | zenon_intro zenon_H54d ].
% 33.05/33.23 apply (zenon_L256_); trivial.
% 33.05/33.23 apply (zenon_notand_s _ _ zenon_H54d); [ zenon_intro zenon_H38e | zenon_intro zenon_H54e ].
% 33.05/33.23 apply (zenon_L261_); trivial.
% 33.05/33.23 apply (zenon_notand_s _ _ zenon_H54e); [ zenon_intro zenon_H399 | zenon_intro zenon_H54f ].
% 33.05/33.23 apply (zenon_L269_); trivial.
% 33.05/33.23 apply (zenon_notand_s _ _ zenon_H54f); [ zenon_intro zenon_H3ac | zenon_intro zenon_H550 ].
% 33.05/33.23 apply (zenon_L272_); trivial.
% 33.05/33.23 apply (zenon_notand_s _ _ zenon_H550); [ zenon_intro zenon_H3c4 | zenon_intro zenon_H551 ].
% 33.05/33.23 apply (zenon_L274_); trivial.
% 33.05/33.23 apply (zenon_notand_s _ _ zenon_H551); [ zenon_intro zenon_H3d0 | zenon_intro zenon_H552 ].
% 33.05/33.23 apply (zenon_L281_); trivial.
% 33.05/33.23 apply (zenon_notand_s _ _ zenon_H552); [ zenon_intro zenon_H3e7 | zenon_intro zenon_H553 ].
% 33.05/33.23 apply (zenon_L282_); trivial.
% 33.05/33.23 apply (zenon_notand_s _ _ zenon_H553); [ zenon_intro zenon_H3ed | zenon_intro zenon_H554 ].
% 33.05/33.23 apply (zenon_L283_); trivial.
% 33.05/33.23 apply (zenon_notand_s _ _ zenon_H554); [ zenon_intro zenon_H3ef | zenon_intro zenon_H555 ].
% 33.05/33.23 apply (zenon_L284_); trivial.
% 33.05/33.23 apply (zenon_notand_s _ _ zenon_H555); [ zenon_intro zenon_H3f3 | zenon_intro zenon_H3f9 ].
% 33.05/33.23 apply (zenon_L285_); trivial.
% 33.05/33.23 apply (zenon_L286_); trivial.
% 33.05/33.23 Qed.
% 33.05/33.23 % SZS output end Proof
% 33.05/33.23 (* END-PROOF *)
% 33.05/33.23 nodes searched: 1447601
% 33.05/33.23 max branch formulas: 1865
% 33.05/33.23 proof nodes created: 15031
% 33.05/33.23 formulas created: 721491
% 33.05/33.23
%------------------------------------------------------------------------------